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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 21, Iss. 19 — Oct. 1, 1996
  • pp: 1523–1525

Exact and approximate solutions of Maxwell’s equations for a confocal cavity

P. Varga and P. Török  »View Author Affiliations


Optics Letters, Vol. 21, Issue 19, pp. 1523-1525 (1996)
http://dx.doi.org/10.1364/OL.21.001523


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Abstract

The scalar Gaussian wave, which is the usual solution of the eigenfunction problem for an open laser resonator, does not satisfy Maxwell’s equations. We obtain the exact solution by means of the Hertz vector instead of the more usual electric field. The exact solution (that satisfies Maxwell’s equations) is paraxially approximated, and the approximation fails to satisfy Maxwell’s equations. It is shown that for the Gaussian wave the electric and the magnetic vectors are not interchangeable in coordinates, which is a consequence of the inhomogeneous boundary condition.

© 1996 Optical Society of America

History
Original Manuscript: March 26, 1996
Published: October 1, 1996

Citation
P. Varga and P. Török, "Exact and approximate solutions of Maxwell’s equations for a confocal cavity," Opt. Lett. 21, 1523-1525 (1996)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-21-19-1523

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