US20050275926A1 - Variable focusing lens comprising micromirrors with one degree of freedom rotation - Google Patents
Variable focusing lens comprising micromirrors with one degree of freedom rotation Download PDFInfo
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- US20050275926A1 US20050275926A1 US10/855,554 US85555404A US2005275926A1 US 20050275926 A1 US20050275926 A1 US 20050275926A1 US 85555404 A US85555404 A US 85555404A US 2005275926 A1 US2005275926 A1 US 2005275926A1
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- 239000000463 material Substances 0.000 claims abstract description 5
- 238000002310 reflectometry Methods 0.000 claims abstract description 4
- 239000003989 dielectric material Substances 0.000 claims abstract description 3
- 239000002184 metal Substances 0.000 claims abstract description 3
- 150000002736 metal compounds Chemical class 0.000 claims abstract description 3
- 238000004377 microelectronic Methods 0.000 claims description 8
- 239000004065 semiconductor Substances 0.000 claims description 6
- 230000008859 change Effects 0.000 claims description 2
- 230000003287 optical effect Effects 0.000 abstract description 9
- 238000006073 displacement reaction Methods 0.000 abstract 1
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- 230000033001 locomotion Effects 0.000 description 4
- 238000000034 method Methods 0.000 description 4
- 238000010586 diagram Methods 0.000 description 3
- 238000003384 imaging method Methods 0.000 description 2
- 239000004973 liquid crystal related substance Substances 0.000 description 2
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B5/00—Optical elements other than lenses
- G02B5/08—Mirrors
- G02B5/09—Multifaceted or polygonal mirrors, e.g. polygonal scanning mirrors; Fresnel mirrors
-
- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B26/00—Optical devices or arrangements for the control of light using movable or deformable optical elements
- G02B26/08—Optical devices or arrangements for the control of light using movable or deformable optical elements for controlling the direction of light
- G02B26/0816—Optical devices or arrangements for the control of light using movable or deformable optical elements for controlling the direction of light by means of one or more reflecting elements
- G02B26/0825—Optical devices or arrangements for the control of light using movable or deformable optical elements for controlling the direction of light by means of one or more reflecting elements the reflecting element being a flexible sheet or membrane, e.g. for varying the focus
Definitions
- the present invention relates to a variable focal length lens comprising micromirrors with one degree of freedom (DOF) rotation and operational methods for the lens.
- DOE degree of freedom
- variable focal length lens A most widely used conventional variable focal length system is the one using two refractive lenses. It has complex driving mechanisms to control the relative positions of refractive lenses and a slow response time.
- variable focal length lenses have been made. Variable focal length lenses can be made by changing the shape of the lens, as is found in the human eye; this method has been used in lenses made with isotropic liquids.
- Other lenses have been made of electrically variable refractive index media to create either a conventional lens or a gradient index lens by means of a voltage gradient. The electrically variable refractive index allows the focal length of the lenses to be voltage controlled.
- the most advanced variable focal length lens is a liquid crystal variable focal length lens, which has a complex mechanism to control the focal length.
- the conventional micromirror array lens mainly consists of micromirrors and actuating components.
- the focal length of the conventional micromirror array lens is varied by both one DOF translation and one DOF rotation of each micromirror.
- micromirror with both one DOF translation and one DOF rotation has a complex mechanical structure, actuating components and coupled motion. Therefore, fabrication, accurate control, and large motions of the micromirror are difficult. To be applied more easily and widely, a micromirror array lens with much simple mechanical structure and actuating components is necessary. Therefore, a micromirror array lens comprising micromirrors with only one DOF rotation is invented.
- the present invention contrives to solve the disadvantages of the conventional variable focal length lens.
- the objective of the invention is to improve the design and control of the conventional micromirror array lens.
- micromirror array lens is described in J. Boyd and G. Cho, 2003, “Fast-response Variable Focusing Micromirror Array Lens,” Proceeding of SPIE Vol. 5055: 278-286.
- the invention works as a variable focal length lens, and consists of many micromirrors to reflect the light and actuating components to control positions of the micromirrors. Each micromirror has the same function as a mirror. By making all lights scattered from one point of an object have the same periodical phase and converge at one point of image plane, the conventional micromirror array works as a reflective focal length lens. In order to do this, the micromirrors were electrostatically controlled to have desired positions by actuating components.
- a diffraction-limited micromirror array lens is formed by controlling both one degree of freedom (DOF) translation and one degree of freedom (DOF) rotation of each micromirror.
- the micromirror with both one DOF translation and one DOF rotation has a complex mechanical structure, actuating components and coupled motion. Therefore, fabrication, accurate control, and large motions of the micromirror are difficult.
- a micromirror array lens with one DOF rotation of micromirrors has a much simple mechanical structure and actuating components.
- the micromirror array lens formed by the control of one DOF rotation has relatively larger aberration because the same phase condition is not satisfied.
- the quality of the lens formed by control of one DOF rotation is lower than the lens formed by control of both one DOF rotation and one DOF translation, it can be used as a variable focal length lens such as an imaging lens with low quality or focusing lens because of advantages that its structure and control is much simpler than those of the lens with both one DOF rotation and one DOF translation.
- the micromirror array lens can be formed by a polar array of the micromirrors.
- each micromirror has a fan shape to increase an effective reflective area, so that the optical efficiency increases.
- the optical efficiency of the micromirror array lens can be improved by locating a mechanical structure upholding micromirrors and the actuating components under micromirrors to increase an effective reflective area.
- Electric circuits to operate the micromirrors can be replaced with known semiconductor microelectronics technologies such as MOS and CMOS. Applying the microelectronics circuits under micromirror array, the effective reflective area can be increased by removing necessary area for electrode pads and wires.
- micromirrors are arranged to form one or more concentric circles to form the axisymmetric lens and the micromirrors on the same concentric circle can be controlled by the same electrodes with concentric circle shape or controlled by know semiconductor microelectronics technologies such as MOS or CMOS independently.
- each of the micromirrors has a curvature because the ideal shape of a conventional reflective lens has a curvature. If the size of the flat micromirror is small enough, the aberration of the lens comprising flat micromirrors is also small enough. In this case, the micromirror does not need a curvature.
- the micromirror array lens has a very fast response time because each micromirror has a tiny mass; (2) the lens has a high optical focusing efficiency; (3) the lens can have a large size aperture without losing optical performance. Because the micromirror array lens consists of discrete micromirrors, the increase in the size of the lens does not cause the increase in aberration caused by shape error of a lens; (4) the lens is cost effective because of the advantages of its mass productivity; (6) the lens has simple structure and control.
- FIG. 1 is a schematic diagram showing the cut-away side view of a conventional micromirror array lens
- FIG. 2 is a schematic diagram showing how the micromirror array lens comprising micromirrors with only one DOF rotation works as a lens;
- FIG. 3 is an in-plane schematic view showing a circular micromirror array lens comprising micromirrors with one DOF rotation and actuating components;
- FIG. 4 is a schematic diagram showing the cylindrical lens comprising rectangular shape micromirrors.
- FIG. 1 illustrates the principle of the conventional micromirror array lens 11 .
- the first is the converging condition that all lights scattered by one point of an object should converge into one point of the image plane.
- the second is the same phase condition that all converging light should have the same phase at the image plane.
- the surface shape of conventional reflective lens 12 is formed to have all lights scattered by one point of an objective to be converged into one point of the image plane and have the optical path length of all converging light to be same.
- a micromirror array arranged in flat plane can satisfy two conditions to be a lens.
- Each of the micromirrors 13 rotates to converge the scattered light.
- all micromirrors 13 of the conventional micromirror array lens 11 are arranged in a flat plane as shown in FIG. 1 , the optical path length of lights converged by one DOF rotation of each micromirror is different. Even though the optical path length of converging light is different, the same phase condition can be satisfied with adjusting the phase because the phase of light is periodic.
- FIG. 2 illustrates how the micromirror array lens 21 comprising micromirrors with one DOF rotation images.
- Arbitrary scattered lights 22 , 23 are converged into one point P of the image plane by controlling the positions of the micromirrors 24 .
- the phases of arbitrary lights 22 , 23 are not adjusted to satisfy same phase condition. Even though the phase condition is not satisfied, low quality imaging or focusing is still possible.
- FIG. 3 illustrates the in-plane view of a circular micromirror array lens 31 comprising micromirrors with one DOF rotation.
- the micromirror 32 has the same function as a mirror. Therefore, the reflective surface of the micromirror is made of metal, metal compound, multi-layered dielectric material, or other materials with high reflectivity. Many known microfabrication processes can make the surface with high reflectivity.
- Each micromirror 32 is electrostatically and/or electromagnetically controlled by the actuating components 33 as known. Because a circular lens is an axisymmetric, the micromirror array lens 31 has a polar array of the micromirrors 32 .
- Each of the micromirrors 32 has a fan shape to increase an effective reflective area, which increases optical efficiency.
- micromirrors are arranged in a flat plane because they are fabricated by known microfabrication processes.
- the micromirrors are arranged to form one or more concentric circles to form the axisymmetric lens and the micromirrors on the same concentric circle can be controlled by the same electrodes with concentric circle shape or controlled by known semiconductor microelectronics technologies such as MOS or CMOS independently.
- each of the micromirrors 32 has a curvature because the ideal shape of a conventional reflective lens 12 has a curvature.
- the curvature of micromirror should be controlled.
- the curvature of the micromirror is controlled by electrothermal or electrostatic force. If the size of the flat micromirror is small enough, the aberration of the lens comprising flat micromirrors 32 is also small enough. In this case, the micromirror does not need a curvature.
- each reflective micromirror 32 and the actuating components 33 are located under the micromirrors 32 to increase the effective reflective area.
- electric circuits to operate the micromirrors can be replaced with known semiconductor microelectronics technologies such as MOS and CMOS. Applying the microelectronics circuits under micromirror array, the effective reflective area can be increased by removing necessary area for electrode pads and wires used to supply actuating power.
- FIG. 4 shows a variable focal length cylindrical lens 41 comprising rectangular micromirrors 42 .
- the rotational amount of the micromirror is represented by length of arrow 43 and the rotational direction of the micromirror is represented by direction of arrow 43 .
- An array comprising square or rectangle micromirrors 42 is appropriate to a symmetric lens about one axis of in-plane such as cylindrical lens 41 .
- the micromirrors with same rotation are controlled by the same electrode or controlled by know semiconductor microelectronics technologies such as MOS or CMOS independently.
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Abstract
Description
- The present invention relates to a variable focal length lens comprising micromirrors with one degree of freedom (DOF) rotation and operational methods for the lens.
- A most widely used conventional variable focal length system is the one using two refractive lenses. It has complex driving mechanisms to control the relative positions of refractive lenses and a slow response time. Alternatively, variable focal length lenses have been made. Variable focal length lenses can be made by changing the shape of the lens, as is found in the human eye; this method has been used in lenses made with isotropic liquids. Other lenses have been made of electrically variable refractive index media to create either a conventional lens or a gradient index lens by means of a voltage gradient. The electrically variable refractive index allows the focal length of the lenses to be voltage controlled. Among them, the most advanced variable focal length lens is a liquid crystal variable focal length lens, which has a complex mechanism to control the focal length. Its focal length is changed by modulating the refractive index. Unfortunately, it has a slow response time typically on the order of hundreds of milliseconds. Even though the fastest response liquid crystal lens has the response time of tens of milliseconds, it has small focal length variation and low focusing efficiency.
- To solve the disadvantages of the conventional focal length lens, a fast-response micromirror array lens was proposed. The details of the fast-response micromirror array lens are described in J. Boyd and G. Cho, 2003, “Fast-response Variable Focusing Micromirror Array Lens,” Proceeding of SPIE Vol. 5055: 278-286. The paper is incorporated by reference into this disclosure as if fully set forth herein. The conventional micromirror array lens mainly consists of micromirrors and actuating components. The focal length of the conventional micromirror array lens is varied by both one DOF translation and one DOF rotation of each micromirror. The micromirror with both one DOF translation and one DOF rotation has a complex mechanical structure, actuating components and coupled motion. Therefore, fabrication, accurate control, and large motions of the micromirror are difficult. To be applied more easily and widely, a micromirror array lens with much simple mechanical structure and actuating components is necessary. Therefore, a micromirror array lens comprising micromirrors with only one DOF rotation is invented.
- The present invention contrives to solve the disadvantages of the conventional variable focal length lens.
- The objective of the invention is to improve the design and control of the conventional micromirror array lens.
- Conventional micromirror array lens is described in J. Boyd and G. Cho, 2003, “Fast-response Variable Focusing Micromirror Array Lens,” Proceeding of SPIE Vol. 5055: 278-286. The invention works as a variable focal length lens, and consists of many micromirrors to reflect the light and actuating components to control positions of the micromirrors. Each micromirror has the same function as a mirror. By making all lights scattered from one point of an object have the same periodical phase and converge at one point of image plane, the conventional micromirror array works as a reflective focal length lens. In order to do this, the micromirrors were electrostatically controlled to have desired positions by actuating components. A diffraction-limited micromirror array lens is formed by controlling both one degree of freedom (DOF) translation and one degree of freedom (DOF) rotation of each micromirror. The micromirror with both one DOF translation and one DOF rotation has a complex mechanical structure, actuating components and coupled motion. Therefore, fabrication, accurate control, and large motions of the micromirror are difficult. A micromirror array lens with one DOF rotation of micromirrors has a much simple mechanical structure and actuating components. The micromirror array lens formed by the control of one DOF rotation has relatively larger aberration because the same phase condition is not satisfied. Even though the quality of the lens formed by control of one DOF rotation is lower than the lens formed by control of both one DOF rotation and one DOF translation, it can be used as a variable focal length lens such as an imaging lens with low quality or focusing lens because of advantages that its structure and control is much simpler than those of the lens with both one DOF rotation and one DOF translation.
- The micromirror array lens can be formed by a polar array of the micromirrors. For the polar array, each micromirror has a fan shape to increase an effective reflective area, so that the optical efficiency increases. The optical efficiency of the micromirror array lens can be improved by locating a mechanical structure upholding micromirrors and the actuating components under micromirrors to increase an effective reflective area. Electric circuits to operate the micromirrors can be replaced with known semiconductor microelectronics technologies such as MOS and CMOS. Applying the microelectronics circuits under micromirror array, the effective reflective area can be increased by removing necessary area for electrode pads and wires.
- The micromirrors are arranged to form one or more concentric circles to form the axisymmetric lens and the micromirrors on the same concentric circle can be controlled by the same electrodes with concentric circle shape or controlled by know semiconductor microelectronics technologies such as MOS or CMOS independently.
- It is desired that each of the micromirrors has a curvature because the ideal shape of a conventional reflective lens has a curvature. If the size of the flat micromirror is small enough, the aberration of the lens comprising flat micromirrors is also small enough. In this case, the micromirror does not need a curvature.
- The advantages of the present invention are: (1) the micromirror array lens has a very fast response time because each micromirror has a tiny mass; (2) the lens has a high optical focusing efficiency; (3) the lens can have a large size aperture without losing optical performance. Because the micromirror array lens consists of discrete micromirrors, the increase in the size of the lens does not cause the increase in aberration caused by shape error of a lens; (4) the lens is cost effective because of the advantages of its mass productivity; (6) the lens has simple structure and control.
- Although the present invention is briefly summarized, the full understanding of the invention can be obtained by the following drawings, detailed description, and appended claims.
- These and other features, aspects and advantages of the present invention will become better understood with references to the accompanying drawings, wherein
-
FIG. 1 is a schematic diagram showing the cut-away side view of a conventional micromirror array lens; -
FIG. 2 is a schematic diagram showing how the micromirror array lens comprising micromirrors with only one DOF rotation works as a lens; -
FIG. 3 is an in-plane schematic view showing a circular micromirror array lens comprising micromirrors with one DOF rotation and actuating components; -
FIG. 4 is a schematic diagram showing the cylindrical lens comprising rectangular shape micromirrors. -
FIG. 1 illustrates the principle of the conventionalmicromirror array lens 11. There are two conditions to make a perfect lens. The first is the converging condition that all lights scattered by one point of an object should converge into one point of the image plane. The second is the same phase condition that all converging light should have the same phase at the image plane. To satisfy the perfect lens conditions, the surface shape of conventionalreflective lens 12 is formed to have all lights scattered by one point of an objective to be converged into one point of the image plane and have the optical path length of all converging light to be same. - A micromirror array arranged in flat plane can satisfy two conditions to be a lens. Each of the
micromirrors 13 rotates to converge the scattered light. Because allmicromirrors 13 of the conventionalmicromirror array lens 11 are arranged in a flat plane as shown inFIG. 1 , the optical path length of lights converged by one DOF rotation of each micromirror is different. Even though the optical path length of converging light is different, the same phase condition can be satisfied with adjusting the phase because the phase of light is periodic. -
FIG. 2 illustrates how themicromirror array lens 21 comprising micromirrors with one DOF rotation images. Arbitrary scatteredlights micromirrors 24. The phases ofarbitrary lights -
FIG. 3 illustrates the in-plane view of a circularmicromirror array lens 31 comprising micromirrors with one DOF rotation. Themicromirror 32 has the same function as a mirror. Therefore, the reflective surface of the micromirror is made of metal, metal compound, multi-layered dielectric material, or other materials with high reflectivity. Many known microfabrication processes can make the surface with high reflectivity. Eachmicromirror 32 is electrostatically and/or electromagnetically controlled by theactuating components 33 as known. Because a circular lens is an axisymmetric, themicromirror array lens 31 has a polar array of themicromirrors 32. Each of themicromirrors 32 has a fan shape to increase an effective reflective area, which increases optical efficiency. All micromirrors are arranged in a flat plane because they are fabricated by known microfabrication processes. The micromirrors are arranged to form one or more concentric circles to form the axisymmetric lens and the micromirrors on the same concentric circle can be controlled by the same electrodes with concentric circle shape or controlled by known semiconductor microelectronics technologies such as MOS or CMOS independently. - It is desired that each of the
micromirrors 32 has a curvature because the ideal shape of a conventionalreflective lens 12 has a curvature. According to focal length change of the lens, the curvature of micromirror should be controlled. The curvature of the micromirror is controlled by electrothermal or electrostatic force. If the size of the flat micromirror is small enough, the aberration of the lens comprisingflat micromirrors 32 is also small enough. In this case, the micromirror does not need a curvature. - The mechanical structure upholding each
reflective micromirror 32 and theactuating components 33 are located under themicromirrors 32 to increase the effective reflective area. Also, electric circuits to operate the micromirrors can be replaced with known semiconductor microelectronics technologies such as MOS and CMOS. Applying the microelectronics circuits under micromirror array, the effective reflective area can be increased by removing necessary area for electrode pads and wires used to supply actuating power. -
FIG. 4 shows a variable focal lengthcylindrical lens 41 comprisingrectangular micromirrors 42. The rotational amount of the micromirror is represented by length ofarrow 43 and the rotational direction of the micromirror is represented by direction ofarrow 43. An array comprising square orrectangle micromirrors 42 is appropriate to a symmetric lens about one axis of in-plane such ascylindrical lens 41. The micromirrors with same rotation are controlled by the same electrode or controlled by know semiconductor microelectronics technologies such as MOS or CMOS independently. - While the invention has been shown and described with reference to different embodiments thereof, it will be appreciated by those skills in the art that variations in form, detail, compositions and operation may be made without departing from the spirit and scope of the invention as defined by the accompanying claims.
Claims (22)
Priority Applications (11)
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US10/855,554 US6970284B1 (en) | 2004-05-27 | 2004-05-27 | Variable focusing lens comprising micromirrors with one degree of freedom rotation |
US10/979,619 US7768571B2 (en) | 2004-03-22 | 2004-11-02 | Optical tracking system using variable focal length lens |
US10/979,624 US7261417B2 (en) | 2004-02-13 | 2004-11-02 | Three-dimensional integral imaging and display system using variable focal length lens |
US10/979,568 US7354167B2 (en) | 2004-05-27 | 2004-11-02 | Beam focusing and scanning system using micromirror array lens |
US10/979,612 US7173653B2 (en) | 2004-03-22 | 2004-11-02 | Imaging stabilizer using micromirror array lens |
US10/983,353 US7267447B2 (en) | 2004-05-27 | 2004-11-08 | Variable focal length lens comprising micromirrors |
TW094116989A TWI277764B (en) | 2004-05-27 | 2005-05-25 | Variable focal length lens comprising micromirrors with one degree of freedom rotation |
PCT/US2005/018530 WO2005119333A1 (en) | 2004-05-27 | 2005-05-27 | Variable focal length lens comprising micromirrors with one degree of freedom rotation |
US11/419,480 US8049776B2 (en) | 2004-04-12 | 2006-05-19 | Three-dimensional camcorder |
US11/423,333 US7350922B2 (en) | 2004-02-13 | 2006-06-09 | Three-dimensional display using variable focal length micromirror array lens |
US11/426,565 US7777959B2 (en) | 2004-05-27 | 2006-06-26 | Micromirror array lens with fixed focal length |
Applications Claiming Priority (1)
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US10/855,554 US6970284B1 (en) | 2004-05-27 | 2004-05-27 | Variable focusing lens comprising micromirrors with one degree of freedom rotation |
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US10/822,414 Continuation-In-Part US7068416B2 (en) | 2004-02-13 | 2004-04-12 | Three-dimensional imaging device |
US10/855,715 Continuation-In-Part US7031046B2 (en) | 2004-02-13 | 2004-05-27 | Variable focal length lens comprising micromirrors with two degrees of freedom rotation |
US10/855,287 Continuation-In-Part US6934072B1 (en) | 2004-02-13 | 2004-05-27 | Variable focal length lens comprising micromirrors with two degrees of freedom rotation and one degree of freedom translation |
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US10/822,414 Continuation-In-Part US7068416B2 (en) | 2004-02-13 | 2004-04-12 | Three-dimensional imaging device |
US10/855,715 Continuation-In-Part US7031046B2 (en) | 2004-02-13 | 2004-05-27 | Variable focal length lens comprising micromirrors with two degrees of freedom rotation |
US10/857,280 Continuation-In-Part US6999226B2 (en) | 2004-02-13 | 2004-05-28 | Variable focal length lens comprising micromirrors with one degree of freedom translation |
US10/979,568 Continuation-In-Part US7354167B2 (en) | 2004-05-27 | 2004-11-02 | Beam focusing and scanning system using micromirror array lens |
US10/979,619 Continuation-In-Part US7768571B2 (en) | 2004-03-22 | 2004-11-02 | Optical tracking system using variable focal length lens |
US10/979,612 Continuation-In-Part US7173653B2 (en) | 2004-03-22 | 2004-11-02 | Imaging stabilizer using micromirror array lens |
US10/979,624 Continuation-In-Part US7261417B2 (en) | 2004-02-13 | 2004-11-02 | Three-dimensional integral imaging and display system using variable focal length lens |
US10/983,353 Continuation-In-Part US7267447B2 (en) | 2004-02-13 | 2004-11-08 | Variable focal length lens comprising micromirrors |
US11/419,480 Continuation-In-Part US8049776B2 (en) | 2004-04-12 | 2006-05-19 | Three-dimensional camcorder |
US11/423,333 Continuation-In-Part US7350922B2 (en) | 2004-02-13 | 2006-06-09 | Three-dimensional display using variable focal length micromirror array lens |
US11/426,565 Continuation-In-Part US7777959B2 (en) | 2004-05-27 | 2006-06-26 | Micromirror array lens with fixed focal length |
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US6970284B1 US6970284B1 (en) | 2005-11-29 |
US20050275926A1 true US20050275926A1 (en) | 2005-12-15 |
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Also Published As
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WO2005119333A1 (en) | 2005-12-15 |
TW200602670A (en) | 2006-01-16 |
US6970284B1 (en) | 2005-11-29 |
TWI277764B (en) | 2007-04-01 |
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