Double-grid finite-difference frequency-domain (DG-FDFD) method for scattering from chiral objects
Contributor(s): Alkan, Ergodan.
Material type:
BookSeries: Synthesis digital library of engineering and computer science: ; Synthesis lectures on computational electromagnetics: # 30.Publisher: San Rafael, Calif. (1537 Fourth Street, San Rafael, CA 94901 USA) : Morgan & Claypool, c2013Description: 1 electronic text (x, 119 p.) : ill., digital file.ISBN: 9781627051460 (electronic bk.).Subject(s): Electromagnetism -- Mathematics | Chirality | Finite differences | electromagnetics | chiral materials | finite difference frequency-domain (FDFD) | Double-Grid Finite-Difference Frequency-Domain (DG-FDFD)DDC classification: 537.0151 Online resources: Abstract with links to resource Also available in print.| Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|
E books
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PK Kelkar Library, IIT Kanpur | Available | EBKE464 |
Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader.
Part of: Synthesis digital library of engineering and computer science.
Series from website.
Includes bibliographical references (p. 109-116).
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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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 approach the electric and magnetic field components are defined at every node in the computation space. Thus, there is no need to perform averaging during the calculations as in the aforementioned FDFD technique. We formulate general 3D frequency-domain numerical methods based on double-grid (DG-FDFD) approach for general bianisotropic materials. The validity of the derived formulations for different scattering problems has been shown by comparing the obtained results to exact and other solutions obtained using different numerical methods.
Also available in print.
Title from PDF t.p. (viewed on February 17, 2013).
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