Scattering from model nonspherical particles: theory and applications to environmental physics
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2003
|
| Schriftenreihe: | Physics of earth and space environments
Physics and astronomy online library |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 245 - 249 |
| Beschreibung: | XIV, 253 S. graph. Darst. : 24 cm |
| ISBN: | 3540440143 |
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| 245 | 1 | 0 | |a Scattering from model nonspherical particles |b theory and applications to environmental physics |c F. Borghese ; P. Denti ; R. Saija |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2003 | |
| 300 | |a XIV, 253 S. |b graph. Darst. : 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Physics of earth and space environments | |
| 490 | 0 | |a Physics and astronomy online library | |
| 500 | |a Literaturverz. S. 245 - 249 | ||
| 650 | 7 | |a Ondes électromagnétiques - Diffusion |2 ram | |
| 650 | 7 | |a Particules (matière) - Propriétés optiques |2 ram | |
| 650 | 7 | |a Physique de l'atmosphère - Modèles mathématiques |2 ram | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Atmospheric physics |x Mathematical models | |
| 650 | 4 | |a Electromagnetic waves |x Scattering | |
| 650 | 4 | |a Particles |x Optical properties | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-010026869 | ||
Datensatz im Suchindex
| _version_ | 1804129591039623168 |
|---|---|
| adam_text | CONTENTS 1. MULTIPOLE FIELDS . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . 1 1.1 INTRODUCTION . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
1 1.2 FIELD EQUATIONS . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . 2 1.3 VECTOR HELMHOLTZ EQUATION . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . 4 1.4 TRANSFORMATION
PROPERTIES OF VECTOR FIELDS . . . . . . . . . . . . . . . . 5 1.4.1
CARTESIAN VECTORS . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . 5 1.4.2 SPIN OF A VECTOR FIELD . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . 6 1.5 EIGENVECTORS OF THE ANGULAR MOMENTUM . .
. . . . . . . . . . . . . . . . . 8 1.5.1 REPRESENTATIONS OF THE
ROTATION OPERATORS. . . . . . . . . . . 8 1.5.2 SPHERICAL HARMONICS . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 1.5.3 SPIN
EIGENVECTORS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . 12 1.6 SPHERICAL TENSORS ON THE UNIT SPHERE . . . . . . . . . . . .
. . . . . . . . . 13 1.6.1 COUPLING OF ANGULAR MOMENTA . . . . . . . . .
. . . . . . . . . . . . 14 1.6.2 CLEBSCH*GORDAN SERIES . . . . . . . . .
. . . . . . . . . . . . . . . . . . . 16 1.6.3 IRREDUCIBLE SPHERICAL
TENSORS. . . . . . . . . . . . . . . . . . . . . . . 18 1.6.4 VECTOR
SOLUTIONS TO THE HELMHOLTZ EQUATION . . . . . . . . . 19 1.6.5
DIVERGENCE AND CURL OF THE VECTOR HELMHOLTZ HARMONICS . . . . . . . . .
. . . . . . . . 20 1.7 MULTIPOLE FIELDS . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . 22 1.7.1 HANSEN*S
VECTORS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. 22 1.7.2 VECTOR SPHERICAL HARMONICS . . . . . . . . . . . . . . . . .
. . . . . . . 23 1.7.3 SPHERICAL MULTIPOLE FIELDS . . . . . . . . . . .
. . . . . . . . . . . . . . 25 1.8 ADDITION THEOREM FOR MULTIPOLE FIELDS
. . . . . . . . . . . . . . . . . . . . 26 1.8.1 NOZAWA*S THEOREM . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 1.8.2
ADDITION THEOREM FOR THE VECTOR HELMHOLTZ HARMONICS . . . . . . . . . .
. . . . . . 28 1.8.3 APPLICATION TO HANSEN*S VECTORS . . . . . . . . . .
. . . . . . . . . . 28 2. PROPAGATION THROUGH AN ASSEMBLY OF
NONSPHERICAL SCATTERERS . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . 31 2.1 SCATTERING AMPLITUDE . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . 31 2.2 CROSS SECTIONS . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. 33 2.3 PLANE OF SCATTERING . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . 34 2.3.1 POLARIZATION OF THE INCIDENT
PLANE WAVE . . . . . . . . . . . . . 36 2.3.2 POLARIZATION OF THE
SCATTERED WAVE . . . . . . . . . . . . . . . . . 38 XII CONTENTS 2.4
STOKES PARAMETERS . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . 39 2.4.1 M¨ ULLER TRANSFORMATION MATRIX . . . . .
. . . . . . . . . . . . . . . . 40 2.5 OPTICAL THEOREM . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41 2.6
SCATTERING BY AN ENSEMBLE OF PARTICLES . . . . . . . . . . . . . . . . .
. . . 43 2.7 R EFRACTIVE INDEX OF A DISPERSION OF PARTICLES . . . . . .
. . . . . . . . . 44 2.7.1 DEFINITION OF THE R EFRACTIVE INDEX . . . . .
. . . . . . . . . . . . . 44 2.7.2 FEATURES OF THE R EFRACTIVE INDEX . .
. . . . . . . . . . . . . . . . . . 47 3. MULTIPOLE EXPANSIONS AND
TRANSITION MATRIX . . . . . . . . . . . . . 49 3.1 MULTIPOLE EXPANSIONS
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
3.1.1 EXPANSION OF A HOMOGENEOUS PLANE WAVE . . . . . . . . . . . 49
3.1.2 INHOMOGENEOUS PLANE WAVE. . . . . . . . . . . . . . . . . . . . .
. . . 51 3.1.3 SCATTERED FIELD . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . 51 3.2 TRANSITION MATRIX . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 3.3
REFRACTIVE INDEX OF A POLYDISPERSION OF PARTICLES . . . . . . . . . . .
. 55 3.4 ORIENTATIONAL AVERAGES . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . 56 3.4.1 ASYMMETRY PARAMETER . . . . . . . .
. . . . . . . . . . . . . . . . . . . . 60 3.5 EFFECT OF AN
ELECTROSTATIC FIELD . . . . . . . . . . . . . . . . . . . . . . . . . .
. 62 3.5.1 POLARIZABILITY OF A PARTICLE OF ARBITRARY SHAPE . . . . . . .
. 63 3.6 EFFECT OF THE DIFFUSIVE MOTION . . . . . . . . . . . . . . . .
. . . . . . . . . . . . 66 4. TRANSITION MATRIXOF SINGLE AND AGGREGATED
SPHERES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . 71 4.1 HOMOGENEOUS SPHERES . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . 71 4.2 RADIALLY NONHOMOGENEOUS SPHERES . . .
. . . . . . . . . . . . . . . . . . . . 74 4.3 R ESONANCES . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. 77 4.4 AGGREGATES OF SPHERES . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . 78 4.5 SPHERES CONTAINING SPHERICAL
INCLUSIONS . . . . . . . . . . . . . . . . . . . 84 4.6 FINITE ELEMENTS
METHODS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
88 4.6.1 DISCRETE DIPOLE APPROXIMATION . . . . . . . . . . . . . . . . .
. . . . 89 4.6.2 FINITE DIFFERENCE TIME DOMAIN METHOD . . . . . . . . .
. . . . 91 5. SCATTERING FROM PARTICLES ON A PLANE SURFACE . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95 5.1
INCIDENT AND R EFLECTED FIELDS . . . . . . . . . . . . . . . . . . . . .
. . . . . . . 96 5.2 PERFECTLY R EFLECTING SURFACE . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . 98 5.2.1 ORIENTATIONAL AVERAGES .
. . . . . . . . . . . . . . . . . . . . . . . . . . . 100 5.3 DIELECTRIC
HALF-SPACE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . 103 5.3.1 REFLECTION RULE FOR H -MULTIPOLE FIELDS . . . . . .
. . . . . . . . 103 5.3.2 CALCULATION OF THE R EFLECTED FIELD . . . . .
. . . . . . . . . . . . . 107 5.4 SCATTERING FROM A SPHERE ON A
DIELECTRIC SUBSTRATE . . . . . . . . . . 109 5.4.1 REFLECTION OF THE
INCIDENT AND SCATTERED WAVE. . . . . . . . 110 5.4.2 AMPLITUDES OF THE
SCATTERED FIELD . . . . . . . . . . . . . . . . . . 111 5.4.3 SCATTERING
AMPLITUDE AND TRANSITION MATRIX . . . . . . . . . 112 5.5 AGGREGATED
SPHERES ON A DIELECTRIC SUBSTRATE . . . . . . . . . . . . . . 114
CONTENTS XIII 5.5.1 MULTIPOLE EXPANSION OF THE FIELDS . . . . . . . . .
. . . . . . . . . 114 5.5.2 TRANSITION MATRIX FOR AN AGGREGATE IN THE
PRESENCE OF A SURFACE . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . 118 5.6 PERFECTLY REFLECTING VS. DIELECTRIC
SURFACE: SIMILARITIES AND DIFFERENCES . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . 119 6. APPLICATIONS: AGGREGATED SPHERES,
LAYERED SPHERES, AND SPHERES CONTAINING INCLUSIONS . . . . . . . . . . .
. . . . . . . . . . . . . 121 6.1 GENERAL FEATURES OF SCATTERING FROM
AGGREGATED SPHERES . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . 122 6.1.1 COMPARISON WITH EXPERIMENTAL DATA . . . . . . . . .
. . . . . . 125 6.1.2 EFFECT OF THE STRUCTURAL CHANGES. . . . . . . . .
. . . . . . . . . . . 128 6.2 CLUSTERS IN AN ELECTROSTATIC FIELD . . . .
. . . . . . . . . . . . . . . . . . . . . 135 6.3 EXTINCTION FROM SINGLE
AND AGGREGATED LAYERED SPHERES . . . . . 141 6.3.1 METAL SPHERES WITH A
SOFT SURFACE . . . . . . . . . . . . . . . . . . 143 6.3.2 METAL SPHERES
WITH A DIELECTRIC COATING . . . . . . . . . . . . . 144 6.3.3 DIELECTRIC
SPHERES WITH A METAL COATING . . . . . . . . . . . . . 146 6.3.4 METAL
SPHERES WITH A METALLIC COATING . . . . . . . . . . . . . . 147 6.3.5
CONSIDERATIONS ON CONVERGENCE . . . . . . . . . . . . . . . . . . . . .
148 6.4 SPHERES CONTAINING INCLUSIONS . . . . . . . . . . . . . . . . .
. . . . . . . . . . . 149 6.4.1 METALLIC INCLUSION IN A DIELECTRIC
SPHERE . . . . . . . . . . . . . 151 6.4.2 EMPTY CAVITY IN A DIELECTRIC
SPHERE . . . . . . . . . . . . . . . . 154 6.4.3 SPHERES CONTAINING TWO
METALLIC INCLUSIONS . . . . . . . . . 155 6.4.4 RESONANCES OF A SPHERE
CONTAINING A SPHERICAL INCLUSION . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . 161 6.5 CORRELATION SPECTROSCOPY . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . 166 7. APPLICATIONS: SINGLE
AND AGGREGATED SPHERES AND HEMISPHERES ON A PLANE INTERFACE . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 173 7.1
AGGREGATED SPHERES AND HEMISPHERES ON A METALLIC SURFACE . . 173 7.2
INCLUSION-CONTAINING HEMISPHERES ON A METALLIC SURFACE . . . . . 179 7.3
RESONANCE SUPPRESSION MECHANISM . . . . . . . . . . . . . . . . . . . .
. . . 186 7.3.1 SINGLE HEMISPHERES . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . 187 7.3.2 BINARY CLUSTERS . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . 189 7.4 PARTICLES ON A
DIELECTRIC SUBSTRATE . . . . . . . . . . . . . . . . . . . . . . . . 192
7.4.1 SINGLE SPHERES . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . 192 7.4.2 AGGREGATES OF SPHERES IN FIXED ORIENTATION .
. . . . . . . . . 198 7.4.3 R ANDOMLY ORIENTED AGGREGATES . . . . . . .
. . . . . . . . . . . . . 202 8. APPLICATIONS: ATMOSPHERIC ICE CRYSTALS
. . . . . . . . . . . . . . . . . . . 207 8.1 PROPERTIES OF ATMOSPHERIC
ICE CRYSTALS IN THE INFRARED . . . . . . . 207 8.2 ICE CRYSTALS IN THE
MM WAVE R ANGE . . . . . . . . . . . . . . . . . . . . . . 213 XIV
CONTENTS 9. APPLICATIONS: COSMIC DUST GRAINS . . . . . . . . . . . . . .
. . . . . . . . . . 223 9.1 INTRODUCTION . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . 223 9.2 MODELING
COSMIC DUST GRAINS AS AGGREGATES . . . . . . . . . . . . . . . 224 9.3
FLUFFY PARTICLES . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . 230 9.3.1 OPTICAL PROPERTIES OF POROUS BARE
GRAINS . . . . . . . . . . . . 230 9.3.2 COATED GRAINS AND CLUSTERING .
. . . . . . . . . . . . . . . . . . . . . 234 A. APPENDIX . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . 239 A.1 BESSEL AND HANKEL FUNCTIONS . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . 239 A.1.1 MIE COEFFICIENTS FOR
RADIALLY NONHOMOGENEOUS SPHERES . . . . . . . . . . . . . . 240 A.2
SPHERICAL HARMONICS . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . 240 A.3 CLEBSCH*GORDAN COEFFICIENTS . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . 241 A.3.1 TRANSLATION OF
ORIGIN . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 241
A.3.2 ORIENTATIONAL AVERAGES . . . . . . . . . . . . . . . . . . . . . .
. . . . . . 241 A.4 ROTATION MATRICES D ( L ) . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . 242 A.5 CALCULATING M * 1 ,H *
1 , AND H * 1 * . . . . . . . . . . . . . . . . . . . . . . . . . . .
242 A.6 GENERAL APPROACH TO THE COMPUTATIONAL PROBLEM . . . . . . . . .
. 242 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . 245 INDEX . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . 251
|
| any_adam_object | 1 |
| author | Borghese, Ferdinando 1940- Denti, Paolo 1942- Saija, Rosalba 1958- |
| author_GND | (DE-588)123962889 (DE-588)123962897 (DE-588)123962900 |
| author_facet | Borghese, Ferdinando 1940- Denti, Paolo 1942- Saija, Rosalba 1958- |
| author_role | aut aut aut |
| author_sort | Borghese, Ferdinando 1940- |
| author_variant | f b fb p d pd r s rs |
| building | Verbundindex |
| bvnumber | BV014817997 |
| callnumber-first | Q - Science |
| callnumber-label | QC665 |
| callnumber-raw | QC665.S3 |
| callnumber-search | QC665.S3 |
| callnumber-sort | QC 3665 S3 |
| callnumber-subject | QC - Physics |
| classification_rvk | UH 5300 |
| ctrlnum | (OCoLC)50478471 (DE-599)BVBBV014817997 |
| dewey-full | 539.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 539 - Modern physics |
| dewey-raw | 539.2 |
| dewey-search | 539.2 |
| dewey-sort | 3539.2 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV014817997 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:07:34Z |
| institution | BVB |
| isbn | 3540440143 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010026869 |
| oclc_num | 50478471 |
| open_access_boolean | |
| owner | DE-703 DE-522 DE-19 DE-BY-UBM |
| owner_facet | DE-703 DE-522 DE-19 DE-BY-UBM |
| physical | XIV, 253 S. graph. Darst. : 24 cm |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Springer |
| record_format | marc |
| series2 | Physics of earth and space environments Physics and astronomy online library |
| spelling | Borghese, Ferdinando 1940- Verfasser (DE-588)123962889 aut Scattering from model nonspherical particles theory and applications to environmental physics F. Borghese ; P. Denti ; R. Saija Berlin [u.a.] Springer 2003 XIV, 253 S. graph. Darst. : 24 cm txt rdacontent n rdamedia nc rdacarrier Physics of earth and space environments Physics and astronomy online library Literaturverz. S. 245 - 249 Ondes électromagnétiques - Diffusion ram Particules (matière) - Propriétés optiques ram Physique de l'atmosphère - Modèles mathématiques ram Mathematisches Modell Atmospheric physics Mathematical models Electromagnetic waves Scattering Particles Optical properties Teilchen (DE-588)4059317-4 gnd rswk-swf Elektromagnetische Streuung (DE-588)4194512-8 gnd rswk-swf Elektromagnetische Streuung (DE-588)4194512-8 s Teilchen (DE-588)4059317-4 s DE-604 Denti, Paolo 1942- Verfasser (DE-588)123962897 aut Saija, Rosalba 1958- Verfasser (DE-588)123962900 aut SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010026869&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Borghese, Ferdinando 1940- Denti, Paolo 1942- Saija, Rosalba 1958- Scattering from model nonspherical particles theory and applications to environmental physics Ondes électromagnétiques - Diffusion ram Particules (matière) - Propriétés optiques ram Physique de l'atmosphère - Modèles mathématiques ram Mathematisches Modell Atmospheric physics Mathematical models Electromagnetic waves Scattering Particles Optical properties Teilchen (DE-588)4059317-4 gnd Elektromagnetische Streuung (DE-588)4194512-8 gnd |
| subject_GND | (DE-588)4059317-4 (DE-588)4194512-8 |
| title | Scattering from model nonspherical particles theory and applications to environmental physics |
| title_auth | Scattering from model nonspherical particles theory and applications to environmental physics |
| title_exact_search | Scattering from model nonspherical particles theory and applications to environmental physics |
| title_full | Scattering from model nonspherical particles theory and applications to environmental physics F. Borghese ; P. Denti ; R. Saija |
| title_fullStr | Scattering from model nonspherical particles theory and applications to environmental physics F. Borghese ; P. Denti ; R. Saija |
| title_full_unstemmed | Scattering from model nonspherical particles theory and applications to environmental physics F. Borghese ; P. Denti ; R. Saija |
| title_short | Scattering from model nonspherical particles |
| title_sort | scattering from model nonspherical particles theory and applications to environmental physics |
| title_sub | theory and applications to environmental physics |
| topic | Ondes électromagnétiques - Diffusion ram Particules (matière) - Propriétés optiques ram Physique de l'atmosphère - Modèles mathématiques ram Mathematisches Modell Atmospheric physics Mathematical models Electromagnetic waves Scattering Particles Optical properties Teilchen (DE-588)4059317-4 gnd Elektromagnetische Streuung (DE-588)4194512-8 gnd |
| topic_facet | Ondes électromagnétiques - Diffusion Particules (matière) - Propriétés optiques Physique de l'atmosphère - Modèles mathématiques Mathematisches Modell Atmospheric physics Mathematical models Electromagnetic waves Scattering Particles Optical properties Teilchen Elektromagnetische Streuung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010026869&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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