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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 21, Iss. 11 — Nov. 1, 2004
  • pp: 2154–2163

Generalized optical ABCD theorem and its application to the diffraction integral calculation

Chaoying Zhao, Weihan Tan, and Qizhi Guo  »View Author Affiliations


JOSA A, Vol. 21, Issue 11, pp. 2154-2163 (2004)
http://dx.doi.org/10.1364/JOSAA.21.002154


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Abstract

We generalize the transfer matrix <i>ABCD</i> theorem for paraxial rays of the optical system to skew rays propagated off axis, whether or not the system possesses rotational symmetry. Furthermore, we apply the generalized <i>ABCD</i> theorem to evaluate the diffraction integral matrix elements <i>A</i>–<i>D</i> expressed in terms of the angle eikonal <i>T</i>, with the primary aberrations included. Finally, analysis and numerical calculation are given for propagation of a light beam through the optical system in the case in which spherical aberration and coma are present.

© 2004 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(050.1960) Diffraction and gratings : Diffraction theory
(080.1010) Geometric optics : Aberrations (global)
(080.2730) Geometric optics : Matrix methods in paraxial optics
(260.0260) Physical optics : Physical optics

Citation
Chaoying Zhao, Weihan Tan, and Qizhi Guo, "Generalized optical ABCD theorem and its application to the diffraction integral calculation," J. Opt. Soc. Am. A 21, 2154-2163 (2004)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-11-2154

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