Electromagnetic wave propagation in turbulence: evaluation and application of Mellin transforms
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin u.a.
Springer
1994
|
| Schriftenreihe: | Springer series on wave phenomena
18 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVII, 300 S. graph. Darst. |
| ISBN: | 3540576193 0387576193 |
Internformat
MARC
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| 100 | 1 | |a Sasiela, Richard J. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Electromagnetic wave propagation in turbulence |b evaluation and application of Mellin transforms |c Richard J. Sasiela |
| 264 | 1 | |a Berlin u.a. |b Springer |c 1994 | |
| 300 | |a XVII, 300 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Springer series on wave phenomena |v 18 | |
| 650 | 4 | |a Atmospheric turbulence | |
| 650 | 4 | |a Electromagnetic waves |x Transmission | |
| 650 | 4 | |a Mellin transform | |
| 650 | 4 | |a Numerical calculations | |
| 650 | 0 | 7 | |a Elektromagnetische Welle |0 (DE-588)4014301-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Atmosphärische Turbulenz |0 (DE-588)4223965-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mellin-Transformation |0 (DE-588)4339148-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Wellenausbreitung |0 (DE-588)4121912-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Atmosphärische Turbulenz |0 (DE-588)4223965-5 |D s |
| 689 | 0 | 1 | |a Elektromagnetische Welle |0 (DE-588)4014301-6 |D s |
| 689 | 0 | 2 | |a Wellenausbreitung |0 (DE-588)4121912-0 |D s |
| 689 | 0 | 3 | |a Mellin-Transformation |0 (DE-588)4339148-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Springer series on wave phenomena |v 18 |w (DE-604)BV000022763 |9 18 | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-005913187 | |
Datensatz im Suchindex
| _version_ | 1807594558667620352 |
|---|---|
| adam_text |
TABLE
OF
CONTENTS
1
INTRODUCTION
.
1
1.1
BOOK
PLAN
.
2
1.2
INTRODUCTION
TO
MELLIN
TRANSFORMS
.
6
1.3
HIGHER
TRANSCENDENTAL
FUNCTIONS
.
12
2
BASIC
EQUATIONS
FOR
WAVE
PROPAGATION
IN
TURBULENCE
.
19
2.1
TURBULENCE
SPECTRA
.
20
2.2
RYTOV
APPROXIMATION
.
30
2.3
PHASE
AND
LOG-AMPLITUDE
VARIANCES
.
34
2.4
POWER
SPECTRAL
DENSITY
.
42
2.5
BEAM
SHAPE
AND
STREHL
RATIO
.
43
3
APERTURE
FILTER
FUNCTIONS
.
47
3.1
CIRCULAR
APERTURE
MODES
.
48
3.2
PISTON
AND
TILT
ON
AN
ANNULUS
.
51
3.3
FINITE
APERTURES
AND
FOCAL
ANISOPLANATISM
.
53
3.4
ADAPTIVE-OPTICS
SYSTEMS
.
57
4
ZERO-PARAMETER
PROBLEMS
.
59
4.1
HIRBULENCE
MODELS
AND
MOMENTS
.
59
4.2
ZERNIKE
TILT
AND
PISTON
FOR
COLLIMATED
AND
FOCUSED
BEAMS
.
63
4.3
GRADIENT
TILT
.
65
4.4
DIFFERENCE
BETWEEN
GRADIENT
AND
ZERNIKE
TILT
.
65
4.5
BEAM
MOVEMENT
AT
A
TARGET
.
66
4.6
ANGLE-OF-ARRIVAL
JITTER
.
68
4.7
SCINTILLATION
FOR
COLLIMATED
AND
FOCUSED
BEAMS
.
70
4.8
PHASE
VARIANCE
WITH
FINITE
SERVO
BANDWIDTH
.
71
4.9
VARIANCES
FOR
BEAMS
CORRECTED
BY
ADAPTIVE
OPTICS
.
72
5
INTEGRAL
EVALUATION
WITH
MELLIN
TRANSFORMS
.
75
5.1
INTEGRAL
EVALUATION
WITH
ONE
PARAMETER
.
76
5.2
ASYMPTOTIC
SOLUTIONS
.
83
5.2.1
ALTERNATE
METHOD
OF
INTEGRAL
EVALUATION
.
88
5.3
MULTIPLE
POLES
.
89
5.3.1
EXPANSION
OF
INTEGRAND
FUNCTIONS
.
90
XII
TABLE
OF
CONTENTS
5.3.2
EXAMPLE
1
.
91
5.3.3
EXAMPLE
2
.
92
5.3.4
EXAMPLE
3
.
93
5.3.5
EXAMPLE
4
.
94
5.3.6
EXAMPLE
5
.
94
5.3.7
EXAMPLE
6
.
95
6
OTHER
APPLICATIONS
OF
MELLIN
TRANSFORMS
.
99
6.1
CONVOLUTIONAL
TRANSFORMS
.
100
6.2
LAPLACE
'
S
EQUATION
IN
CYLINDRICAL
COORDINATES
.
101
6.3
LAPLACE
'
S
EQUATION
IN
SPHERICAL
COORDINATES
.
103
6.4
TIME
VARYING
PROBLEMS
.
105
6.5
INTEGRAL
EQUATIONS
.
108
6.6
MULTIPLE
INTEGRALS
AND
ASYMPTOTIC
SERIES
FROM
POWER
SERIES
.
.
109
6.7
MISCELLANEOUS
ADDITIONAL
APPLICATIONS
.
110
7
EXAMPLES
WITH
A
SINGLE
POSITIVE
PARAMETER
.
113
7.1
TILT
FOR
THE
VON
KARMAN
SPECTRUM
.
114
7.2
TILT
FOR
THE
GREENWOOD
SPECTRUM
.
116
7.3
TILT
WITH
FINITE
INNER
SCALE
.
118
7.4
PISTON
AND
TILT-REMOVED
PHASE
VARIANCE
ON
AN
ANNULUS
.
120
7.5
EFFECT
OF
DIFFRACTION
ON
TILT
.
125
7.6
TILT
ANISOPLANATISM
.
128
7.7
POWER
SPECTRAL
DENSITY
OF
TILT
.
136
7.8
SCINTILLATION
WITH
FINITE
APERTURES
AND
SOURCES
.
139
7.9
SCINTILLATION
WITH
FINITE
INNER
SCALE
.
143
7.10
SCINTILLATION
ANISOPLANATISM
.
146
7.11
FOCUS
ANISOPLANATISM
.
147
7.12
FOCAL
ANISOPLANATISM
FOR
POINT
SOURCES
.
150
7.13
FOCAL
ANISOPLANATISM
FOR
DISTRIBUTED
SOURCES
.
155
7.14
FOCAL
ANISOPLANATISM
FOR
OFFSET
SOURCES
.
157
8
STREHL
RATIO
.
161
8.1
STREHL
RATIO
FOR
PROPAGATION
THROUGH
TURBULENCE
.
161
8.2
STREHL
RATIO
WITH
BEAM
JITTER
.
164
8.3
STREHL
RATIO
WITH
ANISOPLANATISM
.
168
8.4
STREHL
RATIO
FOR
VARIOUS
ANISOPLANATIC
EFFECTS
.
172
8.4.1
DISPLACEMENT
ANISOPLANATISM
.
172
8.4.2
ANGULAR
ANISOPLANATISM
.
174
8.4.3
TIME-DELAY
ANISOPLANATISM
.
174
8.4.4
CHROMATIC
ANISOPLANATISM
.
177
8.4.5
COMBINED
DISPLACEMENT
ANISOPLANATISM
.
180
TABLE
OF
CONTENTS
XIII
9
MELLIN
TRANSFORMS
WITH
A
COMPLEX
PARAMETER
.
183
9.1
MELLIN-BARNES
INTEGRALS
WITH
COMPLEX
PARAMETERS
.
183
9.2
ASYMPTOTIC
RESULTS
WITH
A
COMPLEX
PARAMETER
.
185
9.3
THE
MELLIN
TRANSFORM
OF
AN
EXPONENTIAL
TIMES
A
BESSEL
FUNCTION
189
10
EXAMPLES
WITH
A
SINGLE
COMPLEX
PARAMETER
.
193
10.1
PHASE
AND
LOG-AMPLITUDE
VARIANCES
OF
BEAM
WAVES
.
193
10.2
POWER
SPECTRAL
DENSITY
OF
BEAM
WAVES
.
197
10.3
SCINTILLATION
ON
BEAM
WAVES
.
198
11
MELLIN
TRANSFORMS
IN
N
COMPLEX
PLANES
.
205
11.1
CONVERGENCE
OF
MULTI-PARAMETER
SERIES
.
207
11.2
PATH
CLOSURE
AT
INFINITY
.
210
11.3
INTEGRATION
IN
MULTIPLE
COMPLEX
PLANES
.
212
11.3.1
EVALUATION
PROCEDURE
FOR
N
COMPLEX
PLANES
.
222
11.4
ASYMPTOTIC
SOLUTION
IN
TWO
OR
MORE
COMPLEX
PLANES
.
222
12
EXAMPLES
WITH
N
PARAMETERS
.
233
12.1
AN
INTEGRAL
WITH
TWO
BESSEL
FUNCTIONS
AND
A
SINUSOID
.
234
12.2
AN
INTEGRAL
WITH
THREE
BESSEL
FUNCTIONS
.
236
12.3
EXAMPLE
IN
THREE
AND
N
COMPLEX
PLANES
.
239
12.4
EFFECT
OF
OUTER
SCALE
ON
TILT
ANISOPLANATISM
.
241
12.5
TILT
WITH
INNER
AND
OUTER
SCALE
.
246
12.6
POWER
SPECTRUM
OF
TILT
WITH
OUTER
SCALE
.
250
12.7
STRUCTURE
AND
CORRELATION
FUNCTIONS
WITH
INNER
AND
OUTER
SCALES
255
13
BEAM
SHAPE
.
263
13.1
GENERAL
FORMULA
FOR
BEAM
SHAPE
.
263
13.2
BEAM
SHAPE
FOR
UNCORRECTED
TURBULENCE
.
266
13.3
BEAM
SHAPE
WITH
TILT
JITTER
.
268
13.4
BEAM
SHAPE
WITH
ANISOPLANATISM
.
271
A
ADDITIONAL
MELLIN
TRANSFORMS
.
277
B
TRANCENDENTAL
FUNCTIONS
.
285
REFERENCES
.
289
INDEX
.
297 |
| any_adam_object | 1 |
| author | Sasiela, Richard J. |
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| ctrlnum | (OCoLC)29548521 (DE-599)BVBBV008958945 |
| dewey-full | 539.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 539 - Modern physics |
| dewey-raw | 539.2 |
| dewey-search | 539.2 |
| dewey-sort | 3539.2 |
| dewey-tens | 530 - Physics |
| discipline | Geowissenschaften Physik Elektrotechnik |
| format | Book |
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| id | DE-604.BV008958945 |
| illustrated | Illustrated |
| indexdate | 2024-08-17T01:01:44Z |
| institution | BVB |
| isbn | 3540576193 0387576193 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005913187 |
| oclc_num | 29548521 |
| open_access_boolean | |
| owner | DE-384 DE-91 DE-BY-TUM DE-703 DE-83 DE-11 DE-188 |
| owner_facet | DE-384 DE-91 DE-BY-TUM DE-703 DE-83 DE-11 DE-188 |
| physical | XVII, 300 S. graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Springer |
| record_format | marc |
| series | Springer series on wave phenomena |
| series2 | Springer series on wave phenomena |
| spelling | Sasiela, Richard J. Verfasser aut Electromagnetic wave propagation in turbulence evaluation and application of Mellin transforms Richard J. Sasiela Berlin u.a. Springer 1994 XVII, 300 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer series on wave phenomena 18 Atmospheric turbulence Electromagnetic waves Transmission Mellin transform Numerical calculations Elektromagnetische Welle (DE-588)4014301-6 gnd rswk-swf Atmosphärische Turbulenz (DE-588)4223965-5 gnd rswk-swf Mellin-Transformation (DE-588)4339148-5 gnd rswk-swf Wellenausbreitung (DE-588)4121912-0 gnd rswk-swf Atmosphärische Turbulenz (DE-588)4223965-5 s Elektromagnetische Welle (DE-588)4014301-6 s Wellenausbreitung (DE-588)4121912-0 s Mellin-Transformation (DE-588)4339148-5 s DE-604 Springer series on wave phenomena 18 (DE-604)BV000022763 18 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005913187&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sasiela, Richard J. Electromagnetic wave propagation in turbulence evaluation and application of Mellin transforms Springer series on wave phenomena Atmospheric turbulence Electromagnetic waves Transmission Mellin transform Numerical calculations Elektromagnetische Welle (DE-588)4014301-6 gnd Atmosphärische Turbulenz (DE-588)4223965-5 gnd Mellin-Transformation (DE-588)4339148-5 gnd Wellenausbreitung (DE-588)4121912-0 gnd |
| subject_GND | (DE-588)4014301-6 (DE-588)4223965-5 (DE-588)4339148-5 (DE-588)4121912-0 |
| title | Electromagnetic wave propagation in turbulence evaluation and application of Mellin transforms |
| title_auth | Electromagnetic wave propagation in turbulence evaluation and application of Mellin transforms |
| title_exact_search | Electromagnetic wave propagation in turbulence evaluation and application of Mellin transforms |
| title_full | Electromagnetic wave propagation in turbulence evaluation and application of Mellin transforms Richard J. Sasiela |
| title_fullStr | Electromagnetic wave propagation in turbulence evaluation and application of Mellin transforms Richard J. Sasiela |
| title_full_unstemmed | Electromagnetic wave propagation in turbulence evaluation and application of Mellin transforms Richard J. Sasiela |
| title_short | Electromagnetic wave propagation in turbulence |
| title_sort | electromagnetic wave propagation in turbulence evaluation and application of mellin transforms |
| title_sub | evaluation and application of Mellin transforms |
| topic | Atmospheric turbulence Electromagnetic waves Transmission Mellin transform Numerical calculations Elektromagnetische Welle (DE-588)4014301-6 gnd Atmosphärische Turbulenz (DE-588)4223965-5 gnd Mellin-Transformation (DE-588)4339148-5 gnd Wellenausbreitung (DE-588)4121912-0 gnd |
| topic_facet | Atmospheric turbulence Electromagnetic waves Transmission Mellin transform Numerical calculations Elektromagnetische Welle Atmosphärische Turbulenz Mellin-Transformation Wellenausbreitung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005913187&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000022763 |
| work_keys_str_mv | AT sasielarichardj electromagneticwavepropagationinturbulenceevaluationandapplicationofmellintransforms |