Z. F. Zhuang and F. H. Yu, “A contour calculation method for rapid freeform reflector construction with ellipsoid patches,” Opt. Laser Technol. 56, 430–435 (2014).

J. W. Pan and H. H. Wang, “High contrast ratio prism design in a mini projector,” Appl. Opt. 52, 8347–8354 (2013).

[Crossref]

J. Hou, H. F. Li, R. M. Wu, P. Liu, Z. R. Zheng, and X. Liu, “Method to design two aspheric surfaces for imaging system,” Appl. Opt. 52, 2294–2299 (2013).

[Crossref]

J. Hou, H. F. Li, Z. R. Zheng, and X. Liu, “Distortion correction for imaging on non-planar surface using freeform lens,” Opt. Commun. 285, 986–991 (2012).

[Crossref]

F. Duerr, P. Benítez, J. C. Miñano, Y. Meuret, and H. Thienpont, “Analytic design method for optimal imaging: coupling three ray sets using two free-form lens profiles,” Opt. Express 20, 5576–5585 (2012).

[Crossref]

Z. R. Zheng, “Design of off-axis reflective projection lens using spherical Fresnel surface,” Optik 122, 145–149 (2011).

[Crossref]

D. Michaelis, P. Schreiber, and A. Bräuer, “Cartesian oval representation of freeform optics in illumination systems,” Opt. Lett. 36, 918–920 (2011).

[Crossref]

D. Michaelis, P. Schreiber, C. Li, and A. Bräuer, “Construction of freeforms in illumination systems via generalized Cartesian oval representation,” Proc. SPIE 8124, 812403 (2011).

[Crossref]

J. W. Pan and S. H. Lin, “Achromatic design in the illumination system for a mini projector with LED light source,” Opt. Express 19, 15750–15759 (2011).

[Crossref]

J. C. Miñano, P. Benítez, L. Wang, F. Muñoz, J. Infante, and A. Santamaría, “Overview of the SMS design method applied to imaging optics,” Proc. SPIE 7429, 74290C (2009).

[Crossref]

J. C. Miñano, P. Benítez, L. Wang, J. Infante, F. Muñoz, and A. Santamaría, “An application of the SMS method for imaging designs,” Opt. Express 17, 24036–24044 (2009).

[Crossref]

F. Muñoz, P. Benítez, and J. C. Miñano, “High-order aspherics: the SMS nonimaging design method applied to imaging optics,” Proc. SPIE 7100, 71000K (2008).

[Crossref]

J. W. Pan, S. H. Tu, C. M. Wang, and J. Y. Chang, “High efficiency pocket-size projector with a compact projection lens and a light emitting diode-based light source system,” Appl. Opt. 47, 3406–3414 (2008).

[Crossref]

Z. R. Zheng, X. T. Sun, X. Liu, and P. F. Gu, “Design of reflective projection lens with Zernike polynomials surfaces,” Displays 29, 412–417 (2008).

[Crossref]

V. I. Oliker, “Freeform optical systems with prescribed irradiance properties in near field,” Proc. SPIE 6342, 634211 (2006).

[Crossref]

J. Ogawa, K. Agata, and M. Sakamoto, “Super-short focus front projector with aspheric mirror projection optical system,” SID J. 13, 111–116 (2005).

P. Benítez, J. C. Miñano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernández, J. L. Alvarez, and W. Falicoff, “SMS design method in 3D geometry: examples and applications,” Proc. SPIE 5185, 18–29 (2004).

F. Muñoz, P. Benítez, O. Dross, J. C. Miñano, and B. Paikyn, “Simultaneous multiple surface design of compact air-gap collimators for light-emitting diodes,” Opt. Eng. 43, 1522–1530 (2004).

[Crossref]

J. Ogawa, K. Agata, and M. Sakamoto, “Super-short focus front projector with aspheric mirror projection optical system,” SID J. 13, 111–116 (2005).

P. Benítez, J. C. Miñano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernández, J. L. Alvarez, and W. Falicoff, “SMS design method in 3D geometry: examples and applications,” Proc. SPIE 5185, 18–29 (2004).

R. A. Hicks and R. Bajcsy, “Catadioptric sensors that approximate wide angle perspective projections,” in Proceedings of IEEE Conference on Computer Vision and Pattern Recognition (IEEE, 2000), Vol. 1, pp. 545–551.

F. Duerr, P. Benítez, J. C. Miñano, Y. Meuret, and H. Thienpont, “Analytic design method for optimal imaging: coupling three ray sets using two free-form lens profiles,” Opt. Express 20, 5576–5585 (2012).

[Crossref]

J. C. Miñano, P. Benítez, L. Wang, J. Infante, F. Muñoz, and A. Santamaría, “An application of the SMS method for imaging designs,” Opt. Express 17, 24036–24044 (2009).

[Crossref]

J. C. Miñano, P. Benítez, L. Wang, F. Muñoz, J. Infante, and A. Santamaría, “Overview of the SMS design method applied to imaging optics,” Proc. SPIE 7429, 74290C (2009).

[Crossref]

F. Muñoz, P. Benítez, and J. C. Miñano, “High-order aspherics: the SMS nonimaging design method applied to imaging optics,” Proc. SPIE 7100, 71000K (2008).

[Crossref]

F. Muñoz, P. Benítez, O. Dross, J. C. Miñano, and B. Paikyn, “Simultaneous multiple surface design of compact air-gap collimators for light-emitting diodes,” Opt. Eng. 43, 1522–1530 (2004).

[Crossref]

P. Benítez, J. C. Miñano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernández, J. L. Alvarez, and W. Falicoff, “SMS design method in 3D geometry: examples and applications,” Proc. SPIE 5185, 18–29 (2004).

P. Benítez, J. C. Miñano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernández, J. L. Alvarez, and W. Falicoff, “SMS design method in 3D geometry: examples and applications,” Proc. SPIE 5185, 18–29 (2004).

D. Michaelis, P. Schreiber, and A. Bräuer, “Cartesian oval representation of freeform optics in illumination systems,” Opt. Lett. 36, 918–920 (2011).

[Crossref]

D. Michaelis, P. Schreiber, C. Li, and A. Bräuer, “Construction of freeforms in illumination systems via generalized Cartesian oval representation,” Proc. SPIE 8124, 812403 (2011).

[Crossref]

P. Benítez, J. C. Miñano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernández, J. L. Alvarez, and W. Falicoff, “SMS design method in 3D geometry: examples and applications,” Proc. SPIE 5185, 18–29 (2004).

Y. Chen, “Thermal forming process for precision freeform optical mirrors and micro glass optics,” Ph.D. dissertation (The Ohio State University, 2010).

P. Benítez, J. C. Miñano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernández, J. L. Alvarez, and W. Falicoff, “SMS design method in 3D geometry: examples and applications,” Proc. SPIE 5185, 18–29 (2004).

F. Muñoz, P. Benítez, O. Dross, J. C. Miñano, and B. Paikyn, “Simultaneous multiple surface design of compact air-gap collimators for light-emitting diodes,” Opt. Eng. 43, 1522–1530 (2004).

[Crossref]

P. Benítez, J. C. Miñano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernández, J. L. Alvarez, and W. Falicoff, “SMS design method in 3D geometry: examples and applications,” Proc. SPIE 5185, 18–29 (2004).

J. H. Mathews and K. D. Fink, “Numerical optimization,” in Numerical Methods Using MATLAB, 4th ed. (Prentice Hall, 2004), pp. 376–388.

Z. R. Zheng, X. T. Sun, X. Liu, and P. F. Gu, “Design of reflective projection lens with Zernike polynomials surfaces,” Displays 29, 412–417 (2008).

[Crossref]

P. Benítez, J. C. Miñano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernández, J. L. Alvarez, and W. Falicoff, “SMS design method in 3D geometry: examples and applications,” Proc. SPIE 5185, 18–29 (2004).

R. A. Hicks and R. Bajcsy, “Catadioptric sensors that approximate wide angle perspective projections,” in Proceedings of IEEE Conference on Computer Vision and Pattern Recognition (IEEE, 2000), Vol. 1, pp. 545–551.

K. Hirata, M. Yatsu, T. Hisada, and M. Ohki, “Projection display system including lens group and reflecting mirror,” U.S. patent8,313,199 B2 (20November, 2012).

K. Hirata, M. Yatsu, T. Hisada, and M. Ohki, “Projection display system including lens group and reflecting mirror,” U.S. patent8,313,199 B2 (20November, 2012).

J. Hou, H. F. Li, R. M. Wu, P. Liu, Z. R. Zheng, and X. Liu, “Method to design two aspheric surfaces for imaging system,” Appl. Opt. 52, 2294–2299 (2013).

[Crossref]

J. Hou, H. F. Li, Z. R. Zheng, and X. Liu, “Distortion correction for imaging on non-planar surface using freeform lens,” Opt. Commun. 285, 986–991 (2012).

[Crossref]

J. C. Miñano, P. Benítez, L. Wang, J. Infante, F. Muñoz, and A. Santamaría, “An application of the SMS method for imaging designs,” Opt. Express 17, 24036–24044 (2009).

[Crossref]

J. C. Miñano, P. Benítez, L. Wang, F. Muñoz, J. Infante, and A. Santamaría, “Overview of the SMS design method applied to imaging optics,” Proc. SPIE 7429, 74290C (2009).

[Crossref]

D. Michaelis, P. Schreiber, C. Li, and A. Bräuer, “Construction of freeforms in illumination systems via generalized Cartesian oval representation,” Proc. SPIE 8124, 812403 (2011).

[Crossref]

J. Hou, H. F. Li, R. M. Wu, P. Liu, Z. R. Zheng, and X. Liu, “Method to design two aspheric surfaces for imaging system,” Appl. Opt. 52, 2294–2299 (2013).

[Crossref]

J. Hou, H. F. Li, Z. R. Zheng, and X. Liu, “Distortion correction for imaging on non-planar surface using freeform lens,” Opt. Commun. 285, 986–991 (2012).

[Crossref]

J. Hou, H. F. Li, R. M. Wu, P. Liu, Z. R. Zheng, and X. Liu, “Method to design two aspheric surfaces for imaging system,” Appl. Opt. 52, 2294–2299 (2013).

[Crossref]

J. Hou, H. F. Li, Z. R. Zheng, and X. Liu, “Distortion correction for imaging on non-planar surface using freeform lens,” Opt. Commun. 285, 986–991 (2012).

[Crossref]

Z. R. Zheng, X. T. Sun, X. Liu, and P. F. Gu, “Design of reflective projection lens with Zernike polynomials surfaces,” Displays 29, 412–417 (2008).

[Crossref]

K. C. Lu, “Wide angle projection and application,” China patent102967923 A (13March, 2013).

J. H. Mathews and K. D. Fink, “Numerical optimization,” in Numerical Methods Using MATLAB, 4th ed. (Prentice Hall, 2004), pp. 376–388.

D. Michaelis, P. Schreiber, C. Li, and A. Bräuer, “Construction of freeforms in illumination systems via generalized Cartesian oval representation,” Proc. SPIE 8124, 812403 (2011).

[Crossref]

D. Michaelis, P. Schreiber, and A. Bräuer, “Cartesian oval representation of freeform optics in illumination systems,” Opt. Lett. 36, 918–920 (2011).

[Crossref]

F. Duerr, P. Benítez, J. C. Miñano, Y. Meuret, and H. Thienpont, “Analytic design method for optimal imaging: coupling three ray sets using two free-form lens profiles,” Opt. Express 20, 5576–5585 (2012).

[Crossref]

J. C. Miñano, P. Benítez, L. Wang, J. Infante, F. Muñoz, and A. Santamaría, “An application of the SMS method for imaging designs,” Opt. Express 17, 24036–24044 (2009).

[Crossref]

J. C. Miñano, P. Benítez, L. Wang, F. Muñoz, J. Infante, and A. Santamaría, “Overview of the SMS design method applied to imaging optics,” Proc. SPIE 7429, 74290C (2009).

[Crossref]

F. Muñoz, P. Benítez, and J. C. Miñano, “High-order aspherics: the SMS nonimaging design method applied to imaging optics,” Proc. SPIE 7100, 71000K (2008).

[Crossref]

P. Benítez, J. C. Miñano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernández, J. L. Alvarez, and W. Falicoff, “SMS design method in 3D geometry: examples and applications,” Proc. SPIE 5185, 18–29 (2004).

F. Muñoz, P. Benítez, O. Dross, J. C. Miñano, and B. Paikyn, “Simultaneous multiple surface design of compact air-gap collimators for light-emitting diodes,” Opt. Eng. 43, 1522–1530 (2004).

[Crossref]

P. Benítez, J. C. Miñano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernández, J. L. Alvarez, and W. Falicoff, “SMS design method in 3D geometry: examples and applications,” Proc. SPIE 5185, 18–29 (2004).

J. C. Miñano, P. Benítez, L. Wang, F. Muñoz, J. Infante, and A. Santamaría, “Overview of the SMS design method applied to imaging optics,” Proc. SPIE 7429, 74290C (2009).

[Crossref]

J. C. Miñano, P. Benítez, L. Wang, J. Infante, F. Muñoz, and A. Santamaría, “An application of the SMS method for imaging designs,” Opt. Express 17, 24036–24044 (2009).

[Crossref]

F. Muñoz, P. Benítez, and J. C. Miñano, “High-order aspherics: the SMS nonimaging design method applied to imaging optics,” Proc. SPIE 7100, 71000K (2008).

[Crossref]

F. Muñoz, P. Benítez, O. Dross, J. C. Miñano, and B. Paikyn, “Simultaneous multiple surface design of compact air-gap collimators for light-emitting diodes,” Opt. Eng. 43, 1522–1530 (2004).

[Crossref]

J. Ogawa, K. Agata, and M. Sakamoto, “Super-short focus front projector with aspheric mirror projection optical system,” SID J. 13, 111–116 (2005).

J. Ogawa, “Reflection type image forming optical system and projector,” U.S. patent6,612,704 B2 (2September, 2003).

K. Hirata, M. Yatsu, T. Hisada, and M. Ohki, “Projection display system including lens group and reflecting mirror,” U.S. patent8,313,199 B2 (20November, 2012).

V. I. Oliker, “Freeform optical systems with prescribed irradiance properties in near field,” Proc. SPIE 6342, 634211 (2006).

[Crossref]

V. I. Oliker, “Mathematical aspects of design of beam shaping surfaces in geometrical optics,” in Trends in Nonlinear Analysis (Springer, 2002), pp. 191–222.

F. Muñoz, P. Benítez, O. Dross, J. C. Miñano, and B. Paikyn, “Simultaneous multiple surface design of compact air-gap collimators for light-emitting diodes,” Opt. Eng. 43, 1522–1530 (2004).

[Crossref]

J. W. Pan and H. H. Wang, “High contrast ratio prism design in a mini projector,” Appl. Opt. 52, 8347–8354 (2013).

[Crossref]

J. W. Pan and S. H. Lin, “Achromatic design in the illumination system for a mini projector with LED light source,” Opt. Express 19, 15750–15759 (2011).

[Crossref]

J. W. Pan, S. H. Tu, C. M. Wang, and J. Y. Chang, “High efficiency pocket-size projector with a compact projection lens and a light emitting diode-based light source system,” Appl. Opt. 47, 3406–3414 (2008).

[Crossref]

J. Ogawa, K. Agata, and M. Sakamoto, “Super-short focus front projector with aspheric mirror projection optical system,” SID J. 13, 111–116 (2005).

J. C. Miñano, P. Benítez, L. Wang, J. Infante, F. Muñoz, and A. Santamaría, “An application of the SMS method for imaging designs,” Opt. Express 17, 24036–24044 (2009).

[Crossref]

J. C. Miñano, P. Benítez, L. Wang, F. Muñoz, J. Infante, and A. Santamaría, “Overview of the SMS design method applied to imaging optics,” Proc. SPIE 7429, 74290C (2009).

[Crossref]

D. Michaelis, P. Schreiber, and A. Bräuer, “Cartesian oval representation of freeform optics in illumination systems,” Opt. Lett. 36, 918–920 (2011).

[Crossref]

D. Michaelis, P. Schreiber, C. Li, and A. Bräuer, “Construction of freeforms in illumination systems via generalized Cartesian oval representation,” Proc. SPIE 8124, 812403 (2011).

[Crossref]

Z. R. Zheng, X. T. Sun, X. Liu, and P. F. Gu, “Design of reflective projection lens with Zernike polynomials surfaces,” Displays 29, 412–417 (2008).

[Crossref]

J. C. Miñano, P. Benítez, L. Wang, F. Muñoz, J. Infante, and A. Santamaría, “Overview of the SMS design method applied to imaging optics,” Proc. SPIE 7429, 74290C (2009).

[Crossref]

J. C. Miñano, P. Benítez, L. Wang, J. Infante, F. Muñoz, and A. Santamaría, “An application of the SMS method for imaging designs,” Opt. Express 17, 24036–24044 (2009).

[Crossref]

K. Hirata, M. Yatsu, T. Hisada, and M. Ohki, “Projection display system including lens group and reflecting mirror,” U.S. patent8,313,199 B2 (20November, 2012).

Z. F. Zhuang and F. H. Yu, “A contour calculation method for rapid freeform reflector construction with ellipsoid patches,” Opt. Laser Technol. 56, 430–435 (2014).

J. Hou, H. F. Li, R. M. Wu, P. Liu, Z. R. Zheng, and X. Liu, “Method to design two aspheric surfaces for imaging system,” Appl. Opt. 52, 2294–2299 (2013).

[Crossref]

J. Hou, H. F. Li, Z. R. Zheng, and X. Liu, “Distortion correction for imaging on non-planar surface using freeform lens,” Opt. Commun. 285, 986–991 (2012).

[Crossref]

Z. R. Zheng, “Design of off-axis reflective projection lens using spherical Fresnel surface,” Optik 122, 145–149 (2011).

[Crossref]

Z. R. Zheng, X. T. Sun, X. Liu, and P. F. Gu, “Design of reflective projection lens with Zernike polynomials surfaces,” Displays 29, 412–417 (2008).

[Crossref]

Z. F. Zhuang and F. H. Yu, “A contour calculation method for rapid freeform reflector construction with ellipsoid patches,” Opt. Laser Technol. 56, 430–435 (2014).

J. W. Pan and H. H. Wang, “High contrast ratio prism design in a mini projector,” Appl. Opt. 52, 8347–8354 (2013).

[Crossref]

J. W. Pan, S. H. Tu, C. M. Wang, and J. Y. Chang, “High efficiency pocket-size projector with a compact projection lens and a light emitting diode-based light source system,” Appl. Opt. 47, 3406–3414 (2008).

[Crossref]

J. Hou, H. F. Li, R. M. Wu, P. Liu, Z. R. Zheng, and X. Liu, “Method to design two aspheric surfaces for imaging system,” Appl. Opt. 52, 2294–2299 (2013).

[Crossref]

Z. R. Zheng, X. T. Sun, X. Liu, and P. F. Gu, “Design of reflective projection lens with Zernike polynomials surfaces,” Displays 29, 412–417 (2008).

[Crossref]

J. Hou, H. F. Li, Z. R. Zheng, and X. Liu, “Distortion correction for imaging on non-planar surface using freeform lens,” Opt. Commun. 285, 986–991 (2012).

[Crossref]

F. Muñoz, P. Benítez, O. Dross, J. C. Miñano, and B. Paikyn, “Simultaneous multiple surface design of compact air-gap collimators for light-emitting diodes,” Opt. Eng. 43, 1522–1530 (2004).

[Crossref]

J. C. Miñano, P. Benítez, L. Wang, J. Infante, F. Muñoz, and A. Santamaría, “An application of the SMS method for imaging designs,” Opt. Express 17, 24036–24044 (2009).

[Crossref]

F. Duerr, P. Benítez, J. C. Miñano, Y. Meuret, and H. Thienpont, “Analytic design method for optimal imaging: coupling three ray sets using two free-form lens profiles,” Opt. Express 20, 5576–5585 (2012).

[Crossref]

J. W. Pan and S. H. Lin, “Achromatic design in the illumination system for a mini projector with LED light source,” Opt. Express 19, 15750–15759 (2011).

[Crossref]

Z. F. Zhuang and F. H. Yu, “A contour calculation method for rapid freeform reflector construction with ellipsoid patches,” Opt. Laser Technol. 56, 430–435 (2014).

Z. R. Zheng, “Design of off-axis reflective projection lens using spherical Fresnel surface,” Optik 122, 145–149 (2011).

[Crossref]

V. I. Oliker, “Freeform optical systems with prescribed irradiance properties in near field,” Proc. SPIE 6342, 634211 (2006).

[Crossref]

D. Michaelis, P. Schreiber, C. Li, and A. Bräuer, “Construction of freeforms in illumination systems via generalized Cartesian oval representation,” Proc. SPIE 8124, 812403 (2011).

[Crossref]

P. Benítez, J. C. Miñano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernández, J. L. Alvarez, and W. Falicoff, “SMS design method in 3D geometry: examples and applications,” Proc. SPIE 5185, 18–29 (2004).

F. Muñoz, P. Benítez, and J. C. Miñano, “High-order aspherics: the SMS nonimaging design method applied to imaging optics,” Proc. SPIE 7100, 71000K (2008).

[Crossref]

J. C. Miñano, P. Benítez, L. Wang, F. Muñoz, J. Infante, and A. Santamaría, “Overview of the SMS design method applied to imaging optics,” Proc. SPIE 7429, 74290C (2009).

[Crossref]

J. Ogawa, K. Agata, and M. Sakamoto, “Super-short focus front projector with aspheric mirror projection optical system,” SID J. 13, 111–116 (2005).

R. A. Hicks and R. Bajcsy, “Catadioptric sensors that approximate wide angle perspective projections,” in Proceedings of IEEE Conference on Computer Vision and Pattern Recognition (IEEE, 2000), Vol. 1, pp. 545–551.

J. Ogawa, “Reflection type image forming optical system and projector,” U.S. patent6,612,704 B2 (2September, 2003).

K. Hirata, M. Yatsu, T. Hisada, and M. Ohki, “Projection display system including lens group and reflecting mirror,” U.S. patent8,313,199 B2 (20November, 2012).

K. C. Lu, “Wide angle projection and application,” China patent102967923 A (13March, 2013).

Y. Chen, “Thermal forming process for precision freeform optical mirrors and micro glass optics,” Ph.D. dissertation (The Ohio State University, 2010).

V. I. Oliker, “Mathematical aspects of design of beam shaping surfaces in geometrical optics,” in Trends in Nonlinear Analysis (Springer, 2002), pp. 191–222.

J. H. Mathews and K. D. Fink, “Numerical optimization,” in Numerical Methods Using MATLAB, 4th ed. (Prentice Hall, 2004), pp. 376–388.