Review of the Krylov algorithm for bare resonator eigenanalysis with examples

W. Pete Latham; Michael L. Tilton; Martin E. Smithers

doi:10.1117/12.58942

1 June 1992 Review of the Krylov algorithm for bare resonator eigenanalysis with examples

W. Pete Latham, Michael L. Tilton, Martin E. Smithers

Proceedings Volume 1625, Design, Modeling, and Control of Laser Beam Optics; (1992) https://doi.org/10.1117/12.58942
Event: OE/LASE '92, 1992, Los Angeles, CA, United States

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.

Citation Download Citation

W. Pete Latham, Michael L. Tilton, and Martin E. Smithers "Review of the Krylov algorithm for bare resonator eigenanalysis with examples", Proc. SPIE 1625, Design, Modeling, and Control of Laser Beam Optics, (1 June 1992); https://doi.org/10.1117/12.58942

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