Radiation trapping in atomic vapours:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford
Clarendon Pr.
1998
|
| Series: | Oxford science publications
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XXVI, 510 S. graph. Darst. |
| ISBN: | 0198538669 |
Staff View
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Record in the Search Index
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| adam_text | RADIATION TRAPPING IN ATOMIC VAPOURS ANDREAS F. MOLISCH AND BERNHARD R
OEHRY INSTITUTE FOR COMMUNICATIONS AND RADIO FREQUENCY ENGINEERING,
TECHNICAL UNIVERSITY, VIENNA CLARENDON PRESS * OXFORD 1998 CONTENTS LIST
OF SYMBOLS IXX I BACKGROUND INTRODUCTION 3 1.1 THE PHYSICAL PROCESS OF
RADIATION TRAPPING 3 1.2 HISTORICAL OVERVIEW 6 1.3 APPLICATIONS OF
RADIATION TRAPPING 9 1.4 OUTLINE OF THE BOOK 12 ATOMIC LINESHAPES 15 2.1
THE EINSTEIN THEORY OF RADIATION 15 2.2 BROADENING MECHANISMS 20 2.2.1
NATURAL BROADENING 20 2.2.2 DOPPLER BROADENING 20 2.2.3 PRESSURE
BROADENING 22 2.2.4 VOIGT LINESHAPES 24 2.3 STRENGTH RULES FOR FINE AND
HYPERFINE SPLITTING 30 COLLISIONS, QUENCHING, AND PARTICLE DIFFUSION 33
3.1 COLLISIONAL CROSS-SECTIONS 33 3.2 COLLISIONS BETWEEN ATOMS OF THE
SAME KIND 35 3.3 COLLISIONS BETWEEN ATOMS OF DIFFERENT KINDS 35 3.4
COLLISIONS WITH ELECTRONS; IONIZATION AND RECOMBINATION 36 3.5 PARTICLE
DIFFUSION 37 3.6 HYPERFINE-STRUCTURE INTERMIXING 41 3.7 FINE-STRUCTURE
INTERMIXING 42 * THE CLASSICAL RADIATION TRAPPING PROBLEM FORMULATION OF
THE CLASSICAL PROBLEM 49 4.1 THE MILNE EQUATION 50 4.2 THE HOLSTEIN
EQUATION 51 4.2.1 DERIVATION OF THE HOLSTEIN EQUATION 51 4.2.2 IDEALIZED
GEOMETRIES 56 4.2.3 SIMPLIFYING ASSUMPTIONS IN THE DERIVATION OF THE
HOL STEIN EQUATION 59 4.3 THE MULTIPLE-SCATTERING REPRESENTATION 64 4.4
THE EQUATION OF RADIATIVE TRANSFER 67 4.5 THE ESCAPE FACTOR 69 CONTENTS
MATHEMATICAL METHODS FOR THE HOLSTEIN EQUATION 5.1 THE VARIATIONAL
TECHNIQUE 5.2 EXACT SOLUTIONS IN THE HIGH-OPACITY CASE 5.2.1 VAN TRIGT S
SOLUTION 5.2.2 THE GEOMETRICAL QUANTIZATION TECHNIQUE 5.2.3 THE FOURIER
TRANSFORM TECHNIQUE 5.3 THE PIECEWISE-CONSTANT APPROXIMATION 5.4 THE
PROPAGATOR FUNCTION METHOD 5.5 OTHER COMPUTATION METHODS METHODS FOR THE
MULTIPLE-SCATTERING REPRESENTATION 6.1 MONTE CARLO SIMULATIONS 6.2
ANALYTICAL SOLUTIONS FITTING EQUATIONS AND PHYSICAL INTERPRETATION 7.1
DOPPLER AND LORENTZ LINES 7.2 VOIGT LINES 7.3 HYPERFINE SPLIT LINES 7.4
HIGHER-ORDER MODES 7.5 STEADY-STATE SOLUTIONS OF THE HOLSTEIN EQUATION
7.6 THE EMERGENT SPECTRUM THE MILNE AND EDDINGTON APPROXIMATIONS 8.1 THE
ORIGINAL MILNE THEORY 8.2 THE ANGLE APPROXIMATION 8.3 THE GENERALIZED
EDDINGTON APPROXIMATION 8.4 THE FREQUENCY APPROXIMATION MATHEMATICAL
METHODS FOR THE TRANSFER EQUATION 9.1 DISCRETE ORDINATE SOLUTION 9.2 THE
FEAUTRIER TECHNIQUE 9.2.1 THE BASIC FEAUTRIER TECHNIQUE 9.2.2 MODIFIED
FINITE-DIFFERENCING EQUATIONS 9.2.3 CHOICE OF THE BOUNDARY CONDITIONS
9.3 THE VARIABLE EDDINGTON FACTOR TECHNIQUE 9.4 MODIFIED FEAUTRIER
APPROACHES 9.4.1 THE RYBICKI REORGANIZATION 9.4.2 THE CORE SATURATION
METHOD 9.4.3 THE IMPLICIT INTEGRAL METHOD 9.4.4 SPLITTING ALGORITHMS
9.4.5 QUADRATURE PERTURBATION 9.4.6 THE DISCONTINUOUS FINITE-ELEMENT
(DFE) CONTENTS ** III GENERALIZED TRAPPING PROBLEMS 10 SIMPLE
GENERALIZATIONS 165 10.1 BRANCHING AND QUENCHING 165 10.2 THREE-LEVEL
ATOMS 167 10.3 REFLECTING WALLS 171 10.3.1 DIFFUSELY REFLECTING WALLS
171 10.3.2 SPECULARLY REFLECTING WALLS 173 10.4 PARTICLE DIFFUSION 179
10.4.1 FORMULATION AND DIRECT SOLUTION 179 10.4.2 THE MODAL COMBINATION
TECHNIQUE 181 10.4.3 THE DISCRETE-ORDINATE TECHNIQUE 186 10.4.4 RESULTS
192 10.5 INHOMOGENEOUS DISTRIBUTION OF ABSORBERS 193 10.6 TWO- AND
THREE-DIMENSIONAL GEOMETRIES 197 10.6.1 THE FINITE CYLINDER 197 10.6.2
THE PARALLELEPIPED 201 10.6.3 THE TORUS AND THE HOLLOW CYLINDER 201 11
PARTIAL FREQUENCY REDISTRIBUTION 204 11.1 THE PHYSICAL PICTURE OF PER
204 11.1.1 REDISTRIBUTION FUNCTIONS IN THE ATOMIC REST FRAME 205 11.1.2
REDISTRIBUTION FUNCTIONS IN THE LABORATORY REST FRAME 208 11.1.3
ANGLE-AVERAGED REDISTRIBUTION FUNCTIONS 210 11.1.4 PURE DOPPLER
BROADENING 211 11.1.5 DOPPLER PLUS NATURAL BROADENING 214 11.1.6 DOPPLER
PLUS COLLISIONAL BROADENING 218 11.1.7 DOPPLER, NATURAL, PLUS
COLLISIONAL BROADENING 219 11.1.8 BRANCHING TRANSITIONS 220 11.1.9 THE
HOLSTEIN EQUATION WITH PFR 221 11.2 VARIATIONAL SOLUTION 223 11.3 THE
VELOCITY DISTRIBUTION OF EXCITED ATOMS 230 11.4 THE PROPAGATOR FUNCTION
METHOD AND THE PCA METHOD 232 11.5 MONTE CARLO SIMULATIONS 236 11.6
TRANSFER EQUATION FORMULATIONS 238 11.7 FREQUENCY DIFFUSION 240 11.8
LARGE-SCALE PARTICLE FLOW 242 12 POLARIZATION 247 12.1 INTRODUCTION 247
12.2 FORMAL SOLUTION OF THE VECTOR TRANSFER EQUATION 248 XIV CONTENTS
12.3 TRAPPING PROBLEMS WITH POLARIZATION 250 12.3.1 THE
POLARIZATION-FREE APPROXIMATION 250 12.3.2 THE HOLSTEIN EQUATION WITHOUT
MAGNETIC FIELD 251 12.3.3 THE HOLSTEIN EQUATION WITH MAGNETIC FIELD 253
12.4 MONTE CARLO SIMULATIONS 254 12.5 PHYSICAL EFFECTS 258 13 NON-LINEAR
RADIATION TRAPPING 262 13.1 WHEN DO NON-LINEARITIES OCCUR? 263 13.2
INTERACTION OF STRONG LASER RADIATION WITH ATOMS 267 13.2.1 SELECTION OF
VELOCITY GROUPS 268 13.2.2 BURN-THROUGH AND ONE-DIMENSIONALITY 270 13.3
STEADY-STATE SOLUTIONS 271 13.3.1 COMPLETE LINEARIZATION 272 13.3.2
OPERATOR PERTURBATION 276 13.3.3 DIRECT ITERATION 285 13.3.4 APPROXIMATE
TECHNIQUES 287 13.3.5 MONTE CARLO SIMULATIONS 287 13.4 TRANSIENT
PROBLEMS 288 13.4.1 NUMERICAL SOLUTION OF THE NON-LINEAR HOLSTEIN EQUA-
TION 288 13.4.2 ANALYTICAL APPROXIMATIONS 291 13.4.3 NUMERICAL SOLUTION
OF THE TRANSFER EQUATION 293 13.4.4 PHYSICAL EFFECTS 294 13.4.5 MONTE
CARLO SIMULATIONS 298 13.5 MULTILEVEL SYSTEMS 299 13.5.1 COMPLETE
LINEARIZATION IN THE MULTILEVEL CASE 299 13.5.2 OPERATOR PERTURBATION
TECHNIQUES FOR MULTILEVEL SYS- TEMS 300 13.5.3 THE EQUIVALENT TWO-LEVEL
ATOM 301 13.5.4 STEADY-STATE IN THREE-LEVEL ATOMS 303 13.5.5
TIME-DEPENDENT DEPLETION 307 14 COMBINATION OF TECHNIQUES 313 14.1 THE
FOUR BASIC QUESTIONS 313 14.2 LINEAR TRAPPING WITH COMPLETE FREQUENCY
REDISTRIBUTION 314 14.2.1 SOLUTION METHODS FOR THE CLASSICAL HOLSTEIN
EQUATION 314 14.2.2 INCLUSION OF OTHER PHYSICAL EFFECTS 317 14.3
NONLINEAR TRAPPING WITH CFR 319 14.3.1 TAKING THE NON-LINEARITY INTO
ACCOUNT 320 14.3.2 MULTILEVEL ATOMS 320 14.3.3 REQUIRED ACCURACY 321
14.4 TRAPPING WITH PARTIAL FREQUENCY REDISTRIBUTION 321 CONTENTS XV IV
APPLICATIONS 15 MEASUREMENTS IN CHEMICAL PHYSICS 326 15.1 ATOMIC
LIFETIMES 327 15.2 COLLISION CROSS-SECTIONS 328 15.3 IONIZATION
CROSS-SECTIONS 331 15.4 QUENCHING AND INTERMIXING CROSS-SECTIONS 335
15.5 ATOMIC BEAMS 338 15.6 ATOMIC DENSITIES 339 15.7 RADIATION TRAPPING
IN COLD ATOMS 340 15.8 OTHER MEASUREMENTS 344 16 SIMULATION OF OPTICALLY
PUMPED GAS LASERS 346 16.1 TRAPPING IN GAS LASERS 346 16.2 LOW-OPACITY
FORMULATION 347 16.2.1 BASIC FORMULATION 347 16.2.2 APPROXIMATE SOLUTION
FOR SINGLE-MODE OPERATION 350 16.2.3 CONCLUSIONS 352 16.3 THE
MERCURY-NITROGEN LASER 354 16.3.1 THE OPERATING PRINCIPLE 354 16.3.2
SETUP OF THE RATE EQUATIONS 355 16.3.3 CONCLUSIONS 358 17 ATOMIC LINE
FILTERS 361 18 DISCHARGE LAMPS AND PLASMAS 368 18.1 INTRODUCTION 368
18.2 THE THEORY OF DISCHARGE LAMPS 369 18.3 RADIATION TRAPPING IN
DISCHARGE LAMPS 372 18.4 DECREASING RADIATION TRAPPING IN LAMPS 376 18.5
THE OPTOGALVANIC EFFECT 379 18.6 PLASMAS 381 18.7 CONCLUDING REMARKS 383
V APPENDICES A ATOMIC STRUCTURE 387 A.L MODELS OF THE ATOMIC STRUCTURE
387 A. 1.1 THE BOHR-RUTHERFORD MODEL 387 A. 1.2 THE SCHROEDINGER EQUATION
388 A.2 THE HYDROGEN ATOM 388 A.3 THE PERIODIC TABLE OF ELEMENTS 391 A.4
ALKALI ATOMS 392 A.4.1 LIFTING OF THE /-DEGENERACY IN ALKALI ATOMS 392
A.4.2 FINE STRUCTURE OF ALKALI ATOMS 394 A.5 THE HELIUM ATOM 397 XVI
CONTENTS * D A.6 THE ALKALINE EARTH ELEMENTS A.7 TRIVALENT ELEMENTS A.8
HYPERFINE STRUCTURE AND ISOTOPE SPLITTING A.8.1 HYPERFINE STRUCTURE
A.8.2 ISOTOPE SPLITTING A.9 EFFECTS OF EXTERNAL MAGNETIC AND ELECTRIC
FIELDS A.9.1 THE ZEEMAN EFFECT A.9.2 THE STARK EFFECT VALUES OF THE AK,
M MATRIX ELEMENTS FOR THE NUMERICAL SOLUTION OF THE HOLSTEIN EQUATION
B.L THE SLAB * .2 THE CYLINDER*METHOD 1 * .3 THE CYLINDER*METHOD 2 B.4
THE SPHERE PUBLICLY AVAILABLE SOFTWARE FOR THE COMPUTATION OF RADIATION
TRAPPING C.L RAD-TRAP C.2 MCTRAP C.3 SLAB3 C.4 ALTAIR C.5 TLUSTY C.6
OTHER PROGRAMS FITTING EQUATIONS FOR THE EIGENVALUES AND EIGENFUNCTIONS
OF THE HOLSTEIN EQUATION D.L THE SLAB D.2 THE CYLINDER D.3 THE SPHERE
399 399 399 399 401 401 401 402 403 403 404 406 409 413 413 415 418 419
420 421 422 422 422 423 E FINITE DIFFERENCE SOLUTION OF THE
INHOMOGENEOUS EQUATION OF RADIATIVE TRANSFER IN A FINITE CYLINDER 427 F
THE DENSITY MATRIX 433 F. 1 THE DENSITY MATRIX FOR ATOMIC STATES 433 F.2
THE DENSITY MATRIX FOR PHOTONS 434 F.3 INTERACTION OF ATOMS AND
RADIATION 436 F4 STATE MULTIPOLES 437 F.4.1 DEFINITION OF TENSOR
OPERATORS 437 F.4.2 DEFINITION OF STATE MULTIPOLES 438 G HIGH-FIELD
EFFECTS 440 G. 1 ABSORPTION AND EMISSION COEFFICIENTS OF HOMOGENEOUSLY
BROAD ENED LINES 440 G.2 AC-STARK SPLITTING AND MOLLOW TRIPLETS 441
CONTENTS XVII G.3 EFFECTS OF AC-STARK SPLITTING ON RADIATION TRAPPING
443 G.4 THE VALIDITY OF THE TRANSFER EQUATION 444 REFERENCES 446 INDEX
501
|
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| indexdate | 2024-07-09T18:26:29Z |
| institution | BVB |
| isbn | 0198538669 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008393295 |
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| owner | DE-91G DE-BY-TUM DE-703 DE-188 |
| owner_facet | DE-91G DE-BY-TUM DE-703 DE-188 |
| physical | XXVI, 510 S. graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
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| spelling | Molisch, Andreas F. Verfasser aut Radiation trapping in atomic vapours Andreas F. Molisch and Bernhard P. Oehry Oxford Clarendon Pr. 1998 XXVI, 510 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Oxford science publications Chemistry, Physical and theoretical Radiation trapping Vapors Atom (DE-588)4003412-4 gnd rswk-swf Strahlung (DE-588)4057849-5 gnd rswk-swf Strahlungsfalle gnd rswk-swf Atom (DE-588)4003412-4 s Strahlung (DE-588)4057849-5 s DE-604 Strahlungsfalle f Oehry, Bernhard P. Sonstige oth GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008393295&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Molisch, Andreas F. Radiation trapping in atomic vapours Chemistry, Physical and theoretical Radiation trapping Vapors Atom (DE-588)4003412-4 gnd Strahlung (DE-588)4057849-5 gnd |
| subject_GND | (DE-588)4003412-4 (DE-588)4057849-5 |
| title | Radiation trapping in atomic vapours |
| title_auth | Radiation trapping in atomic vapours |
| title_exact_search | Radiation trapping in atomic vapours |
| title_full | Radiation trapping in atomic vapours Andreas F. Molisch and Bernhard P. Oehry |
| title_fullStr | Radiation trapping in atomic vapours Andreas F. Molisch and Bernhard P. Oehry |
| title_full_unstemmed | Radiation trapping in atomic vapours Andreas F. Molisch and Bernhard P. Oehry |
| title_short | Radiation trapping in atomic vapours |
| title_sort | radiation trapping in atomic vapours |
| topic | Chemistry, Physical and theoretical Radiation trapping Vapors Atom (DE-588)4003412-4 gnd Strahlung (DE-588)4057849-5 gnd |
| topic_facet | Chemistry, Physical and theoretical Radiation trapping Vapors Atom Strahlung Strahlungsfalle |
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