Electromagnetic wave scattering on nonspherical particles: basic methodology and simulations ; [CD-ROM included]
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Heidelberg
Springer
2009
|
| Schriftenreihe: | Springer series in optical sciences
145 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 292 S. graph. Darst. 24 cm 1 CD-ROM |
| ISBN: | 9783642007033 |
Internformat
MARC
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| 245 | 1 | 0 | |a Electromagnetic wave scattering on nonspherical particles |b basic methodology and simulations ; [CD-ROM included] |c Tom Rother |
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Datensatz im Suchindex
| _version_ | 1804141064801484800 |
|---|---|
| adam_text | 2.5.2 THE FREE-SPACE GREEN FUNCTION 59 CONTENTS SCATTERING AS A BOUNDARY
VALUE PROBLEM 1 1.1 INTRODUCTION 1 1.2 FORMULATION OF THE BOUNDARY VALUE
PROBLEMS 5 1.3 SOLVING THE BOUNDARY VALUE PROBLEMS WITH THE RAYLEIGH
METHOD 8 1.3.1 THE OUTER DIRICHLET PROBLEM 10 1.3.2 THE OUTER
TRANSMISSION PROBLEM 12 FILLING THE MATHEMATICAL TOOL BOX 17 2.1
INTRODUCTION 17 2.2 APPROXIMATION OF FUNCTIONS AND FIELDS AT THE
SCATTERER SURFACE 18 2.2.1 APPROXIMATION BY FINITE SERIES EXPANSIONS 19
2.2.2 BEST APPROXIMATION 21 2.2.3 THE TRANSFORMATION CHARACTER OF THE
T-MATRIX 24 2.3 EIGENSOLUTIONS OF THE SCALAR HELMHOLTZ EQUATION IN
SPHERICAL COORDINATES 29 2.3.1 THE EIGENSOLUTIONS 30 2.3.2 THE COMBINED
SUMMATION INDEX 36 2.3.3 PROPERTIES OF THE SCALAR EIGENSOLUTIONS 36
2.3.4 EXPANSION OF A SCALAR PLANE WAVE 38 2.4 EIGENSOLUTIONS OF THE
VECTOR-WAVE EQUATION IN SPHERICAL COORDINATES 41 2.4.1 THE VECTORIAL
EIGENSOLUTIONS 41 2.4.2 PROPERTIES OF THE VECTORIAL EIGENSOLUTIONS 46
2.4.3 EXPANSION OF A LINEARLY POLARIZED PLANE WAVE 51 2.5 GREEN THEOREMS
AND GREEN FUNCTIONS RELATED TO THE SCALAR BOUNDARY VALUE PROBLEMS 57
2.5.1 THE GREEN THEOREMS 58 BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/993291473 DIGITALISIERT DURCH XII CONTENTS 2.5.3 THE
GREEN FUNCTIONS RELATED TO THE OUTER DIRICHLET AND TRANSMISSION PROBLEM
65 2.6 GREEN THEOREMS AND GREEN FUNCTIONS RELATED TO THE VECTORIAL
BOUNDARY VALUE PROBLEMS 67 2.6.1 DYADICS 67 2.6.2 THE GREEN THEOREMS 70
2.6.3 THE DYADIC FREE-SPACE GREEN FUNCTION 71 2.6.4 THE DYADIC GREEN
FUNCTIONS RELATED TO THE OUTER DIRICHLET AND TRANSMISSION PROBLEM 74 3
FIRST APPROACH TO THE GREEN FUNCTIONS: THE RAYLEIGH METHOD 77 3.1
INTRODUCTION 77 3.2 THE SCALAR DELTA DISTRIBUTION AT THE SCATTERER
SURFACE 79 3.3 THE SCALAR GREEN FUNCTIONS RELATED TO THE HELMHOLTZ
EQUATION 79 3.3.1 THE OUTER DIRICHLET PROBLEM 79 3.3.2 THE OUTER
TRANSMISSION PROBLEM 87 3.4 THE DYADIC DELTA DISTRIBUTION AT THE
SCATTERER SURFACE 89 3.5 THE DYADIC GREEN FUNCTIONS RELATED TO THE
VECTOR-WAVE EQUATION 91 3.5.1 THE OUTER DIRICHLET PROBLEM 91 3.5.2 THE
OUTER TRANSMISSION PROBLEM 97 4 SECOND APPROACH TO THE GREEN FUNCTIONS:
THE SELF-CONSISTENT WAY 99 4.1 INTRODUCTION 99 4.2 THE SCALAR GREEN
FUNCTIONS RELATED TO THE HELMHOLTZ EQUATION 100 4.2.1 THE OUTER
DIRICHLET PROBLEM 100 4.2.2 THE OUTER TRANSMISSION PROBLEM 103 4.3 THE
DYADIC GREEN FUNCTIONS RELATED TO THE VECTOR-WAVE EQUATION 105 4.3.1 THE
OUTER DIRICHLET PROBLEM 105 4.3.2 THE OUTER TRANSMISSION PROBLEM 107 4.
CONTENTS XIII 5.3 THE METHOD OF LINES AS A SPECIAL FINITE-DIFFERENCE
METHOD ... 131 5.3.1 DISCRETIZATION OF THE SCALAR HELMHOLTZ EQUATION AND
ITS SOLUTION 132 5.3.2 THE LIMITING BEHAVIOR OF THE METHOD OF LINES 141
5.4 INTEGRAL EQUATION METHODS 146 5.4.1 BOUNDARY INTEGRAL EQUATION
METHOD RELATED TO THE OUTER DIRICHLET PROBLEM 147 5.4.2 BOUNDARY
INTEGRAL EQUATION METHOD RELATED TO THE OUTER TRANSMISSION PROBLEM 152
5.4.3 VOLUME INTEGRAL EQUATION METHOD RELATED TO THE OUTER TRANSMISSION
PROBLEM 154 5.5 LIPPMANN-SCHWINGER EQUATIONS 158 5.5.1 THE SCALAR
PROBLEM 158 5.5.2 THE DYADIC PROBLEM 160 THE RAYLEIGH HYPOTHESIS 165 6.1
INTRODUCTION 165 6.2 PLANE WAVE SCATTERING ON PERIODIC GRAETINGS 168
6.2.1 CONVENTIONAL FORMULATION OF THE SCATTERING PROBLEM ... 168 6.2.2
FORMULATION IN TERMS OF GREEN FUNCTIONS 171 6.2.3 T-MATRIX SOLUTION 176
6.2.4 RAYLEIGH S HYPOTHESIS ACCORDING TO PETIT, CADILHAC, AND MILLAR 179
6.2.5 RAYLEIGH S HYPOTHESIS ACCORDING TO LIPPMANN, AND A CORRESPONDING
BOUNDARY INTEGRAL SOLUTION 182 6.3 NUMERICAL NEAR-FIELD ANALYSIS 185 6.4
SUMMARY 189 PHYSICAL BASICS OF ELECTROMAGNETIC WAVE SCATTERING 197 7.1
INTRODUCTION 197 7.2 THE ELECTROMAGNETIC SCATTERING PROBLEMS 198 7.2.1
MAXWELL S EQUATIONS AND BOUNDARY CONDITIONS 198 7.2.2 VECTOR WAVE
EQUATIONS OF THE ELECTROMAGNETIC FIELDS .. 203 7.2. XIV CONTENTS 8.2.3
DATABASE FOR SPHEROIDAL PARTICLES AND SIZE AVERAGING 262 8.3 DESCRIPTION
OF PROGRAM MIESCHKA 265 8.3.1 CONVERGENCE STRATEGY USED IN MIESCHKA 266
8.3.2 FUNCTIONALITY AND USAGE OF MIESCHKA 270 8.3.3 CONTENT OF THE CD
276 9 RECOMMENDED LITERATURE 277 9.1 MIE THEORY 277 9.2 MATHEMATICAL
ASPECTS OF SCATTERING 278 9.3 GREEN FUNCTIONS 280 9.4 T-MATRIX METHODS
281 9.5 METHOD OF LINES 282 9.6 INTEGRAL EQUATION METHODS AND
SINGULARITIES 282 9.7 RAYLEIGH S HYPOTHESIS 283 9.8 ELECTROMAGNETIC WAVE
THEORY 285 9.9 SCATTERING OF ELECTROMAGNETIC WAVES AND APPLICATIONS 285
9.10 MISCELLANEOUS 287 INDEX 289
|
| any_adam_object | 1 |
| author | Rother, Tom 1957- |
| author_GND | (DE-588)120952130 |
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| author_role | aut |
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| author_variant | t r tr |
| building | Verbundindex |
| bvnumber | BV036037794 |
| classification_rvk | UH 5100 |
| ctrlnum | (OCoLC)502394419 (DE-599)DNB993291473 |
| 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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| id | DE-604.BV036037794 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:09:56Z |
| institution | BVB |
| isbn | 9783642007033 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018929741 |
| oclc_num | 502394419 |
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| owner_facet | DE-83 DE-11 |
| physical | XIV, 292 S. graph. Darst. 24 cm 1 CD-ROM |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Springer |
| record_format | marc |
| series | Springer series in optical sciences |
| series2 | Springer series in optical sciences |
| spelling | Rother, Tom 1957- Verfasser (DE-588)120952130 aut Electromagnetic wave scattering on nonspherical particles basic methodology and simulations ; [CD-ROM included] Tom Rother Berlin ; Heidelberg Springer 2009 XIV, 292 S. graph. Darst. 24 cm 1 CD-ROM txt rdacontent n rdamedia nc rdacarrier Springer series in optical sciences 145 Green-Funktion (DE-588)4158123-4 gnd rswk-swf Lichtstreuung (DE-588)4167602-6 gnd rswk-swf Lichtstreuung (DE-588)4167602-6 s Green-Funktion (DE-588)4158123-4 s DE-604 Springer series in optical sciences 145 (DE-604)BV000000237 145 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018929741&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rother, Tom 1957- Electromagnetic wave scattering on nonspherical particles basic methodology and simulations ; [CD-ROM included] Springer series in optical sciences Green-Funktion (DE-588)4158123-4 gnd Lichtstreuung (DE-588)4167602-6 gnd |
| subject_GND | (DE-588)4158123-4 (DE-588)4167602-6 |
| title | Electromagnetic wave scattering on nonspherical particles basic methodology and simulations ; [CD-ROM included] |
| title_auth | Electromagnetic wave scattering on nonspherical particles basic methodology and simulations ; [CD-ROM included] |
| title_exact_search | Electromagnetic wave scattering on nonspherical particles basic methodology and simulations ; [CD-ROM included] |
| title_full | Electromagnetic wave scattering on nonspherical particles basic methodology and simulations ; [CD-ROM included] Tom Rother |
| title_fullStr | Electromagnetic wave scattering on nonspherical particles basic methodology and simulations ; [CD-ROM included] Tom Rother |
| title_full_unstemmed | Electromagnetic wave scattering on nonspherical particles basic methodology and simulations ; [CD-ROM included] Tom Rother |
| title_short | Electromagnetic wave scattering on nonspherical particles |
| title_sort | electromagnetic wave scattering on nonspherical particles basic methodology and simulations cd rom included |
| title_sub | basic methodology and simulations ; [CD-ROM included] |
| topic | Green-Funktion (DE-588)4158123-4 gnd Lichtstreuung (DE-588)4167602-6 gnd |
| topic_facet | Green-Funktion Lichtstreuung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018929741&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000237 |
| work_keys_str_mv | AT rothertom electromagneticwavescatteringonnonsphericalparticlesbasicmethodologyandsimulationscdromincluded |