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Proceedings Paper

Review of the Krylov algorithm for bare resonator eigenanalysis with examples
Author(s): W. Pete Latham; Michael L. Tilton; Martin E. Smithers
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Paper Abstract

The Krylov matrix method is a powerful numerical algorithm for efficiently and accurately calculating several of the lowest loss transverse bare cavity eigenmodes of unstable optical resonators. In current laser models, loaded cavity modes are calculated by accomplishing a functional expansion in bare cavity eigenmodes. By accomplishing the Krylov analysis, both the bare cavity design parameters and the eigenmode expansion set are calculated simultaneously. This provides a convenient resonator candidate screening process as an intermediate step in the full laser design process and is followed by a loaded cavity analysis when the bare cavity parameters are suitable. This paper reviews the Krylov procedure and discusses a convergence algorithm for it. Examples are presented to demonstrate the method.

Paper Details

Date Published: 1 June 1992
PDF: 38 pages
Proc. SPIE 1625, Design, Modeling, and Control of Laser Beam Optics, (1 June 1992); doi: 10.1117/12.58942
Show Author Affiliations
W. Pete Latham, Phillips Lab. (United States)
Michael L. Tilton, Rockwell Power Systems Co. (United States)
Martin E. Smithers, NASA/Marshall Space Flight Ctr. (United States)


Published in SPIE Proceedings Vol. 1625:
Design, Modeling, and Control of Laser Beam Optics
Youssef Kohanzadeh; George N. Lawrence; John G. McCoy; Hugo Weichel, Editor(s)

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