The mathematical theory of Huygens' principle:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Mathematical Soc.
2003
|
| Ausgabe: | 3. ed., reprinted |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 193 S. graph. Darst. |
| ISBN: | 0821834789 |
Internformat
MARC
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| 100 | 1 | |a Baker, Bevan B. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The mathematical theory of Huygens' principle |c by Bevan B. Baker and E. T. Copson |
| 250 | |a 3. ed., reprinted | ||
| 264 | 1 | |a Providence, RI |b American Mathematical Soc. |c 2003 | |
| 300 | |a VI, 193 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Huygens' principle | |
| 650 | 4 | |a Huygens' principle |x Mathematics | |
| 650 | 0 | 7 | |a Huygenssches Prinzip |0 (DE-588)4210181-5 |2 gnd |9 rswk-swf |
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| 700 | 1 | |a Copson, Edward Thomas |e Verfasser |4 aut | |
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Datensatz im Suchindex
| _version_ | 1804137899556339712 |
|---|---|
| adam_text | CONTENTS
I. THE ANALYTICAL REPRESENTATION OF HUYGENS
PRINCIPLE
§ 1.
The principle of Huygens
. . . .1
5 2.
Huygens construction as a contact-transformation
. 4
§ 3.
The propagation of Bound -waves in air
. . .6
§ 4.
Huygens principle for monochromatic phenomena
. . 20
§ 5.
Wave-motions in three dimensions
. . .36
§ 6.
Wave-motions in two dimensions
. . . .45
§ 7.
Marcel Riesz s solution of the equation of cylindrical waves
54
II. HUYGENS PRINCIPLE AND THE DIFFRACTION
OF LIGHT
§1. Kirchhoff
s theory of diffraction
. . . .68
і
2.
Maggi s
transformation
. . . . .74
§ 3.
Diffraction by a black half-plane
. . . .84
§ 4. Kot
tier s theory of diffraction by a black screen
. . 98
III. HUYGENS1 PRINCIPLE FOR ELECTROMAGNETIC WAVES
|
1.
Huygens principle and Maxwell s equations
. .102
§ 2.
The failure of the
Kirchhoff
and the Larmor-Tedone
formulae
- . . . . .109
§ 3.
Kottler s formulation of Huygens principle for electro¬
magnetic waves
. . . . . .114
§ 4.
The diffraction of electromagnetic waves by a black screen
. 117
IV. SOMMERFELD S THEORY OF DIFFRACTION
§
I. Sommerfeld s many-valued wave-functions
. 121
§ 2.
The diffraction of
plane-polariłed
light by a reflecting half-
plane
....... 142
|3. Diffraction of plane-polarized light by a black half-plane
. 149
V. DIFFRACTION BY A PLANE SCREEN
§ 1.
Introduction
...... 163
§ 2.
Diffraction of sound by a plane screen
. . .159
|
3.
Diffraction of electromagnetic waves
. ■ - 162
§ 4.
Sommerfeld s diffraction problem
....
IBS
f
5.
Schwarzsehild s diffraction problem
. · .177
§ 6.
Approximate solutions
. . ■ - .181
INDEX
.......
1»1
|
| adam_txt |
CONTENTS
I. THE ANALYTICAL REPRESENTATION OF HUYGENS'
PRINCIPLE
§ 1.
The principle of Huygens
. . . .1
5 2.
Huygens' construction as a contact-transformation
. 4
§ 3.
The propagation of Bound -waves in air
. . .6
§ 4.
Huygens' principle for monochromatic phenomena
. . 20
§ 5.
Wave-motions in three dimensions
. . .36
§ 6.
Wave-motions in two dimensions
. . . .45
§ 7.
Marcel Riesz's solution of the equation of cylindrical waves
54
II. HUYGENS' PRINCIPLE AND THE DIFFRACTION
OF LIGHT
§1. Kirchhoff
's theory of diffraction
. . . .68
і
2.
Maggi's
transformation
. . . . .74
§ 3.
Diffraction by a black half-plane
. . . .84
§ 4. Kot
tier's theory of diffraction by a black screen
. . 98
III. HUYGENS1 PRINCIPLE FOR ELECTROMAGNETIC WAVES
|
1.
Huygens' principle and Maxwell's equations
. .102
§ 2.
The failure of the
Kirchhoff
and the Larmor-Tedone
formulae
- . . . . .109
§ 3.
Kottler's formulation of Huygens' principle for electro¬
magnetic waves
. . . . . .114
§ 4.
The diffraction of electromagnetic waves by a black screen
. 117
IV. SOMMERFELD'S THEORY OF DIFFRACTION
§
I. Sommerfeld's many-valued wave-functions
. 121
§ 2.
The diffraction of
plane-polariłed
light by a reflecting half-
plane
. 142
|3. Diffraction of plane-polarized light by a black half-plane
. 149
V. DIFFRACTION BY A PLANE SCREEN
§ 1.
Introduction
. 163
§ 2.
Diffraction of sound by a plane screen
. . .159
|
3.
Diffraction of electromagnetic waves
. ■ - 162
§ 4.
Sommerfeld's diffraction problem
.
IBS
f
5.
Schwarzsehild's diffraction problem
. · .177
§ 6.
Approximate solutions
. . ■ - .181
INDEX
.
1»1 |
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| discipline | Physik |
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| illustrated | Illustrated |
| index_date | 2024-07-02T21:36:03Z |
| indexdate | 2024-07-09T21:19:38Z |
| institution | BVB |
| isbn | 0821834789 |
| language | English |
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| physical | VI, 193 S. graph. Darst. |
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| spelling | Baker, Bevan B. Verfasser aut The mathematical theory of Huygens' principle by Bevan B. Baker and E. T. Copson 3. ed., reprinted Providence, RI American Mathematical Soc. 2003 VI, 193 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematik Huygens' principle Huygens' principle Mathematics Huygenssches Prinzip (DE-588)4210181-5 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Huygenssches Prinzip (DE-588)4210181-5 s Mathematische Physik (DE-588)4037952-8 s Partielle Differentialgleichung (DE-588)4044779-0 s DE-604 Copson, Edward Thomas Verfasser aut Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016657919&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Baker, Bevan B. Copson, Edward Thomas The mathematical theory of Huygens' principle Mathematik Huygens' principle Huygens' principle Mathematics Huygenssches Prinzip (DE-588)4210181-5 gnd Mathematische Physik (DE-588)4037952-8 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4210181-5 (DE-588)4037952-8 (DE-588)4044779-0 |
| title | The mathematical theory of Huygens' principle |
| title_auth | The mathematical theory of Huygens' principle |
| title_exact_search | The mathematical theory of Huygens' principle |
| title_exact_search_txtP | The mathematical theory of Huygens' principle |
| title_full | The mathematical theory of Huygens' principle by Bevan B. Baker and E. T. Copson |
| title_fullStr | The mathematical theory of Huygens' principle by Bevan B. Baker and E. T. Copson |
| title_full_unstemmed | The mathematical theory of Huygens' principle by Bevan B. Baker and E. T. Copson |
| title_short | The mathematical theory of Huygens' principle |
| title_sort | the mathematical theory of huygens principle |
| topic | Mathematik Huygens' principle Huygens' principle Mathematics Huygenssches Prinzip (DE-588)4210181-5 gnd Mathematische Physik (DE-588)4037952-8 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Mathematik Huygens' principle Huygens' principle Mathematics Huygenssches Prinzip Mathematische Physik Partielle Differentialgleichung |
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