scholarly journals Electromagnetic scattering from cylindrically and spherically stratified bodies

1968 ◽  
Vol 46 (12) ◽  
pp. 1463-1468 ◽  
Author(s):  
R. W. Latham
Keyword(s):  
Electromagnetic Field ◽  
Electromagnetic Scattering ◽  
Wave Scattering ◽  
Inhomogeneous Media ◽  
Stratified Media ◽  
Scattering Problems ◽  
Embedding Method ◽  
Invariant Embedding ◽  
Invariant Embedding Method ◽  
Constitutive Parameters

A method is developed for calculating the electromagnetic field scattered by certain types of bodies. The bodies consist of inhomogeneous media whose constitutive parameters vary only with the distance from some axis or point of symmetry. The method consists of an extension of the invariant embedding method for treating wave-scattering problems. This method, familiar in the case of plane stratified media, is extended to handle cylindrically and spherically stratified media.

scholarly journals Benchmarking the invariant embedding method against analytical solutions in model transport problems

2006 ◽  
Vol 21 (2) ◽  
pp. 3-13
Author(s):  
Malin Wahlberg ◽  
Imre Pázsit
Keyword(s):  
Half Space ◽  
Cross Sections ◽  
Length Distribution ◽  
Infinite Medium ◽  
Scattering Medium ◽  
Embedding Method ◽  
Invariant Embedding ◽  
Invariant Embedding Method ◽  
Transport Problems ◽  
Energy Dependent

The purpose of this paper is to demonstrate the use of the invariant embedding method in a few model transport problems for which it is also possible to obtain an analytical solution. The use of the method is demonstrated in three different areas. The first is the calculation of the energy spectrum of sputtered particles from a scattering medium without absorption, where the multiplication (particle cascade) is generated by recoil production. Both constant and energy dependent cross-sections with a power law dependence were treated. The second application concerns the calculation of the path length distribution of reflected particles from a medium without multiplication. This is a relatively novel application, since the embedding equations do not resolve the depth variable. The third application concerns the demonstration that solutions in an infinite medium and in a half-space are interrelated through embedding-like integral equations, by the solution of which the flux reflected from a half-space can be reconstructed from solutions in an infinite medium or vice versa. In all cases, the invariant embedding method proved to be robust, fast, and monotonically converging to the exact solutions.

scholarly journals Time-varying metamaterials and metasurfaces for antennas and propagation applications

2021 ◽  
Vol 2015 (1) ◽  
pp. 012121
Author(s):  
D. Ramaccia ◽  
A. Toscano ◽  
F. Bilotti
Keyword(s):  
Electromagnetic Field ◽  
Electromagnetic Scattering ◽  
Surface Impedance ◽  
Frequency Conversion ◽  
External Control ◽  
Anomalous Scattering ◽  
Time Varying ◽  
Excitation Signal ◽  
Constitutive Parameters ◽  
Antenna Systems

Abstract In this contribution we present the most recent results from our group about the opportunities offered by time-varying metamaterials and metasurfaces for conceiving antenna systems and devices exhibiting artificial non-reciprocity, frequency conversion, energy accumulation and temporal electromagnetic scattering. Such artificial metastructures are characterized by constitutive parameters (permittivity, permeability and/or surface impedance) that are modulated in time through an external control or requires modulated excitation signal for enabling anomalous scattering behaviour. Here, we briefly describe the physical insights of the unusual interaction arising between the electromagnetic field and such metamaterials and metasurfaces, and then we present some antennas and propagation applications, showing the performances of non-reciprocal antenna systems, magnet-less isolators, Doppler cloaks, temporal devices and metasurface-based virtual absorbers.

Determination of optical parameters of partially transparent materials by the invariant embedding method

2017 ◽  
Vol 123 (4) ◽  
pp. 650-657 ◽  
Author(s):  
R. A. Mironov ◽  
M. O. Zabezhailov ◽  
V. V. Cherepanov ◽  
M. Yu. Rusin
Keyword(s):  
Optical Parameters ◽  
Embedding Method ◽  
Invariant Embedding ◽  
Invariant Embedding Method ◽  
Transparent Materials

Non-steady state transport of charge carriers. An approach based on invariant embedding method

2020 ◽  
Vol 127 (4) ◽  
pp. 045703 ◽  
Author(s):  
C. Figueroa ◽  
B. Straube ◽  
M. Villafuerte ◽  
G. Bridoux ◽  
J. Ferreyra ◽  
...  
Keyword(s):  
Steady State ◽  
Charge Carriers ◽  
Embedding Method ◽  
Invariant Embedding ◽  
Invariant Embedding Method

scholarly journals Three-Dimensional Time-Harmonic Electromagnetic Scattering Problems from Bianisotropic Materials and Metamaterials: Reference Solutions Provided by Converging Finite Element Approximations

Electronics ◽  
2020 ◽  
Vol 9 (7) ◽  
pp. 1065
Author(s):  
Praveen Kalarickel Ramakrishnan ◽  
Mirco Raffetto
Keyword(s):  
Finite Element ◽  
Electromagnetic Scattering ◽  
Three Dimensional ◽  
Well Posedness ◽  
Scattering Problems ◽  
Finite Element Approximations ◽  
Time Harmonic ◽  
The Media ◽  
Constitutive Parameters ◽  
Numerical Approaches

A recently developed theory is applied to deduce the well posedness and the finite element approximability of time-harmonic electromagnetic scattering problems involving bianisotropic media in free-space or inside waveguides. In particular, three example problems are considered of which one deals with scattering from plasmonic gratings that exhibit bianisotropy while the other two deal with bianisotropic obstacles inside waveguides. The hypotheses that guarantee the reliability of the numerical results are verified, and the ranges of the constitutive parameters of the media involved for which the finite element solutions are guaranteed to be reliable are deduced. It is shown that, within these ranges, there can be significant bianisotropic effects for the practical media considered as examples. The ensured reliability of the obtained results can make them useful as benchmarks for other numerical approaches. To the best of our knowledge, no other tool can guarantee reliable solutions.

Sign in / Sign up

Export Citation Format

Share Document