Conclusions
The results of this study suggest the following.
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1.
The spectrum of a precisely fabricated and adjusted open resonator with large-aperture mirrors (2a ≫ λ anda ∼ d) consists of axisymmetric modes when excitation is concentrated along the resonator axis.
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2.
Alinear combination of modes with rectangular even symmetry corresponds to an axisymmetric mode when the inequality m+n+1=2p+l+1 is satisfied.
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3.
The degeneracy of modes is effectively removed by insertion of a phase filter into space of the open resonator, or by the use of mirrors with slightly different radii of curvature in mutually orthogonal directions (astigmatic mirrors).
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4.
Using the well-known method of a test probe for analyzing the spectral content of oscillations in an open resonator [4] requires a certain caution, viz.: it must be remembered that reliable quantitative results will be obtained only for the lowest-order TEM00q mode and for nondegenerate modes with rectangular symmetry.
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5.
It is expedient to use an open resonator with a “pure” spectrum of natural modes in millimeter-wave devices such as radiospectrometer cells and resonance spaces in diffraction radiation generators, also as active cells in spectrum analyzers of spatial field structures of any configuration.
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Literature Cited
V. P. Shestopalov, Diffraction Electronics [in Russian], Vysshaya Shkola, Kharkov (1976).
A. A. Vertii, V. N. Derkach, and V. P. Shestopalov, Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 3, 247 (1978).
A. A. Vertii, V. N. Derkach, N. A. Popenko, and V. P. Shestopalov, Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 4, 356 (1976).
R. A. Valitov, S. D. Dyubko, et al., Submillimeter-Wave Techniques [in Russian], Sovet-skoe Radio, Moscow (1969).
L. A. Vainshtein, Open Resonators and Open Waveguides [in Russian], Sovet-skoe Radio, Moscow (1966).
H. Kogelnik, Quasi-Optics [Russian translation], B. Z. Katsenelenbaum (ed.), Mir, Moscow (1966).
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Additional information
Institute of Radiophysics and Electronics, Academy of Sciences of the Ukranian SSR. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 24, No. 1, pp. 76–83, January, 1981.
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Vertii, A.A., Derkach, V.N., Krasyuk, V.B. et al. Degenerate oscillations in a quasioptical open resonator with rectangular large-aperture mirrors. Radiophys Quantum Electron 24, 54–59 (1981). https://doi.org/10.1007/BF01034354
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DOI: https://doi.org/10.1007/BF01034354