Light propagation in linear optical media:
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton, Fla. [u.a.]
CRC Press
2014
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVIII, 370 S. Ill., graph. Darst. 24 cm |
| ISBN: | 9781482210941 |
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MARC
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| 010 | |a 2013034925 | ||
| 020 | |a 9781482210941 |c hardback |9 978-1-4822-1094-1 | ||
| 035 | |a (OCoLC)869894880 | ||
| 035 | |a (DE-599)GBV767967674 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
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| 100 | 1 | |a Gillen, Glen D. |d 1972- |e Verfasser |0 (DE-588)104697467X |4 aut | |
| 245 | 1 | 0 | |a Light propagation in linear optical media |c Glen D. Gillen and Katharina Gillen ; Shekhar Guha |
| 264 | 1 | |a Boca Raton, Fla. [u.a.] |b CRC Press |c 2014 | |
| 300 | |a XVIII, 370 S. |b Ill., graph. Darst. |c 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Light |x Transmission | |
| 650 | 4 | |a Electromagnetic waves | |
| 700 | 1 | |a Gillen, Katharina |d 1977- |e Verfasser |0 (DE-588)1046975390 |4 aut | |
| 700 | 1 | |a Guha, Shekhar |e Verfasser |0 (DE-588)1046169432 |4 aut | |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027046033&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027046033 | ||
Record in the Search Index
| _version_ | 1804151799729356800 |
|---|---|
| adam_text | Contents Q
Preface
xiii
About the Authors
xvii
1
Electromagnetic Fields and Origin of Light
1
1.1
Introduction
........................... 1
1.2
Electric Fields
.......................... 2
1.3
Magnetic Fields
......................... 3
1.4
Electromagnetism
........................ 4
1.5
Vector and Scalar Potentials
.................. 6
1.6
Hertz Vector Potential
..................... 8
1-7
Radiation from an Orbiting Charge
.............. 9
1.8
Poynting Vector
......................... 13
1.9
Radiation from a Classical Atom
................ 14
1.10
A Quantum Mechanical Interlude
............... 15
1.10.1
Blackbody
Radiation
.................. 15
1.10.2
Planck s Theory of Light Quanta
........... 16
1.10.3
Photoelectric Effect
................... 17
1.10.4
Einstein s Theory of Photons
............. 18
1.10.5
Wave Particle Duality of Matter
............ 19
1.10.6
The Particle-Function of Classical Mechanics
.... 19
1.10.7
The Wavefunction of Quantum Mechanics
...... 20
1.10.8
The Schrodinger Equation
............... 22
1.10.9
Wavefunctions of Electrons in a Stable Atom
.... 23
1.10.10
Atomic Radiation
.................... 24
1.11
Units and Dimensions
...................... 26
Bibliography
.............................. 27
2
Electromagnetic Waves in Linear Media
29
2.1
Maxwell s Equations in Linear Media
............. 29
2.2
Electromagnetic Waves in Linear Source-Free Media
..... 32
2.3
Maxwell s Equations in Vacuum
................ 35
2.4
Plane Waves
........................... 36
2.5
Polarization States of Light
................... 42
vu
Contents
2.5.1
Special Case
1:
Linear Polarization
.......... 44
2.5.2
Special Case
2:
фх
-
фу
=
^
............. 45
2.5.3
Special Case
3:
Ax
=
Ay
................ 47
2.6
Spherical Waves
......................... 49
Light Propagation in
Anisotropie
Crystals
53
3.1
Introduction
........................... 53
3.2
Vectors Associated with Light Propagation
.......... 54
3.2.1
Plane Waves
....................... 55
3.2.2
Non-Plane Waves
.................... 56
3.3 Anisotropie
Media
........................ 57
3.3.1
The Principal Coordinate Axes
............ 58
3.3.2
Three Crystal Classes
................. 59
3.3.3
The Principal Refractive Indices
............ 59
3.4
Light Propagation in an
Anisotropie
Crystal
......... 60
3.4.1
Allowed Directions of
D
and
E in
an
Anisotropie
Medium
......................... 61
3.4.2
Values of
η
for a Given Propagation Direction
.... 63
3.4.3
Directions of
D
and
E
for the Slow and Fast Waves
64
3.5
Characteristics of the Slow and Fast Waves in a Biaxial Crystal
67
3.5.1
ns and
nj
........................ 67
3.5.2
ps and ps
........................ 69
3.5.3
The Components of
ûfs
and df
............. 69
3.5.4
The Components of es and
ê/
............. 71
3.6
Double Refraction and Optic Axes
............... 73
3.6.1
Expressions for Components of
d
in Terms of the
Angles
θ> φ,
and
Ω...................
76
3.6.2
Relating the Angle
б
to
Ω, Θ,
and
φ
.......... 78
3.6.3
Directions of
E
and
S
................. 81
3.6.4
The Walk-Off Angles pg and pf
............ 83
3.6.5
An Interim Summary
.................. 84
3.7
Propagation along the Principal Axes and along the Principal
Planes
............................... 85
3.7.1
Introduction
....................... 85
3.7.2
Propagation along the Principal Axes X, Y, and
Ζ
. 85
3.7.3
Propagation along the Principal Plane
Υ Ζ......
87
3.7.4
к
along
Υ Ζ
Plane, Case
1:
ηχ
<
ηγ
<
ηζ
- - - · 87
3.7.5
к
along
Υ Ζ
Plane,
Case
2:
nx
>
ηγ
>
nz
. . . . 89
3.7.6
Propagation
along the
Principal Plane ZX
...... 90
3.7.7
к
along
ZX Plane, Case la:
ηχ
<
ηγ
<
nz,
Ö <
Ω
90
3.7.8
к
along ZX Plane, Case lb: nx
<
nY
<
nz,
θ > Ω
92
3.7.9
к
along
Ζ
X Plane, Case 2a:
η χ
>
ηγ
>
ηζ, θ
<
Ω
92
3.7.10
к
along
Ζ Χ
Plane, Case 2b:
ηχ
>
ηγ
>
nz,0>Q
93
3.7.11
Propagation along the Principal Plane XY
..... 94
Contents ix
3.7.12
к
along XY Plane, Case
1:
nx
<
nY
<
nz
. . - - 94
3.7.13
к
along XY Plane, Case
2:
η χ
>
ηγ
>
nz
■ ■ - - 96
3.7.14
Summary of the Cases of Propagation along Principal
Planes
.......................... 97
3.8
Uniaxial
Crystals
........................ 97
3.8.1
Field Directions of the
D
and
E
Vectors for Extraor¬
dinary and Ordinary Waves
.............. 100
3.8.2
ρ φ
0
Case (Extraordinary Wave)
........... 102
3.8.3
Another Expression Relating
ρ
and
θ
......... 104
3.8.4
ρ
= 0
Case (Ordinary Wave)
............. 106
3.8.5
Two Special Cases:
θ
= 0
and
θ
= 90° ........ 106
3.9
Propagation Equation in Presence of Walk-Off
........ 107
3.9.1
Transformation between Laboratory and Crystal
Coordinate Systems
.................. 108
3.9.2
The Propagation Equation in Presence of Walk-Off
. 109
Bibliography
..............................
Ill
4
Wave Propagation across the Interface of Two Homogeneous
Media
113
4.1
Reflection and Refraction at a Planar Interface
........ 113
4.2
Fresnel Reflection and Transmission Coefficients
....... 116
4.3
Reflection and Refraction at an Interface Not Normal to a
Cartesian Axis
.......................... 121
5
Light Propagation in a Dielectric Waveguide
123
5.1
Conditions for Guided Waves
.................. 123
5.2
Field Amplitudes for Guided Waves
.............. 127
5.2.1
ТЕ
Modes
........................ 130
5.2.2
TM Modes
........................ 134
5.2.3
Evanescent Waves
.................... 138
Bibliography
.............................. 139
6
Paraxial Propagation of Gaussian Beams
141
6.1
Introduction
........................... 141
6.1.1
Paraxial Wave Equation
................ 142
6.2
TEMoo Gaussian Beam Propagation and Parameters
.... 143
6.3
A BCD Matrix Treatment of Gaussian Beam Propagation
. . 148
6.3.1
ABCD Matrices
..................... 149
6.3.2
Propagation of a Gaussian Beam through Multiple
Optical Elements
.................... 150
6.3.3
Focusing a Gaussian Beam by a Thin Lens
...... 153
6.4
Higher-Order Gaussian Beams
................. 163
x
Contents
6.4.1
Hermite-
Gaussian Beams
................ 164
6.4.2 Laguerre-Gaussian (LG)
Beams
............ 165
6.5 Azimuthai and Radial
Polarization
............... 169
6.6
M2
Parameter
.......................... 171
6.6.1
Historical Evolution of
M2
............... 172
6.6.2
Current Usage of M2
.................. 173
Bibliography
.............................. 175
7
Scalar and Vector Diffraction Theories
177
7.1
Scalar Diffraction Theories
................... 178
7.1.1 Ray leigh-Sommerfeld
Diffraction Integral
....... 180
7.1.2
Fresnel-Kirchhoff Diffraction Integral
......... 181
7.2
Comparisons of Scalar Diffraction Model Calculations
.... 182
7.3
Verification of
Snelľs
Laws Using Diffraction
......... 185
7.4
Vector Diffraction Theories
................... 189
7.5
Hertz Vector Diffraction Theory (HVDT)
........... 190
7.5.1
Double Integral Forms for the Field Components
. . 191
7.5.2
Single Integral Forms for the Field Components
. . . 192
7.6 Kirchhoff
Vector Diffraction Theory (KVDT)
......... 197
7.7
Analytical On-Axis Expressions and Calculations
...... 201
7.7.1
Analytical On-Axis Expressions Using HVDT
.... 201
7.7.2
Analytical On-Axis Expressions Using KVDT
.... 202
7.8
Power Transmission Function
.................. 203
Bibliography
.............................. 205
8
Calculations for Plane Waves Incident upon Various
Apertures
209
8.1
Beam Distributions in the Aperture Plane, Circular Aperture
209
8.2
Beam Distributions beyond the Aperture Plane for a Circular
Aperture
............................. 215
8.2.1
On-Axis Calculations
.................. 215
8.2.2
Diffracted Beam Shapes
................ 216
8.3
The Longitudinal Component of the Electric Field, Ez
... 216
8.4
Beam Distributions in the Aperture Plane, Elliptical Aperture
221
8.5
Beam Distributions beyond the Aperture Plane for
an Elliptical Aperture
...................... 226
8.6
Beam Distributions in the Aperture Plane for a Square
Aperture
............................. 227
8.7
Beam Distributions beyond the Aperture Plane for a Square
Aperture
............................. 231
Bibliography
.............................. 234
Contents xi
9
Vector
Diffraction
across a Curved
Interface
235
9.1
Introduction
........................... 235
9.2
Theoretical
Setup, Case
1
vs. Case
2.............. 237
9.2.1
Case
1,
Light
Propagation
across a Convex Boundary
into an Optically Thicker Medium
.......... 237
9.2.2
Case
2,
Light Propagation across a Concave Boundary
into an Optically Thinner Medium
.......... 237
9.3
Vector Diffraction Theory at a Spherical Surface, Case
1 . . 238
9.4
Normalization and Simplification, Case
1 ........... 241
9.5
Calculation of Electromagnetic Fields and Poynting Vectors,
Case
1 .............................. 245
9.6
Summary, Case
1 ........................ 252
9.7
Introduction, Case
2....................... 252
9.8
Theoretical Setup, Case
2.................... 253
9.9
Theory, Case
2.......................... 255
9.9.1
Normally Incident Light, Case
2............ 258
9.9.2
Light Incident at an Angle, Case
2.......... 260
9.10
Normal Incidence Calculations, Case
2 ............ 262
9.11
Spherical Aberration, Case
2.................. 263
9.12
Off-Axis Focusing and Coma, Case
2 ............. 266
9.12.1
Single Beam
....................... 266
9.12.2
Two Beams
....................... 269
Bibliography
.............................. 270
10
Diffraction of Gaussian Beams
273
10.1
Gaussian Hertz Vector Diffraction Theory, GHVDT
..... 273
10.2
Validation of GHVDT
...................... 276
10.3
Calculations of Clipped Gaussian Beams Using GHVDT
. . 282
10.3.1
The Region between
Ρ
ure-
Diffraction and
Unperturbed Behavior
................. 282
10.3.2
Effect of Diffraction on the M2 Parameter
...... 283
10.3.3
Radial and Longitudinal Intensities
.......... 286
10.3.4
Maximum Obtainable Irradiance for Clipped Gaussian
Beams
.......................... 288
10.4
Longitudinal Field Component in the Unperturbed Paraxial
Approximation
.......................... 289
10.5
Gaussian Beam Propagation Using Luneberg s Vector
Diffraction Theory
........................ 291
10.6
Analytical Model for Clipped Gaussian Beams
........ 294
10.7
Calculations and Measurements for Clipped Gaussian Beams
299
Bibliography
.............................. 303
xii
Contents
11
Trapping Cold Atoms with Laser Light
305
11.1
Introduction to Trapping Atoms Using Light Fields
..... 305
11.2
Optical
Dipole
Trapping Potential Energy
.......... 306
11.3
Diffracted Light Just beyond a Circular Aperture
...... 311
11.3.1
Choosing a Propagation Model, HVDT
........ 312
11.3.2
Calculated Light Fields and Atom Trap Potentials
. 315
11.4
Projection of Diffraction Patterns
............... 318
11.4.1
Choosing a Beam Propagation Model, Fresnel
Diffraction
........................ 319
11.4.2
Projection Calculations
................. 324
11.5
Polarization-Dependent Atomic
Dipole
Traps
......... 329
11.5.1
Theory of the Polarization Dependence of the Optical
Dipole
Trapping Potential Energy
........... 331
11.5.2
Computational Results for Atom Traps beyond
a Circular Aperture
................... 334
11.5.3
Bringing Atom Iraps Together and Apart for Two-
Qubit Operations
.................... 342
Bibliography
.............................. 344
A Complex Phase Notation, Engineer s vs. Physicist s
347
A.I Sinusoidal Waves
......................... 347
A.2 Complex Notation Using Euler s Formulas
.......... 348
A.3 Engineer s vs. Physicist s Notation
............... 350
A.
4
Use of Engineer s and Physicist s Complex Notation in This
Book
............................... 352
A.5 Some Commonly Used Electrodynamics and Optics Books
. 352
Index
355
|
| any_adam_object | 1 |
| author | Gillen, Glen D. 1972- Gillen, Katharina 1977- Guha, Shekhar |
| author_GND | (DE-588)104697467X (DE-588)1046975390 (DE-588)1046169432 |
| author_facet | Gillen, Glen D. 1972- Gillen, Katharina 1977- Guha, Shekhar |
| author_role | aut aut aut |
| author_sort | Gillen, Glen D. 1972- |
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| bvnumber | BV041604887 |
| callnumber-first | Q - Science |
| callnumber-label | QC389 |
| callnumber-raw | QC389 |
| callnumber-search | QC389 |
| callnumber-sort | QC 3389 |
| callnumber-subject | QC - Physics |
| classification_rvk | UH 3000 UH 5000 |
| ctrlnum | (OCoLC)869894880 (DE-599)GBV767967674 |
| dewey-full | 535/.32 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 535 - Light and related radiation |
| dewey-raw | 535/.32 |
| dewey-search | 535/.32 |
| dewey-sort | 3535 232 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV041604887 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T01:00:34Z |
| institution | BVB |
| isbn | 9781482210941 |
| language | English |
| lccn | 2013034925 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027046033 |
| oclc_num | 869894880 |
| open_access_boolean | |
| owner | DE-19 DE-BY-UBM DE-703 DE-29T |
| owner_facet | DE-19 DE-BY-UBM DE-703 DE-29T |
| physical | XVIII, 370 S. Ill., graph. Darst. 24 cm |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | CRC Press |
| record_format | marc |
| spelling | Gillen, Glen D. 1972- Verfasser (DE-588)104697467X aut Light propagation in linear optical media Glen D. Gillen and Katharina Gillen ; Shekhar Guha Boca Raton, Fla. [u.a.] CRC Press 2014 XVIII, 370 S. Ill., graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Light Transmission Electromagnetic waves Gillen, Katharina 1977- Verfasser (DE-588)1046975390 aut Guha, Shekhar Verfasser (DE-588)1046169432 aut Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027046033&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gillen, Glen D. 1972- Gillen, Katharina 1977- Guha, Shekhar Light propagation in linear optical media Light Transmission Electromagnetic waves |
| title | Light propagation in linear optical media |
| title_auth | Light propagation in linear optical media |
| title_exact_search | Light propagation in linear optical media |
| title_full | Light propagation in linear optical media Glen D. Gillen and Katharina Gillen ; Shekhar Guha |
| title_fullStr | Light propagation in linear optical media Glen D. Gillen and Katharina Gillen ; Shekhar Guha |
| title_full_unstemmed | Light propagation in linear optical media Glen D. Gillen and Katharina Gillen ; Shekhar Guha |
| title_short | Light propagation in linear optical media |
| title_sort | light propagation in linear optical media |
| topic | Light Transmission Electromagnetic waves |
| topic_facet | Light Transmission Electromagnetic waves |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027046033&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT gillenglend lightpropagationinlinearopticalmedia AT gillenkatharina lightpropagationinlinearopticalmedia AT guhashekhar lightpropagationinlinearopticalmedia |