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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • 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)

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We generalize the transfer matrix ABCD 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 ABCD theorem to evaluate the diffraction integral matrix elements AD expressed in terms of the angle eikonal T, 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

Original Manuscript: February 14, 2004
Revised Manuscript: June 2, 2004
Manuscript Accepted: June 2, 2004
Published: November 1, 2004

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)

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