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Integral Representations of a Pulsed Signal in a Waveguideстатья
- Авторы: Shanin A.V., Korolkov A.I., Kniazeva K.S.
- Журнал: Acoustical Physics
- Том: 68
- Номер: 4
- Год издания: 2022
- Издательство: Maik Nauka/Interperiodica Publishing
- Местоположение издательства: Russian Federation
- Первая страница: 316
- Последняя страница: 325
- DOI: 10.1134/s1063771022040108
- Аннотация: The problem of pulsed excitation of an acoustic waveguide with a constant cross section is considered.Absorption is ignored. As the most general model of such a waveguide, matrix Klein–Gordon equationis investigated (the waveguide finite-element method). For a waveguide described by the model, several field representations are constructed: in the form of a double integral over \omega and k, in the form of a sum of integrals over \omega, in the form of a sum of integrals over k. Riemann surfaces of multivalued complex functions k(\omega) and \omega(k), which are implicitly determined by dispersion equation, are introduced. Integration in the field representations is held over the sheets of the Riemann surfaces. By deformation of integration contours, equivalence of the aforementioned representations is proved.
- Добавил в систему: Князева Ксения Сергеевна