Electromagnetic wave scattering by a superconductor
Miguel C. N. Fiolhais, Hanno Ess\'en

TL;DR
This paper investigates how electromagnetic waves scatter off an infinite cylindrical superconductor by solving the Helmholtz equation, revealing diffraction patterns through numerical analysis of Bessel functions.
Contribution
It provides a detailed numerical analysis of electromagnetic scattering by a superconductor, including diffraction pattern formation, which is a novel application of Helmholtz equation solutions in this context.
Findings
Diffraction patterns emerge in scattering by superconductors.
Numerical results include up to 77th order Bessel functions.
Wavelength-dependent scattering behaviors are demonstrated.
Abstract
The interaction between radiation and superconductors is explored in this paper. In particular, the calculation of a plane standing wave scattered by an infinite cylindrical superconductor is performed by solving the Helmholtz equation in cylindrical coordinates. Numerical results computed up to of Bessel functions are presented for different wavelengths showing the appearance of a diffraction pattern.
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