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

  • Electrodynamics and Wave Propagation
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Abstract

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.

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Authors
  1. A. B. Plachenov
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  2. V. N. Kudashov
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  3. A. M. Radin
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Additional information

Original Russian Text © A.B. Plachenov, V.N. Kudashov, A.M. Radin, 2009, published in Radiotekhnika i Elektronika, 2009, Vol. 54, No. 11, pp. 1300–1314.

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Plachenov, A.B., Kudashov, V.N. & Radin, A.M. Explicit formulas for the fundamental mode of a linear resonator with elliptic mirrors and construction of higher order modes. J. Commun. Technol. Electron. 54, 1230–1243 (2009). https://doi.org/10.1134/S1064226909110023

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  • DOI: https://doi.org/10.1134/S1064226909110023

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