Review of the Krylov algorithm for bare resonator eigenanalysis with examples

Autor:	Martin E. Smithers, Michael L. Tilton, W. Pete Latham
Rok vydání:	1992
Předmět:	Engineering business.industry Eigenmode expansion Process (computing) Physics::Optics Laser law.invention Resonator Transverse plane law Convergence (routing) Physics::Accelerator Physics Design process business Algorithm Matrix method
Zdroj:	SPIE Proceedings.
ISSN:	0277-786X
DOI:	10.1117/12.58942
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::087898eb115401a733c28c04e313156e https://doi.org/10.1117/12.58942 Zobrazit plný text záznamu