Electromagnetic pulse propagation in causal dielectrics:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin u.a.
Springer
1994
|
| Series: | Springer series on wave phenomena
16 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 455 - 460 |
| Physical Description: | XII, 465 S. graph. Darst. |
| ISBN: | 3540578927 0387578927 |
Staff View
MARC
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| 100 | 1 | |a Oughstun, Kurt E. |e Verfasser |0 (DE-588)141460865 |4 aut | |
| 245 | 1 | 0 | |a Electromagnetic pulse propagation in causal dielectrics |c K. E. Oughstun ; G. C. Sherman |
| 264 | 1 | |a Berlin u.a. |b Springer |c 1994 | |
| 300 | |a XII, 465 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 16 | |
| 500 | |a Literaturverz. S. 455 - 460 | ||
| 650 | 4 | |a Dielectrics | |
| 650 | 4 | |a Electromagnetic waves |x Transmission | |
| 650 | 0 | 7 | |a Elektromagnetische Welle |0 (DE-588)4014301-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Dielektrikum |0 (DE-588)4149716-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Wellenausbreitung |0 (DE-588)4121912-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Dielektrikum |0 (DE-588)4149716-8 |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 | |5 DE-604 | |
| 700 | 1 | |a Sherman, George C. |e Verfasser |4 aut | |
| 830 | 0 | |a Springer series on wave phenomena |v 16 |w (DE-604)BV000022763 |9 16 | |
| 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=006477503&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
Record in the Search Index
| _version_ | 1805067082187931648 |
|---|---|
| adam_text |
CONTENTS
1.
INTRODUCTION
.
1
1.1.
MOTIVATION
.
1
1.2.
HISTORY
OF
PREVIOUS
RESEARCH
.
3
1.3.
ORGANIZATION
OF THE
BOOK
.
10
PART
I:
FUNDAMENTAL
THEORY
2.
FUNDAMENTAL
FIELD
EQUATIONS
IN
A
TEMPORALLY
DISPERSIVE
MEDIUM
.
14
2.1.
FUNDAMENTAL
FIELD
EQUATIONS
IN
A
TEMPORALLY
DISPERSIVE
MEDIUM
.
14
2.1.1.
TEMPORAL
FREQUENCY
DOMAIN
REPRESENTATION
OF
THE
FIELD
AND
MEDIUM
PROPERTIES
.
17
2.1.2.
COMPLEX
TIME-HARMONIC
FORM
OF THE
FIELD
QUANTITIES
.
21
2.2.
ELECTROMAGNETIC
ENERGY
AND
ENERGY
FLOW
IN
A
TEMPORALLY
DISPERSIVE
MEDIUM
.
24
2.2.1.
POYNTING
'
S
THEOREM
AND
THE
CONSERVATION
OF
ENERGY
.
24
2.2.2.
THE
ENERGY
DENSITY
AND
EVOLVED
HEAT
IN
A
DISPERSIVE
AND
ABSORPTIVE
MEDIUM
.
28
2.2.3.
COMPLEX
TIME-HARMONIC
FORM
OF
POYNTING
'
S
THEOREM
.
.
31
2.3.
THE
HARMONIC
ELECTROMAGNETIC
PLANE
WAVE
FIELD
.
37
2.4.
THE
LORENTZ
MODEL
OF
THE
MATERIAL
DISPERSION
.
44
2.4.1.
THE
CLASSICAL
LORENTZ
MODEL
OF
DIELECTRIC
RESONANCE.
.
44
2.4.2.
THE
VELOCITY
OF
ENERGY
FLOW
OF
A
MONOCHROMATIC
FIELD
IN
A
MULTIPLE-RESONANCE
LORENTZ
MEDIUM
.
48
3.
THE
ANGULAR
SPECTRUM
REPRESENTATION
OF
THE
PULSED
RADIATION
FIELD
.
53
3.1.
INTRODUCTION
AND
MATHEMATICAL
PRELIMINARIES
.
53
3.2.
THE
FOURIER-LAPLACE
REPRESENTATION
OF
THE
RADIATION
FIELD
.
58
3.3.
THE
SCALAR
AND
VECTOR
POTENTIALS
OF
THE
RADIATION
FIELD
.
65
3.3.1.
THE
SPECIAL
CASE
OF
A
NONCONDUCTING,
NONDISPERSIVE
MEDIUM
.
69
3.3.2.
THE
SPECTRAL
LORENTZ
CONDITION
FOR
DISPERSIVE,
CONDUCTING
MEDIA
.
70
X
3.4.
THE
ANGULAR
SPECTRUM
OF
PLANE
WAVES
REPRESENTATION
OF
THE
RADIATION
FIELD
.
72
3.5.
POLAR
COORDINATE
FORM
OF
THE
ANGULAR
SPECTRUM
REPRESENTATION
.
80
3.5.1.
TRANSFORMATION
TO
AN
ARBITRARY
POLAR
AXIS
.
88
3.5.2.
WEYL
'
S
PROOF
.
91
3.5.3.
WEYL
'
S
INTEGRAL
REPRESENTATION
.
98
3.5.4.
SOMMERFELD
'
S
INTEGRAL
REPRESENTATION
.
101
3.5.5.
OTT
'
S
INTEGRAL
REPRESENTATION
.
104
4.
THE
ANGULAR
SPECTRUM
REPRESENTATION
OF
PULSED
ELECTROMAGNETIC
BEAM
FIELDS.
105
4.1.
THE
ANGULAR
SPECTRUM
REPRESENTATION
OF
THE
FREELY-PROPAGATING
ELECTROMAGNETIC
FIELD
.
105
4.1.1.
GEOMETRIC
FORM
OF
THE
ANGULAR
SPECTRUM
REPRESENTATION
.
110
4.1.2.
THE
ANGULAR-SPECTRUM
REPRESENTATION
AND
HUYGEN
'
S
PRINCIPLE
.
119
4.2.
POLARIZATION
PROPERTIES
OF
THE
FREELY-PROPAGATING
ELECTROMAGNETIC
FIELD
.
123
4.2.1.
THE
POLARIZATION
ELLIPSE
FOR
THE
COMPLEX
FIELD
VECTORS
.
124
4.2.2.
THE
RELATION
BETWEEN
THE
ELECTRIC
AND
MAGNETIC
POLARIZATION
ELLIPSES
.
131
4.2.3.
THE
UNIFORMLY
POLARIZED
FIELD
.
134
4.3.
THE
PULSED,
PLANE-WAVE
ELECTROMAGNETIC
FIELD
.
138
4.3.1.
THE
UNIT
STEP-FUNCTION
MODULATED
SIGNAL
.
146
4.3.2.
THE
RECTANGULAR-PULSE
MODULATED
SIGNAL
.
146
4.3.3.
THE
DELTA-FUNCTION
PULSE
AND
THE
IMPULSE
RESPONSE
OF
THE
MODEL
MEDIUM
.
148
4.3.4.
THE
HYPERBOLIC-TANGENT
MODULATED
SIGNAL
.
148
4:4.
THE
QUASIMONOCHROMATIC
APPROXIMATION
AND
THE
HEURISTIC
THEORY
OF
PULSE
PROPAGATION
.
152
5.
ADVANCED
SADDLE-POINT
METHODS
FOR
THE
ASYMPTOTIC
EVALUATION
OF
SINGLE
CONTOUR
INTEGRALS
.
157
5.1.
THE
SADDLE-POINT
METHOD
DUE
TO
OLVER
.
159
5.1.1.
PEAK
VALUE
OF
THE
INTEGRAND
AT
THE
ENDPOINT
OF
INTEGRATION
.
159
5.1.2.
PEAK
VALUE
OF
THE
INTEGRAND
AT
AN
INTERIOR
POINT
OF
THE
PATH
OF
INTEGRATION
.
162
5.1.3.
THE
APPLICATION
OF
OLVER
'
S
METHOD
.
164
5.2.
THE
UNIFORM
ASYMPTOTIC
EXPANSION
FOR
TWO
FIRST-ORDER
SADDLE
POINTS
.
165
5.2.1.
THE
UNIFORM
ASYMPTOTIC
EXPANSION
FOR
TWO
ISOLATED
FIRST-ORDER
SADDLE
POINTS
.
165
XI
5.2.2.
THE
UNIFORM
ASYMPTOTIC
EXPANSION
FOR
TWO
NEIGHBORING
FIRST-ORDER
SADDLE
POINTS
.
168
5.3.
THE
UNIFORM
ASYMPTOTIC
EXPANSION
FOR
A
FIRST-ORDER
SADDLE
POINT
AND
A
SIMPLE-POLE
SINGULARITY
OF
THE
INTEGRAND.
.
.
177
5.4.
THE
UNIFORM
ASYMPTOTIC
EXPANSION
FOR
TWO
FIRST-ORDER
SADDLE
POINTS
AT
INFINITY
.
187
PART
II:
ASYMPTOTIC
THEORY
OF
PLANE
WAVE
PULSE
PROPAGATION
IN
A
SINGLE
RESONANCE
LORENTZ
MEDIUM
6.
ANALYSIS
OF
THE
PHASE
FUNCTION
AND
ITS
SADDLE
POINTS
.
192
6.1.
THE
BEHAVIOR
OF
THE
PHASE
IN
THE
COMPLEX
CO-PLANE
.
193
6.1.1.
BRILLOUIN
'
S
ANALYSIS
.
195
6.1.2.
NUMERICAL
RESULTS
.
201
6.2.
THE
LOCATION
OF THE
SADDLE
POINTS
AND
THE
APPROXIMATION
OF
THE
PHASE
.
204
6.2.1.
THE
REGION
REMOVED
FROM
THE
ORIGIN
.
208
A)
THE
FIRST
APPROXIMATION
.
208
B)
THE
SECOND
APPROXIMATION
.
210
6.2.2.
THE
REGION
NEAR
THE
ORIGIN
.
217
A)
THE
FIRST
APPROXIMATION
.
217
B)
THE
SECOND
APPROXIMATION
.
219
C)
BEHAVIOR
OF
THE
SECOND
APPROXIMATION
.
223
6.3.
ANALYTIC
DETERMINATION
OF
THE
DOMINANT
SADDLE
POINT
.
228
6.4.
NUMERICAL
DETERMINATION
OF
THE
SADDLE-POINT
LOCATIONS
AND
THE
ASSOCIATED
PHASE
BEHAVIOR
AT
THE
SADDLE
POINTS
.
234
6.5.
PROCEDURE
FOR
THE
ASYMPTOTIC
ANALYSIS
OF
THE
FIELD
A(Z,
T)
.
244
7.
EVOLUTION
OF
THE
PRECURSOR
FIELDS
.
250
7.1.
THE
FIELD
BEHAVIOR
FOR
0
1
.
251
7.2.
THE
FIRST
PRECURSOR
FIELD
(SOMMERFELD
'
S
PRECURSOR)
.
254
7.2.1.
THE
NONUNIFORM
APPROXIMATION
.
254
7.2.2.
THE
UNIFORM
APPROXIMATION
.
258
7.2.3.
THE
INSTANTANEOUS
ANGULAR
FREQUENCY
.
263
7.2.4.
THE
UNIT
STEP-FUNCTION
MODULATED
SIGNAL
.
265
7.2.5.
THE
RECTANGULAR-PULSE
MODULATED
SIGNAL
.
269
7.2.6.
THE
DELTA-FUNCTION
PULSE
.
271
7.2.7.
THE
HYPERBOLIC-TANGENT
MODULATED
SIGNAL
.
273
7.3.
THE
SECOND
PRECURSOR
FIELD
(BRILLOUIN
'
S
PRECURSOR)
.
275
7.3.1
THE
NONUNIFORM
APPROXIMATION
.
276
7.3.2.
THE
UNIFORM
APPROXIMATION
.
285
7.3.3.
THE
INSTANTANEOUS
ANGULAR
FREQUENCY
.
296
7.3.4.
THE
UNIT
STEP-FUNCTION
MODULATED
SIGNAL
.
299
7.3.5.
THE
RECTANGULAR-PULSE
MODULATED
SIGNAL
.
304
XII
7.3.6.
THE
DELTA-FUNCTION
PULSE
.
307
7.3.7.
THE
HYPERBOLIC-TANGENT
MODULATED
SIGNAL
.
309
8.
EVOLUTION
OF
THE
MAIN
SIGNAL
.
316
8.1.
THE
NONUNIFORM
ASYMPTOTIC
APPROXIMATION
.
317
8.2.
THE
UNIFORM
ASYMPTOTIC
APPROXIMATION
.
319
8.2.1.
FREQUENCIES
CO
P
IN
THE
RANGE
0
CO
P
X/
J
O
-
S
2
.
322
8.2.2.
FREQUENCIES
CO
P
IN
THE
RANGE
O
P
-
5
2
.
327
8.2.3.
FREQUENCIES
RO
P
IN
THE
RANGE
^/ A
2
-
B
2
A)
P
Y/CT)
2
-
5
2
.
329
8.3.
SPECIAL
PULSES
.
330
8.3.1.
THE
UNIT
STEP-FUNCTION
MODULATED
SIGNAL
.
330
8.3.2.
THE
RECTANGULAR-PULSE
MODULATED
SIGNAL
.
333
8.3.3.
THE
DELTA-FUNCTION
PULSE
.
335
8.3.4.
THE
HYPERBOLIC-TANGENT
MODULATED
SIGNAL
.
336
9.
THE
CONTINUOUS
EVOLUTION
OF
THE
TOTAL
FIELD
.
351
9.1.
THE
TOTAL
PRECURSOR
FIELD
.
352
9.2.
RESONANCE
PEAKS
OF
THE
PRECURSORS
AND
THE
MAIN
SIGNAL
.
353
9.3.
THE
SIGNAL
ARRIVAL
AND
THE
SIGNAL
VELOCITY
.
355
9.3.1.
TRANSITION
FROM
THE
PRECURSOR
FIELD
TO
THE
MAIN
SIGNAL
.
.
356
9.3.2.
THE
SIGNAL
VELOCITY
.
362
9.3.3.
COMPARISON
OF
THE
SIGNAL
VELOCITY
WITH
THE
OTHER
VELOCITIES
OF
LIGHT
.
366
9.4.
SPECIAL
PULSES
.
374
9.4.1.
THE
UNIT
STEP-FUNCTION
MODULATED
SIGNAL
.
375
9.4.2.
THE
RECTANGULAR-PULSE
MODULATED
SIGNAL
.
400
9.4.3.
THE
DELTA-FUNCTION
PULSE
.
420
9.4.4.
THE
HYPERBOLIC-TANGENT
MODULATED
SIGNAL
.
422
10.
PHYSICAL
INTERPRETATION
OF
THE
PULSE
DYNAMICS
.
428
10.1.
REVIEW
OF
THE
PHYSICAL
PROBLEM
AND
ITS
ASYMPTOTIC
DESCRIPTION
.
429
10.2.
APPROXIMATIONS
HAVING
PHYSICAL
INTERPRETATIONS
.
432
10.2.1.
THE
QUASIMONOCHROMATIC
CONTRIBUTION
.
433
10.2.2.
THE
NON-OSCILLATORY
CONTRIBUTION
.
436
10.3.
PHYSICAL
MODEL
OF
PULSE
DYNAMICS
.
439
10.3.1.
THE
NONUNIFORM
PHYSICAL
MODEL
.
439
10.3.2.
THE
UNIFORM
PHYSICAL
MODEL
.
445
10.4.
SUMMARY
AND
CONCLUSIONS
.
451
REFERENCES
.
455
SUBJECT
INDEX
.
461 |
| any_adam_object | 1 |
| author | Oughstun, Kurt E. Sherman, George C. |
| author_GND | (DE-588)141460865 |
| author_facet | Oughstun, Kurt E. Sherman, George C. |
| author_role | aut aut |
| author_sort | Oughstun, Kurt E. |
| author_variant | k e o ke keo g c s gc gcs |
| building | Verbundindex |
| bvnumber | BV009790400 |
| callnumber-first | Q - Science |
| callnumber-label | QC585 |
| callnumber-raw | QC585 |
| callnumber-search | QC585 |
| callnumber-sort | QC 3585 |
| callnumber-subject | QC - Physics |
| classification_rvk | UH 3000 |
| classification_tum | PHY 303f ELT 075f |
| ctrlnum | (OCoLC)30158480 (DE-599)BVBBV009790400 |
| dewey-full | 537/.24 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 537 - Electricity and electronics |
| dewey-raw | 537/.24 |
| dewey-search | 537/.24 |
| dewey-sort | 3537 224 |
| dewey-tens | 530 - Physics |
| discipline | Physik Elektrotechnik |
| format | Book |
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| id | DE-604.BV009790400 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T03:28:35Z |
| institution | BVB |
| isbn | 3540578927 0387578927 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006477503 |
| oclc_num | 30158480 |
| open_access_boolean | |
| owner | DE-703 DE-91G DE-BY-TUM DE-188 |
| owner_facet | DE-703 DE-91G DE-BY-TUM DE-188 |
| physical | XII, 465 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 | Oughstun, Kurt E. Verfasser (DE-588)141460865 aut Electromagnetic pulse propagation in causal dielectrics K. E. Oughstun ; G. C. Sherman Berlin u.a. Springer 1994 XII, 465 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer series on wave phenomena 16 Literaturverz. S. 455 - 460 Dielectrics Electromagnetic waves Transmission Elektromagnetische Welle (DE-588)4014301-6 gnd rswk-swf Dielektrikum (DE-588)4149716-8 gnd rswk-swf Wellenausbreitung (DE-588)4121912-0 gnd rswk-swf Dielektrikum (DE-588)4149716-8 s Elektromagnetische Welle (DE-588)4014301-6 s Wellenausbreitung (DE-588)4121912-0 s DE-604 Sherman, George C. Verfasser aut Springer series on wave phenomena 16 (DE-604)BV000022763 16 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006477503&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Oughstun, Kurt E. Sherman, George C. Electromagnetic pulse propagation in causal dielectrics Springer series on wave phenomena Dielectrics Electromagnetic waves Transmission Elektromagnetische Welle (DE-588)4014301-6 gnd Dielektrikum (DE-588)4149716-8 gnd Wellenausbreitung (DE-588)4121912-0 gnd |
| subject_GND | (DE-588)4014301-6 (DE-588)4149716-8 (DE-588)4121912-0 |
| title | Electromagnetic pulse propagation in causal dielectrics |
| title_auth | Electromagnetic pulse propagation in causal dielectrics |
| title_exact_search | Electromagnetic pulse propagation in causal dielectrics |
| title_full | Electromagnetic pulse propagation in causal dielectrics K. E. Oughstun ; G. C. Sherman |
| title_fullStr | Electromagnetic pulse propagation in causal dielectrics K. E. Oughstun ; G. C. Sherman |
| title_full_unstemmed | Electromagnetic pulse propagation in causal dielectrics K. E. Oughstun ; G. C. Sherman |
| title_short | Electromagnetic pulse propagation in causal dielectrics |
| title_sort | electromagnetic pulse propagation in causal dielectrics |
| topic | Dielectrics Electromagnetic waves Transmission Elektromagnetische Welle (DE-588)4014301-6 gnd Dielektrikum (DE-588)4149716-8 gnd Wellenausbreitung (DE-588)4121912-0 gnd |
| topic_facet | Dielectrics Electromagnetic waves Transmission Elektromagnetische Welle Dielektrikum Wellenausbreitung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006477503&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000022763 |
| work_keys_str_mv | AT oughstunkurte electromagneticpulsepropagationincausaldielectrics AT shermangeorgec electromagneticpulsepropagationincausaldielectrics |