Asymptotic Solution of the Helmholtz Equation in a Three-Dimensional Layer of Variable Thickness with a Localized Right-Hand Side


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Аннотация

The asymptotics of the solution to the Helmholtz equation in a three-dimensional layer of variable thickness with a localized right-hand side in the absence of “trap” states and under the asymptotic radiation conditions at infinity is constructed. The wave part of the solution has a finite number of modes. The resulting formula makes sufficiently clear the influence of the shape of the source on the wave part of the solution.

Авторлар туралы

P. Petrov

Ishlinsky Institute for Problems of Mechanics, Russian Academy of Sciences; Moscow Institute of Physics and Technology

Хат алмасуға жауапты Автор.
Email: petr.petrov@phystech.edu
Ресей, Moscow, 117526; Dolgoprudny, Moscow oblast, 141700

S. Dobrokhotov

Ishlinsky Institute for Problems of Mechanics, Russian Academy of Sciences; Moscow Institute of Physics and Technology

Хат алмасуға жауапты Автор.
Email: dobr@ipmnet.ru
Ресей, Moscow, 117526; Dolgoprudny, Moscow oblast, 141700

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