Laser modeling: a numerical approach with algebra and calculus
"Preface The approach taken in this book is simple present laser theory in an understandable way and one that can be applied immediately, and numerically, to real laser systems. With that in mind, the approach in this text is to present each theory along with a real, solved example...in most ca...
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Boca Raton, FL
CRC Press
2014
|
Schlagworte: | |
Online-Zugang: | Cover image Inhaltsverzeichnis Klappentext |
Zusammenfassung: | "Preface The approach taken in this book is simple present laser theory in an understandable way and one that can be applied immediately, and numerically, to real laser systems. With that in mind, the approach in this text is to present each theory along with a real, solved example...in most cases, based on commercial lasers. As a professor of laser science, I am fortunate to have a lab equipped with many different types of lasers; many of those lasers are included here in examples. In making the theory "accessible," both a calculus-based and an algebraic approach are shown in tandem; a prime example of this is the presentation of both the calculus-based Rigrod model and an algebra-based model for the prediction of various laser parameters in Chapters 3 and 4. Readers drawn to numerically grounded solutions to problems (dare we say "engineers"?) will find the algebraic approach a refreshing demonstration of how concepts actually work and are applied, while those with more mathematical thought processes will appreciate the complementary calculus-based models. Either way, the results are similar (and, as I tell my students, it doesn't matter how you learn it). As an educator, I appreciate the fact that we all learn in different ways. The actual use of algebra-based solutions originated with our four-year bachelor program at Niagara College. Although at the inception of the program we intended to use calculus-based theory exclusively, it became apparent that students were spending more time on the math than on the concepts (i.e., they were often "buried in the math," with the mathematical rigor of solutions getting in the way of understanding the concepts)".. |
Beschreibung: | Includes bibliographical references and index. - Hier auch später erschienene, unveränderte Nachdrucke |
Beschreibung: | XIII, 260 S. |
ISBN: | 9781466582507 9781138071995 |
Internformat
MARC
LEADER | 00000nam a2200000 c 4500 | ||
---|---|---|---|
001 | BV041852078 | ||
003 | DE-604 | ||
005 | 20170925 | ||
007 | t | ||
008 | 140519s2014 xxu |||| 00||| eng d | ||
010 | |a 013049550 | ||
020 | |a 9781466582507 |9 978-1-4665-8250-7 | ||
020 | |a 9781138071995 |c pbk |9 978-1-138-07199-5 | ||
035 | |a (OCoLC)894701445 | ||
035 | |a (DE-599)BVBBV041852078 | ||
040 | |a DE-604 |b ger |e aacr | ||
041 | 0 | |a eng | |
044 | |a xxu |c US | ||
049 | |a DE-703 |a DE-29T |a DE-355 | ||
050 | 0 | |a QC688 | |
082 | 0 | |a 621.36/60151 |2 23 | |
084 | |a UH 5610 |0 (DE-625)145667: |2 rvk | ||
100 | 1 | |a Csele, Mark Steven |e Verfasser |0 (DE-588)1089662238 |4 aut | |
245 | 1 | 0 | |a Laser modeling |b a numerical approach with algebra and calculus |c Mark Steven Csele |
264 | 1 | |a Boca Raton, FL |b CRC Press |c 2014 | |
300 | |a XIII, 260 S. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
500 | |a Includes bibliographical references and index. - Hier auch später erschienene, unveränderte Nachdrucke | ||
520 | |a "Preface The approach taken in this book is simple present laser theory in an understandable way and one that can be applied immediately, and numerically, to real laser systems. With that in mind, the approach in this text is to present each theory along with a real, solved example...in most cases, based on commercial lasers. As a professor of laser science, I am fortunate to have a lab equipped with many different types of lasers; many of those lasers are included here in examples. In making the theory "accessible," both a calculus-based and an algebraic approach are shown in tandem; a prime example of this is the presentation of both the calculus-based Rigrod model and an algebra-based model for the prediction of various laser parameters in Chapters 3 and 4. Readers drawn to numerically grounded solutions to problems (dare we say "engineers"?) will find the algebraic approach a refreshing demonstration of how concepts actually work and are applied, while those with more mathematical thought processes will appreciate the complementary calculus-based models. Either way, the results are similar (and, as I tell my students, it doesn't matter how you learn it). As an educator, I appreciate the fact that we all learn in different ways. The actual use of algebra-based solutions originated with our four-year bachelor program at Niagara College. Although at the inception of the program we intended to use calculus-based theory exclusively, it became apparent that students were spending more time on the math than on the concepts (i.e., they were often "buried in the math," with the mathematical rigor of solutions getting in the way of understanding the concepts)".. | ||
650 | 7 | |a TECHNOLOGY & ENGINEERING / Lasers & Photonics |2 bisacsh | |
650 | 7 | |a TECHNOLOGY & ENGINEERING / Mobile & Wireless Communications |2 bisacsh | |
650 | 4 | |a Mathematisches Modell | |
650 | 4 | |a Lasers |x Mathematical models | |
650 | 4 | |a Laser beams |x Mathematical models | |
650 | 4 | |a Numerical analysis | |
650 | 4 | |a TECHNOLOGY & ENGINEERING / Lasers & Photonics | |
650 | 4 | |a TECHNOLOGY & ENGINEERING / Mobile & Wireless Communications | |
856 | 4 | |u http://images.tandf.co.uk/common/jackets/websmall/978146658/9781466582507.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=027296517&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=027296517&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |3 Klappentext |
999 | |a oai:aleph.bib-bvb.de:BVB01-027296517 |
Datensatz im Suchindex
_version_ | 1804152199072186368 |
---|---|
adam_text | Contents
Preface
.......................................................................................................................ix
The Author
.............................................................................................................xiii
Chapter
1
Basic Laser Processes
...........................................................................1
1.1
The Laser and Laser Light
........................................................1
1.2
Atomic Processes of the Laser
..................................................3
1.3
Three- and Four-Level Systems
................................................9
1.4
Rate Equations
.........................................................................12
1.5
Level Lifetime
.........................................................................16
1.6
Laser Gain
...............................................................................20
1.7
Losses in a Laser
.....................................................................21
1.8
Cavity Optics
...........................................................................22
1.9
Optical Characteristics (Longitudinal and Transverse Modes)
... 25
References
..........................................................................................28
Chapter
2
Threshold Gain
...................................................................................29
2.1
Gain and Loss: Achieving Lasing
...........................................29
2.2
The Gain Threshold Equation
.................................................30
2.3
The Tale of Two Gains: g0 and gth
...........................................43
2.4
Application of gth: Determining g0
..........................................45
2.5
An Atomic View of Gain: Cross-Section
................................51
2.6
Applications of the Gain Threshold Equation: Designing
Laser Optics
.............................................................................54
2.7
A Theoretical Prediction of Pumping Threshold
....................60
References
..........................................................................................68
Chapter
3
Gain Saturation
..................................................................................69
3.1
Gain Is Not Constant
...............................................................69
3.2
A Third Gain Figure: Saturated Gain
.....................................69
3.3
Saturation Intensity
..................................................................70
3.4
Saturated Gain and Intra-Cavity Power
..................................74
3.5
Slope Efficiency
.......................................................................78
3.6
Predicting Output Power
.........................................................79
3.7
Minimum Pump Power Revisited
...........................................82
3.8
Alternative Notations
...............................................................83
3.9
A Model for Power Development in a Laser
...........................85
vi
Contents
3.10
Improving the Model for Use with High-Gain Lasers
............92
3.11
Determining Cavity Decay Parameters
.................................103
References
........................................................................................106
Chapter
4
Analytical Solutions
.........................................................................107
4.1
The Rigrod Approach
............................................................107
4.2
Ring Lasers
............................................................................113
4.3
Optimal Output Coupling
......................................................116
References
........................................................................................118
Chapter
5
Thermal Issues
.................................................................................119
5.1
Thermal Populations and Re-Absorption Loss
.....................119
5.2
Quasi-Three-Level Systems
...................................................121
5.3
Quantum Defect Heating
.......................................................123
5.4
Thermal Populations at Threshold
........................................125
5.5
Thermal Populations in an Operating Laser
.........................131
5.6
Thermal Effects on Laser Diodes (Wavelength)
...................135
5.7
Modeling the Effects of Temperature on Laser Diodes
(Wavelength)
..........................................................................139
5.8
Thermal Effects on Laser Diodes (Power and Threshold)....
147
5.9
Low Power DPSS Design
......................................................149
5.10
Scaling DPSS Lasers to High Powers
...................................153
References
........................................................................................155
Chapter
6
Generating Massive Inversions through Q-Switching
.....................157
6Л
Inversion Buildup
..................................................................157
6.2
Q-Switch Loss
.......................................................................161
6.3
AOM Switches
.......................................................................162
6.4
ЕОМ
Switches
.......................................................................166
6.5
Passive Q-Switches
................................................................171
6.6
A Model for Pulse Power
.......................................................175
6.7
Multiple Pulse Output
............................................................179
6.8
Modeling Flashlamp-Pumped Lasers
...................................187
6.9
Repetitively Pulsed Q-Switched Lasers
................................193
6.10
Giant First Pulse
....................................................................195
6.11
Ultra-Fast Pulses: Modelocking
............................................197
Chapter
7
Non-Linear Optics
............................................................................203
7.1
Origins of Non-Linear Effects
..............................................203
7.2
Phase Matching
.....................................................................206
7.3
Non-Linear Materials
............................................................208
7.4
Practical Conversion Efficiency
............................................209
Contents
vii
7.5 Applications
to
Laser Design................................................210
7.6 Application
to
DPSS Design.................................................212
7.6.1
The Simple Approach
...............................................213
7.6.2 The Rigrod
Approach
...............................................214
Reference..........................................................................................
217
Chapter
8
Common Lasers and Parameters
......................................................219
8.1
CW Gas Lasers
......................................................................219
8.1.1
The Helium-Neon (HeNe) Gas Laser
.......................219
8.1.2
Ion Gas Lasers
..........................................................221
8.1.3
The Carbon Dioxide (CCX,) Gas Laser
.....................225
8.2
Pulsed Gas Lasers
.................................................................228
8.2.1
TEA CO2 Lasers
.......................................................228
8.2.2
Excimer Gas Lasers
..................................................229
8.3
Semiconductor (Diode) Lasers
..............................................231
8.4
Solid-State Lasers
..................................................................236
8.4.1
The Ruby Laser
........................................................236
8.4.2
Side-Pumped Nd:YAG Lasers
..................................239
8.4.3
End-Pumped Nd:YAG Lasers
...................................241
8.4.4
Other YAG Lasers
....................................................244
8.4.5
Other Solid-State Lasers
..........................................246
Reference
..........................................................................................247
Index
......................................................................................................................249
A Nunerical Approach with
Algebra
and
Calculai
Offering
a
fresh take on laser engineering, User Modeling: A Numerical
Approach with Algebra and Calculus presents
algebrák;
models and
traditional calculus-based methods in tandem to make concepts easier to
digest and apply
И
the reel world. Each technique is introduced alongside a
practical, solved example based on a commercial laser. Assuming some
knowledge of the nature of light, emission of radiation, and basic atomic
physics» the text
•
Explains how to formulate an accurate gain threshold equationas
welt as determine small-signal gain
•
Discusses gain saturation and introduces a novel pass-by-pass
model
för
rapid implementation of what If? scenarios
•
Outlines the calculus-based Rigrod approach in a simplified manner
to aid in comprehension
•
Considers thermal effects on solid-state lasers and other lasers
with new and efficient quasi-three-level materials
•
Demonstrates how the convolution method is used to predict the
effect of temperature drift on a DPSS system
provides a simple model for predicting output power
•
Addresses non-linear optics and supplies a simple modelfor
calculating optimal crystal length
•
Examines common laser systems, answering basic design questions
and summarizing parameters
•
Includes downloadable Microsoft9 Excel111 spreadsheets,
allowing models to be customized for specific lasers
Don t let the mathematical rigor of solutions get in the way of understanding
the concepts. Laser Modeling: A Numerical Approach with Algebra and
Calculus covers laser theory in an accessible way that can be applied
immediately, and numerically, to real laser systems.
|
any_adam_object | 1 |
author | Csele, Mark Steven |
author_GND | (DE-588)1089662238 |
author_facet | Csele, Mark Steven |
author_role | aut |
author_sort | Csele, Mark Steven |
author_variant | m s c ms msc |
building | Verbundindex |
bvnumber | BV041852078 |
callnumber-first | Q - Science |
callnumber-label | QC688 |
callnumber-raw | QC688 |
callnumber-search | QC688 |
callnumber-sort | QC 3688 |
callnumber-subject | QC - Physics |
classification_rvk | UH 5610 |
ctrlnum | (OCoLC)894701445 (DE-599)BVBBV041852078 |
dewey-full | 621.36/60151 |
dewey-hundreds | 600 - Technology (Applied sciences) |
dewey-ones | 621 - Applied physics |
dewey-raw | 621.36/60151 |
dewey-search | 621.36/60151 |
dewey-sort | 3621.36 560151 |
dewey-tens | 620 - Engineering and allied operations |
discipline | Physik Elektrotechnik / Elektronik / Nachrichtentechnik |
format | Book |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03920nam a2200481 c 4500</leader><controlfield tag="001">BV041852078</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20170925 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">140519s2014 xxu |||| 00||| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">013049550</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781466582507</subfield><subfield code="9">978-1-4665-8250-7</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781138071995</subfield><subfield code="c">pbk</subfield><subfield code="9">978-1-138-07199-5</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)894701445</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV041852078</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-355</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QC688</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">621.36/60151</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UH 5610</subfield><subfield code="0">(DE-625)145667:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Csele, Mark Steven</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1089662238</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Laser modeling</subfield><subfield code="b">a numerical approach with algebra and calculus</subfield><subfield code="c">Mark Steven Csele</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boca Raton, FL</subfield><subfield code="b">CRC Press</subfield><subfield code="c">2014</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XIII, 260 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index. - Hier auch später erschienene, unveränderte Nachdrucke</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">"Preface The approach taken in this book is simple present laser theory in an understandable way and one that can be applied immediately, and numerically, to real laser systems. With that in mind, the approach in this text is to present each theory along with a real, solved example...in most cases, based on commercial lasers. As a professor of laser science, I am fortunate to have a lab equipped with many different types of lasers; many of those lasers are included here in examples. In making the theory "accessible," both a calculus-based and an algebraic approach are shown in tandem; a prime example of this is the presentation of both the calculus-based Rigrod model and an algebra-based model for the prediction of various laser parameters in Chapters 3 and 4. Readers drawn to numerically grounded solutions to problems (dare we say "engineers"?) will find the algebraic approach a refreshing demonstration of how concepts actually work and are applied, while those with more mathematical thought processes will appreciate the complementary calculus-based models. Either way, the results are similar (and, as I tell my students, it doesn't matter how you learn it). As an educator, I appreciate the fact that we all learn in different ways. The actual use of algebra-based solutions originated with our four-year bachelor program at Niagara College. Although at the inception of the program we intended to use calculus-based theory exclusively, it became apparent that students were spending more time on the math than on the concepts (i.e., they were often "buried in the math," with the mathematical rigor of solutions getting in the way of understanding the concepts)"..</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">TECHNOLOGY & ENGINEERING / Lasers & Photonics</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">TECHNOLOGY & ENGINEERING / Mobile & Wireless Communications</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematisches Modell</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Lasers</subfield><subfield code="x">Mathematical models</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Laser beams</subfield><subfield code="x">Mathematical models</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Numerical analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">TECHNOLOGY & ENGINEERING / Lasers & Photonics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">TECHNOLOGY & ENGINEERING / Mobile & Wireless Communications</subfield></datafield><datafield tag="856" ind1="4" ind2=" "><subfield code="u">http://images.tandf.co.uk/common/jackets/websmall/978146658/9781466582507.jpg</subfield><subfield code="3">Cover image</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027296517&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027296517&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Klappentext</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027296517</subfield></datafield></record></collection> |
id | DE-604.BV041852078 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T01:06:55Z |
institution | BVB |
isbn | 9781466582507 9781138071995 |
language | English |
lccn | 013049550 |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027296517 |
oclc_num | 894701445 |
open_access_boolean | |
owner | DE-703 DE-29T DE-355 DE-BY-UBR |
owner_facet | DE-703 DE-29T DE-355 DE-BY-UBR |
physical | XIII, 260 S. |
publishDate | 2014 |
publishDateSearch | 2014 |
publishDateSort | 2014 |
publisher | CRC Press |
record_format | marc |
spelling | Csele, Mark Steven Verfasser (DE-588)1089662238 aut Laser modeling a numerical approach with algebra and calculus Mark Steven Csele Boca Raton, FL CRC Press 2014 XIII, 260 S. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index. - Hier auch später erschienene, unveränderte Nachdrucke "Preface The approach taken in this book is simple present laser theory in an understandable way and one that can be applied immediately, and numerically, to real laser systems. With that in mind, the approach in this text is to present each theory along with a real, solved example...in most cases, based on commercial lasers. As a professor of laser science, I am fortunate to have a lab equipped with many different types of lasers; many of those lasers are included here in examples. In making the theory "accessible," both a calculus-based and an algebraic approach are shown in tandem; a prime example of this is the presentation of both the calculus-based Rigrod model and an algebra-based model for the prediction of various laser parameters in Chapters 3 and 4. Readers drawn to numerically grounded solutions to problems (dare we say "engineers"?) will find the algebraic approach a refreshing demonstration of how concepts actually work and are applied, while those with more mathematical thought processes will appreciate the complementary calculus-based models. Either way, the results are similar (and, as I tell my students, it doesn't matter how you learn it). As an educator, I appreciate the fact that we all learn in different ways. The actual use of algebra-based solutions originated with our four-year bachelor program at Niagara College. Although at the inception of the program we intended to use calculus-based theory exclusively, it became apparent that students were spending more time on the math than on the concepts (i.e., they were often "buried in the math," with the mathematical rigor of solutions getting in the way of understanding the concepts)".. TECHNOLOGY & ENGINEERING / Lasers & Photonics bisacsh TECHNOLOGY & ENGINEERING / Mobile & Wireless Communications bisacsh Mathematisches Modell Lasers Mathematical models Laser beams Mathematical models Numerical analysis TECHNOLOGY & ENGINEERING / Lasers & Photonics TECHNOLOGY & ENGINEERING / Mobile & Wireless Communications http://images.tandf.co.uk/common/jackets/websmall/978146658/9781466582507.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=027296517&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=027296517&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
spellingShingle | Csele, Mark Steven Laser modeling a numerical approach with algebra and calculus TECHNOLOGY & ENGINEERING / Lasers & Photonics bisacsh TECHNOLOGY & ENGINEERING / Mobile & Wireless Communications bisacsh Mathematisches Modell Lasers Mathematical models Laser beams Mathematical models Numerical analysis TECHNOLOGY & ENGINEERING / Lasers & Photonics TECHNOLOGY & ENGINEERING / Mobile & Wireless Communications |
title | Laser modeling a numerical approach with algebra and calculus |
title_auth | Laser modeling a numerical approach with algebra and calculus |
title_exact_search | Laser modeling a numerical approach with algebra and calculus |
title_full | Laser modeling a numerical approach with algebra and calculus Mark Steven Csele |
title_fullStr | Laser modeling a numerical approach with algebra and calculus Mark Steven Csele |
title_full_unstemmed | Laser modeling a numerical approach with algebra and calculus Mark Steven Csele |
title_short | Laser modeling |
title_sort | laser modeling a numerical approach with algebra and calculus |
title_sub | a numerical approach with algebra and calculus |
topic | TECHNOLOGY & ENGINEERING / Lasers & Photonics bisacsh TECHNOLOGY & ENGINEERING / Mobile & Wireless Communications bisacsh Mathematisches Modell Lasers Mathematical models Laser beams Mathematical models Numerical analysis TECHNOLOGY & ENGINEERING / Lasers & Photonics TECHNOLOGY & ENGINEERING / Mobile & Wireless Communications |
topic_facet | TECHNOLOGY & ENGINEERING / Lasers & Photonics TECHNOLOGY & ENGINEERING / Mobile & Wireless Communications Mathematisches Modell Lasers Mathematical models Laser beams Mathematical models Numerical analysis |
url | http://images.tandf.co.uk/common/jackets/websmall/978146658/9781466582507.jpg http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027296517&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=027296517&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT cselemarksteven lasermodelinganumericalapproachwithalgebraandcalculus |