The resonator with narrow slit and the model based on the operator extensions theory

1 November 1992

journal article
research article
Published by AIP Publishing in Journal of Mathematical Physics

Vol. 33 (11), 3794-3801
https://doi.org/10.1063/1.529877

Abstract

The model of zero width slits based on the operator's extension theory in an indefinite metric space for the wave scattering by a resonator with a narrow slit is constructed.

Keywords

SCATTERING THEORY
NEUMANN PROBLEM
GREEN FUNCTION
WAVE PROPAGATION

This publication has 2 references indexed in Scilit:

The extension theory and diffraction problems
Published by Springer Nature ,2005
The theory of the Helmholtz resonator
Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1916

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