Abstract
An asymptotic solution has been obtained for the system of generalized wave functions of an electromagnetic field in an azimuthally bigyrotropic medium in the proximity of an irregular singular point. The characteristic values and exponents have been determined and recurrence formulas have been established for the coefficients of formal series and the solutions found are presented in terms of the partial sums of the decreasing terms of the series. We consider the passages to the limit of characteristic particular cases. The results are given of a comparison of the calculation of one asymptotic solution and the corresponding regular solution. Together with the regular solutions, the relations established enable model investigations to be carried out on wave processes in media and oscillatory systems with an azimuthal double gyrotropy over a wide range of their parameters.
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A. E. Mudrov, V. A. Meshcheryakov, and G. A. Red'kin, Izv. Vyssh. Uchebn. Zaved. Fiz., No. 4, 18 (1979).
A. E. Mudrov, V. A. Meshcheryakov, and G. A. Red'kin, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 9, 54 (1979).
V. A. Meshcheryakov, A. E. Mudrov, and G. A. Red'kin, Izv. Vyssh. Uchebn, Zaved., Fiz., No. 4, 24 (1981).
F. Oliver, Introduction to Asymptotic Methods and Special Functions [Russian translation], Nauka, Moscow (1978).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 52–56, July, 1982.
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Meshcheryakov, V.A., Mudrov, A.E. & Red'kin, G.A. Natural waves in an azimuthally magnetized bigyrotropic medium. III. Soviet Physics Journal 25, 628–631 (1982). https://doi.org/10.1007/BF00911792
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DOI: https://doi.org/10.1007/BF00911792