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Zeitschrift für Analysis und ihre Anwendungen

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Volume 32, Issue 2, 2013, pp. 155–162
DOI: 10.4171/ZAA/1478

Published online: 2013-04-08

Model of Point-Like Window for Electromagnetic Helmholtz Resonator

Igor Yu. Popov[1]

(1) St. Petersburg National Research University of Information Technologies, Mechanics and Optics, Russian Federation

Point-like interaction between internal and external operators as a model of electromagnetic Helmholtz resonator is suggested. It is based on the theory of self-adjoint extensions of symmetric operators in Pontryagin space. Formula for the resonance close to the eigenvalue of the internal operator is obtained.

Keywords: Operator extensions theory, singular perturbation, Maxwell operator, Pontryagin space

Popov Igor: Model of Point-Like Window for Electromagnetic Helmholtz Resonator. Z. Anal. Anwend. 32 (2013), 155-162. doi: 10.4171/ZAA/1478