Jean-Michel L. Bernard, CEA, France.
ISBN : 9781786308573
Publication Date : October 2024
Hardcover 366 pp
165.00 USD
Co-publisher
This book presents a collection of independent mathematical studies, describing the analytical reduction of complex generic problems in the theory of scattering and propagation of electromagnetic waves in the presence of imperfectly conducting objects.
Their subjects include: a global method for scattering by a multimode plane; diffraction by an impedance curved wedge; scattering by impedance polygons; advanced properties of spectral functions in frequency and time domains; bianisotropic media and related coupling expressions; and exact and asymptotic reductions of surface radiation integrals.
The methods developed here can be qualified as analytical when they lead to exact explicit expressions, or semi-analytical when they drastically reduce the mathematical complexity of studied problems. Therefore, they can be used in mathematical physics and engineering to analyse and model, but also in applied mathematics to calculate the scattered fields in electromagnetism for a low computational cost.
1. A Global Method for the Scattering by a Multimode Plane with Arbitrary Primary Sources and Complete Series with Error Functions.
2. Diffraction by an Impedance Curved Wedge with Arbitrary Angle and Uniform Higher Order Asymptotics.
3. Spectral Equations for Scattering by Impedance Polygons: Properties and Solutions.
4. Advanced Properties of Spectral Functions in Frequency and Time Domains for Diffraction by a Wedge-shaped Region.
5. General Integral Identities for Bianisotropic Media and Related Equations, Properties and Coupling Expressions.
6. Exact and Asymptotic Reductions of Surface Radiation Integrals with Complex Exponential Arguments to Efficient Contour Integrals.
Jean-Michel L. Bernard is a former Research Director at the CEA, France, and an associate researcher at the CMLA-ENS, Paris-Saclay, France. Currently, he is a senior member of the IEEE engineering association. His research interests include the evaluation of electromagnetic fields scattered by complex objects, especially by analytical and semi-analytical technics.
