Diffusion wave fields: mathematical methods and Green functions
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
2001
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 741 S. graph. Darst. 24 cm |
| ISBN: | 0387951490 |
Internformat
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Datensatz im Suchindex
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| adam_text | Titel: Diffusion wave fields
Autor: Mandelis, Andreas
Jahr: 2001
Andreas Mandelis
Diffusion-Wave Fields
Mathematical Methods and
Green Functions
With 174 Illustrations
Springer
Contents
Introduction 1
1.1 The Mathematical Nature of Diffusion-Wave Fields 1
1.2 The Fourier and Laplace Transformation Approaches 4
1.3 The Green Function Method. Advantages, Properties, and
Mathematical Preliminaries 7
1.4 Uniqueness Theorems of Diffusion-Wave Field Functions 13
Problems 17
References 20
Chapter 1. Green Functions of One-Dimensional
Thermal-Wave Fields 22
1.1 Introduction 22
1.2 Fundamental Green Function Solutions. The Infinite
Space Green Function 23
1.3 Green Functions for the Semi-Infmite Solid 26
1.4 Green Functions for a Medium ofThickness L 36
1.5 Improper Green Functions for Domains with Interfaces 47
1.6 Green Functions for Composite Solids I 53
1.7 Green Functions for Composite Solids II 59
1.8 Green Functions for Composite Solids III 72
1.9 Green Functions for Composite Solids with a Spatially
Impulsive TW Source Below the Uppermost Layer 77
Problems 80
References 83
Chapter 2. Thermal-Wave Fields in One Dimension 85
Problems 155
References 164
Contents xi
Chapter 3. Green Functions in Three- and Two-Dimensional
Cartesian Thermal-Wave Fields 167
3.1 Laterally Infinite Domains 168
3.2 Laterally Finite Domains 202
3.3 Two-dimensional Green Functions in Cartesian Coordinates 225
3.4 Three-Dimensional Green Functions of
Structures with Edges and Corners 233
Problems 239
References 243
Chapter 4. Cartesian Thermal-Wave Fields
in Three and Two Dimensions 245
Problems 305
References 311
Chapter 5. Green Functions of Thermal-Wave Fields
in Cylindrical Coordinates 313
5.1 Laterally Infinite Domains 314
5.2 Cylindrical Geometries with Finite Radii 330
5.3 Cylindrical Sector and Wedge Geometries
with Finite Radii 395
Problems 407
References 412
Chapter 6. Thermal-Wave Fields in Cylindrical Coordinates 414
6.1 Thermal-Wave Fields in Laterally Infinite Domains 415
6.2 Thermal-Wave Fields in Cylindrical
Geometries with Finite Radii 447
6.3 Thermal-Wave Fields in Laterally Infinite Domains
with Arbitrary Source Distributions 475
6.4 Thermal-Wave Fields in Cylindrical Wedges and Edges 481
Problems 490
References 499
Chapter 7. Green Functions of Thermal-Wave Fields
in Spherical Coordinates §01
Problems 540
xii Contents
References 541
Chapter 8. Thermal-Wave Fields in Spherical Coordinates 542
8.1 Point Sources, Spherically Symmetrie Source Distributions,
and Azimuthally Symmetrie Sources 542
8.2 Spherically Symmetrie Sources and Hollow Spheres 570
8.3 Spherical Cones 577
Problems 580
References 583
Chapter 9. Carrier-Density-Wave Fields in Electronic
Solids/Semiconductors 584
9.1 Carrier Transport Equations 585
9.2 One-Dimensional Cartesian Geometries 592
9.3 Three-Dimensional Cartesian Geometries 609
9.4 Three-Dimensional Cylindrieal Geometries 626
9.5 Composite Electronic Solids 643
Problems 653
References 659
Chapter 10. Diffuse Photon Density Wave Fields
in Turbid Media and Tissue 662
Problems 698
References 699
Appendix: Special Mathematical Functions
ofDiffusion-Wave Fields 709
Subject Index 733
|
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| institution | BVB |
| isbn | 0387951490 |
| language | English |
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| physical | XII, 741 S. graph. Darst. 24 cm |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Springer |
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| spelling | Mandelis, Andreas 1952- Verfasser (DE-588)141299622 aut Diffusion wave fields mathematical methods and Green functions Andreas Mandelis New York [u.a.] Springer 2001 XII, 741 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Diffusionswelle (DE-588)4287199-2 gnd rswk-swf Green-Funktion (DE-588)4158123-4 gnd rswk-swf Wärmeleitungsgleichung (DE-588)4188859-5 gnd rswk-swf Diffusionswelle (DE-588)4287199-2 s Wärmeleitungsgleichung (DE-588)4188859-5 s Green-Funktion (DE-588)4158123-4 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017439922&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mandelis, Andreas 1952- Diffusion wave fields mathematical methods and Green functions Diffusionswelle (DE-588)4287199-2 gnd Green-Funktion (DE-588)4158123-4 gnd Wärmeleitungsgleichung (DE-588)4188859-5 gnd |
| subject_GND | (DE-588)4287199-2 (DE-588)4158123-4 (DE-588)4188859-5 |
| title | Diffusion wave fields mathematical methods and Green functions |
| title_auth | Diffusion wave fields mathematical methods and Green functions |
| title_exact_search | Diffusion wave fields mathematical methods and Green functions |
| title_full | Diffusion wave fields mathematical methods and Green functions Andreas Mandelis |
| title_fullStr | Diffusion wave fields mathematical methods and Green functions Andreas Mandelis |
| title_full_unstemmed | Diffusion wave fields mathematical methods and Green functions Andreas Mandelis |
| title_short | Diffusion wave fields |
| title_sort | diffusion wave fields mathematical methods and green functions |
| title_sub | mathematical methods and Green functions |
| topic | Diffusionswelle (DE-588)4287199-2 gnd Green-Funktion (DE-588)4158123-4 gnd Wärmeleitungsgleichung (DE-588)4188859-5 gnd |
| topic_facet | Diffusionswelle Green-Funktion Wärmeleitungsgleichung |
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