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| 2. |
- Kristensson, Gerhard, et al.
(författare)
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Multiple scattering by a collection of randomly located obstacles distributed in a dielectric slab
- 2020
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Ingår i: Advances in Mathematical Methods for Electromagnetics. - : Institution of Engineering and Technology. - 9781785613845 - 9781785613852 ; , s. 621-651
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Bokkapitel (refereegranskat)abstract
- Multiple scattering of electromagnetic waves by a discrete collection of scatterers is a well-studied subject, and many excellent treatments are found in the literature. The deterministic analysis of the scattering problem in this chapter is an extension of the problems treated previosly. Moreover, the present analysis generalizes the established results in two previous papers to a geometry with a more general background material, which is practical for a controlled experimental verification of the final result. The transmitted and reflected intensities are conveniently represented as a sum of two terms-the coherent and the incoherent contribution. In this chapter, we focus on the analysis of the coherent term. The chapter is organized as follows. In Section 25.2, the geometry of the multiple electromagnetic scattering problem is given, and in Section 25.3, the main tool to solve the problem-the integral representation-is introduced. The integral representations are exploited in the various homogeneous regions of the problem in Section 25.4, and the appropriate expansions of the surface fields are introduced in Section 25.5. The final goal of the chapter is to calculate the transmitted and reflected coherent fields of the problem.
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| 3. |
- Nedic, Mitja, et al.
(författare)
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Herglotz functions and applications in electromagnetics
- 2020
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Ingår i: Advances in Mathematical Methods for Electromagnetics. - : Institution of Engineering and Technology. - 9781785613845 - 9781785613852 ; , s. 491-514
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Bokkapitel (övrigt vetenskapligt/konstnärligt)abstract
- Herglotz functions inevitably appear in pure mathematics, mathematical physics, and engineering with a wide range of applications. In particular, they are the pertinent functions to model passive systems, and thus appear in modeling of electromagnetic phenomena in circuits, antennas, materials, and scattering. In this chapter, we review the basic theory of Herglotz functions and its applications to determine sum rules and physical bounds for passive systems.
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| 4. |
- Shestopalov, Yury, 1953-, et al.
(författare)
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Analytical and numerical solution techniques for forward and inverse scattering problems in waveguides
- 2021
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Ingår i: Advances in Mathematical Methods for Electromagnetics. - Noida, Uttar Pradesh, India : IET: The Institution of Engineering and Technology. - 9781785613845 - 9781785613852 ; , s. 547-570
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Bokkapitel (refereegranskat)abstract
- Chapter: Investigations of the wave propagation in waveguides with inhomogeneous dielectric inclusions are performed using advanced analytical and numerical methods. A particular attention is paid to the analysis of benchmark problems: forward and inverse scattering by parallel-plane dielectric diaphragms and layered structures placed in a rectangular waveguide with perfectly conducting walls. A detailed study of the properties of transmitted fields using the theory of functions of one or several complex variables leads to the development of a technique aimed at reconstructing permittivity of the inclusions from the transmission coefficient. The unique solvability of this inverse problems is proved by establishing the domains where the transmission coefficient is a one-to-one function of permittivity and other problem parameters. The obtained results are used to improve FDTD numerical solution to the corresponding forward and inverse scattering problems for Maxwell’s equations in waveguides and create specifically developed codes. In general, the chapter contributes to the electromagnetic wave theory with several new findings and modified theoretical approaches.
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