Table of Contents
1 COVER
3 PREFACE
4 GUIDE TO THE BOOK FORMAT SPECIFIC CHOICES DEALING WITH SOME TOPICS Z TRANSFORMS PROGRAMMING EXERCISES PROGRAMMING LANGUAGE PYTHON VERSION
5 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
6 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 PROBLEM SET 2.3 2.4 FORMULATION USING Z TRANSFORMS PROBLEM SET 2.4 2.5 FORMULATING A LORENTZ MEDIUM PROBLEM SET 2.5 REFERENCES PYTHON PROGRAMS USED TO GENERATE FIGURES IN THIS CHAPTER
7 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 REFERENCES
8 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 PROBLEM SET 4.3 REFERENCES
9 5 ADVANCED PYTHON FEATURES 5.1 CLASSES PROBLEM SET 5.1 5.2 PROGRAM STRUCTURE PROBLEM SET 5.2.1 PROBLEM SET 5.2.2 5.3 INTERACTIVE WIDGETS PROBLEM SET 5.3
10 6 DEEP REGIONAL HYPERTHERMIA TREATMENT PLANNING 6.1 INTRODUCTION 6.2 FDTD SIMULATION OF THE SIGMA 60 6.3 SIMULATION PROCEDURE 6.4 DISCUSSION REFERENCES
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APPENDIX A: THE Z TRANSFORMTHE Z TRANSFORM
A.1 THE SAMPLED TIME DOMAIN AND THE Z TRANSFORM
A.2 EXAMPLES
A.3 APPROXIMATIONS IN GOING FROM THE FOURIER