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Analytical method for analysis of electromagnetic scattering from inhomogeneous spherical structures using duality

M Kiani1, A Abdolali1, M Safari1

  • 1Department of Electrical Engineering, Iran University of Science and Technology, Narmak, Tehran, Iran.

Physical Review. E
|May 20, 2018
PubMed
Summary

This study introduces a novel analytical method using the duality principle to analyze electromagnetic scattering from radially inhomogeneous spherical structures (RISSs). The approach simplifies complex spherical problems into solvable planar ones, enabling efficient analysis of gradient refractive index materials.

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Area of Science:

  • Electromagnetics
  • Wave Propagation
  • Applied Physics

Background:

  • Analyzing electromagnetic (EM) scattering from radially inhomogeneous spherical structures (RISSs) is complex.
  • Existing methods often involve intricate mathematical formulations in spherical coordinates.

Purpose of the Study:

  • To present a new analytical approach for EM scattering analysis of RISSs.
  • To simplify the analysis of complex spherical EM problems.

Main Methods:

  • Utilizes the duality principle to relate spherical and planar EM problems.
  • Employs spherical harmonics for angular dependencies and equates radial differential equations to dual planar ones.
  • Introduces a general duality between EM fields, parameters, and scattering parameters.

Main Results:

  • The proposed approach transforms a complex spherical problem into a simpler, well-posed planar problem.
  • Demonstrates validity for all continuously varying inhomogeneity profiles.
  • Successfully analyzes EM scattering from gradient refractive index (GRIN) lens antennas, validating their strong performance.

Conclusions:

  • The duality principle offers an efficient and versatile method for analyzing EM scattering from RISSs.
  • This approach facilitates the study of various RISS types and applications like GRIN lens antennas.
  • The method provides a significant advantage by simplifying complex EM scattering analyses.