Electromagnetic Simulation Using the FDTD Method with Python

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Dennis M. Sullivan. Electromagnetic Simulation Using the FDTD Method with Python

Table of Contents

List of Tables

List of Illustrations

Guide

Pages

ELECTROMAGNETIC SIMULATION USING THE FDTD METHOD WITH PYTHON

ABOUT THE AUTHORS

PREFACE

GUIDE TO THE BOOK

FORMAT

SPECIFIC CHOICES DEALING WITH SOME TOPICS

Z TRANSFORMS

PROGRAMMING EXERCISES

PROGRAMMING LANGUAGE

PYTHON VERSION

1 ONE‐DIMENSIONAL SIMULATION WITH THE FDTD METHOD

1.1 ONE‐DIMENSIONAL FREE‐SPACE SIMULATION

PROBLEM SET 1.1

1.2 STABILITY AND THE FDTD METHOD

PROBLEM SET 1.2

1.3 THE ABSORBING BOUNDARY CONDITION IN ONE DIMENSION

PROBLEM SET 1.3

1.4 PROPAGATION IN A DIELECTRIC MEDIUM

PROBLEM SET 1.4

1.5 SIMULATING DIFFERENT SOURCES

PROBLEM SET 1.5

1.6 DETERMINING CELL SIZE

PROBLEM SET 1.6

1.7 PROPAGATION IN A LOSSY DIELECTRIC MEDIUM

PROBLEM SET 1.7

1.A APPENDIX

REFERENCES

PYTHON PROGRAMS USED TO GENERATE FIGURES IN THIS CHAPTER

2 MORE ON ONE‐DIMENSIONAL SIMULATION

2.1 REFORMULATION USING THE FLUX DENSITY

PROBLEM SET 2.1

2.2 CALCULATING THE FREQUENCY DOMAIN OUTPUT

PROBLEM SET 2.2

2.3 FREQUENCY‐DEPENDENT MEDIA

2.3.1 Auxiliary Differential Equation Method

PROBLEM SET 2.3

2.4 FORMULATION USING Z TRANSFORMS

2.4.1 Simulation of Unmagnetized Plasma

PROBLEM SET 2.4

2.5 FORMULATING A LORENTZ MEDIUM

2.5.1 Simulation of Human Muscle Tissue

PROBLEM SET 2.5

REFERENCES

PYTHON PROGRAMS USED TO GENERATE FIGURES IN THIS CHAPTER

3 TWO‐DIMENSIONAL SIMULATION

3.1 FDTD IN TWO DIMENSIONS

PROBLEM SET 3.1

3.2 THE PERFECTLY MATCHED LAYER (PML)

PROBLEM SET 3.2

3.3 TOTAL/SCATTERED FIELD FORMULATION

3.3.1 A Plane Wave Impinging on a Dielectric Cylinder

3.3.2 Fourier Analysis

PROBLEMS SET 3.3

REFERENCES

4 THREE‐DIMENSIONAL SIMULATION

4.1 FREE‐SPACE SIMULATION

PROBLEM SET 4.1

4.2 THE PML IN THREE DIMENSIONS

PROBLEM SET 4.2

4.3 TOTAL/SCATTERED FIELD FORMULATION IN THREE DIMENSIONS

4.3.1 A Plane Wave Impinging on a Dielectric Sphere

PROBLEM SET 4.3

REFERENCES

5 ADVANCED PYTHON FEATURES

5.1 CLASSES

PROBLEM SET 5.1

5.1.1 Named Tuples

5.2 PROGRAM STRUCTURE

5.2.1 Code Repetition

PROBLEM SET 5.2.1

5.2.2 Overall Structure

PROBLEM SET 5.2.2

5.3 INTERACTIVE WIDGETS

PROBLEM SET 5.3

6 DEEP REGIONAL HYPERTHERMIA TREATMENT PLANNING

6.1 INTRODUCTION

6.2 FDTD SIMULATION OF THE SIGMA 60

6.2.1 Simulation of the Applicator

6.2.2 Simulation of the Patient Model

6.3 SIMULATION PROCEDURE

6.4 DISCUSSION

REFERENCES

APPENDIX A THE Z TRANSFORM

A.1 THE SAMPLED TIME DOMAIN AND THE Z TRANSFORM

A.1.1 Delay Property

A.1.2 Convolution Property

A.2 EXAMPLES

A.3 APPROXIMATIONS IN GOING FROM THE FOURIER TO THE Z DOMAIN

PROBLEM SET A

REFERENCES

APPENDIX B ANALYTIC SOLUTION TO CALCULATING THE ELECTRIC FIELD

REFERENCE

Index

WILEY END USER LICENSE AGREEMENT

Отрывок из книги

IEEE Press 445 Hoes Lane Piscataway, NJ 08854

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From this we can get the computer equations

(1.16a)

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