Overview of the SMS design method applied to imaging optics

The Simultaneous Multiple Surfaces (SMS) was developed as a design method in Nonimaging Optics during the 90s. Later, the method was extended for designing Imaging Optics. We present an overview of the method applied to imaging optics in planar (2D) geometry and compare the results with more classical designs based on achieving aplanatism of different orders. These classical designs are also viewed as particular cases of SMS designs. Systems with up to 4 aspheric surfaces are shown. The SMS design strategy is shown to perform always better than the classical design (in terms of image quality). Moreover, the SMS method is a direct method, i.e., it is not based in multi-parametric optimization techniques. This gives the SMS method an additional interest since it can be used for exploring solutions where the multiparameter techniques can get lost because of the multiple local minima.

[1]  Juan Carlos Minano,et al.  Ultrahigh-numerical-aperture imaging concentrator , 1997 .

[2]  Wang Lin,et al.  An application of the SMS method for imaging designs. , 2009, Optics express.

[3]  D. Lynden-Bell,et al.  Exact optics: a unification of optical telescope design , 2002, physics/0203082.

[4]  Julio Chaves,et al.  Introduction to Nonimaging Optics , 2008 .

[5]  A. E. Conrady,et al.  Applied optics and optical design , 1957 .

[6]  G. Forbes,et al.  Shape specification for axially symmetric optical surfaces. , 2007, Optics express.

[7]  Fernando Muñoz Fernández.  Sistemas ópticos avanzados de gran compactibilidad con aplicaciones en formación de imagen y en iluminación , 2004 .

[8]  Julio Chaves,et al.  SMS design method in 3D geometry: examples and applications , 2004, SPIE Optics + Photonics.

[9]  G. Schulz.  Higher order aplanatism , 1982 .

[10]  Juan C. Miñano,et al.  New method of design of nonimaging concentrators. , 1992, Applied optics.

[11]  P. Benítez,et al.  A high-gain, compact, nonimaging concentrator: RXI. , 1995, Applied optics.

[12]  Aberration and Optical Design Theory , 1985 .

[13]  Rudolf Kingslake,et al.  Lens Design Fundamentals , 1978 .

[14]  G. Schulz,et al.  IV Aspheric Surfaces , 1988 .

[15]  Robert F Fischer,et al.  Optical System Design , 2000 .

[16]  임천석.  Modern Optical Engineering: 3rd ed. (저자 : Warren J. Smith) , 2007 .

[17]  P. Benítez,et al.  RX: a nonimaging concentrator. , 1995, Applied optics.

[18]  John C. Bortz,et al.  Optimized image-forming cemented-doublet concentrator , 2005, SPIE Optics + Photonics.

[19]  R. V. Willstrop,et al.  Exact optics - II. Exploration of designs on- and off-axis , 2003 .