Ronald Driggers, Editor-in-Chief
Sheng Yuan and Jose Sasian
Sheng Yuan1,* and Jose Sasian1
1College of Optical Sciences, The University of Arizona, Tucson, Arizona 85721, USA
*Corresponding author: firstname.lastname@example.org
We apply a new method for optical aberration derivation to anamorphic systems made from toroidal surfaces and obtain a complete set of primary aberration coefficients. This set is written in a form similar to the well-known Seidel aberrations for rotationally symmetrical optical systems and includes first- order quantities only, thus it can be easily applied to anamorphic lens design practice. By tracing four nonskew paraxial marginal and chief rays, the 16 anamorphic primary aberration coefficients can be easily calculated.
© 2010 Optical Society of America
S. Yuan and J. Sasian, “Aberrations of anamorphic optical systems. I: the first-order foundation and method for deriving the anamorphic primary aberration coefficients,” Appl. Opt. 48, 2574–2584 (2009).
S. Yuan and J. Sasian, “Aberrations of anamorphic optical systems II: the primary aberration theory for cylindrical anamorphic systems,” Appl. Opt. 48, 2836–2841 (2009).
J. Gauvin, M. Doucet, M. Wang, S. Thibault, and B. Blanc, “Development of new family of wide-angle anamorphic lens with controlled distortion profile,” Proc. SPIE 5874, 1–12(2005).
J. M. Sasian, “Double-curvature surfaces in mirror system design,” Opt. Eng. 36, 183–188 (1997).
L. He and C. Chen, “The primary aberration coefficients of a torus,” Optik (Jena) 94, 167–172 (1993).
E. Delano, “Primary aberrations of a system of toroidal Fresnel surfaces,” J. Opt. Soc. Am. A 10, 1529–1534 (1993).
T. Kasuya, T. Suzuki, and K. Shimoda, “A prism anamorphic system for Gaussian beam expander,” J. Appl. Phys. 17, 131–136 (1978).
P. J. Sands, “Aberration coefficients of double-plane-symmetric systems,” J. Opt. Soc. Am. 63, 425–430 (1973).
R. Barakat and A. Houston, “The aberrations on non-rotationally symmetric systems and their diffraction effects,” Opt. Acta 13, 1–30 (1966).
J. C. Burfoot, “Third-order aberrations of doubly symmetric systems,” Proc. Phys. Soc. B 67, 523–528 (1954).
C. G. Wynne, “The primary aberrations of anamorphic lens systems,” Proc. Phys. Soc. B 67, 529–537 (1954).
H. A. Buchdahl, An Introduction to Hamiltonian Optics(Cambridge University, 1970), Chap. 8, pp. 199–202.
A. Cox, A System of Optical Design (Focal Press, 1964).
H. H. Hopkins, Wave Theory of Aberrations (Oxford University, 1950).
J. H. Jung and J. W. Lee, “Anamorphic lens for a CCD camera apparatus,” U.S. patent 5,671,093 (3 September 1997).
V. N. Mahajan, Optical Imaging and Aberrations: Part I. Ray Geometrical Optics (SPIE Press, 1998).
I. A. Neil, “Anamorphic imaging system,” U.S. patent 7,085,066 (1 August 2006).
R. R. Shannon, The Art and Science of Optical Design(Cambridge University, 1997).
G. G. Slyusarev, Aberration and Optical Design Theory(Hilger, 1984).
W. T. Welford, Aberrations of Optical System (Hilger, 1986), Chap. 11.
S Yuan, “Aberrations of anamorphic optical systems,” Ph.D. dissertation (The University of Arizona, 2008), free online accessible, http://gradworks.umi.com/33/31/3331455.html.
OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.
Alert me when this article is cited.
Click here to see a list of articles that cite this paper
Table 1 Primary Aberration Coefficients for Toroidal Anamorphic Systems
Equations on this page are rendered with MathJax. Learn more.