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Scattering analysis of periodic structures using finite-difference time-domain method

By: ElMahgoub, Khaled.
Contributor(s): Yang, Fan 1975- | Elsherbeni, Atef Z.
Material type: materialTypeLabelBookSeries: Synthesis digital library of engineering and computer science: ; Synthesis lectures on computational electromagnetics: # 28.Publisher: San Rafael, Calif. (1537 Fourth Street, San Rafael, CA 94901 USA) : Morgan & Claypool, c2012Description: 1 electronic text (xvii, 122 p.) : ill., digital file.ISBN: 9781608458141 (electronic bk.).Subject(s): Scattering (Physics) -- Mathematical models | Electromagnetism -- Mathematical models | Finite differences | Time-domain analysis | finite difference time domain (FDTD) | periodic structures | periodic boundary conditions (PBC) | generalized scattering matrix (GSM) | frequency selective surfaces (FSS) | multi-layer structures | auxiliary differential equation (ADE) | dispersive material | general skewed gridDDC classification: 539.758 Online resources: Abstract with links to resource Also available in print.
Contents:
1. Introduction -- 1.1 Background -- 1.2 Contributions --
2. FDTD method and periodic boundary conditions -- 2.1 Basic equations of the FDTD method -- 2.2 Periodic boundary conditions -- 2.3 Constant horizontal wavenumber approach -- 2.4 Numerical results -- 2.4.1 An infinite dielectric slab -- 2.4.2 A dipole FSS -- 2.4.3 A Jerusalem cross FSS -- 2.5 Summary --
3. Skewed grid periodic structures -- 3.1 Introduction -- 3.2 Constant horizontal wavenumber approach for skewed grid case -- 3.2.1 The coincident skewed shift -- 3.2.2 The non-coincident skewed shift -- 3.3 Numerical results -- 3.3.1 An infinite dielectric slab -- 3.3.2 A dipole FSS -- 3.3.3 A Jerusalem cross FSS -- 3.4 Summary --
4. Dispersive periodic structures -- 4.1 Introduction -- 4.2 Auxiliary differential equation method -- 4.3 Dispersive periodic boundary conditions -- 4.4 Numerical results -- 4.4.1 An infinite water slab -- 4.4.2 Nanoplasmonic solar cell structure -- 4.4.3 Sandwiched composite FSS -- 4.5 Summary --
5. Multilayered periodic structures -- 5.1 Introduction -- 5.2 Categories of multilayered periodic structures -- 5.3 Hybrid FDTD/GSM method -- 5.3.1 Procedure of hybrid FDTD/GSM method -- 5.3.2 Calculating scattering parameters using FDTD/PBC -- 5.4 FDTD/PBC floquet harmonic analysis of periodic structures -- 5.4.1 Evanescent and propagation harmonics in periodic structures -- 5.4.2 Guideline for harmonic selection -- 5.5 Numerical results -- 5.5.1 Test case 1 (infinite dielectric slab) -- 5.5.2 Test case 2 (1:1 case, normal incidence and large gap) -- 5.5.3 Test case 3 (1:1 case, normal incidence and small gap) -- 5.5.4 Test case 4 (1:1 case, oblique incidence and large gap) -- 5.5.5 Test case 5 (1:1 case, oblique incidence and small gap) -- 5.5.6 Test case 6 (n:m case, normal incidence and large gap) -- 5.5.7 Test case 7 (n:m case, normal incidence and small gap) -- 5.5.8 Test case 8 (n:m case, oblique incidence and large gap) -- 5.6 Summary --
6. Conclusions --
A. Dispersive media -- Auxiliary differential equation in scattered field formulation -- Scattering from 3-D dispersive objects -- Analysis of RFID tags mounted over human body tissue -- Transformation from Lorentz model to Debye model for gold and silver media --
B. Scattering matrix of periodic structures -- General S- to T-parameters transformation -- Square patch multilayered FSS -- L-shaped multilayered FSS --
References -- Authors' biographies.
Abstract: Periodic structures are of great importance in electromagnetics due to their wide range of applications such as frequency selective surfaces (FSS), electromagnetic band gap (EBG) structures, periodic absorbers, meta-materials, and many others.The aim of this book is to develop efficient computational algorithms to analyze the scattering properties of various electromagnetic periodic structures using the finite-difference time-domain periodic boundary condition (FDTD/PBC) method. A new FDTD/PBC-based algorithm is introduced to analyze general skewed grid periodic structures while another algorithm is developed to analyze dispersive periodic structures. Moreover, the proposed algorithms are successfully integrated with the generalized scattering matrix (GSM) technique, identified as the hybrid FDTD-GSM algorithm, to efficiently analyze multilayer periodic structures. All the developed algorithms are easy to implement and are efficient in both computational time and memory usage. These algorithms are validated through several numerical test cases. The computational methods presented in this book will help scientists and engineers to investigate and design novel periodic structures and to explore other research frontiers in electromagnetics.
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E books E books PK Kelkar Library, IIT Kanpur
Available EBKE411
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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. 113-118).

1. Introduction -- 1.1 Background -- 1.2 Contributions --

2. FDTD method and periodic boundary conditions -- 2.1 Basic equations of the FDTD method -- 2.2 Periodic boundary conditions -- 2.3 Constant horizontal wavenumber approach -- 2.4 Numerical results -- 2.4.1 An infinite dielectric slab -- 2.4.2 A dipole FSS -- 2.4.3 A Jerusalem cross FSS -- 2.5 Summary --

3. Skewed grid periodic structures -- 3.1 Introduction -- 3.2 Constant horizontal wavenumber approach for skewed grid case -- 3.2.1 The coincident skewed shift -- 3.2.2 The non-coincident skewed shift -- 3.3 Numerical results -- 3.3.1 An infinite dielectric slab -- 3.3.2 A dipole FSS -- 3.3.3 A Jerusalem cross FSS -- 3.4 Summary --

4. Dispersive periodic structures -- 4.1 Introduction -- 4.2 Auxiliary differential equation method -- 4.3 Dispersive periodic boundary conditions -- 4.4 Numerical results -- 4.4.1 An infinite water slab -- 4.4.2 Nanoplasmonic solar cell structure -- 4.4.3 Sandwiched composite FSS -- 4.5 Summary --

5. Multilayered periodic structures -- 5.1 Introduction -- 5.2 Categories of multilayered periodic structures -- 5.3 Hybrid FDTD/GSM method -- 5.3.1 Procedure of hybrid FDTD/GSM method -- 5.3.2 Calculating scattering parameters using FDTD/PBC -- 5.4 FDTD/PBC floquet harmonic analysis of periodic structures -- 5.4.1 Evanescent and propagation harmonics in periodic structures -- 5.4.2 Guideline for harmonic selection -- 5.5 Numerical results -- 5.5.1 Test case 1 (infinite dielectric slab) -- 5.5.2 Test case 2 (1:1 case, normal incidence and large gap) -- 5.5.3 Test case 3 (1:1 case, normal incidence and small gap) -- 5.5.4 Test case 4 (1:1 case, oblique incidence and large gap) -- 5.5.5 Test case 5 (1:1 case, oblique incidence and small gap) -- 5.5.6 Test case 6 (n:m case, normal incidence and large gap) -- 5.5.7 Test case 7 (n:m case, normal incidence and small gap) -- 5.5.8 Test case 8 (n:m case, oblique incidence and large gap) -- 5.6 Summary --

6. Conclusions --

A. Dispersive media -- Auxiliary differential equation in scattered field formulation -- Scattering from 3-D dispersive objects -- Analysis of RFID tags mounted over human body tissue -- Transformation from Lorentz model to Debye model for gold and silver media --

B. Scattering matrix of periodic structures -- General S- to T-parameters transformation -- Square patch multilayered FSS -- L-shaped multilayered FSS --

References -- Authors' biographies.

Abstract freely available; full-text restricted to subscribers or individual document purchasers.

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Periodic structures are of great importance in electromagnetics due to their wide range of applications such as frequency selective surfaces (FSS), electromagnetic band gap (EBG) structures, periodic absorbers, meta-materials, and many others.The aim of this book is to develop efficient computational algorithms to analyze the scattering properties of various electromagnetic periodic structures using the finite-difference time-domain periodic boundary condition (FDTD/PBC) method. A new FDTD/PBC-based algorithm is introduced to analyze general skewed grid periodic structures while another algorithm is developed to analyze dispersive periodic structures. Moreover, the proposed algorithms are successfully integrated with the generalized scattering matrix (GSM) technique, identified as the hybrid FDTD-GSM algorithm, to efficiently analyze multilayer periodic structures. All the developed algorithms are easy to implement and are efficient in both computational time and memory usage. These algorithms are validated through several numerical test cases. The computational methods presented in this book will help scientists and engineers to investigate and design novel periodic structures and to explore other research frontiers in electromagnetics.

Also available in print.

Title from PDF t.p. (viewed on June 13, 2012).

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