Master equation for misaligned cavities

William J. Firth; Alison M. Yao

doi:10.1080/09500340600787424

Master equation for misaligned cavities

Research output: Contribution to journal › Article › peer-review

Abstract

Misaligned cavities can be described by a 3 x 3 extension of the well-known ABCD matrix approach to aligned cavities. There is a corresponding Huygens integral (HI) formulation for the evolution of the field within such a cavity. We derive a differential 'master' equation (ME) formulation which yields identical eigenmodes and eigenvalues to this HI. This ME is fully equivalent to the HI for linear problems, while providing a more convenient route to the analysis of nonlinear behaviour in such cavities.

Original language	English
Pages (from-to)	2005-2010
Number of pages	6
Journal	Journal of Modern Optics
Volume	53
Issue number	14
DOIs	https://doi.org/10.1080/09500340600787424
Publication status	Published - 20 Sep 2006

Keywords

generalized beam matrices
mode-locking
propagation

Access to Document

10.1080/09500340600787424

Cite this

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AU - Yao, Alison M.

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AB - Misaligned cavities can be described by a 3 x 3 extension of the well-known ABCD matrix approach to aligned cavities. There is a corresponding Huygens integral (HI) formulation for the evolution of the field within such a cavity. We derive a differential 'master' equation (ME) formulation which yields identical eigenmodes and eigenvalues to this HI. This ME is fully equivalent to the HI for linear problems, while providing a more convenient route to the analysis of nonlinear behaviour in such cavities.

KW - generalized beam matrices

KW - mode-locking

KW - propagation

U2 - 10.1080/09500340600787424

DO - 10.1080/09500340600787424

M3 - Article

VL - 53

SP - 2005

EP - 2010

JO - Journal of Modern Optics

JF - Journal of Modern Optics

SN - 0950-0340

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