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Chinese Optics Letters

Chinese Optics Letters

| PUBLISHED MONTHLY BY CHINESE LASER PRESS AND DISTRIBUTED BY OSA

  • Editor: Zhizhan Xu
  • Vol. 10, Iss. 8 — Aug. 1, 2012
  • pp: 080801–

Ray transfer matrix perturbation for an optical component with aberration

Jerry T. Barretto, Clark Kendrick C. Go, and Stein Alec C. Baluyot  »View Author Affiliations


Chinese Optics Letters, Vol. 10, Issue 8, pp. 080801- (2012)


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Abstract

The perturbation theory of matrices is applied to ray transfer matrices (RTMs) to describe an optical component with aberration. A quantitative description of the perturbation extent corresponding to aberration strength is provided using condition numbers and absolute errors for the perturbed RTM. An application to a single small aberration is presented, and the results are compared with those of the diffraction theory of aberrations.

© 2012 Chinese Optics Letters

OCIS Codes
(080.0080) Geometric optics : Geometric optics
(080.2720) Geometric optics : Mathematical methods (general)
(080.2730) Geometric optics : Matrix methods in paraxial optics

Citation
Jerry T. Barretto, Clark Kendrick C. Go, and Stein Alec C. Baluyot, "Ray transfer matrix perturbation for an optical component with aberration," Chin. Opt. Lett. 10, 080801- (2012)
http://www.opticsinfobase.org/col/abstract.cfm?URI=col-10-8-080801


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References

  1. B. R. A. Nijboer, "The Diffraction Theory of Aberrations" PhD Thesis (University of Delft, 1942).
  2. M. Born and E. Wolf, Principles of Optics (Pergammon Press, New York, 1980).
  3. V. N. Mahajan, J. Opt. Soc. Am. A 17, 2216 (2000).
  4. A. Yariv, Quantum Electronics (John Wiley &; Sons Inc., New York, 1975).
  5. G. W. Stewart and J. Sun, Matrix Perturbation Theory (Academic Press, San Diego, 1990).
  6. A. E. Siegman, Lasers (University Science Books, Mill Valley, 1986).
  7. H. Kogelnik and T. Li, Appl. Opt. 5, 1550 (1966).
  8. L. N. Trefethen and M. Embree, Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators (Princeton University Press, New Jersey, 2004).
  9. H. Ren and S. T. Wu, Opt. Express 15, 5931 (2007).
  10. C. Swartz, Elementary Functional Analysis (World Scientific, Singapore, 2009).

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