Laser beam propagation in nonlinear optical media:
Gespeichert in:
Hauptverfasser: | , |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Boca Raton, FL
Taylor & Francis
2014
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Schlagworte: | |
Online-Zugang: | Cover image Inhaltsverzeichnis Klappentext |
Beschreibung: | Includes bibliographical references and index |
Beschreibung: | XXIX, 304 S. |
ISBN: | 9781439866382 |
Internformat
MARC
LEADER | 00000nam a2200000 c 4500 | ||
---|---|---|---|
001 | BV041772321 | ||
003 | DE-604 | ||
005 | 20150319 | ||
007 | t | ||
008 | 140402s2014 xxu |||| 00||| eng d | ||
010 | |a 013035169 | ||
020 | |a 9781439866382 |9 978-1-4398-6638-2 | ||
035 | |a (OCoLC)888005962 | ||
035 | |a (DE-599)BVBBV041772321 | ||
040 | |a DE-604 |b ger |e aacr | ||
041 | 0 | |a eng | |
044 | |a xxu |c US | ||
049 | |a DE-703 |a DE-29T | ||
050 | 0 | |a QC389 | |
082 | 0 | |a 621.36/6 |2 23 | |
084 | |a UH 5690 |0 (DE-625)145686: |2 rvk | ||
100 | 1 | |a Guha, Shekhar |e Verfasser |0 (DE-588)1046169432 |4 aut | |
245 | 1 | 0 | |a Laser beam propagation in nonlinear optical media |c Shekhar Guha and Leonel P. Gonzalez |
264 | 1 | |a Boca Raton, FL |b Taylor & Francis |c 2014 | |
300 | |a XXIX, 304 S. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
500 | |a Includes bibliographical references and index | ||
650 | 7 | |a SCIENCE / Physics |2 bisacsh | |
650 | 7 | |a TECHNOLOGY & ENGINEERING / Lasers & Photonics |2 bisacsh | |
650 | 4 | |a Mathematik | |
650 | 4 | |a Mathematisches Modell | |
650 | 4 | |a Light |x Transmission |x Mathematical models | |
650 | 4 | |a Laser beams |x Mathematical models | |
650 | 4 | |a Nonlinear optics |x Mathematics | |
650 | 4 | |a Crystal optics |x Mathematics | |
650 | 4 | |a SCIENCE / Physics | |
650 | 4 | |a TECHNOLOGY & ENGINEERING / Lasers & Photonics | |
700 | 1 | |a Gonzalez, Leonel P. |e Verfasser |0 (DE-588)104616970X |4 aut | |
856 | 4 | |u http://images.tandf.co.uk/common/jackets/websmall/978143986/9781439866382.jpg |3 Cover image | |
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=027218287&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
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=027218287&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |3 Klappentext |
999 | |a oai:aleph.bib-bvb.de:BVB01-027218287 |
Datensatz im Suchindex
_version_ | 1804152081519476736 |
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adam_text | Contents
List of Figures
xiii
List of Tables
xxi
Proface
xxv
Author Biographies
xxvii
Acknowledgements
xxix
1
Light Propagation in
Anisotropie
Crystals
1
L L
Introduction
........................... 1
1.2
Vectors Associated with Light Propagation
.......... 2
1.2.1
Plane waves
........................ 3
1.2.2
Non-plane waves
..................... 4
1..4
Anisotropie
Media
........................ 5
I.
.4.1
The principal coordinate axes
.............. 6
1.-4.2
Three, crystal classes
................... 7
1.3..4
The principal refractive indices
............. 7
1.4
Light Propagation in an Anisotropic^Crystal
......... 8
1.4.1
Allowed directions of
D
and
E in
an anisotropic medium
9
1.4.2
Values of
n
for a given propagation direction
..... 11
1.4..4
Directions of
D
and
E
for the slow and fast waves
. . 12
1.5
Characteristics of the Slow and the Fast Waves in a Biaxial
Crystal
.............................. 15
1.5.1
ns and
u
ƒ......................... 15
1.5.2
f)H and
p j.........................
17
1.5..4
The components of ds and dj
.............. 17
1.5.4
The components of c.s and
êj
.............. 19
1.0
Double Refraction and Optic Axes
............... 21
l.fi.l Expressions for components of
d
in terms of the angles
θ, φ
and
П
........................ 24
1.0.2
Relating the angle
б
to S2,
θ
and
φ
........... 27
1.0.3
Directions of
E
and
S
.................. 29
1.0.4
The walk-off angles pH and p/
.............. 31
1.0.5
An interim summary
................... 32
VII
viii
Contents
1.7
Propagation
along the Principal Axes and along the
Principiu
Planes
............................... 33
1.7.1
Introduction
....................... 33
1.7.2
Propagation along the principal axes
A , Y
and
Z
. . 34
1.7.3
Propagation along the principal plain1
У
Z
....... 35
1.7.4
к
along
Υ Ζ
plane,
Case
1:
ηχ
<
ηγ
<
ηχ
..... 35
1.7.5
к
along
Υ Ζ
plane,
Case
2:
ηχ
>
ηγ
>
η χ
.....
. Ì7
1.7.
G Propagation
along the principal plane ZX
....... 38
1.7.7
к
along ZX plane, Case la:
ηχ
<
ηγ
<
η χ,
0 <
íl
38
1.7.8
k
along ZX plane, Case lh:
ηχ < ηγ < η χ, β
>
íl
40
1.7.9
к
along
Z
X plane, Case 2a:
η .γ > ηγ
>
η χ,
0 <
íl
-10
1.7.10
к
along ZX plane, Case 2b:
η χ
>
ηγ
>
ηζ,θ>ί1
41
1.7.11
Propagation along the principal plane
А У
....... 11
1.7.12
к
along XY plane, Caw·
1:
ηχ < ηγ < ηκ
..... -12
1.7.13
к
along XY plane,
Сане
2:
η χ
>
ηγ
>
ηχ
.....
-ΊΜ
1.7.14
Summary of the cases of propagation along principal
planes
...........................
M
1.8
Uniaxial
Crystals
........................ ■15
1.8.1
Field directions of the
D
and
E
vectors for extraordinary
and ordinary waves
.................... 47
1.8.2
ρ φ
0
Case (extraordinary wave)
............ 4
S
1.8.3
Another expression relating
ρ
and
θ
.......... 50
1.8.4
ρ
— 0
Case (ordinary wave)
............... 52
1.8.5
Two special cases:
θ
= 0
and
θ
- 90°.......... 53
1.9
Propagation Equation in the Presence of Walk-off
...... 54
1.9.1
Transformation between laboratory and crystal
coordinate systems
.................... 55
1.9.2
The propagation equation in the presence of walk-off
. 55
2
Nonlinear Optical Processes
61
2.1
Introduction
...........................
(il
2.2
Second Order Susceptibility
................... 02
2.3
Properties of
χ{2)
........................ 65
2.3.1
Properties of x^ away from resonance1
......... 07
2.3.2
Kleinman s symmetry
.................. 07
2.4
d
Coefficients and the Contracted Notation
.......... 07
2.4.1
d
Coefficients under
Kleinman
symmetry
....... 08
2.5
The
Non-
Zero
d
Coefficients of Biaxial Crystals
....... 09
2.6
The Non-Zero
d
Coefficients of
Uniaxial
Crystals
....... 70
2.7
Nonlinear Polarizations
..................... 72
2.7.1
Nondegenerate
sum frequency generation
....... 72
2.7.2
Difference frequency generation
............. 73
2.7.3
Second harmonic generation (SHG)
........... 74
2.7.4
Optical rectification
................... 75
Con
f
(ills
2.75
5
Convention used for numbering the three interacting
beams of light
........................ 75
2.7
Aí
Summary of polarization components for non-degenerate
three wave mixing
.................... 75
2.7.7
Summary of polarization components for degenerate
three wave mixing (SHG and degenerate parametric
mixing)
.......................... 77
2.
S
I YcqiKMKv Conversion and Phase Matching
.......... 78
2.
(S.I Phase matching in
biréfringent
crystals
........ 80
2.N.2
Calculai
ion of phase matching angles
.......... 83
2.!)
Walk-Oil Angles
......................... 84
2.Í).
1 (
alculat ion of walk-off angles in the phase matched case
in KTP
.......................... 84
Л
VliTiH .i iw.
d
Coefficient, for Three-Wave Mixing Processes
89
• M
Introduci
ion
........................... 89
3.1.1
Definition of
(l,ciţ
..................... 90
3.1.2
Effective nonlinearity for
nondegenerate
three wave
mixing
processos
..................... 91
ΛΑ. Λ
Effective nonlinearity for the degenerate three wave
mixing process
...................... 92
3.1.1
Typt
I degenerate three wave mixing process
..... 93
3.
1
.5
Type II degenerate three wave mixing process
..... 93
3.2
Expressions for <7,.fr
....................... 94
3.2.
J
ѓ/(.|г
of biaxial crystals under Kleinman Symmetry
Condition
......................... 95
3.2.2
Reduction of dt.( to expressions in the literature
. . . 100
3.3
ґ/(,(г
Values for Some Biaxial and
Uniaxial
Crystals of Different
Classes
.............................. 101
3.3.1
dvtf for KTP for propagation in a general direction
. . 102
3.3.1.1
dvfí
for KTP for a Type I (ssf) mixing process
103
3.3.1.2
rfeff for KTP for a Type Il(sff) mixing process
104
3.3.1.3
r¿eff
for KTP for a Type Il(fsf) mixing process
105
3.3.2
c/eff for KTP for propagation along principal planes
. . 106
3.4
dvii for
Uniaxial
Crystals
.................... 109
3.5
r/(lfr for
Isotropie
Crystals
.................... 114
3.5.1
The direction of the nonlinear polarization
...... 119
3.5.2
Propagation along principal planes
.......... 121
3.5.H Propagation through orientation patterned material
. 124
4
Nonlinear Propagation Equations and Solutions
137
4.1
Nonlinear Propagation Equations
............... 137
4.1.1
Normalized form of the three wave mixing equations
. 140
4.2
Solutions to the Three Wave Mixing Equations in the Absence
of Diffraction, Beam Walk-off and Absorption
........ 141
С
on ten Is
4.2.1
An interlude
-
the Manley-Rowe relations
....... 1-М
4.2.2
Back to solutions of the three wave mixing equations
. 14.4
4.2.3
Another interlude
-
Jaeobian elliptic functions
.....
l-lľi
4.2.4
Return to the solution of
t
ho coupled three wave mixing
equations
......................... 1 17
4.3
Unseeded Sum Frequency Generation (u/i
4-
uj-¿
=
ω
-л)
.... 148
4.3.1
SFG
irradiano«
for eollimatod beams
witłi
no phase
matching
(σ φ-
0)
and with no pump depletion
.... 1
)
4.3.2
SFG irradiance for collimated beams with phase match¬
ing
(σ
= 0)
and with pump depletion
.......... 150
4.3.3
SFG power and energy conversion efficiency for
collimated beams with arbitrary spatial and temporal
shapes
...........................
І г> І
4.3.4
SFG power and energy conversion efficiency for
collimated Gaussian beams
............... 151
4.3.5
SFG power and energy conversion efficiency for
collimated Gaussian beams with phase mismatch (rr
/
0)
and no pump depletion
................
15<;
4.3.0
Some» results of SFG power and energy conversion
efficiency for collimated Gaussian beams
........ 158
4.3.7
SFG conversion efficiency for focused Gaussian beams
15!)
4.3.8
Optimization of focusing parameters for SFG
.....
Hi
1
4.4
Unseeded Second Harmonic Generation
( 2ωρ
=
ωΜ)
.....
Ifííi
4.4.1
Solution of SHG equations in the absence of diffract ion,
beam walk-off and absorption
..............
líiíi
4.4.2
Another interlude
-
the Manlcy-Rowe relations for SIIG H>8
4.4.3
Back to the solutions of SHG equations
........
10K
4.4.4
SHG irradiance for collimated beams with no phase
matching
(σ Φ
0)
and with no pump depletion
.... 170
4.4.5
SHG irradiance for collimated beams with phase1 match¬
ing
(σ
— 0)
and with pump depletion
......... 171
4.4.6
SHG power and energy conversion efficiency for
collimated beams
..................... 172
4.4.7
SHG power and energy conversion efficiency for
collimated Gaussian beams
............... 1 74
4.4.8
SHG power and energy conversion efficiency for
collimated Gaussian beams with phase matching
(σ
=
0)
in presence of pump depletion
............
L7fi
4.4.9
SHG power and energy conversion efficiency for
collimated Gaussian beams with no pump depletion
. 1
Tí)
4.4.10
SHG conversion efficiency for focused Gaussian beams
180
4.4.11
An interlude
-
Boyd and Kleinman theory for SHG
. . 183
4.4.12
Return to the case of SHG for focused Gaussian beams
including pump depletion effects
............ 184
4.4.13
Optimum value of the focusing parameter
....... 184
Contents
Xl
4.4.14
Analytical
(
fitted) expressions for SHG conversion effi¬
ciency
/^„,
,
optimized with respect to
σ
........ 187
4.4.
1 Γ)
Analytical expressions for SHG conversion efficiency
/ .sunn, optimized with respect to
σ
and
ξρ
....... 190
4.Γ)
UíiseíHled
Difference Frequency Generation
(ωι = ω$
—
u^)
· 192
4.5.1 DFG
iriadiance
for collimated beams with no phase
matching
(σ
/ 0)
and with no pump depletion
.... 194
4.5.2 DFG
і
iradia
nee for collimated beams with phase match¬
ing
(σ
- 0)
in presence; of pump depletion
....... 196
5
Quasi-Phase
Matching
201
5.1
Quasi-
Ρ
luwe.
Matching, QPM
.................. 201
5.1.1
Plane wave analysis of quasi phase matching
..... 202
5.2
Flfcets of Focusing and Pump Depletion on Quasi Phase
Matched SHG
.......................... 204
5.2.1
Quasi phase matched SHG for collimated beams, with
Λ ι
/ 0,
and with no pump depletion
.......... 206
5.2.2
Fii ects of focusing and pump depletion on quasi phase
matched SHG
....................... 208
0
Optical Parametric Oscillation
213
(i.l Optical Parametric Oscillation
................. 213
(i. I
.
I Plane wave analysis of
ΟΡΟ
(SRO) including phase mis¬
match and pump depletion
............... 214
fi.
1.2
ΟΡΟ
efficiency and threshold for collimated Gaussian
beams
........................... 217
ii.L. i Results for the case of collimated Gaussian beams in¬
cluding phase mismatch
................. 220
β.
1.4
SRO with focused Gaussian beams
........... 220
(i. í
.5
Results of optimization of the focusing parameters in an
SRO
............................ 225
7
Numerical Beam Propagation Methods
229
7.1
Introduction
........................... 229
7.2
Propagation
in
Linear Media
.................. 230
7.2.1
Hankel Transform Method
................ 230
7.2.2
Fourier Transform Method
............... 236
7.3
Propagation in Nonlinear Media
................ 237
7.3.1
Split Step Method
.................... 237
7.4
Application Examples
...................... 238
7.4.
L
Phase Retrieval
...................... 238
7.4.2
Second Harmonic Generation
.............. 239
хи
Contents
A Computer Codes for SFG Efficiency
245
A.I The
MATLAB
Codes for the
Collimateci
Gaussian Beam Case
245
A.I.I The file sfg_PE.m
..................... 245
A.
1.2
The file getysfg-p.m for the power conversion efficiency
246
A.
1.3
The file getysfg-e.m for the energy conversion efficiency
247
A.
2
The Fortran Code for the Focused Beam Case of SHG
.... 247
A.2.1 The file sfgJimm.f
.................... 248
A.2.2 sfg/imm-in.txt
....................... 258
A.2.3 sfg_hmm_fileout.txt
.................... 259
В
Computer Codes for SHG Efficiency
261
B.I
MATLAB
Code for SHG Efficiency of Collimated Gaussian
Beams
.............................. 261
B.I.I shgJPE.m
......................... 261
B.I.
2
The file getyshgJLm for the irradiance conversion effi¬
ciency
........................... 262
B.1.3 The file getyshg-P.m for the power conversion efficiency
262
B.I.
4
The file getyshg_E.m for the energy conversion efficiency
262
B.2 The Fortran Code for the Focused Beam Case of SHG
.... 263
B.2.1 The file sfgJimax.f
.................... 263
B.2.
2
shg_hmax_in.txt
..................... 273
B.2.3 shgJimax_fileout.txt
................... 273
С
The Fortran Source Code for QPM-SHG Efficiency
275
C.I qpmshg.f
............................. 275
C.2 qpmshg_in.txt
.......................... 284
C.3 qpmshg_fileout.txt
........................ 285
D
The Fortran Source Code for
ΟΡΟ
Threshold and Efficiency
287
D.I
ΟΡΟ.
f...............................
287
Index
299
Electrical Engineering
This is very unique and promises to be an extremely useful guide to
a host of workers in the field. The authors have given a generalized
presentation likely to cover most if not all situations to be encountered
in the laboratory, yet also highlight several specific examples that
clearly illustrate the methods. They have provided an admirable
contribution to the community. If someone makes their living by
designing lasers, optical parametric oscillators or other devices
employing nonlinear crystals, or designing experiments incorporating
laser beam propagation through linear or nonlinear media, then this
book will be a welcome addition to their bookshelf.
—Richard Sutherland, Mount Vernon
Nazarene
University, Ohio, USA
Laser Beam Propagation in Nonlinear Optical Media provides a
collection of expressions, equations, formulas, and derivations used
in calculating laser beam propagation through linear and nonlinear
media which are useful for predicting experimental results.
The authors address light propagation in an
isotropie media,
oscillation
directions of the electric field and displacement vectors, the walk-off
angles between the Poynting and propagation vectors, and effective
values of the
d
coefficient for
biaxial, uniaxial,
and
isotropie
crystals.
They delve into solutions of the coupled three wave mixing equations
for various nonlinear optical processes, including quasi-phase
matching and optical parametric oscillation, and discuss focusing
effects and numerical techniques used for beam propagation analysis
in nonlinear media, and phase retrieval technique. The book also
includes examples of
MATLAB
and FORTRAN computer programs
for numerical evaluations.
An ideal resource for students taking graduate-level courses in non¬
linear optics, Laser Beam Propagation in Nonlinear Optical Media
can also be used as a reference for practicing professionals.
|
any_adam_object | 1 |
author | Guha, Shekhar Gonzalez, Leonel P. |
author_GND | (DE-588)1046169432 (DE-588)104616970X |
author_facet | Guha, Shekhar Gonzalez, Leonel P. |
author_role | aut aut |
author_sort | Guha, Shekhar |
author_variant | s g sg l p g lp lpg |
building | Verbundindex |
bvnumber | BV041772321 |
callnumber-first | Q - Science |
callnumber-label | QC389 |
callnumber-raw | QC389 |
callnumber-search | QC389 |
callnumber-sort | QC 3389 |
callnumber-subject | QC - Physics |
classification_rvk | UH 5690 |
ctrlnum | (OCoLC)888005962 (DE-599)BVBBV041772321 |
dewey-full | 621.36/6 |
dewey-hundreds | 600 - Technology (Applied sciences) |
dewey-ones | 621 - Applied physics |
dewey-raw | 621.36/6 |
dewey-search | 621.36/6 |
dewey-sort | 3621.36 16 |
dewey-tens | 620 - Engineering and allied operations |
discipline | Physik Elektrotechnik / Elektronik / Nachrichtentechnik |
format | Book |
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id | DE-604.BV041772321 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T01:05:02Z |
institution | BVB |
isbn | 9781439866382 |
language | English |
lccn | 013035169 |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027218287 |
oclc_num | 888005962 |
open_access_boolean | |
owner | DE-703 DE-29T |
owner_facet | DE-703 DE-29T |
physical | XXIX, 304 S. |
publishDate | 2014 |
publishDateSearch | 2014 |
publishDateSort | 2014 |
publisher | Taylor & Francis |
record_format | marc |
spelling | Guha, Shekhar Verfasser (DE-588)1046169432 aut Laser beam propagation in nonlinear optical media Shekhar Guha and Leonel P. Gonzalez Boca Raton, FL Taylor & Francis 2014 XXIX, 304 S. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index SCIENCE / Physics bisacsh TECHNOLOGY & ENGINEERING / Lasers & Photonics bisacsh Mathematik Mathematisches Modell Light Transmission Mathematical models Laser beams Mathematical models Nonlinear optics Mathematics Crystal optics Mathematics SCIENCE / Physics TECHNOLOGY & ENGINEERING / Lasers & Photonics Gonzalez, Leonel P. Verfasser (DE-588)104616970X aut http://images.tandf.co.uk/common/jackets/websmall/978143986/9781439866382.jpg Cover image 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=027218287&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 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=027218287&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
spellingShingle | Guha, Shekhar Gonzalez, Leonel P. Laser beam propagation in nonlinear optical media SCIENCE / Physics bisacsh TECHNOLOGY & ENGINEERING / Lasers & Photonics bisacsh Mathematik Mathematisches Modell Light Transmission Mathematical models Laser beams Mathematical models Nonlinear optics Mathematics Crystal optics Mathematics SCIENCE / Physics TECHNOLOGY & ENGINEERING / Lasers & Photonics |
title | Laser beam propagation in nonlinear optical media |
title_auth | Laser beam propagation in nonlinear optical media |
title_exact_search | Laser beam propagation in nonlinear optical media |
title_full | Laser beam propagation in nonlinear optical media Shekhar Guha and Leonel P. Gonzalez |
title_fullStr | Laser beam propagation in nonlinear optical media Shekhar Guha and Leonel P. Gonzalez |
title_full_unstemmed | Laser beam propagation in nonlinear optical media Shekhar Guha and Leonel P. Gonzalez |
title_short | Laser beam propagation in nonlinear optical media |
title_sort | laser beam propagation in nonlinear optical media |
topic | SCIENCE / Physics bisacsh TECHNOLOGY & ENGINEERING / Lasers & Photonics bisacsh Mathematik Mathematisches Modell Light Transmission Mathematical models Laser beams Mathematical models Nonlinear optics Mathematics Crystal optics Mathematics SCIENCE / Physics TECHNOLOGY & ENGINEERING / Lasers & Photonics |
topic_facet | SCIENCE / Physics TECHNOLOGY & ENGINEERING / Lasers & Photonics Mathematik Mathematisches Modell Light Transmission Mathematical models Laser beams Mathematical models Nonlinear optics Mathematics Crystal optics Mathematics |
url | http://images.tandf.co.uk/common/jackets/websmall/978143986/9781439866382.jpg http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027218287&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027218287&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT guhashekhar laserbeampropagationinnonlinearopticalmedia AT gonzalezleonelp laserbeampropagationinnonlinearopticalmedia |