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

PDF Article

References

  • View by:
  • |
  • |
  • |

  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).

2007 (1)

2000 (1)

1966 (1)

Appl. Opt. (1)

J. Opt. Soc. Am. A (1)

Opt. Express (1)

Other (7)

A. Yariv, Quantum Electronics (John Wiley &; Sons Inc., New York, 1975).

G. W. Stewart and J. Sun, Matrix Perturbation Theory (Academic Press, San Diego, 1990).

A. E. Siegman, Lasers (University Science Books, Mill Valley, 1986).

B. R. A. Nijboer, "The Diffraction Theory of Aberrations" PhD Thesis (University of Delft, 1942).

M. Born and E. Wolf, Principles of Optics (Pergammon Press, New York, 1980).

L. N. Trefethen and M. Embree, Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators (Princeton University Press, New Jersey, 2004).

C. Swartz, Elementary Functional Analysis (World Scientific, Singapore, 2009).

Cited By

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.