Virtual reshaping and invisibility in obstacle scattering

Abstract

We consider reshaping a scattering obstacle virtually by using transformation optics in acoustic and electromagnetic scattering. Among the general virtual reshaping results, the virtual minification and virtual magnification are particularly studied. Stability estimates are derived for scattering amplitude in terms of the diameter of a small obstacle, which implies that the limiting case for minification corresponds to a perfect cloaking, i.e., the obstacle is invisible to detection.

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References in corpus (6)

• General Relativity in Electrical Engineering
• Transformation media that rotate electromagnetic fields
• Electromagnetic wormholes and virtual magnetic monopoles
• Full-wave invisibility of active devices at all frequencies
• Design and analytically full-wave validation of the invisibility cloaks, concentrators, and field rotators created with a general class of transformations
• Electromagnetic wormholes via handlebody constructions

Cited by in corpus (8)

• Full and Partial Cloaking in Electromagnetic Scattering
• Regularized Transformation-Optics Cloaking for the Helmholtz Equation: From Partial Cloak to Full Cloak
• Singular perturbation of reduced wave equation and scattering from an embedded obstacle
• Nearly non-scattering electromagnetic wave set and its application
• A general cloak to shift the scattering of different objects
• Multiscale analysis of the acoustic scattering by many scatterers of impedance type
• A cluster of many small holes with negative imaginary surface impedances may generate a negative refraction index
• Approximate Isotropic Cloak for the Maxwell equations