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Title: Modes of a twisted optical cavity

Abstract

An astigmatic optical resonator consists of two astigmatic mirrors facing each other. The resonator is twisted when the symmetry axes of the mirrors are nonparallel. We present an algebraic method to obtain the complete set of the paraxial eigenmodes of such a resonator. Basic ingredients are the complex eigenvectors of the four-dimensional transfer matrix that describes the transformation of a ray of light over a roundtrip of the resonator. The relation between the fundamental mode and the higher-order modes is expressed in terms of raising operators in the spirit of the ladder operators of the quantum harmonic oscillator.

Authors:
;  [1]
  1. Huygens Laboratorium, Universiteit Leiden, Postbus 9504, 2300 RA Leiden (Netherlands)
Publication Date:
OSTI Identifier:
20982410
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevA.75.033819; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANALYTICAL SOLUTION; EIGENFUNCTIONS; EIGENVECTORS; FOUR-DIMENSIONAL CALCULATIONS; HARMONIC OSCILLATORS; MATRICES; MIRRORS; OPTICS; RESONATORS; SYMMETRY; TRANSFER FUNCTIONS; TRANSFORMATIONS

Citation Formats

Habraken, Steven J. M., and Nienhuis, Gerard. Modes of a twisted optical cavity. United States: N. p., 2007. Web. doi:10.1103/PHYSREVA.75.033819.
Habraken, Steven J. M., & Nienhuis, Gerard. Modes of a twisted optical cavity. United States. doi:10.1103/PHYSREVA.75.033819.
Habraken, Steven J. M., and Nienhuis, Gerard. Thu . "Modes of a twisted optical cavity". United States. doi:10.1103/PHYSREVA.75.033819.
@article{osti_20982410,
title = {Modes of a twisted optical cavity},
author = {Habraken, Steven J. M. and Nienhuis, Gerard},
abstractNote = {An astigmatic optical resonator consists of two astigmatic mirrors facing each other. The resonator is twisted when the symmetry axes of the mirrors are nonparallel. We present an algebraic method to obtain the complete set of the paraxial eigenmodes of such a resonator. Basic ingredients are the complex eigenvectors of the four-dimensional transfer matrix that describes the transformation of a ray of light over a roundtrip of the resonator. The relation between the fundamental mode and the higher-order modes is expressed in terms of raising operators in the spirit of the ladder operators of the quantum harmonic oscillator.},
doi = {10.1103/PHYSREVA.75.033819},
journal = {Physical Review. A},
number = 3,
volume = 75,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}