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

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

Fingerprint Dive into the research topics of 'Master equation for misaligned cavities'. Together they form a unique fingerprint.

Cite this

Firth, W. J., & Yao, A. M. (2006). Master equation for misaligned cavities. Journal of Modern Optics, 53(14), 2005-2010. https://doi.org/10.1080/09500340600787424

@article{6db2a8e2c9b84b35bec477acf12752c9,

title = "Master equation for misaligned cavities",

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.",

keywords = "generalized beam matrices, mode-locking, propagation",

author = "Firth, {William J.} and Yao, {Alison M.}",

year = "2006",

month = "9",

day = "20",

doi = "10.1080/09500340600787424",

language = "English",

volume = "53",

pages = "2005--2010",

journal = "Journal of Modern Optics",

issn = "0950-0340",

number = "14",

}

TY - JOUR

T1 - Master equation for misaligned cavities

AU - Firth, William J.

AU - Yao, Alison M.

PY - 2006/9/20

Y1 - 2006/9/20

N2 - 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.

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

IS - 14

ER -