Electromagnetic Wave Theory (eBook)

Front Cover 1
Electromagnetic Wave Theory, Part 1 4
Copyright Page 5
Symposium Committee 6
Table of Contents 8
Introduction 14
SECTION A: WAVE PROPAGATION 18
CHAPTER 1. WAVE PROPAGATION IN INHOMOGENEOUS MEDIA 18
1. INTRODUCTION 18
2. PARTICULAR ANALYTICAL APPROACHES 19
3. PARTICULAR "PHYSICAL" CONFIGURATIONS 19
4. RELATED PROBLEMS 23
5. SOME OUTSTANDING PROBLEMS 24
REFERENCES 25
CHAPTER 2. 
28 
I. INTRODUCTION 28
II. PLANE BOUNDARY SEPARATING TWO SIMPLE HOMOGENEOUS REGIONS 32
III. BOUNDED REGION SUPPORTING SEVERAL WAVE SPECIES 42
IV. PLANE BOUNDARY SEPARATING TWO HOMOGENEOUS, BUT OTHERWISE ARBITRARY MEDIA 48
V. CONFIGURATIONS WHEREIN THE LATERAL WAVE FIELD IS DOMINANT 49
VI. REFLECTION AND DIFFRACTION OF LATERAL WAVES 52
VII. SPECTRAL CONSIDERATIONS 55
VIII. BEHAVIOR IN TRANSITION REGIONS 58
IX. SUMMARY 59
REFERENCES 60
CHAPTER 3. 
62 
I. INTRODUCTION AND SUMMARY 62
II. WAVE TRANSFORMATION IN A MULTI-MODE, INHOMOGENEOUS MEDIUM 63
III. INTERACTION BETWEEN WHISTLER MODES AND CYCLOTRON WAVES IN AN INFINITELY WIDE, IONIZED MEDIUM 74
REFERENCES 101
CHAPTER 4. 
102 
1. INTRODUCTION 102
2. DISPERSION RELATIONSHIP 103
3. EXAMPLE 105
4. BALANCE EQUATIONS 106
5. CONSERVATIVE WAVES 108
APPENDIX 109
REFERENCES 111
CHAPTER 5. 
112 
SUMMARY 112
CHAPTER 6. 
114 
1. INTRODUCTION 114
2. THE EQUATIONS 114
3. REDUCTION TO HEUN'S EQUATION 115
4. SOLUTION OF HEUN'S EQUATION 118
5. PHYSICAL SIGNIFICANCE OF THE VALUE OF a RELATIVE TO THE OTHER SINGULAR POINTS 118
6. ASYMPTOTIC BEHAVIOUR OF THE SOLUTIONS FOR z. 8 AND z . 8 119
7. SOLUTION FOR 1< a <
8. SOLUTION FOR 0 < a <
REFERENCES 125
CHAPTER 7. 
126 
1. INTRODUCTION 126
2. BASIC FORMULAS 127
3. CYLINDRICAL WAVES 128
4. SPECIAL CASES 128
5. REMARKS ON CYLINDRICAL WAVES 129
6. POSSIBLE APPLICATIONS 130
REFERENCES 131
CHAPTER 8. 
132 
INTRODUCTION 132
ANALYSIS 133
CONCLUSIONS 135
REFERENCES 136
CHAPTER 9. 
138 
SUMMARY 138
REFERENCES 141
CHAPTER 10. TRANSIENTS IN MAGNETO-IONIC MEDIA AND INTERRELATIONS BETWEEN ORDINARY AND EXTRAORDINARY WAVE REPRESENTATIONS 142
1. INTRODUCTION 142
2. TRANSIENT WAVES PROPAGATING ALONG THE DC MAGNETIC FIELD 142
3. EXCITATION OF WAVES BY A CURRENT SOURCE 144
4. INTERFACE BETWEEN FREE SPACE AND A MAGNETO-IONIC MEDIUM 147
5. MODULATED WAVES 148
6. GENERAL CASE OF A TRANSIENT IN MAGNETO-IONIC MEDIA 150
7. CONCLUSION 151
REFERENCES 151
CHAPTER 11. 
152 
1. INTRODUCTION 152
2. FORMULATION OF THE PROBLEM 153
3. THE INTEGRAL REPRESENTATION IN THE CASE OF AN EPSTEIN LAYER 155
4. EVALUATION OF (3.20) FOR A SYMMETRICAL EPSTEIN LAYER 158
REFERENCES 163
CHAPTER 12. 
164 
SUMMARY 164
REFERENCES 167
CHAPTER 13. WAVE-COUPLING IN AN INHOMOGENEOUS ANISOTROPIC MEDIUM 168
SUMMARY 168
REFERENCE 171
CHAPTER 14. 
172 
SUMMARY 172
CHAPTER 15. 
174 
SUMMARY 174
CHAPTER 16. APPLICATIONS DES MICRO-ONDES A L'ÉTUDE DES PLASMAS 176
I. ÉTUDES DE PROPAGATION ET MÉTHODES DE DIAGNOSTIC 176
II. IONISATION ET CHAUFFAGE PAR DES CHAMPS ÉLECTROMAGNÉTIQUES 182
III. ACCÉLÉRATION PAR DES GRADIENTS DE CHAMPS ÉLECTROMAGNÉTIQUE ET MAGNÉTIQUE STATIQUE 183
BIBLIOGRAPHIE 184
CHAPTER 17. PLASMOÏDE ARTIFICIEL PAR DÉCHARGE DE HAUTE FRÉQUENCE FOCALISÉE EN HAUTE ATMOSPHÉRE 186
1. INTRODUCTION 186
2. RAPPEL DE QUELQUES DONNÉES THÉORIQUES–DENSITÉ DE CLAQUAGE 188
3. INFLUENCE DES DIFFÉRENTS PARAMÉTRES 191
4. VÉRIFICATION EXPÉRIMENTALE 193
5. ÉVALUATION DES PROPRIÉTÉS RÉFLÉCHISSANTES 199
6. RAYONNEMENT LUMINEUX 201
7. RAYONNEMENT COHÉRENT EN TRÉS BASSE FRÉQUENCE 202
BIBLIOGRAPHIE 207
CHAPTER 18. 
208 
REFERENCES 210
CHAPTER 19. 
212 
CHAPTER 20. 
214 
INTRODUCTION 214
LIMITING MODES 214
OFF-ANGLE PROPAGATION 215
THE CMA DIAGRAM 215
CROSSOVER FREQUENCIES, RESONANCES AND CUTOFFS 217
IONOSPHERIC APPLICATIONS 218
A USEFUL NOMOGRAM 219
TRANSVERSE PROPAGATION OF WHISTLERS 220
DATA 221
REFERENCES 225
CHAPTER 21. 
228 
INTRODUCTION 228
THEORY 230
EXPERIMENT 231
CONCLUDING REMARKS 232
CHAPTER 22. 
234 
SUMMARY 234
REFERENCES 241
CHAPTER 23. 
242 
CHAPTER 24. 
250 
SUMMARY 250
REFERENCES 252
CHAPTER 25. 
254 
SUMMARY 254
REFERENCES 256
CHAPTER 26. CHAMP PRODUIT A 100 km D'ALTITUDE PAR UN ÉMETTEUR TBF SITUÉ AU SOL 258
RÉSUMÉ 258
ABSTRACT 259
CHAPTER 27. 
262 
1. CONTEXT OF PROBLEM 262
2. CHARACTER OF I' .(d) AS A FUNCTION OF d 263
3. FORM OF COMPLEX RECEIVED WAVE AND COMPLEX INTERFEROMETER FRINGE 264
4. BASIC EQUATION FOR MINIMUM POSITIONS AND CORRECTIONS THERETO 264
SECTION B: WAVE GUIDES 268
CHAPTER 28. 
268 
APPENDIX 274
REFERENCES 277
CHAPTER 29. AN ALTERNATIVE APPROACH TO THE SOLUTION OF A CLASS OF WIENER–HOPF AND RELATED PROBLEMS 278
1. INTRODUCTION 278
2. RADIATION FROM A PARALLEL PLATE WAVEGUIDE 279
3. CONSTRUCTION OF H(w) 286
4. APPLICATION TO OTHER GEOMETRIES 289
REFERENCES 292
CHAPTER 30. 
294 
1. FORMULATION OF THE PROBLEM 294
2. EIGENFUNCTIONS OF THE ELECTRIC FIELD IN A CIRCULAR WAVEGUIDE 295
3. EXPRESSIONS FOR THE TRANSMISSION AND REFLECTION COEFFICIENTS 297
APPENDIX. ASYMPTOTIC EXPANSIONS OF THE EIGENVALUES AS m.8 299
REFERENCES 299
CHAPTER 31. 
300 
SUMMARY 300
REFERENCES 302
CHAPTER 32. 
304 
SUMMARY 304
CHAPTER 33. 
306 
SUMMARY 306
REFERENCES 309
CHAPTER 34. 
310 
SUMMARY 310
CHAPTER 35. 
314 
1. INTRODUCTION 314
2. EVALUATION OF IRIS SUSCEPTANCE 314
3. PROPERTIES OF COMPLEX MODES 316
REFERENCES 319
CHAPTER 36. 
320 
SUMMARY 320
CHAPTER 37. ONDES GUIDÉES DANS UNE COLONNE CYLINDRIQUE DE PLASMA ENTOURÉE DE PLASMA INFINI AUX FRÉQUENCES INFÉRIEURES A LA GYROFRÉQUENCE ÉLECTRONIQUE. MODES A SYMÉTRIE DE RÉVOLUTION 324
ABSTRACT 324
INTRODUCTION 324
1. CONSTANTES DES MILIEUX. FORME EXACTE DU CHAMP 325
2. APPROXIMATION ..> .. = .. DÉFINITION DES VARIABLES x, y, z,
3. VALEUR DES zi DANS LES DIFFÉRENTES RÉGIONS DU PLAN xy 333
4. CLASSIFICATION DES RÉGIONS DU PLAN xy POUR LA RECHERCHE DES SOLUTIONS 336
5. CARACTÉRE FONDAMENTAL DES SOLUTIONS DANS LA RÉGION A. ÉTUDE DES SOLUTIONS DE LA ZONE A 338
6. LA SOLUTION ET LES COURBES AUXILIAIRES DANS LES ZONES A2 ET A3 351
7. LES DIAGRAMMES FRÉQUENCE-INDICE DE GROUPE NORMALISÉS 352
8. FORME DE L'ÉQUATION DE DISPERSION DANS LES RÉGIONS B ET C 357
CONCLUSION 358
BIBLIOGRAPHIE 359
CHAPTER 38. 
360 
INTRODUCTION 360
FAST WAVES 360
SLOW WAVES 361
EXPERIMENTAL RESULTS 363
REFERENCES 365
CHAPTER 39. 
366 
REFERENCES 371
CHAPTER 40. 
374 
I. INTRODUCTION 374
II. THE TRANSFORMATION OF MAXWELL'S EQUATIONS INTO AN INFINITE SYSTEM OF INHOMOGENEOUS ALGEBRAIC EQUATIONS 376
III. EQUIVALENT CIRCUIT OF THE CAVITY SYSTEM 378
IV. SIMPLIFYNG THE EQUIVALENT NETWORK OF THE CAVITY RESONATOR a 383
REFERENCES 384
CHAPTER 41. 
386 
SUMMARY 386
REFERENCE 389
CHAPTER 42. 
390 
1. THE MODEL 390
2. MATHEMATICAL TREATMENT 391
3. NUMERICAL EVALUATION 394
REFERENCES 395
CHAPTER 43. FILTRE A BANDE PASSANTE TRÉS ÉTROITE ACCORDABLE SUR LA BANDE X 396
1. INTRODUCTION 396
2. PRINCIPE DU FILTRE 397
3. PARAMÉTRES DU COUPLAGE ENTRE CAVITÉ ET GRENAT 397
4. CARACTÉRISTIQUES DU FILTRE 400
5. RÉALISATIONS PRATIQUES 403
RÉFÉRENCES 404
SECTION C: OVERMODED AND BEAM WAVEGUIDES: SURFACE WAVES 406
CHAPTER 44. 
406 
REFERENCES 414
CHAPTER 45. A CIRCULAR H0i LOW-LOSS WAVEGUIDE APPLICABLE TO LONG-DISTANC ETELECOMMUNICATIONS 416
REFERENCES 420
APPENDIX A 420
REFERENCES 422
APPENDIX A.1 422
APPENDIX B 422
CHAPTER 46. 
426 
INTRODUCTION 426
1.THE PRINCIPLE OF OPERATION OF A PRISM AT A WAVEGUIDE CORNER. METHOD OF SOLUTION 426
2. THE FIRST POLARIZATION 429
3. THE BASIC WAVE AMPLITUDE 433
4. THE SECOND POLARIZATION 434
CONCLUSIONS 435
REFERENCES 435
CHAPTER 47. 
436 
1. INTRODUCTION 436
2. FUNDAMENTAL DESIGN FACTORS 436
3. FREE SPACE OPTICAL COMMUNICATION SYSTEMS 439
4. OPTICAL WAVEGUIDES 441
5. THE FUTURE OF OPTICAL COMMUNICATION SYSTEMS 453
REFERENCES AND BIBLIOGRAPHY 455
CHAPTER 48. 
458 
1. GENERAL DESCRIPTION 458
2. DIELECTRIC FIBRE WAVEGUIDE 458
3. PHYSICAL LIMITATIONS 458
4. ELECTROMAGNETIC CONDITIONS 460
5. EXPERIMENTAL INVESTIGATIONS 461
CHAPTER 49. 
462 
1. THE DIFFUSION APPROXIMATION IN THE THEORY OF PARAXIAL WAVE BEAMS. AN OPERATOR APPROACH TO THE DESCRIPTION OF QUASI-OPTICAL SYSTEMS 462
2. QUASI-OPTICAL SYSTEMS WITH GAUSSIAN BEAMS 464
3. RESONATORS WITH INTERMEDIATE DIAPHRAGMS 467
4. CONFOCAL RESONATOR WITH INHOMOGENEOUS REFLECTORS 470
5. ON MODE SELECTION IN OPEN RESONATORS 470
REFERENCES 474
CHAPTER 50. 
476 
CHAPTER 51. 
482 
SUMMARY 482
REFERENCES 483
CHAPTER 52. 
484 
1. INTRODUCTION 484
2. MODE-COUPLING EFFECTS 487
3. THE SPECTRAL CHARACTER OF THE COMPLEX WAVES 487
4. BROADSIDE RADIATION 488
5. BACKWARD AND FORWARD ENDFIRE 489
6. OTHER MODE-COUPLING POINTS 491
7. SPACE HARMONIC AMPLITUDES 492
REFERENCES 493
CHAPTER 53. 
494 
SUMMARY 494
CHAPTER 54. 
496 
REFERENCES 500
CHAPTER 55. SUR LES ONDES DE SURFACE EN RÉGIME TRANSITOIRE 502
1. INTRODUCTION 502
2. ONDES PLANES ET SURFACE PLANE 503
3. ONDES DE GOUBAU 504
4. «L'ONDE DE RAYLEIGH» EN ACOUSTIQUE 504
5. LES TRAVAUX DE VAN DER POL ET LEURS CONSÉQUENCES 506
6. LES ONDES DE SURFACE, VUES PAR L.CAGNIARD 510
7. CONCLUSIONS 511
BIBLIOGRAPHIE 512
CHAPTER 56. 
514 
I. INTRODUCTION 514
II. ASYMPTOTIC EXPRESSIONS 516
III. NUMERICAL RESULTS 518
IV. CONCLUDING REMARKS 520
REFERENCES 521
CHAPTER 57. 
522 
INTRODUCTION 522
1. FIRST ORDER EVALUATION OF THE WAVELENGTH ON THE STRUCTURE 523
2. HIGHER ORDER APPROXIMATIONS 525
3. EXPERIMENTAL MEASUREMENTS 529
CONCLUSIONS 531
REFERENCES 531
CHAPTER 58. 
532 
1. INTRODUCTION 532
2. PRELIMINARY REMARKS 533
3. THE EIGENVALUE EQUATION FOR THE TM SURFACE WAVES 533
4. THE EIGENVALUE EQUATION FOR THE TM MODE IN THE COAXIAL WAVEGUIDE 535
5. FORMULATION AND SOLUTION OF THE EXCITATION PROBLEM 535
APPENDIX A. FACTORIZATION OF THE KERNEL FUNCTION 540
APPENDIX B. LIMITS OF THE PROPAGATION CONSTANT B 541
APPENDIX C. THE NORMALIZATION FACTOR 542
REFERENCES 542
CHAPTER 59. 
544 
SUMMARY 544
CHAPTER 60. 
548 
1. INTRODUCTION 548
2. DERIVATION OF THE RADIAL BEAM MODE SYSTEM 548
3. POWER ORTHOGONALITY 551
4. ASYMPTOTIC FIELDS OF THE MODES 551
5. MODES IN RING RESONATORS 552
CHAPTER 61. 
556 
SUMMARY 556
REFERENCES 558