Double-grid finite-difference frequency-domain (DG-FDFD) method for scattering from chiral objects

Double-grid finite-difference frequency-domain (DG-FDFD) method for scattering from chiral objects /

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This book presents the application of the overlapping grids approach to solve chiral material problems using the FDFD method. Due to the two grids being used in the technique, we will name this method as Double-Grid Finite Difference Frequency-Domain (DG-FDFD) method. As a result of this new approac...

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Bibliographic Details
Main Authors: Alkan, Erdogan, 1978- (Author), Demir, Veysel, 1974- (Author), Elsherbeni, Atef Z. (Author), Arvas, Ercument (Author)
Format: Electronic eBook
Language:English
Published: Cham, Switzerland : Springer, [2013]
Series:Synthesis lectures on computational electromagnetics ; #30.
Subjects:
Electromagnetism > Mathematics.
Chirality.
Finite differences.
Electromagnetism.
Online Access:Connect to this title online
Table of Contents:
  • Chiral media
  • Basics of the finite-difference frequency-domain (FDFD) method
  • The double-grid finite-difference frequency-domain (DG-FDFD) method for bianisotropic medium
  • Scattering from three dimensional chiral structures
  • Improving time and memory efficiencies of FDFD methods.
  • 1. Introduction
  • 1.1 Motivation
  • 1.2 Book overview.
  • 2. Chiral media
  • 2.1 Early studies on bi-isotropic and chiral media
  • 2.2 Definitions
  • 2.3 Constitutive relations
  • 2.4 Wavefield decomposition.
  • 3. Basics of the finite-difference frequency-domain (FDFD) method
  • 3.1 Comparison of numerical methods
  • 3.2 The finite difference approximation
  • 3.3 Finite-difference frequency-domain (FDFD) method for electromagnetics problems
  • 3.4 Incident field expressions
  • 3.5 Solution of finite-difference frequency-domain equations.
  • 4. The double-grid finite-difference frequency-domain (DG-FDFD) method for bianisotropic medium
  • 4.1 Formulation of the DG-FDFD scheme
  • 4.2 Scattered-field formulation
  • 4.3 Integrating PML equations into DG-FDFD scheme
  • 4.4 Solution of derived DG-FDFD equations.
  • 5. Scattering from three dimensional chiral structures
  • 5.1 Validation of DG-FDFD method
  • 5.2 Scattering from homogeneous spheres
  • 5.3 Scattering from inhomogeneous spheres
  • 5.4 Scattering from a finite homogeneous cylinder
  • 5.5 Scattering from finite inhomogeneous cylinders
  • 5.6 Scattering from homogeneous cube
  • 5.7 Scattering from inhomogeneous cube.
  • 6. Improving time and memory efficiencies of FDFD methods
  • 6.1 Computational resources required by DG-FDFD and FDFD methods
  • 6.2 DG-FDFD method with multi-step solution algorithm
  • 6.3 An algorithm for efficient solution of finite-difference frequency-domain (FDFD) methods.
  • 7. Conclusions
  • A. Notations
  • The reference notation
  • Other notations and conversion to the reference notation
  • B. Near to far field transformation
  • Bibliography
  • Authors' biographies.

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