Maxwell's equations: from current density distribution to the radiation field of the Hertzian Dipole
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| Language: | English |
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Wiesbaden ; [Heidelberg]
Springer Vieweg
[2020]
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| Subjects: | |
| Online Access: | Inhaltstext Unbekannt Inhaltsverzeichnis Inhaltsverzeichnis |
| Physical Description: | xvi, 173 Seiten Illustrationen 24 cm x 16.8 cm |
| ISBN: | 9783658293758 3658293756 |
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| 100 | 1 | |a Donnevert, Jürgen |e Verfasser |0 (DE-588)1041306989 |4 aut | |
| 245 | 1 | 0 | |a Maxwell's equations |b from current density distribution to the radiation field of the Hertzian Dipole |c Jürgen Donnevert |
| 263 | |a 202007 | ||
| 264 | 1 | |a Wiesbaden ; [Heidelberg] |b Springer Vieweg |c [2020] | |
| 300 | |a xvi, 173 Seiten |b Illustrationen |c 24 cm x 16.8 cm | ||
| 336 | |b txt |2 rdacontent | ||
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| 689 | 0 | 0 | |a Maxwellsche Gleichungen |0 (DE-588)4221398-8 |D s |
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| 776 | 0 | |z 9783658293765 |c eBook | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |a Donnevert, Jürgen |t Maxwell's Equations |b 1st ed. 2020 |d Wiesbaden : Springer Fachmedien Wiesbaden, 2020 |h 1 Online-Ressource(XVI, 173 p. 100 illus. Textbook for German language market.) |z 9783658293765 |
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Record in the Search Index
| _version_ | 1804182104735481856 |
|---|---|
| adam_text | CONTENTS
1
POTENTIAL
AND
CURRENT
DENSITY
DISTRIBUTION
.........................................................
1
1.1
ELECTRIC
FIELD
................................................................................................
6
1.1.1
EXPLANATION:
GRADIENT
OR
NABLA
OPERATOR
....................................
8
1.2
KIRCHHOFF
*
S
LAWS
....................................................................................
11
1.3
OHM
*
S
LAW
IN
THE
FIELD
OF
CURRENT
DENSITIES
............................................
14
1.4
POWER
DENSITY
IN
THE
FIELD
OF
CURRENT
DENSITIES
.........................................
15
1.5
ELECTRIC
CURRENT
IN
METALLIC
CONDUCTORS
.....................................................
16
2
ELECTROSTATICS
...............................................................................................................
19
2.1
ELECTRIC
FIELD
OF
SPHERICAL
AND
POINT
CHARGES
............................................
27
2.2
SPATIAL
CHARGE
DENSITY
.................................................................................
32
2.2.1
DIVERGENCE
DIV
D
=
V
*
D
IN
CYLINDRICAL
AND
SPHERICAL
COORDINATES
...................................................................................
36
2.3
POTENTIAL
EQUATION
OF
THE
ELECTRICAL
SCALAR
POTENTIAL
.................................
38
2.4
ENERGY
DENSITY
OF
THE ELECTRIC
FIELD
...........................................................
41
3
THE
STATIONARY
MAGNETIC
FIELD
..............................................................................
43
3.1
FORCE
EFFECT
IN
THE
STATIONARY
MAGNETIC
FIELD
............................................
45
3.1.1
MOVING
CONDUCTOR
IN
A
STATIONARY
MAGNETIC
FIELD
.....................
49
3.1.2
GENERATOR
FOR
ALTERNATING
VOLTAGE
................................................
52
3.1.3
MAGNETIC
FLUX
MEASUREMENT
........................................................
55
3.2
AMPERE
*
S
LAW
.............................................................................................
57
3.2.1
ABSOLUTE
PERMEABILITY
...................................................................
61
3.2.2
MAGNETIC
FIELD
INSIDE
AND
OUTSIDE
OF
AN
INFINITELY
LONG
CONDUCTOR
.............................................................................
63
3.3
MAGNETIC
SCALAR
POTENTIAL
...........................................................................
65
3.4
DIFFERENTIAL
FORM
OF
AMPERE
*
S
LAW
............................................................
67
3.5
OPERATION
V
X
APPLIED
TO
THE
MAGNETIC
FIELD
H
........................................
68
3.5.1
VECTOR
OPERATION
CURL
H
*
V
X
H
IN
CYLINDRICAL
COORDINATES
.....................................................................
68
VII
VIII
CONTENTS
3.5.2
CIRCULATION
OF
THE
VECTOR
FIELD
OF
AN
INFINITELY
LONG
CONDUCTOR
3.5.3 VECTOR
OPERATION
VXH
IN
CARTESIAN
COORDINATES
3.5.4
VECTOR
OPERATION
V
X
77
IN
SPHERICAL
COORDINATES
3.5.4.1
R-COMPONENT
OF
THE
VECTOR
V
X
77
3.5.4.2
^-COMPONENT
OF
THE
VECTOR
VXH
3.5.4.3
A-COMPONENT
OF
THE
VECTOR
V
X
77
3.5.5 VECTOR
ANALYSIS
FORMULAS
....................................
3.6
MAGNETIC
VECTOR
POTENTIAL
3.7
LAW
OF
BIOT-SAVART
72
74
76
76
78
79
81
81
85
4
TIME-VARYING
ELECTRIC
AND
MAGNETIC
FIELDS
89
4.1
INDUCTANCE
....................................................................................................
89
4.2
ENERGY
DENSITY
OF
THE
MAGNETIC
FIELD
92
4.3
FARADAY
*
S
LAW
OF
INDUCTION
94
4.4
CONTINUITY
EQUATION
103
4.5
DISPLACEMENT
CURRENT
DENSITY
106
4.6
FIRST
MAXWELL
*
S
EQUATION
108
4.6.1
SUMMARY
OF
THE
EQUATIONS
ILL
4.7
TIME-HARMONIC
FIELDS
112
4.8
WAVE
EQUATIONS
114
4.9
INHOMOGENEOUS
WAVE
EQUATION
FOR
THE
ELECTRIC
AND
MAGNETIC
FIELD
VECTORS
118
4.10
INHOMOGENEOUS
WAVE
EQUATION
FOR
THE
MAGNETIC
VECTOR
POTENTIAL
121
4.11
SOLUTION
OF
THE
WAVE
EQUATION
FOR
THE
VECTOR
POTENTIAL
BY
THE
RETARDED
POTENTIAL
124
4.12
ENERGY
TRANSPORT
IN
THE
ELECTROMAGNETIC
FIELD
126
5
WAVE
PROPAGATION
...........................................................
133
5.1
HERTZIAN
DIPOLE
133
5.1.1
NEAR
FIELD
OF
THE
HERTZIAN
DIPOLE
140
5.1.2
FAR
FIELD
OF
THE
HERTZIAN
DIPOLE
141
5.1.3
ELECTRIC
AND
MAGNETIC
FIELD
IN
THE
TIME
DOMAIN
143
5.1.3.1
THE
COMPONENT
OF
THE
MAGNETIC
FIELD
143
5.1.3.2
ELECTRIC
FIELD
COMPONENT
IN
R-DIRECTION
144
5.1.3.3
ELECTRICAL
FIELD
COMPONENT
IN
^-DIRECTION
145
5.1.4
ENERGY
FLUX
OF
THE
HERTZIAN
DIPOLE
146
5.1.4.1
ENERGY
FLUX
OF
THE
HERTZIAN
DIPOLE
IN
THE
NEAR
FIELD
146
5.1.4.2
ENERGY
FLUX
OF
THE
HERTZIAN
DIPOLE
IN
THE
FAR
FIELD
148
CONTENTS
IX
5.1.5
FIELD
LINES
OF
THE
HERTZIAN
DIPOLE
...............................
148
5.1.6
RADIATION
PATTERN
OF
THE
HERTZIAN
DIPOLE
......................................
150
5.1.7
RADIATED
POWER
OF
THE
HERTZIAN
DIPOLE
........................................
151
5.1.8
RADIATION
RESISTANCE
OF
THE
HERTZIAN
DIPOLE
................................
154
5.1.9
GAIN
OF
A
TRANSMITTING
ANTENNA
.....................................................
154
5.1.10
EFFECTIVE
AREA
OF
A
RECEIVING
ANTENNA
........................................
155
5.2
FREE-SPACE
PATH
LOSS
....................................................................................
160
6
APPENDIX:
VERIFICATION
OF
THE
CALCULATION
RULES
FOR
VECTOR
ANALYSIS
.............
163
6.1
CALCULATION
RULES
...........................................................................................
163
6.2
PROOFS
............................................................................................................
163
6.2.1
PROOF
OF
EQ.
(3.86)
.......................................................................
163
6.2.2
PROOF
OF
EQ.
(3.87)
.........................................................................
164
6.2.3
PROOF
OF
EQ.
(3.88)
.........................................................................
164
6.2.4
PROOF
OF
EQ.
(3.89)
.........................................................................
166
REFERENCES
..........................................................................................................................
169
INDEX
.....................................................................................................................................
171
|
| adam_txt |
CONTENTS
1
POTENTIAL
AND
CURRENT
DENSITY
DISTRIBUTION
.
1
1.1
ELECTRIC
FIELD
.
6
1.1.1
EXPLANATION:
GRADIENT
OR
NABLA
OPERATOR
.
8
1.2
KIRCHHOFF
*
S
LAWS
.
11
1.3
OHM
*
S
LAW
IN
THE
FIELD
OF
CURRENT
DENSITIES
.
14
1.4
POWER
DENSITY
IN
THE
FIELD
OF
CURRENT
DENSITIES
.
15
1.5
ELECTRIC
CURRENT
IN
METALLIC
CONDUCTORS
.
16
2
ELECTROSTATICS
.
19
2.1
ELECTRIC
FIELD
OF
SPHERICAL
AND
POINT
CHARGES
.
27
2.2
SPATIAL
CHARGE
DENSITY
.
32
2.2.1
DIVERGENCE
DIV
D
=
V
*
D
IN
CYLINDRICAL
AND
SPHERICAL
COORDINATES
.
36
2.3
POTENTIAL
EQUATION
OF
THE
ELECTRICAL
SCALAR
POTENTIAL
.
38
2.4
ENERGY
DENSITY
OF
THE ELECTRIC
FIELD
.
41
3
THE
STATIONARY
MAGNETIC
FIELD
.
43
3.1
FORCE
EFFECT
IN
THE
STATIONARY
MAGNETIC
FIELD
.
45
3.1.1
MOVING
CONDUCTOR
IN
A
STATIONARY
MAGNETIC
FIELD
.
49
3.1.2
GENERATOR
FOR
ALTERNATING
VOLTAGE
.
52
3.1.3
MAGNETIC
FLUX
MEASUREMENT
.
55
3.2
AMPERE
*
S
LAW
.
57
3.2.1
ABSOLUTE
PERMEABILITY
.
61
3.2.2
MAGNETIC
FIELD
INSIDE
AND
OUTSIDE
OF
AN
INFINITELY
LONG
CONDUCTOR
.
63
3.3
MAGNETIC
SCALAR
POTENTIAL
.
65
3.4
DIFFERENTIAL
FORM
OF
AMPERE
*
S
LAW
.
67
3.5
OPERATION
V
X
APPLIED
TO
THE
MAGNETIC
FIELD
H
.
68
3.5.1
VECTOR
OPERATION
CURL
H
*
V
X
H
IN
CYLINDRICAL
COORDINATES
.
68
VII
VIII
CONTENTS
3.5.2
CIRCULATION
OF
THE
VECTOR
FIELD
OF
AN
INFINITELY
LONG
CONDUCTOR
3.5.3 VECTOR
OPERATION
VXH
IN
CARTESIAN
COORDINATES
3.5.4
VECTOR
OPERATION
V
X
77
IN
SPHERICAL
COORDINATES
3.5.4.1
R-COMPONENT
OF
THE
VECTOR
V
X
77
3.5.4.2
^-COMPONENT
OF
THE
VECTOR
VXH
3.5.4.3
A-COMPONENT
OF
THE
VECTOR
V
X
77
3.5.5 VECTOR
ANALYSIS
FORMULAS
.
3.6
MAGNETIC
VECTOR
POTENTIAL
3.7
LAW
OF
BIOT-SAVART
72
74
76
76
78
79
81
81
85
4
TIME-VARYING
ELECTRIC
AND
MAGNETIC
FIELDS
89
4.1
INDUCTANCE
.
89
4.2
ENERGY
DENSITY
OF
THE
MAGNETIC
FIELD
92
4.3
FARADAY
*
S
LAW
OF
INDUCTION
94
4.4
CONTINUITY
EQUATION
103
4.5
DISPLACEMENT
CURRENT
DENSITY
106
4.6
FIRST
MAXWELL
*
S
EQUATION
108
4.6.1
SUMMARY
OF
THE
EQUATIONS
ILL
4.7
TIME-HARMONIC
FIELDS
112
4.8
WAVE
EQUATIONS
114
4.9
INHOMOGENEOUS
WAVE
EQUATION
FOR
THE
ELECTRIC
AND
MAGNETIC
FIELD
VECTORS
118
4.10
INHOMOGENEOUS
WAVE
EQUATION
FOR
THE
MAGNETIC
VECTOR
POTENTIAL
121
4.11
SOLUTION
OF
THE
WAVE
EQUATION
FOR
THE
VECTOR
POTENTIAL
BY
THE
RETARDED
POTENTIAL
124
4.12
ENERGY
TRANSPORT
IN
THE
ELECTROMAGNETIC
FIELD
126
5
WAVE
PROPAGATION
.
133
5.1
HERTZIAN
DIPOLE
133
5.1.1
NEAR
FIELD
OF
THE
HERTZIAN
DIPOLE
140
5.1.2
FAR
FIELD
OF
THE
HERTZIAN
DIPOLE
141
5.1.3
ELECTRIC
AND
MAGNETIC
FIELD
IN
THE
TIME
DOMAIN
143
5.1.3.1
THE
COMPONENT
OF
THE
MAGNETIC
FIELD
143
5.1.3.2
ELECTRIC
FIELD
COMPONENT
IN
R-DIRECTION
144
5.1.3.3
ELECTRICAL
FIELD
COMPONENT
IN
^-DIRECTION
145
5.1.4
ENERGY
FLUX
OF
THE
HERTZIAN
DIPOLE
146
5.1.4.1
ENERGY
FLUX
OF
THE
HERTZIAN
DIPOLE
IN
THE
NEAR
FIELD
146
5.1.4.2
ENERGY
FLUX
OF
THE
HERTZIAN
DIPOLE
IN
THE
FAR
FIELD
148
CONTENTS
IX
5.1.5
FIELD
LINES
OF
THE
HERTZIAN
DIPOLE
.
148
5.1.6
RADIATION
PATTERN
OF
THE
HERTZIAN
DIPOLE
.
150
5.1.7
RADIATED
POWER
OF
THE
HERTZIAN
DIPOLE
.
151
5.1.8
RADIATION
RESISTANCE
OF
THE
HERTZIAN
DIPOLE
.
154
5.1.9
GAIN
OF
A
TRANSMITTING
ANTENNA
.
154
5.1.10
EFFECTIVE
AREA
OF
A
RECEIVING
ANTENNA
.
155
5.2
FREE-SPACE
PATH
LOSS
.
160
6
APPENDIX:
VERIFICATION
OF
THE
CALCULATION
RULES
FOR
VECTOR
ANALYSIS
.
163
6.1
CALCULATION
RULES
.
163
6.2
PROOFS
.
163
6.2.1
PROOF
OF
EQ.
(3.86)
.
163
6.2.2
PROOF
OF
EQ.
(3.87)
.
164
6.2.3
PROOF
OF
EQ.
(3.88)
.
164
6.2.4
PROOF
OF
EQ.
(3.89)
.
166
REFERENCES
.
169
INDEX
.
171 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Donnevert, Jürgen |
| author_GND | (DE-588)1041306989 |
| author_facet | Donnevert, Jürgen |
| author_role | aut |
| author_sort | Donnevert, Jürgen |
| author_variant | j d jd |
| building | Verbundindex |
| bvnumber | BV047088550 |
| classification_rvk | UH 1000 |
| ctrlnum | (OCoLC)1231965813 (DE-599)DNB1203392745 |
| discipline | Physik |
| discipline_str_mv | Physik |
| format | Book |
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| id | DE-604.BV047088550 |
| illustrated | Illustrated |
| index_date | 2024-07-03T16:18:44Z |
| indexdate | 2024-07-10T09:02:15Z |
| institution | BVB |
| isbn | 9783658293758 3658293756 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032495173 |
| oclc_num | 1231965813 |
| open_access_boolean | |
| owner | DE-83 |
| owner_facet | DE-83 |
| physical | xvi, 173 Seiten Illustrationen 24 cm x 16.8 cm |
| publishDate | 2020 |
| publishDateSearch | 2020 |
| publishDateSort | 2020 |
| publisher | Springer Vieweg |
| record_format | marc |
| spelling | Donnevert, Jürgen Verfasser (DE-588)1041306989 aut Maxwell's equations from current density distribution to the radiation field of the Hertzian Dipole Jürgen Donnevert 202007 Wiesbaden ; [Heidelberg] Springer Vieweg [2020] xvi, 173 Seiten Illustrationen 24 cm x 16.8 cm txt rdacontent n rdamedia nc rdacarrier Maxwellsche Gleichungen (DE-588)4221398-8 gnd rswk-swf Maxwellsche Gleichungen (DE-588)4221398-8 s DE-604 9783658293765 eBook Erscheint auch als Online-Ausgabe Donnevert, Jürgen Maxwell's Equations 1st ed. 2020 Wiesbaden : Springer Fachmedien Wiesbaden, 2020 1 Online-Ressource(XVI, 173 p. 100 illus. Textbook for German language market.) 9783658293765 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=0ca18c79dd0a41e7bbf4bd47eb7a5b71&prov=M&dok_var=1&dok_ext=htm 2020-01-29 Verlag Inhaltstext X:MVB http://www.springer.com 2020-01-29 Verlag Unbekannt B:DE-101 application/pdf https://d-nb.info/1203392745/04 2020-11-04 Verlag Inhaltsverzeichnis DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032495173&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Donnevert, Jürgen Maxwell's equations from current density distribution to the radiation field of the Hertzian Dipole Maxwellsche Gleichungen (DE-588)4221398-8 gnd |
| subject_GND | (DE-588)4221398-8 |
| title | Maxwell's equations from current density distribution to the radiation field of the Hertzian Dipole |
| title_auth | Maxwell's equations from current density distribution to the radiation field of the Hertzian Dipole |
| title_exact_search | Maxwell's equations from current density distribution to the radiation field of the Hertzian Dipole |
| title_exact_search_txtP | Maxwell's equations from current density distribution to the radiation field of the Hertzian Dipole |
| title_full | Maxwell's equations from current density distribution to the radiation field of the Hertzian Dipole Jürgen Donnevert |
| title_fullStr | Maxwell's equations from current density distribution to the radiation field of the Hertzian Dipole Jürgen Donnevert |
| title_full_unstemmed | Maxwell's equations from current density distribution to the radiation field of the Hertzian Dipole Jürgen Donnevert |
| title_short | Maxwell's equations |
| title_sort | maxwell s equations from current density distribution to the radiation field of the hertzian dipole |
| title_sub | from current density distribution to the radiation field of the Hertzian Dipole |
| topic | Maxwellsche Gleichungen (DE-588)4221398-8 gnd |
| topic_facet | Maxwellsche Gleichungen |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=0ca18c79dd0a41e7bbf4bd47eb7a5b71&prov=M&dok_var=1&dok_ext=htm http://www.springer.com https://d-nb.info/1203392745/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032495173&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT donnevertjurgen maxwellsequationsfromcurrentdensitydistributiontotheradiationfieldofthehertziandipole |