Solution of the eigenvalue problem of an integral equation with the help of its associated differential equation applied to the calculation of diffraction losses in confocal resonators

DOI10.1063/1.526765zbMath0577.45003OpenAlexW2039572490WikidataQ115332203 ScholiaQ115332203MaRDI QIDQ3699364

H. J. W. Müller-Kirsten, E. Sattel

Publication date: 1985

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526765

zbMATH Keywords

numerical resultseigenvaluesperturbation methodassociated differential equationoptical resonators

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Linear boundary value problems for ordinary differential equations (34B05) Eigenvalue problems for integral equations (45C05) Physical optics (78A10)

Cites Work

• Beitrag zur Theorie der linearen Differentialgleichungen mit periodischen Koeffizienten
• Scattering by singular potentials with a perturbation—Theoretical introduction to Mathieu functions
• The Existence of Eigenvalues for the Integral Equations of Laser Theory
• On the Eigenvalues of a Class of Integral Equations Arising in Laser Theory
• Existence of Eigenvalues of a Class of Integral Equations Arising in Laser Theory
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - IV: Extensions to Many Dimensions; Generalized Prolate Spheroidal Functions

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