Active manipulation of fields modeled by the Helmholtz equation

DOI10.1216/JIE-2014-26-4-553zbMath1305.78011OpenAlexW2015435205MaRDI QIDQ489294

Daniel Onofrei

Publication date: 20 January 2015

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jiea/1420812885

zbMATH Keywords

integral equationHelmholtz equationlayer potentialsactive exterior cloakingactive manipulation

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (10)

Active control of scalar Helmholtz fields in the presence of known impenetrable obstacles ⋮ Sensitivity analysis for active control of the Helmholtz equation ⋮ Active manipulation of EM fields in open waveguides ⋮ On the synthesis of acoustic sources with controllable near fields ⋮ Active manipulation of Helmholtz scalar fields: near-field synthesis with directional far-field control ⋮ Active manipulation of exterior electromagnetic fields by using surface sources ⋮ Approximation by Herglotz Wave Functions ⋮ Sensitivity analysis for the active manipulation of Helmholtz fields in 3D ⋮ Active control of Helmholtz fields in 3D using an array of sources ⋮ Active manipulation of Helmholtz scalar fields in an ocean of two homogeneous layers of constant depth

Cites Work

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• On the cloaking effects associated with anomalous localized resonance
• Active Exterior Cloaking for the 2D Laplace and Helmholtz Equations
• Active Control of Sound for Composite Regions
• Invisibility and inverse problems

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