Light scattering by optically soft particles: theory and applications
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer [u.a.]
2006
|
| Series: | Springer praxis books in environmental sciences
|
| Subjects: | |
| Online Access: | Table of contents only Publisher description Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references (p. [177]-192) and index |
| Physical Description: | XVI, 195 S. Ill., graph. Darst. 25 cm |
| ISBN: | 3540239103 |
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Record in the Search Index
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| adam_text | SUBODH K. SHARMA AND DAVID J. SOMERFORD LIGHT SCATTERING BY OPTICALLY
SOFT PARTICLES THEORY AND APPLICATIONS 4Y SPRI PUBLISHED IN ASSOCIATION
WITH RINGER PRAXIS PUBLISHING PR CHICHESTER, UK K CONTENTS PREFACE IX
LIST OF FIGURES XI LIST OF TABLES XIII LIST OF ABBREVIATIONS XV 1
INTRODUCTION 1 2 THE EIKONAL APPROXIMATION IN NON-RELATIVISTIC POTENTIAL
SCATTERING 5 2. 1 PRELIMINARIES OF THE PROBLEM 5 2.2 THE WAVE FUNCTION
IN THE EIKONAL APPROXIMATION 6 2.2.1 APPROXIMATION FROM THE SCHROEDINGER
EQUATION 6 2.2.2 APPROXIMATION FROM THE INTEGRAL EQUATION 7 2.2.3
PROPAGATOR APPROXIMATION 8 2.2.4 PHYSICAL PICTURE 9 2.3 SCATTERING
AMPLITUDE 9 2.3.1 EIKONAL AMPLITUDE 9 2.3.2 GLAUBER VARIANT 10 2.4
RELATIONSHIP WITH PARTIAL WAVE EXPANSION 11 2.5 COMPARISON WITH THE BORN
SERIES 12 2.6 INTERPRETATION AS A LONG-RANGE APPROXIMATION 13 2.7
NUMERICAL COMPARISONS 13 2.8 MODIFIED EIKONAL APPROXIMATIONS 14 2.8.1
THE EIKONAL EXPANSION 14 2.8.2 THE EIKONAL-BORN SERIES 15 2.8.3 THE
GENERALIZED EIKONAL APPROXIMATION 16 K VI CONTENTS 3 EIKONAL
APPROXIMATION IN OPTICAL SCATTERING 17 3.1 DEFINITIONS AND TERMINOLOGY
19 3.2 ANALOGY WITH POTENTIAL SCATTERING 21 3.3 VALIDITY OF SCALAR
SCATTERING APPROXIMATION 23 3.4 SCATTERING BY A HOMOGENEOUS SPHERE 24
3.4.1 THE EIKONAL APPROXIMATION 24 3.4.2 DERIVATION FROM THE MIE
SOLUTIONS 31 3.4.3 RELATIONSHIP WITH THE ANOMALOUS DIFFRACTION
APPROXIMA- TION 33 3.4.4 CORRECTIONS TO THE EIKONAL APPROXIMATION 36
3.4.5 NUMERICAL COMPARISONS 41 3.4.6 ONE-DIMENSIONAL MODEIS 45 3.4.7
BACKSCATTERING 47 3.4.8 VECTOR DESCRIPTION 50 3.5 INFINITELY LONG
CYLINDER 51 3.5.1 NORMAL INCIDENCE 51 3.5.2 DERIVATION FROM EXACT
SOLUTIONS 57 3.5.3 VECTOR FORMALISM 59 3.5.4 CORRECTIONS TO THE EIKONAL
APPROXIMATION 60 3.5.5 NUMERICAL COMPARISONS 63 3.5.6 OBLIQUE INCIDENCE
65 3.6 COATED SPHERES 66 3.7 SPHEROIDS AND ELLIPSOIDS 70 3.8 SOME OTHER
SHAPES 74 3.8.1 COLUMNAR PARTICLES 74 3.8.2 CUBE 76 3.8.3 PLATES AND
NEEDLES 76 3.8.4 PARALLELEPIPED 77 3.8.5 STATISTICAL INTERPRETATION OF
THE ADA 78 3.9 RANDOMLY ORIENTED MONODISPERSE PARTICLES 81 3.9.1
LONG-CIRCULAR AND ELLIPTIC CYLINDERS 81 3.9.2 HEXAGONAL COLUMNS 83 3.9.3
FINITE CYLINDERS 85 3.9.4 SPHEROIDS AND ELLIPSOIDS 85 3.9.5 DISKS 87
3.10 POLYDISPERSION OF SPHERES 88 4 OTHER SOFT-PARTICLE APPROXIMATIONS
91 4.1 RAYLEIGH-GANS-DEBYE APPROXIMATION 91 4.1.1 HOMOGENEOUS SPHERE 92
4.1.2 SCATTERING BY AN INFINITELY LONG CYLINDER 95 4.2 PERELMAN
APPROXIMATION 96 4.2.1 HOMOGENEOUS SPHERE 96 4.2.2 SPECIAL CASES 101
4.2.3 BACKSCATTERING 103 CONTENTS VII 4.2.4 THE SCALAR PERELMAN
APPROXIMATION 103 4.2.5 INFMITELY LONG CYLINDER 105 4.3 HART AND
MONTROLL APPROXIMATION 107 4.3.1 HOMOGENEOUS SPHERE 107 4.3.2 INFMITELY
LONG CYLINDERS 109 4.4 EVANS AND FOURNIER APPROXIMATION 110 4.4.1
HOMOGENEOUS SPHERE 111 4.4.2 HOMOGENEOUS SPHEROIDS 112 4.5 BOHREN AND
NEVITT APPROXIMATION 114 4.6 NUSSENZVEIG AND WISCOMBE APPROXIMATION 117
4.7 PENNDORF-SHIFRIN-PUNINA APPROXIMATION 118 4.8 NUMERICAL COMPARISONS
118 5 APPLICATIONS OF EIKONAL-TYPE APPROXIMATIONS 127 5.1 PARTICLE SIZE
DETERMINATION 127 5.1.1 ONE PARTICLE AT A TIME 127 5.1.2 SUSPENSION OF
PARTICLES 135 5.1.3 AGGREGATES 145 5.2 INTERSTELLAR AND INTERPLANETARY
DUST 146 5.3 PLASMA DENSITY PROFILING 148 5.4 BIOMEDICAL OPTICS 150
5.4.1 BLOOD OPTICS 150 5.4.2 TISSUE OPTICS 153 5.4.3 SIZE AND SHAPE OF
BACTERIA 154 5.4.4 CIRCULAR DICHROISM AND OPTICAL ROTATION 154 5.5 OCEAN
OPTICS 156 5.6 MISCELLANEOUS APPLICATIONS 157 APPENDICES A SCATTERING
FORMULAS IN THE ANOMALOUS DIFFRACTION APPROXIMATION FOR AN ARBITRARILY
ORIENTED HEXAGONAL COLUMN 159 B ADDITION THEOREMS EMPLOYED IN DERIVING
THE MAIN FORM OF THE PERELMAN APPROXIMATION (MPA) FOR A SPHERICAL
PARTICLE 163 C DERIVATION OF PERELMAN APPROXIMATION FOR THE LIGHT
SCATTERED BY AN INFMITELY LONG CYLINDER 167 D MEAN VALUE THEOREM AND
ESTIMATION OF THE KEY PARAMETERS OF THE DISTRIBUTION 171 D.L ESTIMATION
OF THE PARTICLE NUMBER N 173 D.2 ESTIMATION OF THE FIRST MOMENT OF F{A)
174 E PEARSON METHOD 175 REFERENCES 177 INDEX 193
|
| adam_txt |
SUBODH K. SHARMA AND DAVID J. SOMERFORD LIGHT SCATTERING BY OPTICALLY
SOFT PARTICLES THEORY AND APPLICATIONS 4Y SPRI PUBLISHED IN ASSOCIATION
WITH RINGER PRAXIS PUBLISHING PR CHICHESTER, UK K CONTENTS PREFACE IX
LIST OF FIGURES XI LIST OF TABLES XIII LIST OF ABBREVIATIONS XV 1
INTRODUCTION 1 2 THE EIKONAL APPROXIMATION IN NON-RELATIVISTIC POTENTIAL
SCATTERING 5 2. 1 PRELIMINARIES OF THE PROBLEM 5 2.2 THE WAVE FUNCTION
IN THE EIKONAL APPROXIMATION 6 2.2.1 APPROXIMATION FROM THE SCHROEDINGER
EQUATION 6 2.2.2 APPROXIMATION FROM THE INTEGRAL EQUATION 7 2.2.3
PROPAGATOR APPROXIMATION 8 2.2.4 PHYSICAL PICTURE 9 2.3 SCATTERING
AMPLITUDE 9 2.3.1 EIKONAL AMPLITUDE 9 2.3.2 GLAUBER VARIANT 10 2.4
RELATIONSHIP WITH PARTIAL WAVE EXPANSION 11 2.5 COMPARISON WITH THE BORN
SERIES 12 2.6 INTERPRETATION AS A LONG-RANGE APPROXIMATION 13 2.7
NUMERICAL COMPARISONS 13 2.8 MODIFIED EIKONAL APPROXIMATIONS 14 2.8.1
THE EIKONAL EXPANSION 14 2.8.2 THE EIKONAL-BORN SERIES 15 2.8.3 THE
GENERALIZED EIKONAL APPROXIMATION 16 K VI CONTENTS 3 EIKONAL
APPROXIMATION IN OPTICAL SCATTERING 17 3.1 DEFINITIONS AND TERMINOLOGY
19 3.2 ANALOGY WITH POTENTIAL SCATTERING 21 3.3 VALIDITY OF SCALAR
SCATTERING APPROXIMATION 23 3.4 SCATTERING BY A HOMOGENEOUS SPHERE 24
3.4.1 THE EIKONAL APPROXIMATION 24 3.4.2 DERIVATION FROM THE MIE
SOLUTIONS 31 3.4.3 RELATIONSHIP WITH THE ANOMALOUS DIFFRACTION
APPROXIMA- TION 33 3.4.4 CORRECTIONS TO THE EIKONAL APPROXIMATION 36
3.4.5 NUMERICAL COMPARISONS 41 3.4.6 ONE-DIMENSIONAL MODEIS 45 3.4.7
BACKSCATTERING 47 3.4.8 VECTOR DESCRIPTION 50 3.5 INFINITELY LONG
CYLINDER 51 3.5.1 NORMAL INCIDENCE 51 3.5.2 DERIVATION FROM EXACT
SOLUTIONS 57 3.5.3 VECTOR FORMALISM 59 3.5.4 CORRECTIONS TO THE EIKONAL
APPROXIMATION 60 3.5.5 NUMERICAL COMPARISONS 63 3.5.6 OBLIQUE INCIDENCE
65 3.6 COATED SPHERES 66 3.7 SPHEROIDS AND ELLIPSOIDS 70 3.8 SOME OTHER
SHAPES 74 3.8.1 COLUMNAR PARTICLES 74 3.8.2 CUBE 76 3.8.3 PLATES AND
NEEDLES 76 3.8.4 PARALLELEPIPED 77 3.8.5 STATISTICAL INTERPRETATION OF
THE ADA 78 3.9 RANDOMLY ORIENTED MONODISPERSE PARTICLES 81 3.9.1
LONG-CIRCULAR AND ELLIPTIC CYLINDERS 81 3.9.2 HEXAGONAL COLUMNS 83 3.9.3
FINITE CYLINDERS 85 3.9.4 SPHEROIDS AND ELLIPSOIDS 85 3.9.5 DISKS 87
3.10 POLYDISPERSION OF SPHERES 88 4 OTHER SOFT-PARTICLE APPROXIMATIONS
91 4.1 RAYLEIGH-GANS-DEBYE APPROXIMATION 91 4.1.1 HOMOGENEOUS SPHERE 92
4.1.2 SCATTERING BY AN INFINITELY LONG CYLINDER 95 4.2 PERELMAN
APPROXIMATION 96 4.2.1 HOMOGENEOUS SPHERE 96 4.2.2 SPECIAL CASES 101
4.2.3 BACKSCATTERING 103 CONTENTS VII 4.2.4 THE SCALAR PERELMAN
APPROXIMATION 103 4.2.5 INFMITELY LONG CYLINDER 105 4.3 HART AND
MONTROLL APPROXIMATION 107 4.3.1 HOMOGENEOUS SPHERE 107 4.3.2 INFMITELY
LONG CYLINDERS 109 4.4 EVANS AND FOURNIER APPROXIMATION 110 4.4.1
HOMOGENEOUS SPHERE 111 4.4.2 HOMOGENEOUS SPHEROIDS 112 4.5 BOHREN AND
NEVITT APPROXIMATION 114 4.6 NUSSENZVEIG AND WISCOMBE APPROXIMATION 117
4.7 PENNDORF-SHIFRIN-PUNINA APPROXIMATION 118 4.8 NUMERICAL COMPARISONS
118 5 APPLICATIONS OF EIKONAL-TYPE APPROXIMATIONS 127 5.1 PARTICLE SIZE
DETERMINATION 127 5.1.1 ONE PARTICLE AT A TIME 127 5.1.2 SUSPENSION OF
PARTICLES 135 5.1.3 AGGREGATES 145 5.2 INTERSTELLAR AND INTERPLANETARY
DUST 146 5.3 PLASMA DENSITY PROFILING 148 5.4 BIOMEDICAL OPTICS 150
5.4.1 BLOOD OPTICS 150 5.4.2 TISSUE OPTICS 153 5.4.3 SIZE AND SHAPE OF
BACTERIA 154 5.4.4 CIRCULAR DICHROISM AND OPTICAL ROTATION 154 5.5 OCEAN
OPTICS 156 5.6 MISCELLANEOUS APPLICATIONS 157 APPENDICES A SCATTERING
FORMULAS IN THE ANOMALOUS DIFFRACTION APPROXIMATION FOR AN ARBITRARILY
ORIENTED HEXAGONAL COLUMN 159 B ADDITION THEOREMS EMPLOYED IN DERIVING
THE MAIN FORM OF THE PERELMAN APPROXIMATION (MPA) FOR A SPHERICAL
PARTICLE 163 C DERIVATION OF PERELMAN APPROXIMATION FOR THE LIGHT
SCATTERED BY AN INFMITELY LONG CYLINDER 167 D MEAN VALUE THEOREM AND
ESTIMATION OF THE KEY PARAMETERS OF THE DISTRIBUTION 171 D.L ESTIMATION
OF THE PARTICLE NUMBER N 173 D.2 ESTIMATION OF THE FIRST MOMENT OF F{A)
174 E PEARSON METHOD 175 REFERENCES 177 INDEX 193 |
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| isbn | 3540239103 |
| language | English |
| lccn | 2006925167 |
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| spelling | Sharma, Subodh K. Verfasser aut Light scattering by optically soft particles theory and applications Subodh K. Sharma and David J. Somerford Berlin [u.a.] Springer [u.a.] 2006 XVI, 195 S. Ill., graph. Darst. 25 cm txt rdacontent n rdamedia nc rdacarrier Springer praxis books in environmental sciences Includes bibliographical references (p. [177]-192) and index Mathematik Light Scattering Mathematics Eikonal equation Somerford, David J. Verfasser aut http://www.loc.gov/catdir/toc/fy0709/2006925167.html Table of contents only http://www.loc.gov/catdir/enhancements/fy0663/2006925167-d.html Publisher description GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015783496&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sharma, Subodh K. Somerford, David J. Light scattering by optically soft particles theory and applications Mathematik Light Scattering Mathematics Eikonal equation |
| title | Light scattering by optically soft particles theory and applications |
| title_auth | Light scattering by optically soft particles theory and applications |
| title_exact_search | Light scattering by optically soft particles theory and applications |
| title_exact_search_txtP | Light scattering by optically soft particles theory and applications |
| title_full | Light scattering by optically soft particles theory and applications Subodh K. Sharma and David J. Somerford |
| title_fullStr | Light scattering by optically soft particles theory and applications Subodh K. Sharma and David J. Somerford |
| title_full_unstemmed | Light scattering by optically soft particles theory and applications Subodh K. Sharma and David J. Somerford |
| title_short | Light scattering by optically soft particles |
| title_sort | light scattering by optically soft particles theory and applications |
| title_sub | theory and applications |
| topic | Mathematik Light Scattering Mathematics Eikonal equation |
| topic_facet | Mathematik Light Scattering Mathematics Eikonal equation |
| url | http://www.loc.gov/catdir/toc/fy0709/2006925167.html http://www.loc.gov/catdir/enhancements/fy0663/2006925167-d.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015783496&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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