On the diffraction of harmonic spherical waves: a comparison between the strict Sommerfeld description and the ray tube approximation
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Karlsruhe
Forschungszentrum
1995
|
| Edition: | Als Ms. gedr. |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 72 S. graph. Darst. |
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MARC
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| 100 | 1 | |a Honc°u, Sunna |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a On the diffraction of harmonic spherical waves |b a comparison between the strict Sommerfeld description and the ray tube approximation |c S. Honcu ; M. Krauss ; Chr. Weddigen. Forschungszentrum Karlsruhe, Technik und Umwelt ; Forschungszentrum Karlsruhe GmbH, Karlsruhe |
| 250 | |a Als Ms. gedr. | ||
| 264 | 1 | |a Karlsruhe |b Forschungszentrum |c 1995 | |
| 300 | |a 72 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 700 | 1 | |a Krauss, Matthias |e Verfasser |4 aut | |
| 700 | 1 | |a Weddigen, Christian |e Verfasser |4 aut | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007177081&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-007177081 | |
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| _version_ | 1808046507407966208 |
|---|---|
| adam_text |
TABLE
OF
CONTENTS
1.
INTRODUCTION
.
1
2.
THE
DIFFRACTION
OF
PLANE
WAVES
.
2
2.1
THE
HELMHOLTZ
EQUATION
.
.
2
2.1.1
HOMOGENEOUS
PLANE
WAVES
.
3
2.1.2
INHOMOGENEOUS
PLANE
WAVES
.
3
2.2
BOUNDARY
CONDITIONS
.
4
2.3
THE
FRESNEL
COEFFICIENTS
.
5
2.4
CONSERVATION
OF
ENERGY
FLUX
AT
THE
INTERFACE
.
6
3.
THE
DIFFRACTION
OF
SPHERICAL
WAVES
.
7
3.1
THE
SOMMERFELD
INTEGRAL
DESCRIPTION
.
7
3.1.1
THE
INCIDENT
WAVE
.
8
3.1.2
THE
REFLECTED
AND
TRANSMITTED
WAVES
.
9
3.2
REAL
EXPRESSIONS
FOR
THE
SOMMERFELD
INTEGRALS
.
10
3.2.1
TRANSFORMATION
OF
K-COORDINATES
.
10
3.2.2
REDUCED
VARIABLES
AND
NOTATIONS
.
11
3.2.3
THE
INCIDENT
WAVE
.
11
3.2.4
THE
REFLECTED
AND
TRANSMITTED
WAVES
FOR
N
1
.
12
3.2.5
THE
REFLECTED
AND
TRANSMITTED
WAVES
FOR
N
1
.
15
4.
THE
OPTICAL
COORDINATE
SYSTEM
.
17
4.1
TRANSFORMATIONS
BETWEEN
CYLINDRICAL
AND
OPTICAL
COORDINATES
.
18
4.1.1
FOR
THE
REFLECTED
WAVE
.
18
4.1.2
FOR
THE
TRANSMITTED
WAVE
.
19
4.2
DIFFERENTIAL
OPERATORS
IN
OPTICAL
COORDINATES
.
21
4.2.1
FOR
THE
REFLECTED
WAVE
.
22
4.2.2
FOR
THE
TRANSMITTED
WAVE
.
23
4.3
THE
BOUNDARY
CONDITIONS
IN
OPTICAL
COORDINATES
.
23
5.
THE
RAY
TUBE
APPROXIMATION
(RTA)
.
24
5.1
THE
INCIDENT
WAVE
.
26
5.2
THE
REFLECTED
WAVE
.
26
5.3
THE
TRANSMITTED
WAVE
.
26
6.
SOME
NUMERICAL
RESULTS
.
.
27
6.1
THE
INCIDENT
WAVE
.
28
6.2
SOMMERFELD
WAVES
FOR
REFLECTION
AND
TRANSMISSION
.
33
6.3
RTA
WAVES
FOR
REFLECTION
AND
TRANSMISSION
.
56
6.4
A
COMPARISON
OF
RTA
WITH
SOMMERFELD
WAVES
.
63
7.
SUMMARY
.
70
ACKNOWLEDGEMENTS
.
71
REFERENCES
.
71 |
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| author | Honc°u, Sunna Krauss, Matthias Weddigen, Christian |
| author_facet | Honc°u, Sunna Krauss, Matthias Weddigen, Christian |
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| id | DE-604.BV010747424 |
| illustrated | Illustrated |
| indexdate | 2024-08-22T00:45:15Z |
| institution | BVB |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007177081 |
| oclc_num | 75690535 |
| open_access_boolean | |
| owner | DE-12 DE-83 |
| owner_facet | DE-12 DE-83 |
| physical | 72 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Forschungszentrum |
| record_format | marc |
| spelling | Honc°u, Sunna Verfasser aut On the diffraction of harmonic spherical waves a comparison between the strict Sommerfeld description and the ray tube approximation S. Honcu ; M. Krauss ; Chr. Weddigen. Forschungszentrum Karlsruhe, Technik und Umwelt ; Forschungszentrum Karlsruhe GmbH, Karlsruhe Als Ms. gedr. Karlsruhe Forschungszentrum 1995 72 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Krauss, Matthias Verfasser aut Weddigen, Christian Verfasser aut DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007177081&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Honc°u, Sunna Krauss, Matthias Weddigen, Christian On the diffraction of harmonic spherical waves a comparison between the strict Sommerfeld description and the ray tube approximation |
| title | On the diffraction of harmonic spherical waves a comparison between the strict Sommerfeld description and the ray tube approximation |
| title_auth | On the diffraction of harmonic spherical waves a comparison between the strict Sommerfeld description and the ray tube approximation |
| title_exact_search | On the diffraction of harmonic spherical waves a comparison between the strict Sommerfeld description and the ray tube approximation |
| title_full | On the diffraction of harmonic spherical waves a comparison between the strict Sommerfeld description and the ray tube approximation S. Honcu ; M. Krauss ; Chr. Weddigen. Forschungszentrum Karlsruhe, Technik und Umwelt ; Forschungszentrum Karlsruhe GmbH, Karlsruhe |
| title_fullStr | On the diffraction of harmonic spherical waves a comparison between the strict Sommerfeld description and the ray tube approximation S. Honcu ; M. Krauss ; Chr. Weddigen. Forschungszentrum Karlsruhe, Technik und Umwelt ; Forschungszentrum Karlsruhe GmbH, Karlsruhe |
| title_full_unstemmed | On the diffraction of harmonic spherical waves a comparison between the strict Sommerfeld description and the ray tube approximation S. Honcu ; M. Krauss ; Chr. Weddigen. Forschungszentrum Karlsruhe, Technik und Umwelt ; Forschungszentrum Karlsruhe GmbH, Karlsruhe |
| title_short | On the diffraction of harmonic spherical waves |
| title_sort | on the diffraction of harmonic spherical waves a comparison between the strict sommerfeld description and the ray tube approximation |
| title_sub | a comparison between the strict Sommerfeld description and the ray tube approximation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007177081&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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