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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 9 — Apr. 26, 2010
  • pp: 9580–9591

Calculating the fine structure of a Fabry-Perot resonator using spheroidal wave functions

M. Zeppenfeld and P.W.H. Pinkse  »View Author Affiliations

Optics Express, Vol. 18, Issue 9, pp. 9580-9591 (2010)

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A new set of vector solutions to Maxwell’s equations based on solutions to the wave equation in spheroidal coordinates allows laser beams to be described beyond the paraxial approximation. Using these solutions allows us to calculate the complete first-order corrections in the short-wavelength limit to eigenmodes and eigenfrequencies in a Fabry-Perot resonator with perfectly conducting mirrors. Experimentally relevant effects are predicted. Modes which are degenerate according to the paraxial approximation are split according to their total angular momentum. This includes a splitting due to coupling between orbital angular momentum and spin angular momentum.

© 2010 Optical Society of America

OCIS Codes
(220.2560) Optical design and fabrication : Propagating methods
(230.5750) Optical devices : Resonators
(260.2110) Physical optics : Electromagnetic optics

ToC Category:
Physical Optics

Original Manuscript: December 16, 2009
Revised Manuscript: February 25, 2010
Manuscript Accepted: March 8, 2010
Published: April 23, 2010

M. Zeppenfeld and P. W. H. Pinkse, "Calculating the fine structure of a Fabry-Perot resonator using spheroidal wave functions," Opt. Express 18, 9580-9591 (2010)

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