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.
| Language | English |
|---|---|
| Pages | 2005-2010 |
| Number of pages | 6 |
| Journal | Journal of Modern Optics |
| Volume | 53 |
| Issue number | 14 |
| DOIs | |
| Publication status | Published - 20 Sep 2006 |
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Keywords
- generalized beam matrices
- mode-locking
- propagation
Cite this
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Master equation for misaligned cavities. / Firth, William J.; Yao, Alison M.
In: Journal of Modern Optics, Vol. 53, No. 14, 20.09.2006, p. 2005-2010.Research output: Contribution to journal › Article
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
T2 - Journal of Modern Optics
JF - Journal of Modern Optics
SN - 0950-0340
IS - 14
ER -