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Applied Optics

Applied Optics


  • Vol. 10, Iss. 11 — Nov. 1, 1971
  • pp: 2499–2505

Jones’s Matrix Representation of Optical Instruments. I: Beam Splitters

A. L. Fymat  »View Author Affiliations

Applied Optics, Vol. 10, Issue 11, pp. 2499-2505 (1971)

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A general method is provided for constructing Jones’s reflection and transmission matrices of any beam splitter. Derivations are presented for the various known configurations. The method uses Abelès’s matrices and pays special consideration to the different expressions of Jones’s matrices relative to the various beams in an interferometric arrangement. The reversibility of the beam splitter in its action on the amplitude or phase, or both, of an incident light is studied. It is finally suggested that, even for an asymmetric beam splitter configuration, the symmetry of the interferogram can still be preserved by adjusting the thickness of the beam splitter in a prescribed manner.

© 1971 Optical Society of America

Original Manuscript: January 28, 1971
Published: November 1, 1971

A. L. Fymat, "Jones’s Matrix Representation of Optical Instruments. I: Beam Splitters," Appl. Opt. 10, 2499-2505 (1971)

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  1. W. A. Shurcliff, Polarized Light (Harvard U. P., Cambridge, 1962), Chap. 8, and Appendix 2.
  2. P. Connes, in Annual Review of Astronomy and Astrophysics, L. Goldberg, D. Layzer, J. S. Phillips, Eds. (Annual Reviews, Inc., Palo Alto, 1970), Vol. 8, p. 209. [CrossRef]
  3. A. L. Fymat, K. D. Abhyankar, Appl. Opt. 9, 1075 (1970); NASA Technical Brief 70-10405, November1970; Proc. Aspen Int. Conf. on Fourier Spectroscopy, 1970, AFCRL 71-0019, Special Report 114, G. A. Vanasse, A. T. Stair, D. J. Baker, Eds. (1971), p. 377. [CrossRef] [PubMed]
  4. Complementary interferograms can also be obtained with the other configurations when using an angle of incidence on the beam splitter larger than 45°. A requirement is always, however, that the separation and the recombination points be different.
  5. F. Abelès, Ann. Phys. (Paris) 5, 596, 706 (1950).
  6. D. Gabor, J. Inst. Elec. Eng. (London) 93, 429 (1946).
  7. M. Born, E. Wolf, Principles of Optics (Pergamon, London, 1959), Chap. 1.

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