Description

Book Synopsis
This book presents a method that allows the use of multiresolution principles in a time domain electromagnetic modeling technique that is applicable to general structures. The multiresolution time-domain (MRTD) technique, as it is often called, is presented for general basis functions. Additional techniques that are presented here allow the modeling of complex structures using a subcell representation that permits the modeling discrete electromagnetic effects at individual equivalent grid points. This is accomplished by transforming the application of the effects at individual points in the grid into the wavelet domain. In this work, the MRTD technique is derived for a general wavelet basis using a relatively compact vector notation that both makes the technique easier to understand and illustrates the differences between MRTD basis functions. In addition, techniques such as the uniaxial perfectly matched layer (UPML) for arbitrary wavelet resolution and non-uniform gridding are presented. Using these techniques, any structure that can be simulated in Yee-FDTD can be modeled with in MRTD.

Table of Contents
Introduction.- Background.- Modeling of Practical Structures.- Other Techniques Necessary for Simulation: UPML, Variable Gridding, Source Excitation and Time/Space Adaptive Gridding.- MRTD Simulation Examples.

MRTD (Multi Resolution Time Domain) Method in Electromagnetics

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    A Paperback by Nathan Bushyager, Manos M. Tentzeris

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      Book details

      Publisher Springer International Publishing AG
      Published 31 December 2007
      ISBN-13 9783031005596
      978-3031005596
      ISBN-10 3031005597

      Description

      Book Synopsis
      This book presents a method that allows the use of multiresolution principles in a time domain electromagnetic modeling technique that is applicable to general structures. The multiresolution time-domain (MRTD) technique, as it is often called, is presented for general basis functions. Additional techniques that are presented here allow the modeling of complex structures using a subcell representation that permits the modeling discrete electromagnetic effects at individual equivalent grid points. This is accomplished by transforming the application of the effects at individual points in the grid into the wavelet domain. In this work, the MRTD technique is derived for a general wavelet basis using a relatively compact vector notation that both makes the technique easier to understand and illustrates the differences between MRTD basis functions. In addition, techniques such as the uniaxial perfectly matched layer (UPML) for arbitrary wavelet resolution and non-uniform gridding are presented. Using these techniques, any structure that can be simulated in Yee-FDTD can be modeled with in MRTD.

      Table of Contents
      Introduction.- Background.- Modeling of Practical Structures.- Other Techniques Necessary for Simulation: UPML, Variable Gridding, Source Excitation and Time/Space Adaptive Gridding.- MRTD Simulation Examples.

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