Explicit formulas for the fundamental mode of a linear resonator with elliptic mirrors and construction of higher order modes

A linear resonator bounded by elliptic (hyperbolic) mirrors with noncoinciding principal curvature directions is considered. Explicit analytic formulas describing the fundamental mode of such resonator are derived in the principal approximation. A procedure of constructing higher order modes is deve...

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Bibliographic Details
Published in:Journal of communications technology & electronics 2009-11, Vol.54 (11), p.1230-1243
Main Authors: Plachenov, A. B., Kudashov, V. N., Radin, A. M.
Format: Article
Language:English
Subjects:
Approximation
Asymptotic methods
Communications Engineering
Communications technology
Diffraction
Eigenvalues
Eigenvectors
Electrodynamics and Wave Propagation
Engineering
Mirrors
Networks
Optoelectronics
Propagation
Studies
Citations: Items that this one cites
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Summary:A linear resonator bounded by elliptic (hyperbolic) mirrors with noncoinciding principal curvature directions is considered. Explicit analytic formulas describing the fundamental mode of such resonator are derived in the principal approximation. A procedure of constructing higher order modes is developed. The potentialities of the technique are exemplified by considering a resonator with mirrors whose shapes are close to spheres and a resonator with elliptic mirrors whose shapes are close to each other.
ISSN:1064-2269
1555-6557
DOI:10.1134/S1064226909110023