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WO2004113994A2 - Multi-phase contact lens - Google Patents

Multi-phase contact lens Download PDF

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Publication number
WO2004113994A2
WO2004113994A2 PCT/US2004/019083 US2004019083W WO2004113994A2 WO 2004113994 A2 WO2004113994 A2 WO 2004113994A2 US 2004019083 W US2004019083 W US 2004019083W WO 2004113994 A2 WO2004113994 A2 WO 2004113994A2
Authority
WO
WIPO (PCT)
Prior art keywords
contact lens
zones
phase
phases
zone
Prior art date
Application number
PCT/US2004/019083
Other languages
French (fr)
Other versions
WO2004113994A3 (en
Inventor
John M. Hall
Robert E. Fischer
Original Assignee
Optics 1, Inc.
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Optics 1, Inc. filed Critical Optics 1, Inc.
Priority to JP2006517294A priority Critical patent/JP2007524110A/en
Priority to EP04755326A priority patent/EP1639399A2/en
Publication of WO2004113994A2 publication Critical patent/WO2004113994A2/en
Publication of WO2004113994A3 publication Critical patent/WO2004113994A3/en

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Classifications

    • GPHYSICS
    • G02OPTICS
    • G02CSPECTACLES; SUNGLASSES OR GOGGLES INSOFAR AS THEY HAVE THE SAME FEATURES AS SPECTACLES; CONTACT LENSES
    • G02C7/00Optical parts
    • G02C7/02Lenses; Lens systems ; Methods of designing lenses
    • G02C7/024Methods of designing ophthalmic lenses
    • G02C7/028Special mathematical design techniques
    • GPHYSICS
    • G02OPTICS
    • G02CSPECTACLES; SUNGLASSES OR GOGGLES INSOFAR AS THEY HAVE THE SAME FEATURES AS SPECTACLES; CONTACT LENSES
    • G02C7/00Optical parts
    • G02C7/02Lenses; Lens systems ; Methods of designing lenses
    • G02C7/04Contact lenses for the eyes
    • G02C7/041Contact lenses for the eyes bifocal; multifocal
    • G02C7/042Simultaneous type
    • GPHYSICS
    • G02OPTICS
    • G02CSPECTACLES; SUNGLASSES OR GOGGLES INSOFAR AS THEY HAVE THE SAME FEATURES AS SPECTACLES; CONTACT LENSES
    • G02C7/00Optical parts
    • G02C7/02Lenses; Lens systems ; Methods of designing lenses
    • G02C7/04Contact lenses for the eyes
    • G02C7/041Contact lenses for the eyes bifocal; multifocal
    • G02C7/044Annular configuration, e.g. pupil tuned

Definitions

  • the present invention relates to and has industrial utility with respect to contact lenses.
  • Image coding allows for an enhanced or increased depth of focus (and/or depth of field) for a digital imaging system that includes an imaging lens (e.g., a commercial camera lens) and a computer image processor.
  • the technique requires placing an optically non-rotationally symmetric cubic phase plate (or functional equivalent) having a phase in the form of ⁇ x 3 + ⁇ y 3 at or near the aperture stop of the imaging lens.
  • the phase plate alters the energy density distribution from what it normally would be for a nominally well-corrected imaging lens.
  • the cubic phase plate introduces a known, quantifiable degree of aberration into the image.
  • the corresponding Point Spread Function (PSF) associated with the intentionally introduced phase aberration has the property that it remains largely unchanged over a greatly extended depth of field as compared to the imaging lens without the phase plate.
  • PSF Point Spread Function
  • FIG 1 is a schematic diagram of a lens 10 of a human eye ("eye lens") showing light rays 11, a focus F and depth of field (DOF) surround the focus.
  • a conventional eye lens has a single focus F that can be shifted via muscular action of the eye.
  • a contact lens is a single lens element that is placed in contact with the eye and over the eye lens (10) to correct vision problems, such as deteriorated accommodation (e.g., presbyopia).
  • FIG. 2 is a schematic diagram of an eye lens 10 in combination with a conventional bi-focal contact lens 12. As indicated by light rays 13 (dashed) and 14 (solid), the bi-focal contact lens 12 has a near focus position F N and a far (infinite) focus position F ⁇ , each with a corresponding DOF.
  • An example of such a bi-focal contact lens is disclosed in U.S. Patent No. 6,244,709, which patent is incorporated herein by reference.
  • a bifocal contact lens is used to enhance near vision and far vision, but typically does not have an effect on intermediate-range vision.
  • contact lens designs such as that disclosed in U.S. Patent No. 6,357,876 (the '876 patent), which patent is incorporated herein by reference, that are multi-focal and designed to enhance vision over the near, intermediate and far vision ranges through the use of a number of annular regions having optical power corresponding to focusing at the near, intermediate and far vision regions.
  • a design still has distinct near and far DOF ranges.
  • the amount of noise at each imaging distance is relatively large. For example, for a tri-focal lens, two-thirds of the light at each imaging distance is out of focus, which introduces substantial image noise relative to the one-third of light that is actually in focus.
  • U.S. Patent No. 6,536,898 discloses a contact lens that utilizes a surface having a single phase encoded thereon.
  • the phase provides an extended depth of focus (EDF) by providing a coded image onto the retina.
  • EDF extended depth of focus
  • the human brain then decodes this coded image, resulting in an in-focus image over an increase depth of focus.
  • FIG. 3 is a schematic diagram of an eye 10 in combination with a contact lens 16 according to the '898 patent.
  • Light rays 17 depicting the performance of the contact lens are also shown.
  • contact lens 16 forms a relatively "fuzzy" but acceptable focus (and thus a relatively fuzzy but acceptable image) over a relatively large DOF, as illustrated by curved light rays 17.
  • the human brain then processes the fuzzy image formed on the retina to compensate for the image coding effects, resulting in an in-focus image over a relatively large intermediate-range DOF (i.e., an EDF).
  • an EDF intermediate-range DOF
  • the contact lens of the '898 patent increases the DOF over that of a conventional contact lens, it utilizes a single phase to benefit the intermediate-range DOF. This is problematic because usually the near-visual (reading) range and the far- visual (infinite) focal distances are where the best imaging performance is often desired. Further, the single phase of the '898 patent contact lens requires a relatively high phase profile, which adds to the SNR.
  • a first aspect of the invention is a contact lens that includes two or more zones, wherein adjacent zones have different optical power (which may include zero optical power).
  • the one or more zones have corresponding one or more optical phases adapted to improve a depth of field as compared to the contact lens without the one or more corresponding phases.
  • the contact lens may have a total of five multi-focal zones each having the same optimized phase, a total of four multi- focal zones each having different optimized phases, a total of five multi-focal zones wherein less than all of the zones has an optimized phase, etc.
  • a second aspect of the invention is the above-described contact lens wherein one of the zones is a central zone and the other zones are concentric about the central zone.
  • a third aspect of the invention is a contact lens that has multiple zones each having optical power.
  • the lens also has one or more phases formed on corresponding one or more of the multiple zones.
  • the one or more phases each has an associated Point Spread Function (PSF) that is substantially invariant over a relatively large depth of focus (DOF) as compared to an aberration-free PSF.
  • PSF Point Spread Function
  • a fourth aspect of the invention is a method of forming a multi-phase contact lens.
  • the method includes forming two or more zones, wherein adjacent zones have different optical power.
  • the method also includes adding to at least one of the zones a corresponding phase that improves a depth of field as compared to the contact lens without the phase.
  • FIG 1 is a prior art schematic diagram of eye lens (10) showing the focus (F) and depth of field (DOF) surround the focus;
  • FIG. 2 is a prior art schematic diagram of an eye lens (10) in combination with a conventional bi-focal contact lens (12), wherein the bi-focal contact lens has a near focus position (F N ) and a far (infinite) focus position (F ⁇ ,) each with a corresponding DOF;
  • FIG. 3 is a schematic diagram of an eye (10) in combination with a contact lens (14) according to the '898 patent, illustrating the extended DOF in the intermediate focus range;
  • FIG. 4 is a plan view of an example embodiment of a multi-phase contact lens according to the present invention.
  • FIG. 5A is a plan view of an example embodiment of a prior art bi-focal contact lens having five multi-focal zones;
  • FIG. 5B is a plan view of an example embodiment of a multi-phase contact lens formed from the prior art bi-focal lens of FIG. 5A by adding a polynomial phase to each of the multi-focal zones;
  • FIG. 6 shows simulated retinal images of an extended object "F" formed by the example embodiment of the conventional five zone bi-focal contact lens of FIG. 5A for object distances of infinity (602), 4000mm (604), 1500mm (606) and 500mm (608), respectively;
  • FIGS. 7A-7D show the corresponding tangential and sagittal geometric line spread functions corresponding to the simulated images 602, 604, 606 and 608 of FIG. 6
  • FIG. 8 is a flow diagram of an example embodiment of a method of designing the multi-phase lens of the present invention.
  • FIG. 9 shows simulated retinal images of an extended object "F" formed by the example embodiment of the multi-phase contact lens of FIG. 5B for object distances of infinity (902), 4000mm (904), 1500mm (906) and 500mm (908), respectively;
  • FIGS. 10A-10D show the corresponding tangential and sagittal geometric line spread functions corresponding to the simulated images 902, 904, 906 and 908 of FIG. 9; and
  • FIG. 11 is a plot of the DOF in meters (logarithmic scale) for a single-phase single-focus contact lens of the '898 patent, the conventional bi-focal contact lens (50) of FIG. 5A and for the multi-phase bi-focal lens (100) of FIG. 5B, illustrating the improved DOF for the near-vision and far-vision regions for the multi-phase bifocal lens as compared to prior art contact lenses.
  • FIG. 4 is a plan view of an example embodiment of the multi-phase contact lens 20 of the present invention.
  • Contact lens 20 includes two or more zones Z (e.g., Z1, Z2 and Z3, as in FIG. 4).
  • adjacent zones have different optical power (optionally including no optical power).
  • one or more of the zones Z has a phase P (e.g., P1 , P2, P3, as in FIG. 4).
  • the particular phase P is selected according to the criteria for image-coding, which is that the point-spread function associated with the phase not change substantially over a relatively large range of defocus.
  • the phase is described by the polynomial ⁇ x 3 + ⁇ y 3 and is referred to herein as a "polynomial phase.” While higher-order polynomial phases can also be used, the inventors have found that optimization of imaging using higher-order phases does not significantly improve the imaging associated with a third-order polynomial phase.
  • the axes of the phase are rotated relative to each other in the different zones to optimize resolution in favored directions.
  • one of the zones Z is an on-axis, i.e., is a central zone (e.g., such as circular zone Z1) while the other zones surround the central zone.
  • one of the zones is a central circular zone and the other zones are annular zones that are concentric about the circular zone, as is shown in FIG. 4.
  • the zones Z have periodic alternating optical power.
  • central zone Z1 has near- vision power
  • first surrounding zone Z2 has far-vision power
  • the next surrounding zone Z3 has near-vision power
  • the phase P also periodically alternates, e.g., there is a first polynomial phase associated with the near-vision power zones and a second phase associated with far-vision power zones.
  • the zones have both periodically alternating power and periodically alternating phase P.
  • phase profile of the contact lens can be less than that associated with a contact lens having a single phase that extends over the entire lens. Also, the smaller phase profile results in a reduced SNR and thus better imaging performance.
  • the zones Z in contact lens 20 have a typical multi-focal (e.g., bi-focal, tri-focal, etc.) refractive profile, and a phase is added to one or more of the refractive zones of the otherwise typical bifocal lens.
  • a phase is added to each zone and is optimized for that zone, so that the phases differ between zones. This embodiment results in improved imaging performance of the visual ranges of the conventional multi-focal lens.
  • some of the phases P for different zones Z are the same, so long as there are at least two different phases in the multi-phase contact lens.
  • the phase added to each zone is the same.
  • phase when “a phase” is added to one or more of the zones, it is not necessary that the same phase be added to each zone. Thus, as in the example embodiments above, it can be that some but not all of the phases added to some of the zones are the same, while in other cases each added phase is different from the others.
  • the design of the multi-phase contact lens of the present invention starts with a conventional contact lens, such as a multi-focal contact lens having zero phase in each zone.
  • the imaging quality of this conventional contact lens is then evaluated.
  • one or more phases is/are added to one or more of the zones.
  • the phase or phases is/are then varied until the lens is optimized.
  • the number of phases added depends on how much optimization is desired or required. The more phases that are added, the greater the number of design degrees of freedom and thus the better the chances of achieving a higher degree of imaging performance. It should be noted that the phase added to the one or more zones is/are weak enough that any chromatic aberration introduced by the added phase is not significant.
  • FIG. 5A is a schematic diagram of an example conventional five zone (Z1- Z5) bifocal contact lens 50.
  • Contact lens 50 also has zones Z6 and Z7 surrounding zones Z1-Z5. Zones Z1-Z5 are called the multi-focal zones, while zone 6 is called the lenticular zone and zone 7 is called the peripheral zone.
  • Contact lens 50 is referred to as a five-zone because of the number of multi-focal zones.
  • contact lens 50 is assumed to have a power of -2 diopters for the far-vision zones and -0.5 diopters for near-vision (i.e., reading- distance) zones, which are typical powers for such a lens.
  • zones Z1-Z5 are assumed to have respective diameters of 2.0mm, 3.3mm, 4.5mm, 5.25 mm and 8mm.
  • zone 6 is assumed to have a radius of about 11.2mm and zone 7 is assumed to have a diameter of about 14.2mm.
  • zones Z1-Z5 are assumed to have far- vision, near-vision, far-vision, near-vision and far-vision power, respectively.
  • the center thickness of contact lens 50 is assumed to be about 0.1mm, and the saggital depth is assumed to be about 3.6mm.
  • the imaging performance of the above-described contact lens 50 was simulated using the letter F as a test object.
  • the imaging performance of the corresponding multi-phase contact lens of the present invention was compared to that of conventional contact lens 50, as well as to that of a single-phase contact lens. Imaging performance was modeled using ZEMAX lens design software, available from ZEMAX Development Corporation, San Diego, CA. However, because of the unique design of the multiphase contact lens of the present invention, the macro language of the software needed to be modified to handle the multiple phase zones. These modifications are described below and are indicated in the design with the term "USERSURF".
  • MTF modulation transfer function
  • point-spread function point-spread function
  • the line spread function with a 20% threshold was found to most closely represent the actual imaging performance.
  • visual assessment of a simulated extended image e.g., the letter "F” was the best image evaluation criteria even though it is somewhat subjective.
  • FIG. 6 shows simulated images 602, 604, 606 and 608 formed by the five zone bi-focal contact lens 50 for extended object "F" for infinity, 4000mm, 1500mm and 500mm, respectively.
  • FIGS. 7A-7D show the corresponding tangential and sagittal geometric line spread functions corresponding to images 602, 604, 606 and 608, respectively, from contact lens 50. Note in FIGS. 7A-7D the noise thresholds NT caused by the out-of-focus bifocal zones.
  • FIG. 8 is a flow diagram 800 of an example embodiment of a method of designing the multi-phase lens of the present invention.
  • the pseudo-code of the flow diagram was developed by the inventors so that the ZEMAX lens design computer program (software) could handle the multiple phase zones in the design process.
  • the use of the multiple phase components provides additional degrees of freedom to balance and optimize the lens for a given user's preference.
  • the method begins with a conventional multi-focal contact lens design.
  • the baseline performance of the peak resolution vs. depth of field for the conventional lens is established.
  • the optimization criteria and signal v. noise operands are established. For example, as discussed above, the tangential and sagittal line spread functions with a 20% threshold is used.
  • a visual assessment of a simulated extended image such as the letter "F" is used.
  • a phase (e.g., a polynomial phase) is added to one or more zones of the conventional multi-focal lens.
  • the amount of phase added is relatively weak and is selected as a starting point for subsequent optimization.
  • the lens performance is evaluated. If the performance is "NOT OK," then the method returns to 808, where the phase for the one or more zones is adjusted and/or phase is added to zones that initially did not have phase added in the previous iteration. The performance is again evaluated in 810, and the method iterates between 808 and 810 until the selected optimization criteria established in 806 is met. One the optimization criteria are met, the lens is deemed "OK" and the method terminates in 812.
  • Example multi-phase lenses e.g., a polynomial phase
  • Table 1 lists the design parameters for a multi-phase contact lens based on an optimization of the five-zone bi-focal contact lens 50 using the same optimized polynomial phase for zones Z2, Z3 and Z4 as defined in the customized "USERSURF" lens macro program code. All length measurements are in millimeters (mm).
  • Table 2 lists design parameters for a multi-phase contact lens based on an optimization of the five-zone bi-focal contact lens 50 that allowed for a different optimized polynomial phase in each zone. All length measurements are in millimeters (mm), and “S” represents "surface”. BK7 glass was used for modeling purposes, though the invention applies to all optical media suitable for contact lenses.
  • the multi-phase lens of the present invention is formed by a standard contact lens molding process, wherein the mold includes the designed phase P for each zone Z.
  • the lens can also be formed using direct means, such as by a computer-controlled lathe, by diamond turning, or by other precision polishing means.
  • Two example tools suitable for fabricating the multiphase contact lens of the present invention are the NANOFORM 600 from Precitech, Keene, NH, and the Magnetorheological Finishing (MRF) machine from QED, Inc., Rochester, NY.
  • FIG. 9 show simulated images of the object "F" formed by multi-phase contact lens 100 of FIG. 5B for infinity (902), 4000mm (904), 1500mm (906) and 500mm (908), respectively.
  • FIGS. 10A-10D show the corresponding tangential and sagittal geometric line spread functions corresponding to the images 902, 904, 906 and 908 for multi-phase contact lens 100 of FIG. 5B. Again, note in FIGS. 10A-10D the noise thresholds NT caused by the out-of-focus bifocal zones.
  • FIG. 11 plots the DOF estimates for a single-phase, single-focus contact lens of the '898 patent, the conventional bi-focal contact lens 50, and multi-phase contact lens 100 based the above-described imaging simulation performed over a large DOF range. It is important to note the logarithmic scale of the horizontal DOF axis. Both the line-spread function figure of merit and visual assessment of the modeled image were used to determine the points at which a "just noticeable" drop in visual acuity occurred.
  • the near-focus DOF for the multi-phase contact lens 100 is roughly double that the conventional bi-focal contact lens 50.
  • the near end of the far-vision DOF is significantly extended toward the near- vision DOF.
  • the significant increase in DOF in the near-vision and far-vision ranges is paid for by a very small reduction in the peak visual acuity which would be barely if at all noticeable.
  • the plot of FIG. 11 compares a conventional bifocal contact lens 50 to the modified multi-phase bifocal contact lens 100. So, as expected, there is a mid-range-vision gap in the DOF coverage.
  • the multiphase contact lens of the present invention includes embodiments that fill the mid- range gap by not limiting the refractive power of the zones to bi-focal.
  • zones Z are multi-focal, such as tri-focal with near-vision, intermediate-vision and far-vision zones, such as disclosed in the '876 patent.
  • the distinct DOF ranges associated with the multi-focal zones are then extended by adding one or more phases to one or more of the zones to extend each of the DOF ranges so that they approach or overlap one another.
  • FIG. 11 includes the DOF range for an optimized single-polynomial-phase, single-focus contact lens based on the '898 patent.
  • the optimization of such a lens results in improvement of the mid-vision range without improving the near or far vision ranges.
  • the multi-phase contact lens of the present invention is capable of covering a larger range of DOF, and in particular can cover the near and far visual ranges more effectively than an optimized single-phase, single-focus contact lens according to the '898 patent.

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  • Health & Medical Sciences (AREA)
  • Ophthalmology & Optometry (AREA)
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Abstract

A multi-phase contact lens (100) is disclosed. The multi-phase contact lens has multiple zones (Z) with refractive power. One or more of the zones has/have a corresponding added phase (P) based on image-coding principles that improves the depth of field (DOF) as compared to the contact lens without the added phase. The multiple phase components provide additional degrees of freedom to balance and optimize the lens for a given user’s preference.

Description

MULTI-PHASE CONTACT LENS
CLAIM OF PRIORITY
This application claims priority from U.S. Provisional Patent Application No. 60/480,299, filed on June 20, 2003, which Patent Application is incorporated herein by reference.
BACKGROUND INFORMATION Field of the Invention
The present invention relates to and has industrial utility with respect to contact lenses.
Description of the Related Art
Image coding
An imaging technique known as "wavefront coding" or "image coding" is disclosed in U.S. Patents No. 5,748,371 and 6,069,738, which patents are incorporated herein by reference. Image coding allows for an enhanced or increased depth of focus (and/or depth of field) for a digital imaging system that includes an imaging lens (e.g., a commercial camera lens) and a computer image processor. The technique requires placing an optically non-rotationally symmetric cubic phase plate (or functional equivalent) having a phase in the form of αx3 + βy3 at or near the aperture stop of the imaging lens. The phase plate alters the energy density distribution from what it normally would be for a nominally well-corrected imaging lens. The cubic phase plate introduces a known, quantifiable degree of aberration into the image. The corresponding Point Spread Function (PSF) associated with the intentionally introduced phase aberration has the property that it remains largely unchanged over a greatly extended depth of field as compared to the imaging lens without the phase plate.
Since the aberration introduced by the phase plate is known and quantifiable, its effect can be analytically reduced using a digital signal processor (DSP). Also, the image quality obtained over a relatively large range of object distances appear very similar because of PSF is relatively unchanged. Accordingly, by applying DPS algorithms to the aberrated image, a relatively sharp image is obtained over the range of object distances. The enhanced depth of field is at the expense of the signal-to- noise ratio (SMR). Contact lenses
FIG 1 is a schematic diagram of a lens 10 of a human eye ("eye lens") showing light rays 11, a focus F and depth of field (DOF) surround the focus. A conventional eye lens has a single focus F that can be shifted via muscular action of the eye. A contact lens is a single lens element that is placed in contact with the eye and over the eye lens (10) to correct vision problems, such as deteriorated accommodation (e.g., presbyopia).
There are a number of optical designs for contact lenses. FIG. 2 is a schematic diagram of an eye lens 10 in combination with a conventional bi-focal contact lens 12. As indicated by light rays 13 (dashed) and 14 (solid), the bi-focal contact lens 12 has a near focus position FN and a far (infinite) focus position Fι, each with a corresponding DOF. An example of such a bi-focal contact lens is disclosed in U.S. Patent No. 6,244,709, which patent is incorporated herein by reference. A bifocal contact lens is used to enhance near vision and far vision, but typically does not have an effect on intermediate-range vision.
There are also contact lens designs, such as that disclosed in U.S. Patent No. 6,357,876 (the '876 patent), which patent is incorporated herein by reference, that are multi-focal and designed to enhance vision over the near, intermediate and far vision ranges through the use of a number of annular regions having optical power corresponding to focusing at the near, intermediate and far vision regions. However, such a design still has distinct near and far DOF ranges. Also, the amount of noise at each imaging distance is relatively large. For example, for a tri-focal lens, two-thirds of the light at each imaging distance is out of focus, which introduces substantial image noise relative to the one-third of light that is actually in focus.
Image coding and contact lenses
Application of image coding techniques to the human visual system in the form of a contact lens is difficult because of the difficulties in providing digital signal postprocessing and image-redisplay components in a comfortable, corneal package. However, the human visual system is already accustomed to performing an enormous amount of neural signal processing, which can allow for image coding to be used with the human visual system under certain circumstances.
U.S. Patent No. 6,536,898 (the '898 patent), which patent is incorporated herein by reference, discloses a contact lens that utilizes a surface having a single phase encoded thereon. The phase provides an extended depth of focus (EDF) by providing a coded image onto the retina. The human brain then decodes this coded image, resulting in an in-focus image over an increase depth of focus.
FIG. 3 is a schematic diagram of an eye 10 in combination with a contact lens 16 according to the '898 patent. Light rays 17 depicting the performance of the contact lens are also shown. Unlike the bi-focal contact lens that has two distinct focus positions, contact lens 16 forms a relatively "fuzzy" but acceptable focus (and thus a relatively fuzzy but acceptable image) over a relatively large DOF, as illustrated by curved light rays 17. The human brain then processes the fuzzy image formed on the retina to compensate for the image coding effects, resulting in an in-focus image over a relatively large intermediate-range DOF (i.e., an EDF).
While the contact lens of the '898 patent increases the DOF over that of a conventional contact lens, it utilizes a single phase to benefit the intermediate-range DOF. This is problematic because usually the near-visual (reading) range and the far- visual (infinite) focal distances are where the best imaging performance is often desired. Further, the single phase of the '898 patent contact lens requires a relatively high phase profile, which adds to the SNR.
SUMMARY OF THE INVENTION
A first aspect of the invention is a contact lens that includes two or more zones, wherein adjacent zones have different optical power (which may include zero optical power). The one or more zones have corresponding one or more optical phases adapted to improve a depth of field as compared to the contact lens without the one or more corresponding phases. By way of example, the contact lens may have a total of five multi-focal zones each having the same optimized phase, a total of four multi- focal zones each having different optimized phases, a total of five multi-focal zones wherein less than all of the zones has an optimized phase, etc.
A second aspect of the invention is the above-described contact lens wherein one of the zones is a central zone and the other zones are concentric about the central zone.
A third aspect of the invention is a contact lens that has multiple zones each having optical power. The lens also has one or more phases formed on corresponding one or more of the multiple zones. The one or more phases each has an associated Point Spread Function (PSF) that is substantially invariant over a relatively large depth of focus (DOF) as compared to an aberration-free PSF.
A fourth aspect of the invention is a method of forming a multi-phase contact lens. The method includes forming two or more zones, wherein adjacent zones have different optical power. The method also includes adding to at least one of the zones a corresponding phase that improves a depth of field as compared to the contact lens without the phase.
These and other aspects of the invention are discussed in greater detail below.
BRIEF DESCRIPTION OF THE DRAWINGS
FIG 1 is a prior art schematic diagram of eye lens (10) showing the focus (F) and depth of field (DOF) surround the focus;
FIG. 2 is a prior art schematic diagram of an eye lens (10) in combination with a conventional bi-focal contact lens (12), wherein the bi-focal contact lens has a near focus position (FN) and a far (infinite) focus position (Fι,) each with a corresponding DOF;
FIG. 3 is a schematic diagram of an eye (10) in combination with a contact lens (14) according to the '898 patent, illustrating the extended DOF in the intermediate focus range;
FIG. 4 is a plan view of an example embodiment of a multi-phase contact lens according to the present invention;
FIG. 5A is a plan view of an example embodiment of a prior art bi-focal contact lens having five multi-focal zones;
FIG. 5B is a plan view of an example embodiment of a multi-phase contact lens formed from the prior art bi-focal lens of FIG. 5A by adding a polynomial phase to each of the multi-focal zones;
FIG. 6 shows simulated retinal images of an extended object "F" formed by the example embodiment of the conventional five zone bi-focal contact lens of FIG. 5A for object distances of infinity (602), 4000mm (604), 1500mm (606) and 500mm (608), respectively;
FIGS. 7A-7D show the corresponding tangential and sagittal geometric line spread functions corresponding to the simulated images 602, 604, 606 and 608 of FIG. 6
FIG. 8 is a flow diagram of an example embodiment of a method of designing the multi-phase lens of the present invention;
FIG. 9 shows simulated retinal images of an extended object "F" formed by the example embodiment of the multi-phase contact lens of FIG. 5B for object distances of infinity (902), 4000mm (904), 1500mm (906) and 500mm (908), respectively; FIGS. 10A-10D show the corresponding tangential and sagittal geometric line spread functions corresponding to the simulated images 902, 904, 906 and 908 of FIG. 9; and
FIG. 11 is a plot of the DOF in meters (logarithmic scale) for a single-phase single-focus contact lens of the '898 patent, the conventional bi-focal contact lens (50) of FIG. 5A and for the multi-phase bi-focal lens (100) of FIG. 5B, illustrating the improved DOF for the near-vision and far-vision regions for the multi-phase bifocal lens as compared to prior art contact lenses.
DETAILED DESCRIPTION OF THE INVENTION
FIG. 4 is a plan view of an example embodiment of the multi-phase contact lens 20 of the present invention. Contact lens 20 includes two or more zones Z (e.g., Z1, Z2 and Z3, as in FIG. 4). In an example embodiment, adjacent zones have different optical power (optionally including no optical power). Further, one or more of the zones Z has a phase P (e.g., P1 , P2, P3, as in FIG. 4). The particular phase P is selected according to the criteria for image-coding, which is that the point-spread function associated with the phase not change substantially over a relatively large range of defocus.
In an example embodiment, the phase is described by the polynomial αx3 + βy3 and is referred to herein as a "polynomial phase." While higher-order polynomial phases can also be used, the inventors have found that optimization of imaging using higher-order phases does not significantly improve the imaging associated with a third-order polynomial phase. In an example embodiment, the axes of the phase are rotated relative to each other in the different zones to optimize resolution in favored directions.
In an example embodiment, one of the zones Z is an on-axis, i.e., is a central zone (e.g., such as circular zone Z1) while the other zones surround the central zone. In an example embodiment, one of the zones is a central circular zone and the other zones are annular zones that are concentric about the circular zone, as is shown in FIG. 4.
In an example embodiment, the zones Z have periodic alternating optical power. For example, with continuing reference to FIG. 4, central zone Z1 has near- vision power, first surrounding zone Z2 has far-vision power, the next surrounding zone Z3 has near-vision power, etc. Likewise, in another example, central zone Z1 has far-vision power, first surrounding zone Z2 has near-vision power, the next surrounding zone Z3 has far-vision power, etc. In another example embodiment, the phase P also periodically alternates, e.g., there is a first polynomial phase associated with the near-vision power zones and a second phase associated with far-vision power zones.
In a further example embodiment, the zones have both periodically alternating power and periodically alternating phase P.
Because each phase P only extends over its corresponding zone Z, the phase profile of the contact lens can be less than that associated with a contact lens having a single phase that extends over the entire lens. Also, the smaller phase profile results in a reduced SNR and thus better imaging performance.
In an example embodiment, the zones Z in contact lens 20 have a typical multi-focal (e.g., bi-focal, tri-focal, etc.) refractive profile, and a phase is added to one or more of the refractive zones of the otherwise typical bifocal lens. In an example embodiment, a phase is added to each zone and is optimized for that zone, so that the phases differ between zones. This embodiment results in improved imaging performance of the visual ranges of the conventional multi-focal lens.
In another example embodiment, some of the phases P for different zones Z are the same, so long as there are at least two different phases in the multi-phase contact lens. In another example embodiment, the phase added to each zone is the same.
In the present description and in the claims below, when "a phase" is added to one or more of the zones, it is not necessary that the same phase be added to each zone. Thus, as in the example embodiments above, it can be that some but not all of the phases added to some of the zones are the same, while in other cases each added phase is different from the others.
Example design
In an example embodiment, the design of the multi-phase contact lens of the present invention starts with a conventional contact lens, such as a multi-focal contact lens having zero phase in each zone. The imaging quality of this conventional contact lens is then evaluated. Then, one or more phases is/are added to one or more of the zones. The phase or phases is/are then varied until the lens is optimized. The number of phases added depends on how much optimization is desired or required. The more phases that are added, the greater the number of design degrees of freedom and thus the better the chances of achieving a higher degree of imaging performance. It should be noted that the phase added to the one or more zones is/are weak enough that any chromatic aberration introduced by the added phase is not significant.
FIG. 5A is a schematic diagram of an example conventional five zone (Z1- Z5) bifocal contact lens 50. Contact lens 50 also has zones Z6 and Z7 surrounding zones Z1-Z5. Zones Z1-Z5 are called the multi-focal zones, while zone 6 is called the lenticular zone and zone 7 is called the peripheral zone. Contact lens 50 is referred to as a five-zone because of the number of multi-focal zones.
By way of example, contact lens 50 is assumed to have a power of -2 diopters for the far-vision zones and -0.5 diopters for near-vision (i.e., reading- distance) zones, which are typical powers for such a lens. Further, zones Z1-Z5 are assumed to have respective diameters of 2.0mm, 3.3mm, 4.5mm, 5.25 mm and 8mm. Also, zone 6 is assumed to have a radius of about 11.2mm and zone 7 is assumed to have a diameter of about 14.2mm. In addition, zones Z1-Z5 are assumed to have far- vision, near-vision, far-vision, near-vision and far-vision power, respectively. Also, the center thickness of contact lens 50 is assumed to be about 0.1mm, and the saggital depth is assumed to be about 3.6mm.
The imaging performance of the above-described contact lens 50 was simulated using the letter F as a test object. The image formed subtended less than 136 microns to simulate the minimum recommended alphanumeric character size on the retina. Also, since there is negligible performance degradation across the foveal limited field of view, only on-axis images were evaluated. Note also that since on-axis imaging very closely approximates off-axis performance, on-axis optimization is generally sufficient for designing specific multi-phase contact lenses.
The imaging performance of the corresponding multi-phase contact lens of the present invention (described below) was compared to that of conventional contact lens 50, as well as to that of a single-phase contact lens. Imaging performance was modeled using ZEMAX lens design software, available from ZEMAX Development Corporation, San Diego, CA. However, because of the unique design of the multiphase contact lens of the present invention, the macro language of the software needed to be modified to handle the multiple phase zones. These modifications are described below and are indicated in the design with the term "USERSURF".
The inventors found that the usual merit functions for evaluating image quality, such as the modulation transfer function (MTF) and point-spread function, do not adequately represent contact lens imaging performance for the different contact lenses considered herein. Of the various merit functions available, the line spread function with a 20% threshold was found to most closely represent the actual imaging performance. Also, the inventors found that visual assessment of a simulated extended image (e.g., the letter "F") was the best image evaluation criteria even though it is somewhat subjective.
FIG. 6 shows simulated images 602, 604, 606 and 608 formed by the five zone bi-focal contact lens 50 for extended object "F" for infinity, 4000mm, 1500mm and 500mm, respectively. FIGS. 7A-7D show the corresponding tangential and sagittal geometric line spread functions corresponding to images 602, 604, 606 and 608, respectively, from contact lens 50. Note in FIGS. 7A-7D the noise thresholds NT caused by the out-of-focus bifocal zones.
Multi-phase contact lens design
FIG. 8 is a flow diagram 800 of an example embodiment of a method of designing the multi-phase lens of the present invention. The pseudo-code of the flow diagram was developed by the inventors so that the ZEMAX lens design computer program (software) could handle the multiple phase zones in the design process. The use of the multiple phase components provides additional degrees of freedom to balance and optimize the lens for a given user's preference.
With reference to flow diagram 800, in 802 the method begins with a conventional multi-focal contact lens design. In 804, the baseline performance of the peak resolution vs. depth of field for the conventional lens is established. Then in 804, the optimization criteria and signal v. noise operands are established. For example, as discussed above, the tangential and sagittal line spread functions with a 20% threshold is used. In addition to or in the alternative, a visual assessment of a simulated extended image such as the letter "F" is used.
In 808, in the first pass through the method, a phase (e.g., a polynomial phase) is added to one or more zones of the conventional multi-focal lens. In an example embodiment, the amount of phase added is relatively weak and is selected as a starting point for subsequent optimization. In 810, the lens performance is evaluated. If the performance is "NOT OK," then the method returns to 808, where the phase for the one or more zones is adjusted and/or phase is added to zones that initially did not have phase added in the previous iteration. The performance is again evaluated in 810, and the method iterates between 808 and 810 until the selected optimization criteria established in 806 is met. One the optimization criteria are met, the lens is deemed "OK" and the method terminates in 812. Example multi-phase lenses
Table 1, below, lists the design parameters for a multi-phase contact lens based on an optimization of the five-zone bi-focal contact lens 50 using the same optimized polynomial phase for zones Z2, Z3 and Z4 as defined in the customized "USERSURF" lens macro program code. All length measurements are in millimeters (mm).
TABLE 1
GENERAL LENS DATA (mm)
Surfaces 6
Stop: 1
System Aperture 8.5 (entrance pupil diameter)
Glass Catalogs SCHOTT
Ray Aiming Off
Apodization Uniform, factor = O.OOOOOE+000
Effective Focal Length 0.1986679 (in air at system temperature and pressure)
Effective Focal Length 0.1986679 (in image space)
Back Focal Length -0.4797135
Total Track 23.2
Image Space F/# 0.02337269
Paraxial Working F/# 0.02337269
Working F/# 2.056107
Image Space NA 0.9989092
Object Space NA.. 4.25e-010
Stop Radius.................. 4.25
Paraxial Image Height 0
Paraxial Magnification 0
Entrance Pupil Diameter.......8.5
Entrance Pupil Position.........0
Exit Pupil Diameter..............0.3370914
Exit Pupil Position. .-17.47183
Field Type Angle in degrees
Maximum Field ....0
Primary Wave .0.55
Lens Units Millimeters
Angular Magnification 0
Fields 1
Field Type Angle in degrees
# X-Value Y-Value Weight
1 0.000000 0.000000 1.000000
Vignetting Factors
# VDX VDY VCX VCY VAN
1 0.000000 0.000000 0.000000 0.000000 0.000000
Wavelength 550 microns SURFACE DATA SUMMARY
Figure imgf000011_0001
SURFACE DETAIL
Surface OBJ STANDARD Surface STO STANDARD Surface 2 STANDARD Aperture Circular Aperture Minimum Radius 0 Maximum Radius 5
Surface 3 USERSURF # Zones (Z) = 5
Zone 1
Diameter: 2 Rcurv: -129.29693 X3: 0 Y3: 0
Zone 2
Diameter: 1.3 Rcurv: -255.28425 X3: 3.9174307E-5 Y3: 3.9174307E-5
Zone S Diameter: 1.15 Rcurv: -129.29693 X3: 0 Y3: 0
Zone 4 Diameter: 0.8 Rcurv: -255.28425 X3: 3.9174307E-5 Y3: 3.9174307E-5
Zone 5 Diameter: 2.75 Rcurv: -129.29693 X3: 0 Y3: 0
MULTI-CONFIGURATION DATA Configuration 1:
1 Imaging distance: FAR
2 Thickness 1e+010
Configuration 2:
1 Imaging distance: MID FAR
2 Thickness 4000
Configuration 3:
1 Imaging distance NEAR
2 Thickness 500
Configuration 4:
1 Imaging distance: MID NEAR
2 Thickness 450
Table 2, below, lists design parameters for a multi-phase contact lens based on an optimization of the five-zone bi-focal contact lens 50 that allowed for a different optimized polynomial phase in each zone. All length measurements are in millimeters (mm), and "S" represents "surface". BK7 glass was used for modeling purposes, though the invention applies to all optical media suitable for contact lenses.
TABLE 2
Figure imgf000012_0001
SURFACE DETAIL
Surface OBJ STANDARD Surface STO STANDARD Surface 2 STANDARD Aperture Circular Aperture Minimum Radius 0 Maximum Radius 5 Near-sighted eye 2.5E+02 Eye focal length 17
Surface 3 USERSURF
# Zones (Z) 5
Zone 1 (Far)
Diameter: Rcurv: -129.29693 X3: 3.00E-5 Y3: 3.00E-5
Zone 2 (Near) Diameter: 1.3 Rcurv: -255.28425 X3: 5.00E-5 Y3: 5.00E-5
Zone 3 (Far) Diameter: 1.15 Rcurv: -129.29693 X3: 3.00E-5 Y3: 3.00E-5
Zone 4 (Near) Diameter: 0.8 Rcurv: -255.28425 X3: 5.00E-5 Y3: 5.00E-5
Zone 5 (Far)
Diameter: 2.75
Rcurv: -129.29693
X3: 3.00E-5
Y3: 3.00E-5
In an example embodiment, the multi-phase lens of the present invention is formed by a standard contact lens molding process, wherein the mold includes the designed phase P for each zone Z. The lens can also be formed using direct means, such as by a computer-controlled lathe, by diamond turning, or by other precision polishing means. Two example tools suitable for fabricating the multiphase contact lens of the present invention are the NANOFORM 600 from Precitech, Keene, NH, and the Magnetorheological Finishing (MRF) machine from QED, Inc., Rochester, NY.
Multi-phase lens imaging performance
FIG. 9 show simulated images of the object "F" formed by multi-phase contact lens 100 of FIG. 5B for infinity (902), 4000mm (904), 1500mm (906) and 500mm (908), respectively. FIGS. 10A-10D show the corresponding tangential and sagittal geometric line spread functions corresponding to the images 902, 904, 906 and 908 for multi-phase contact lens 100 of FIG. 5B. Again, note in FIGS. 10A-10D the noise thresholds NT caused by the out-of-focus bifocal zones.
FIG. 11 plots the DOF estimates for a single-phase, single-focus contact lens of the '898 patent, the conventional bi-focal contact lens 50, and multi-phase contact lens 100 based the above-described imaging simulation performed over a large DOF range. It is important to note the logarithmic scale of the horizontal DOF axis. Both the line-spread function figure of merit and visual assessment of the modeled image were used to determine the points at which a "just noticeable" drop in visual acuity occurred.
As indicated in the plot of FIG. 11, the near-focus DOF for the multi-phase contact lens 100 is roughly double that the conventional bi-focal contact lens 50. Also, the near end of the far-vision DOF is significantly extended toward the near- vision DOF. The significant increase in DOF in the near-vision and far-vision ranges is paid for by a very small reduction in the peak visual acuity which would be barely if at all noticeable.
It is important to note that the plot of FIG. 11 compares a conventional bifocal contact lens 50 to the modified multi-phase bifocal contact lens 100. So, as expected, there is a mid-range-vision gap in the DOF coverage. However, the multiphase contact lens of the present invention includes embodiments that fill the mid- range gap by not limiting the refractive power of the zones to bi-focal.
Thus, in an example embodiment of the multi-phase contact lens of the present invention, zones Z are multi-focal, such as tri-focal with near-vision, intermediate-vision and far-vision zones, such as disclosed in the '876 patent. The distinct DOF ranges associated with the multi-focal zones are then extended by adding one or more phases to one or more of the zones to extend each of the DOF ranges so that they approach or overlap one another. Comparison to the single-phase contact lens
The performance of the multi-phase contact lens 100 was also compared to that of an optimized single-phase contact lens according to the '898 patent. FIG. 11 includes the DOF range for an optimized single-polynomial-phase, single-focus contact lens based on the '898 patent. The optimization of such a lens results in improvement of the mid-vision range without improving the near or far vision ranges. Thus, the multi-phase contact lens of the present invention is capable of covering a larger range of DOF, and in particular can cover the near and far visual ranges more effectively than an optimized single-phase, single-focus contact lens according to the '898 patent.

Claims

What is claimed is:
1. A contact lens comprising: two or more zones, wherein adjacent zones have different optical power; and wherein one or more of the zones have corresponding one or more optical phases adapted to improve a depth of field as compared to the contact lens without the one or more corresponding phases.
2. The contact lens of claim 1 , wherein one of the zones is a central zone and wherein the remaining zones are concentric about the central zone.
3. The contact lens of claim 2, wherein the zones have periodically alternating optical power.
4. The contact lens of claim 3, wherein the zones have periodically alternating phase.
5. The contact lens of claim 1 , where each zone has one of near-vision optical power and far-vision optical power.
6. The contact lens of claim 1 , wherein each zone has one of near-vision optical power, intermediate vision optical power and far-vision optical power.
7. The contact lens of claim 1 , wherein the corresponding phase includes a polynomial phase.
8. The contact lens of claim 1 , wherein only one of the two or more zones includes the corresponding phase.
9. The contact lens of claim 1 , wherein each of the zones includes the corresponding phase, and wherein some but not all of the corresponding phases are the same.
10. A contact lens comprising: multiple zones each having optical power; one or more phases formed on corresponding one or more of the multiple zones; and wherein the one or more phases each has an associated Point Spread Function (PSF) that is substantially invariant over a relatively large depth of focus (DOF) as compared to an aberration-free PSF.
11. The contact lens of claim 10, wherein only one of the multiple zones includes a phase.
12. The contact lens of claim 10, wherein each of the multiple zones includes the corresponding phase, and wherein some but not all of the corresponding phases are different.
13. The contact lens of claim 10, wherein the multiple zones include a circular central zone and one or more annular zones centered about the central zone.
14. The contact lens of claim 10, wherein at least one of the one or more phases is a polynomial phase.
15. A method of forming a multi-phase contact lens, comprising: forming two or more zones, wherein adjacent zones have different optical power; and adding to at least one of the zones a corresponding phase that improves a depth of field as compared to the contact lens without the phase.
16. The method of claim 15, including forming one of the zones as central zone and forming the remaining zones as being concentric about the central zone.
17. The method of claim 15, including adding the corresponding phase to each of the two or more zones.
18. The method of claim 17, wherein some but not all of the corresponding phases are the same.
19. The method of claim 15, wherein the corresponding phase includes a polynomial phase.
20. A method of forming a multi-phase contact lens, comprising: forming a central circular zone and at least one concentric zone about the circular zone, with each zone having refractive power; and adding to one or more of the zones respective one or more phases that extend a depth of field (DOF) of the contact lens as compared to the contact lens without the added one or more phases.
21. The method of claim 20, wherein adding the respective one or more phases includes adding at least one polynomial phase.
22. The method of claim 20, including adding the respective phases to each zone.
23. The method of claim 22, wherein some but not all of the respective phases are the same.
24. The method of claim 20, including forming three or more zones each with a respective phase, wherein at least one of the phases is different from the other phases.
25. A method of forming an optimized multi-phase contact lens, comprising: providing to a lens design computer program parameters for a conventional multi-focal contact lens having multiple zones each with a refractive power; adding parameters to the lens design computer program corresponding to one or more phases added to one or more of the multiple zones; optimizing with the lens design computer program the one or more phases to increase a depth of field (DOF) as compared to the conventional multi-focal contact lens; and forming the multi-phase contact lens so as to have said multiple zones with the optimized one or more phases as determined by said lens design computer program.
PCT/US2004/019083 2003-06-20 2004-06-15 Multi-phase contact lens WO2004113994A2 (en)

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