On approximations of the Helmholtz equation in the halfspace: Their relevance to inverse diffraction

DOI10.1016/0165-2125(84)90027-1zbMath0543.73028OpenAlexW1977578587MaRDI QIDQ796331

Giovanni Crosta

Publication date: 1984

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(84)90027-1

zbMATH Keywords

Dirichlet boundary conditionsHelmholtz equationFresnel transformparaxial equationsensitivity of approximated solutions

Mathematics Subject Classification ID

Wave scattering in solid mechanics (74J20) Theoretical approximation in context of PDEs (35A35) Inverse problems for waves in solid mechanics (74J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

Minimizing the reflection of electromagnetic waves by surface impedance

Cites Work

• Invariant imbedding method for wave problems
• Elliptische Differentialgleichungen mit variablen Koeffizienten in Gebieten mit unbeschränktem Rand
• Das Ausstrahlungsproblem für elliptische Differentialgleichungen in Gebieten mit unbeschränktem Rand
• Bremmer series that correct parabolic approximations
• Über das Dirichletsche Außenraumproblem für die Schwingungsgleichung
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• Über das asymptotische Verhalten der Lösungen von \(\Delta u+\lambda u=0\) in unendlichen Gebieten
• Inverse scattering within the distorted-wave Born approximation
• Inverse problem for the reduced wave equation with fixed incident field. III
• Inverse diffraction, duality and optimal control
• III-posed and well-posed problems in systems identification
• The principle of limiting absorption
• THE PRINCIPLE OF LIMIT AMPLITUDE
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