Electromagnetic radiation: variational methods, waveguides and accelerators
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin ; Heidelberg ; New York
Springer
2006
|
| Edition: | [Study ed.] |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | XVI, 360 S. graph. Darst. 24 cm |
| ISBN: | 9783540293040 3540293043 |
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Record in the Search Index
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| adam_text | KIMBALL A. MILTON J. SCHWINGER ELECTROMAGNETIC RADIATION: VARIATIONAL
METHODS, WAVEGUIDES AND ACCELERATORS 4Y SPRINGER CONTENTS MAXWELL S
EQUATIONS 1 1.1 MICROSCOPIC ELECTRODYNAMICS 1 1.1.1 MICROSCOPIC CHARGES
2 1.1.2 THE FIELD EQUATIONS 4 1.2 VARIATIONAL PRINCIPLE 9 1.3
CONSERVATION THEOREMS 12 1.4 DELTA FUNCTION 15 1.5 RADIATION FIELDS 16
1.5.1 MULTIPOLE RADIATION 21 1.5.2 WORK DONE BY CHARGES 29 1.6
MACROSCOPIC FIELDS 32 1.7 PROBLEMS FOR CHAP. 1 34 SPHERICAL HARMONICS 43
2.1 CONNECTION TO BESSEL FUNCTIONS 43 2.2 MULTIPOLE HARMONICS 48 2.3
SPHERICAL HARMONICS 51 2.4 MULTIPOLE INTERACTIONS 57 2.5 PROBLEMS FOR
CHAP. 2 61 RELATIVISTIC TRANSFORMATIONS 63 3.1 FOUR-DIMENSIONAL NOTATION
63 3.2 FIELD TRANSFORMATIONS 68 3.3 PROBLEMS FOR CHAP. 3 70 VARIATIONAL
PRINCIPLES FOR HARMONIC TIME DEPENDENCE .... 79 4.1 VARIATIONAL
PRINCIPLES 80 4.2 BOUNDARY CONDITIONS 84 4.3 BABINET S PRINCIPLE 89 4.4
RECIPROCITY THEOREMS 91 4.5 PROBLEMS FOR CHAP. 4 92 XIV CONTENTS 5
TRANSMISSION LINES 95 5.1 DISSIPATIONLESS LINE 95 5.2 RESISTIVE LOSSES
98 5.3 EXAMPLE: COAXIAL LINE 99 5.4 CUTOFF FREQUENCIES 100 5.5 PROBLEMS
FOR CHAP. 5 101 6 WAVEGUIDES AND EQUIVALENT TRANSMISSION LINES 103 6.1
TRANSMISSION LINE FORMULATION 103 6.2 HERTZ VEFCTORS 112 6.3
ORTHONORMALITY RELATIONS 113 6.4 ENERGY DENSITY AND FLUX 115 6.5
IMPEDANCE DEFINITIONS 118 6.6 COMPLEX POYNTING AND ENERGY THEOREMS 121
6.7 PROBLEMS FOR CHAP. 6 127 7 RECTANGULAR AND TRIANGULAR WAVEGUIDES 133
7.1 RECTANGULAR WAVEGUIDE 133 7.2 ISOSCELES RIGHT TRIANGULAR WAVEGUIDE
141 7.3 EQUILATERAL TRIANGULAR WAVEGUIDE 143 7.4 PROBLEMS FOR CHAP. 7
152 8 CIRCULAR CROSS SECTION 153 8.1 CYLINDER FUNCTIONS 154 8.2 CIRCULAR
GUIDE 158 8.3 CIRCULAR GUIDE WITH METALLIC CYLINDRICAL WEDGE 163 8.4
COAXIAL GUIDE 165 8.5 COAXIAL GUIDE WITH METALLIC CYLINDRICAL WEDGE 167
8.6 ELLIPTIC AND PARABOLIC CYLINDER COORDINATES 169 8.7 PROBLEMS FOR
CHAP. 8 174 9 REFLECTION AND REFRACTION 179 9.1 PROBLEMS FOR CHAP. 9 182
10 VARIATIONAL METHODS 185 10.1 VARIATIONAL PRINCIPLES 185 10.2
RAYLEIGH S PRINCIPLE 188 10.3 PROOF OF COMPLETENESS 195 10.4
VARIATION-ITERATION METHOD 200 10.4.1 ERROR ESTIMATES 206 10.5 PROBLEMS
FOR CHAP. 10 210 CONTENTS XV 11 EXAMPLES OF VARIATIONAL CALCULATIONS FOR
CIRCULAR GUIDE 213 11.1 E MODES 213 11.1.1 BOUNDS ON SECOND EIGENVALUE
217 11.2 H MODES 223 11.3 PROBLEMS FOR CHAP. 11 225 12 STEADY CURRENTS
AND DISSIPATION 227 12.1 VARIATIONAL PRINCIPLES FOR CURRENT 227 12.2
GREEN S FUNCTIONS 231 12.3 PROBLEMS FOR CHAP. 12 234 13 THE IMPEDANCE
CONCEPT IN WAVEGUIDES 235 13.1 WAVEGUIDES AND EQUIVALENT TRANSMISSION
LINES 235 13.2 GEOMETRICAL DISCONTINUITIES AND EQUIVALENT CIRCUITS 236
13.2.1 S-MATRIX 236 13.3 NORMAL MODES 240 13.3.1 SHIFT OF REFERENCE
POINT 242 13.3.2 LUMPED NETWORK DESCRIPTION 244 13.3.3 ENERGY 248 13.4
VARIATIONAL PRINCIPLE 249 13.5 BIFURCATED GUIDE 251 13.6 IMPERFECT
CONDUCTING WALLS 256 13.7 CONCLUSION 260 13.8 PROBLEMS FOR CHAP. 13 260
14 ACCELERATORS: MICROTRONS AND SYNCHROTRONS 263 14.1 THE MICROTRON 263
14.1.1 CAVITY RESONATORS 264 14.1.2 ELEMENTARY THEORY 267 14.1.3
VERTICAL DEFOCUSING 268 14.1.4 RADIATION LOSSES 269 14.1.5 PHASE
FOCUSING 270 14.2 EXCITATION OF A CAVITY BY ELECTRONS 271 14.3 MICROWAVE
SYNCHROTRON 275 14.3.1 ACCELERATING CAVITIES 275 14.3.2 MOTION OF
ELECTRON 275 14.3.3 BETATRON REGIME: S O = 0, 2 0 = 2IRR 2 H 0 (T) 277
14.3.4 BETATRON REGIME AND CONSTANT H O 278 14.4 MODERN DEVELOPMENTS 279
14.5 PROBLEMS FOR CHAP. 14 279 XVI CONTENTS 15 SYNCHROTRON RADIATION 281
15.1 RELATIVISTIC LARMOR FORMULA 281 15.2 ENERGY LOSS BY A SYNCHROTRON
283 15.3 SPECTRUM OF RADIATION EMITTED BY SYNCHROTRON 284 15.4 ANGULAR
DISTRIBUTION OF RADIATED POWER 288 15.5 HISTORICAL NOTE 292 15.6
PROBLEMS FOR CHAP. 15 293 16 DIFFRACTION 295 16.1 VARIATIOTIAL PRINCIPLE
FOR SCATTERING 295 16.2 SCATTERING BY A STRIP 298 16.2.1 NORMAL
INCIDENCE 298 16.2.2 GRAZING INCIDENCE 301 16.2.3 GENERAL INCIDENT ANGLE
304 16.3 DIFFRACTION BY A SLIT 307 16.3.1 APPROXIMATE FIELD 312 16.3.2
TRANSFORM OF SCATTERED FIELD 312 16.3.3 DIFFERENTIAL CROSS SECTION 313
16.3.4 FIRST APPROXIMATION 314 16.3.5 EXACT ELECTRIC FIELD 318 16.3.6
APPROXIMATE SURFACE CURRENT 320 16.4 PROBLEMS FOR CHAP. 16 324 17
QUANTUM LIMITATIONS ON MICROWAVE OSCILLATORS 32 9 17.1 INTRODUCTION 329
17.2 COHERENT STATES 329 17.3 HARMONIC OSCILLATOR 334 17.4 FREE PARTICLE
336 17.5 ELECTRON INTERACTING WITH AN OSCILLATOR 338 17.5.1 EXTREME
QUANTUM LIMIT 343 17.5.2 CORRELATIONS 345 17.6 PROBLEMS FOR CHAP. 17 346
APPENDIX ELECTROMAGNETIC UNITS 347 REFERENCES 351 INDEX 353
|
| adam_txt |
KIMBALL A. MILTON J. SCHWINGER ELECTROMAGNETIC RADIATION: VARIATIONAL
METHODS, WAVEGUIDES AND ACCELERATORS 4Y SPRINGER CONTENTS MAXWELL'S
EQUATIONS 1 1.1 MICROSCOPIC ELECTRODYNAMICS 1 1.1.1 MICROSCOPIC CHARGES
2 1.1.2 THE FIELD EQUATIONS 4 1.2 VARIATIONAL PRINCIPLE 9 1.3
CONSERVATION THEOREMS 12 1.4 DELTA FUNCTION 15 1.5 RADIATION FIELDS 16
1.5.1 MULTIPOLE RADIATION 21 1.5.2 WORK DONE BY CHARGES 29 1.6
MACROSCOPIC FIELDS 32 1.7 PROBLEMS FOR CHAP. 1 34 SPHERICAL HARMONICS 43
2.1 CONNECTION TO BESSEL FUNCTIONS 43 2.2 MULTIPOLE HARMONICS 48 2.3
SPHERICAL HARMONICS 51 2.4 MULTIPOLE INTERACTIONS 57 2.5 PROBLEMS FOR
CHAP. 2 61 RELATIVISTIC TRANSFORMATIONS 63 3.1 FOUR-DIMENSIONAL NOTATION
63 3.2 FIELD TRANSFORMATIONS 68 3.3 PROBLEMS FOR CHAP. 3 70 VARIATIONAL
PRINCIPLES FOR HARMONIC TIME DEPENDENCE . 79 4.1 VARIATIONAL
PRINCIPLES 80 4.2 BOUNDARY CONDITIONS 84 4.3 BABINET'S PRINCIPLE 89 4.4
RECIPROCITY THEOREMS 91 4.5 PROBLEMS FOR CHAP. 4 92 XIV CONTENTS 5
TRANSMISSION LINES 95 5.1 DISSIPATIONLESS LINE 95 5.2 RESISTIVE LOSSES
98 5.3 EXAMPLE: COAXIAL LINE 99 5.4 CUTOFF FREQUENCIES 100 5.5 PROBLEMS
FOR CHAP. 5 101 6 WAVEGUIDES AND EQUIVALENT TRANSMISSION LINES 103 6.1
TRANSMISSION LINE FORMULATION 103 6.2 HERTZ VEFCTORS 112 6.3
ORTHONORMALITY RELATIONS 113 6.4 ENERGY DENSITY AND FLUX 115 6.5
IMPEDANCE DEFINITIONS 118 6.6 COMPLEX POYNTING AND ENERGY THEOREMS 121
6.7 PROBLEMS FOR CHAP. 6 127 7 RECTANGULAR AND TRIANGULAR WAVEGUIDES 133
7.1 RECTANGULAR WAVEGUIDE 133 7.2 ISOSCELES RIGHT TRIANGULAR WAVEGUIDE
141 7.3 EQUILATERAL TRIANGULAR WAVEGUIDE 143 7.4 PROBLEMS FOR CHAP. 7
152 8 CIRCULAR CROSS SECTION 153 8.1 CYLINDER FUNCTIONS 154 8.2 CIRCULAR
GUIDE 158 8.3 CIRCULAR GUIDE WITH METALLIC CYLINDRICAL WEDGE 163 8.4
COAXIAL GUIDE 165 8.5 COAXIAL GUIDE WITH METALLIC CYLINDRICAL WEDGE 167
8.6 ELLIPTIC AND PARABOLIC CYLINDER COORDINATES 169 8.7 PROBLEMS FOR
CHAP. 8 174 9 REFLECTION AND REFRACTION 179 9.1 PROBLEMS FOR CHAP. 9 182
10 VARIATIONAL METHODS 185 10.1 VARIATIONAL PRINCIPLES 185 10.2
RAYLEIGH'S PRINCIPLE 188 10.3 PROOF OF COMPLETENESS 195 10.4
VARIATION-ITERATION METHOD 200 10.4.1 ERROR ESTIMATES 206 10.5 PROBLEMS
FOR CHAP. 10 210 CONTENTS XV 11 EXAMPLES OF VARIATIONAL CALCULATIONS FOR
CIRCULAR GUIDE 213 11.1 E MODES 213 11.1.1 BOUNDS ON SECOND EIGENVALUE
217 11.2 H MODES 223 11.3 PROBLEMS FOR CHAP. 11 225 12 STEADY CURRENTS
AND DISSIPATION 227 12.1 VARIATIONAL PRINCIPLES FOR CURRENT 227 12.2
GREEN'S FUNCTIONS 231 12.3 PROBLEMS FOR CHAP. 12 234 13 THE IMPEDANCE
CONCEPT IN WAVEGUIDES 235 13.1 WAVEGUIDES AND EQUIVALENT TRANSMISSION
LINES 235 13.2 GEOMETRICAL DISCONTINUITIES AND EQUIVALENT CIRCUITS 236
13.2.1 S-MATRIX 236 13.3 NORMAL MODES 240 13.3.1 SHIFT OF REFERENCE
POINT 242 13.3.2 LUMPED NETWORK DESCRIPTION 244 13.3.3 ENERGY 248 13.4
VARIATIONAL PRINCIPLE 249 13.5 BIFURCATED GUIDE 251 13.6 IMPERFECT
CONDUCTING WALLS 256 13.7 CONCLUSION 260 13.8 PROBLEMS FOR CHAP. 13 260
14 ACCELERATORS: MICROTRONS AND SYNCHROTRONS 263 14.1 THE MICROTRON 263
14.1.1 CAVITY RESONATORS 264 14.1.2 ELEMENTARY THEORY 267 14.1.3
VERTICAL DEFOCUSING 268 14.1.4 RADIATION LOSSES 269 14.1.5 PHASE
FOCUSING 270 14.2 EXCITATION OF A CAVITY BY ELECTRONS 271 14.3 MICROWAVE
SYNCHROTRON 275 14.3.1 ACCELERATING CAVITIES 275 14.3.2 MOTION OF
ELECTRON 275 14.3.3 BETATRON REGIME: S O = 0, 2 0 = 2IRR 2 H 0 (T) 277
14.3.4 BETATRON REGIME AND CONSTANT H O 278 14.4 MODERN DEVELOPMENTS 279
14.5 PROBLEMS FOR CHAP. 14 279 XVI CONTENTS 15 SYNCHROTRON RADIATION 281
15.1 RELATIVISTIC LARMOR FORMULA 281 15.2 ENERGY LOSS BY A SYNCHROTRON
283 15.3 SPECTRUM OF RADIATION EMITTED BY SYNCHROTRON 284 15.4 ANGULAR
DISTRIBUTION OF RADIATED POWER 288 15.5 HISTORICAL NOTE 292 15.6
PROBLEMS FOR CHAP. 15 293 16 DIFFRACTION 295 16.1 VARIATIOTIAL PRINCIPLE
FOR SCATTERING 295 16.2 SCATTERING BY A STRIP 298 16.2.1 NORMAL
INCIDENCE 298 16.2.2 GRAZING INCIDENCE 301 16.2.3 GENERAL INCIDENT ANGLE
304 16.3 DIFFRACTION BY A SLIT 307 16.3.1 APPROXIMATE FIELD 312 16.3.2
TRANSFORM OF SCATTERED FIELD 312 16.3.3 DIFFERENTIAL CROSS SECTION 313
16.3.4 FIRST APPROXIMATION 314 16.3.5 EXACT ELECTRIC FIELD 318 16.3.6
APPROXIMATE SURFACE CURRENT 320 16.4 PROBLEMS FOR CHAP. 16 324 17
QUANTUM LIMITATIONS ON MICROWAVE OSCILLATORS 32 9 17.1 INTRODUCTION 329
17.2 COHERENT STATES 329 17.3 HARMONIC OSCILLATOR 334 17.4 FREE PARTICLE
336 17.5 ELECTRON INTERACTING WITH AN OSCILLATOR 338 17.5.1 EXTREME
QUANTUM LIMIT 343 17.5.2 CORRELATIONS 345 17.6 PROBLEMS FOR CHAP. 17 346
APPENDIX ELECTROMAGNETIC UNITS 347 REFERENCES 351 INDEX 353 |
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| id | DE-604.BV021799071 |
| illustrated | Illustrated |
| index_date | 2024-07-02T15:47:12Z |
| indexdate | 2024-07-09T20:44:53Z |
| institution | BVB |
| isbn | 9783540293040 3540293043 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015011608 |
| oclc_num | 181479543 |
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| owner_facet | DE-92 DE-11 |
| physical | XVI, 360 S. graph. Darst. 24 cm |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Springer |
| record_format | marc |
| spelling | Milton, Kimball A. 1944- Verfasser (DE-588)110818075 aut Electromagnetic radiation variational methods, waveguides and accelerators Kimball A. Milton ; J. Schwinger [Study ed.] Berlin ; Heidelberg ; New York Springer 2006 XVI, 360 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Literaturangaben Elektromagnetische Strahlung (DE-588)4014297-8 gnd rswk-swf Elektromagnetische Strahlung (DE-588)4014297-8 s DE-604 Schwinger, Julian 1918-1994 Verfasser (DE-588)119206250 aut text/html http://deposit.dnb.de/cgi-bin/dokserv?id=2681083&prov=M&dok_var=1&dok_ext=htm Inhaltstext HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015011608&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Milton, Kimball A. 1944- Schwinger, Julian 1918-1994 Electromagnetic radiation variational methods, waveguides and accelerators Elektromagnetische Strahlung (DE-588)4014297-8 gnd |
| subject_GND | (DE-588)4014297-8 |
| title | Electromagnetic radiation variational methods, waveguides and accelerators |
| title_auth | Electromagnetic radiation variational methods, waveguides and accelerators |
| title_exact_search | Electromagnetic radiation variational methods, waveguides and accelerators |
| title_exact_search_txtP | Electromagnetic radiation variational methods, waveguides and accelerators |
| title_full | Electromagnetic radiation variational methods, waveguides and accelerators Kimball A. Milton ; J. Schwinger |
| title_fullStr | Electromagnetic radiation variational methods, waveguides and accelerators Kimball A. Milton ; J. Schwinger |
| title_full_unstemmed | Electromagnetic radiation variational methods, waveguides and accelerators Kimball A. Milton ; J. Schwinger |
| title_short | Electromagnetic radiation |
| title_sort | electromagnetic radiation variational methods waveguides and accelerators |
| title_sub | variational methods, waveguides and accelerators |
| topic | Elektromagnetische Strahlung (DE-588)4014297-8 gnd |
| topic_facet | Elektromagnetische Strahlung |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=2681083&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015011608&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT miltonkimballa electromagneticradiationvariationalmethodswaveguidesandaccelerators AT schwingerjulian electromagneticradiationvariationalmethodswaveguidesandaccelerators |