Generalized Lorenz-Mie theories:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2011
|
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | XXXVII, 308 S. Ill., graph. Darst. |
| ISBN: | 9783642171932 |
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Record in the Search Index
| _version_ | 1805096448731119616 |
|---|---|
| adam_text |
IMAGE 1
CONTENTS
I BACKGROUND IN MAXWELL'S ELECTROMAGNETISM AND MAXWELL'S EQUATIONS 1
1.1 GENERAL MAXWELL'S EQUATIONS IN CARTESIAN COORDINATES 1
1.1.1 MAXWELL'S EQUATIONS IN FREE SPACE 2
1.1.2 MAXWELL'S EQUATIONS IN MATTER 3
1.1.3 BOUNDARY CONDITIONS 5
1.1.4 CONSTITUTIVE RELATIONSHIPS 6
1.1.5 THE FORMULATION IN FOURIER SPACE 8
1.1.6 TIME HARMONIC FIELDS AND COMPLEX REPRESENTATIVES 10
1.2 SPECIAL MAXWELL'S EQUATIONS FOR L.L.H.I MEDIA 11
1.2.1 SPECIAL MAXWELL'S EQUATIONS IN CARTESIAN COORDINATE SYSTEMS 12
1.2.2 SPECIAL MAXWELL'S EQUATIONS IN ORTHOGONAL CURVILINEAR COORDINATE
SYSTEMS 12
1.2.3 SPECIAL MAXWELL'S EQUATIONS IN SPHERICAL COORDINATE SYSTEMS 13
1.2.4 BOUNDARY CONDITIONS 14
1.2.5 ENERGY PROPAGATION AND POYNTING THEOREM 15
1.2.6 MOMENTUM PROPAGATION 17
1.2.7 WAVE-VECTOR, REFRACTIVE INDEX AND IMPEDANCE 18
1.2.8 POTENTIALS 21
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1007589612
DIGITALISIERT DURCH
IMAGE 2
VI CONTENTS
II RESOLUTION OF SPECIAL MAXWELL'S EQUATIONS 23
II. 1 SPECIAL ORTHOGONAL CURVILINEAR COORDINATE SYSTEMS AND SEPARABILITY
23
11.2 BROMWICH POTENTIALS 24
11.2.1 GENERALITIES 24
11.2.2 TRANSVERSE MAGNETIC WAVE 25
11.2.3 TRANSVERSE ELECTRIC WAVE 28
11.3 EXPLICIT TIME HARMONIC DEPENDENCE 29
II .4 USE OF SPHERICAL COORDINATE SYSTEMS 30
II.5 BSP-SOLUTIONS 31
11.5.1 REDUCTION TO ORDINARY DIFFERENTIAL EQUATIONS 31
11.5.2 HARMONIC EQUATION 32
11.5.3 ASSOCIATED LEGENDRE EQUATION 33
11.5.4 SPHERICAL BESSEL EQUATION 34
11.5.5 GENERAL EXPRESSIONS FOR BSPS 35
III GENERALIZED LORENZ-MIE THEORY IN THE STRICT SENSE, AND OTHER GLMTS
37
111.1 THE SCATTERING PROBLEM AND GLOBAL STRATEGY 37
111.2 BSPS FOR THE INCIDENT WAVE 39
111.3 QUADRATURES TO EVALUATE BSCS G* 40
111.3.1 THE FIRST METHOD TO DERIVE QUADRATURE EXPRESSIONS 40
111.3.2 THE SECOND METHOD TO DERIVE QUADRATURE EXPRESSIONS 45
111.3.3 OTHER APPROACHES 46
111.4 BSPS FOR SCATTERED AND SPHERE WAVES 50
111.5 EXPANSIONS OF FIELD COMPONENTS 51
111.6 BOUNDARY CONDITIONS AND GENERALIZED SCATTERING COEFFICIENTS 55
111.7 SCATTERED FIELD COMPONENTS 57
111. 8 SCATTERED FIELD COMPONENTS IN THE FAR FIELD REGION . . . 58
111.9 SCATTERED INTENSITIES 59
111.10 PHASE ANGLE 60
111.11 RADIATIVE ENERGY BALANCE AND ASSOCIATED CROSS-SECTIONS 61
111.11.1 GENERALITIES 61
111.11.2 INCIDENT FIELD BALANCE 62
III. 11.3 SCATTERING CROSS-SECTION C SCA 64
III.11.4 EXTINCTION CROSS-SECTION C EXT 64
III. 12 MOMENTUM BALANCE AND RADIATION PRESSURE 66
III.12.1 GENERALITIES 66
IMAGE 3
CONTENTS VII
III. 12.2 LONGITUDINAL RADIATION PRESSURE (Z-DIRECTION) 67
III.12.3 TRANSVERSE RADIATION PRESSURE (X AND Y DIRECTIONS) 70
111.13 EFFICIENCY FACTORS 75
111.14 COMPLEMENT, OTHER GLMTS 76
IV GAUSSIAN BEAMS AND OTHER BEAMS 89
IV. 1 GAUSSIAN BEAM DESCRIPTION 90
IV.1.1 THE SOLVING PARADOX 90
IV.1.2 ELEMENTARY DESCRIPTION 92
IV.1.3 HISTORICAL 93
IV.1.4 DAVIS FORMULATION 94
IV. 1.5 THE ORDER L OF APPROXIMATION 96
IV. 1.6 THE ORDER L~ OF APPROXIMATION 96
IV.1.7 KOGELNIK'S MODEL 98
IV.1.8 INACCURACIES AT ORDERS L AND L~ 99
IV.2 GLMT AT ORDERS L AND L" 102
IV.2.1 RADIAL FIELD COMPONENTS E R AND H R 102
IV.2.2 BEAM SHAPE COEFFICIENTS 105
IV.3 NUMERICAL COMPUTATIONS OF BEAM SHAPE COEFFICIENTS BY USING
QUADRATURES 108
IV.4 OTHER BEAMS 108
V FINITE SERIES 117
V.I THE GENERAL PROCEDURE 117
V.2 THE NET PROCEDURE FOR GAUSSIAN BEAMS 120
V.2.1 BASIC RELATIONS 120
V.2.2 BSCS G* TM , N AND M EVEN 124
V.2.3 OTHER BSCS G* TM 130
V.2.4 BSCS G* TB .' 135
V.3 NUMERICAL COMPUTATIONS OF BSCS BY USING FINITE SERIES 136
V.3.1 DIMENSIONLESS FORMULATION 136
V.3.2 FORMULAE MODIFICATIONS FOR PROGRAMMING. 137
VI SPECIAL CASES OF AXISYMMETRIC AND GAUSSIAN BEAMS 139 VI. 1
AXISYMMETRIC BEAMS 139
VI.2 THE LSC-DECOMPOSITION AND GAUSSIAN-LIKE BEAMS 141 VI.3 AXIS
LOCATION IN A GAUSSIAN BEAM 145
VI.4 LORENZ-MIE THEORY 150
VI.5 A THEOREM FOR THE SPECIAL BSCS 153
IMAGE 4
VIII CONTENTS
VI.6 NUMERICAL COMPUTATIONS OF SPECIAL BSCS BY USING QUADRATURES 155
VI.6.1 COMPUTER PROGRAMS 155
VI.6.2 MORE ON THE PLANE WAVE CASE 156
VI.6.3 NUMERICAL BEHAVIOUR OF QUADRATURES 157 VI.7 COMPUTATIONS OF
SPECIAL BSCS BY USING FINITE SERIES . . 161 VI.7.1 THE FORMULATION 161
VI.7.2 ROUTINES 165
VII THE LOCALIZED APPROXIMATION AND LOCALIZED BEAM MODELS 169
VII.L GENERALITIES 169
VII.2 THE WAIST CENTER LOCATION CASE 171
VII.2.1 THE PRINCIPLE OF LOCALIZATION 171
VII.2.2 SPECIAL BSCS 171
VII.2.3 NUMERICAL EVIDENCE OF VALIDITY 172
VII.2.4 PHYSICAL EVIDENCE OF VALIDITY 174
VII.2.5 DIFFERENCE OF BEHAVIOUR BETWEEN RIGOROUS METHODS AND LOCALIZED
APPROXIMATION 175 VII.3 AXIS LOCATION CASE ' 176
VII.4 ARBITRARY LOCATION 181
VII.4.1 A WELL POSED PROBLEM 181
VII.4.2 BSCS G+ X AND G' 1 FOR AXIS LOCATION 182
VII.4.3 BSCS G* FOR ARBITRARY LOCATION: FIRST ATTEMPT 185
VII.4.4 FINAL GENERALIZATION 189
VII.4.5 IMPROVED FORMULATION AND ROUTINES 190 VII.4.6 EXAMPLES OF
RESULTS 191
VII.5 COMPLEMENT ON THE LOCALIZED APPROXIMATION 191 VII.6 COMPLEMENT ON
THE EVALUATION OF BEAM SHAPE COEFFICIENTS 195
VIII APPLICATIONS, AND MISCELLANEOUS ISSUES 199
VIII.0.1 MEASUREMENT TECHNIQUES 199
VIII.0.2 INTERNAL FIELDS AND MORPHOLOGY-DEPENDENT-RESONANCES 211
VIII.0.3 MECHANICAL EFFECTS 214
VIII.0.4 MULTIPLE SCATTERING 227
VIII.0.5 MISCELLANEOUS TOPICS 228
IMAGE 5
CONTENTS IX
IX CONCLUSION 231
A EVALUATION OF QUADRATURES, REIS (III.130) AND (III.131) 233
B EVALUATION OF QUADRADURES, REIS (III.151) AND (III.152) 235
C EVALUATION OF QUADRATURES, REIS (III.169) AND (III.170) 237
D TO REDUCE THE DOUBLE SUMMATIONS OF CHAPTER IV TO
SINGLE SUMMATIONS 241
E USEFUL RELATIONS TO DERIVE THE BSCS OF CHAPTER IV 245
F COMPUTER PROGRAMS 247 |
| any_adam_object | 1 |
| author | Gouesbet, Gérard Gréhan, Gérard |
| author_GND | (DE-588)143588516 (DE-588)143588524 |
| author_facet | Gouesbet, Gérard Gréhan, Gérard |
| author_role | aut aut |
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| bvnumber | BV039151256 |
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| ctrlnum | (OCoLC)712460566 (DE-599)DNB1007589612 |
| dewey-full | 535.43 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 535 - Light and related radiation |
| dewey-raw | 535.43 |
| dewey-search | 535.43 |
| dewey-sort | 3535.43 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| institution | BVB |
| isbn | 9783642171932 |
| language | English |
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| spelling | Gouesbet, Gérard Verfasser (DE-588)143588516 aut Generalized Lorenz-Mie theories Gérard Gouesbet and Gérard Gréhan Berlin [u.a.] Springer 2011 XXXVII, 308 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturangaben Mie-Streuung (DE-588)4365811-8 gnd rswk-swf Mie-Streuung (DE-588)4365811-8 s DE-604 Gréhan, Gérard Verfasser (DE-588)143588524 aut Erscheint auch als Online-Ausgabe Generalized Lorenz-Mie Theories X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3549165&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024169038&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gouesbet, Gérard Gréhan, Gérard Generalized Lorenz-Mie theories Mie-Streuung (DE-588)4365811-8 gnd |
| subject_GND | (DE-588)4365811-8 |
| title | Generalized Lorenz-Mie theories |
| title_auth | Generalized Lorenz-Mie theories |
| title_exact_search | Generalized Lorenz-Mie theories |
| title_full | Generalized Lorenz-Mie theories Gérard Gouesbet and Gérard Gréhan |
| title_fullStr | Generalized Lorenz-Mie theories Gérard Gouesbet and Gérard Gréhan |
| title_full_unstemmed | Generalized Lorenz-Mie theories Gérard Gouesbet and Gérard Gréhan |
| title_short | Generalized Lorenz-Mie theories |
| title_sort | generalized lorenz mie theories |
| topic | Mie-Streuung (DE-588)4365811-8 gnd |
| topic_facet | Mie-Streuung |
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