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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. 11, Iss. 1 — Jan. 1, 1994
  • pp: 227–235

Spatially partially coherent Fabry–Perot modes

Ari T. Friberg and Jari Turunen  »View Author Affiliations


JOSA A, Vol. 11, Issue 1, pp. 227-235 (1994)
http://dx.doi.org/10.1364/JOSAA.11.000227


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Abstract

The recently developed coherence theory of stable laser resonators is applied to an ideal plane-parallel Fabry–Perot resonator. We make use of an explicit, integral-type, biorthogonal expansion of the exact, non-Hermitian, scalar propagation kernel. The resonator admits various spatially partially coherent modes because of the degeneracy of the conventional transverse modes. The spatial second-order modes of the Fabry–Perot resonator containing only homogeneous plane waves correspond to an eigenvalue of unity, and several types of such partially coherent modes are identified. These include the diagonal superpositions of the coherent Fox–Li modes and the general expressions for the cross-spectral densities associated with the propagation-invariant modes and the self-imaging modes. Some special cases are analyzed as illustrations.

© 1994 Optical Society of America

History
Original Manuscript: January 4, 1993
Manuscript Accepted: April 19, 1993
Published: January 1, 1994

Citation
Ari T. Friberg and Jari Turunen, "Spatially partially coherent Fabry–Perot modes," J. Opt. Soc. Am. A 11, 227-235 (1994)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-11-1-227

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