Verfügbarkeit: Quantum optics for engineers

Quantum optics for engineers:

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1. Verfasser:	Duarte, F. J. 1954- (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Boca Raton, FL [u.a.] CRC Press Taylor & Francis 2014
Schlagworte:	Quantum optics Quantenoptik
Online-Zugang:	Inhaltsverzeichnis Klappentext
Beschreibung:	Includes bibliographical references and index. - Hier auch später erschienene, unveränderte Nachdrucke
Beschreibung:	XXXI, 411 S. Ill., graph. Darst.
ISBN:	9781439888537 9781138077546

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Datensatz im Suchindex

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adam_text	Contents List of Figures ........................................................................................................xv List of Tables .....................................................................................................xxvii Preface .................................................................................................................xxix Author .................................................................................................................xxxi 1. Introduction .....................................................................................................1 1.1 Introduction ...........................................................................................1 1.2 Brief Historical Perspective .................................................................1 1.3 Principles of Quantum Mechanics .....................................................3 1.4 The Feynman Lectures on Physics ..........................................................4 1.5 Photon .....................................................................................................5 1.6 Quantum Optics ....................................................................................7 1.7 Quantum Optics for Engineers ...........................................................9 References .........................................................................................................9 2. Planck s Quantum Energy Equation ........................................................13 2.1 Introduction .........................................................................................13 2.2 Planck s Equation and Wave Optics .................................................14 References .......................................................................................................15 3. Uncertainty Principle ...................................................................................17 3.1 Heisenberg Uncertainty Principle ....................................................17 3.2 Wave-Particle Duality ........................................................................18 3.3 Feynman Approximation ..................................................................19 3.3.1 Example ...................................................................................20 3.4 Interferometrie Approximation ........................................................21 3.5 Minimum Uncertainty Principle ......................................................23 3.6 Generalized Uncertainty Principle ...................................................25 3.7 Additional Versions of the Heisenberg Uncertainty Principle .....27 3.7.1 Example ...................................................................................28 3.8 Applications of the Uncertainty Principle in Optics ......................29 3.8.1 Beam Divergence ...................................................................29 3.8.2 Beam Divergence and Astronomy ......................................31 3.8.3 Uncertainty Principle and the Cavity Linewidth Equation ..................................................................................32 3.8.4 Tuning Laser Microcavities ..................................................33 3.8.5 Sub-Microcavities ..................................................................35 Problems ..........................................................................................................36 References .......................................................................................................36 vn viii Contents 4. Di rac Quantum Optics ................................................................................39 4.1 Dirne Notation in Optics ....................................................................39 4.2 Dime Quantum Principles................................................................. 43 4.3 Interference and the Interferometrie Equation ...............................43 4.3. 1 Examples: Double-, Triple-, Quadruple-, and Quintuple-Slit Interference ...................................................46 4.3.2 Geometry of the /V-SIit Interferometer ................................47 4.3.3 Diffraction Grating Equation ...............................................48 4.3.4 /V-SIit Interferometer Experiment ........................................50 4.4 Coherent and Sem ¡coherent Interferograms ...................................56 4.5 Interferometrie Equation in Two and Three Dimensions .............58 4.6 Classical and Quantum Alternatives ...............................................59 Problems ..........................................................................................................60 References .......................................................................................................60 5. Interference, Diffraction, Refraction, and Reflection via the Dirac Notation .................................................................................63 5.1 Introduction .........................................................................................63 5.2 Interference and Diffraction ..............................................................63 5.2.1 Generalized Diffraction ........................................................67 5.2.2 Positive Diffraction 72 72 5.3 Positive and Negative Refraction .................................................. 5.3.1 Focusing ..................................................................................74 5.4 Reflection ..............................................................................................74 5.5 Succinct Description of Optics ..........................................................75 Problems ..........................................................................................................77 References .......................................................................................................77 6. Generalized Multiple-Prism Dispersion .................................................79 6.1 Introduction .........................................................................................79 6.2 Generalized Multiple-Prism Dispersion ..........................................80 6.2.1 Example: Generalized Single-Prism Dispersion ...............83 6.3 Double-Pass Generalized Multiple-Prism Dispersion ...................84 6.3.1 Design of Zero-Dispersion Multiple-Prism Beam Expanders ...............................................................................86 6.4 Multiple-Return-Pass Generalized Multiple-Prism Dispersion.... 88 6.4.1 Multiple-Prism Beam Compressors ....................................90 6.5 Multiple-Prism Dispersion and Laser Pulse Compression ...........91 6.5.1 Example: Single-Prism Pulse Compressor .........................93 6.5.2 Example: Double-Prism Pulse Compressor .......................93 6.5.3 Example: Four-Prism Pulse Compressor ............................94 Problems ..........................................................................................................95 References .......................................................................................................95 Contents ix 7. Dirac Notation Identities ............................................................................97 7.1 Useful Identities.................................................................................. 97 7.1.1 Example ...................................................................................99 7.2 Linear Operations .............................................................................100 7.2.1 Example .................................................................................101 Problems ........................................................................................................101 References .....................................................................................................102 8. Laser Excitation ...........................................................................................103 8.1 Introduction .......................................................................................103 8.2 Brief Laser Overview ........................................................................103 8.2.1 Laser Optics ..........................................................................105 8.3 Laser Excitation .................................................................................105 8.3.1 Electrically Excited Gas Lasers ..........................................105 8.3.2 Optically Pumped Gas and Liquid Lasers .......................108 8.3.3 Optically Pumped Solid-State Lasers ...............................110 8.3.4 Electrically Excited Semiconductor Lasers ......................112 8.4 Excitation and Emission Dynamics ................................................113 8.4.1 Rate Equations for a Two-Level System ............................113 8.4.2 Dynamics of a Multiple-Level System ..............................115 8.4.3 Long-Pulse Approximation ................................................118 8.4.4 Example .................................................................................119 8.5 Quantum Transition Probabilities and Cross Sections ...............119 8.5.1 Long-Pulse Approximation ................................................124 Problems ........................................................................................................124 References .....................................................................................................125 9. Laser Oscillators Described via the Dirac Notation ...........................127 9.1 Introduction .......................................................................................127 9.2 Transverse and Longitudinal Modes .............................................129 9.2.1 Transverse-Mode Structure ................................................129 9.2.2 Double- and Single-Longitudinal-Mode Emission .........132 9.2.2.1 Example .................................................................135 9.3 Laser Cavity Equation: An Intuitive Approach ............................136 9.4 Laser Cavity Equation via the Interferometrie Equation ............138 Problems ........................................................................................................140 References .....................................................................................................140 10. Interferometry via the Dirac Notation ...................................................143 10.1 Interference à la Dirac .......................................................................143 10.2 Hanbury Brown-Twiss Interferometer ..........................................144 10.3 Two-Beam Interferometers ..............................................................146 10.3.1 Sagnac Interferometer .........................................................146 10.3.2 Mach-Zehnder Interferometer ...........................................148 10.3.3 Michelson Interferometer ...................................................150 Contents 10.4 Multiple-Beam Interferometers .......................................................151 10.5 N-Slit Interferometer as a Wavelength Meter ............................... 156 10.6 Ramsey Interferometer .....................................................................158 Problems ........................................................................................................ 160 References ..................................................................................................... 160 11. Secure Interferometric Communications in Free Space ..................... 163 11.1 introduction ....................................................................................... 163 11.2 Theory ................................................................................................. 164 11.3 N-Slit Interferometer for Secure Tree-Space Optical Communications ............................................................................... 165 11.4 Interferometric Characters ............................................................... 166 11.5 Propagation in Terrestrial Free Space ............................................172 11.5.1 Clear-Air Turbulence ........................................................... 175 11.6 Discussion ..........................................................................................176 Problems ........................................................................................................177 References .....................................................................................................177 12. Schrödinger s Equation .............................................................................179 12.1 Introduction .......................................................................................179 12.2 Schrödinger s Mind ..........................................................................179 12.3 Heuristic Explicit Approach to Schrödinger s Equation .............182 12.4 Schrödinger s Equation via the Dirac Notation ............................184 12.5 Time-Independent Schrödinger s Equation ..................................186 12.5.1 Quantized Energy Levels ...................................................186 12.5.2 Semiconductor Emission ....................................................187 12.5.3 Quantum Wells ....................................................................188 12.5.4 Quantum Cascade Lasers ...................................................190 12.5.5 Quantum Dots ......................................................................191 12.6 Introduction to the Hydrogen Equation ........................................192 Problems ........................................................................................................193 References .....................................................................................................196 13. Introduction to Feynman Path Integrals ...............................................197 13.1 Introduction .......................................................................................197 13.2 Classical Action .................................................................................197 13.3 Quantum Link ...................................................................................199 13.4 Propagation through a Slit and the Uncertainty Principle .........200 13.4.1 Discussion .............................................................................203 13.5 Feynman Diagrams in Optics .........................................................203 Problems ........................................................................................................205 References .....................................................................................................205 Contents xi 14. Matrix Aspects of Quantum Mechanics ................................................207 14.1 Introduction .......................................................................................207 14.2 Introduction to Vector and Matrix Algebra ..................................207 14.2.1 Vector Algebra ......................................................................207 14.2.2 Matrix Algebra .....................................................................211 14.3 Quantum Operators .........................................................................214 14.3.1 Position Operator .................................................................214 14.3.2 Momentum Operator ..........................................................215 14.3.3 Example .................................................................................217 14.3.4 Energy Operator ...................................................................218 14.3.5 Heisenberg Equation of Motion .........................................218 14.4 Pauli Matrices ....................................................................................219 14.4.1 Pauli Matrices for Spin One-Half Particles ......................221 14.5 Introduction to the Density Matrix ................................................222 14.5.1 Examples ...............................................................................224 14.5.2 Transitions via the Density Matrix ....................................225 Problems ........................................................................................................226 References .....................................................................................................227 15. Classical Polarization ................................................................................229 15.1 Introduction .......................................................................................229 15.2 Maxwell Equations ...........................................................................229 15.3 Polarization and Reflection ..............................................................231 15.3.1 Plane of Incidence ................................................................234 15.4 Jones Calculus ....................................................................................235 15.4.1 Example .................................................................................237 15.5 Polarizing Prisms ..............................................................................238 15.5.1 Transmission Efficiency in Multiple-Prism Arrays .........238 15.5.2 Induced Polarization in a Double-Prism Beam Expander ...............................................................................238 15.5.3 Double-Refraction Polarizers .............................................240 15.5.4 Attenuation of the Intensity of Laser Beams Using Polarization ...........................................................................243 15.6 Polarization Rotators ........................................................................244 15.6.1 Biréfringent Polarization Rotators .....................................245 15.6.1.1 Example .................................................................245 15.6.2 Broadband Prismatic Polarization Rotators .....................246 15.6.2.1 Example .................................................................246 Problems ........................................................................................................249 References .....................................................................................................250 16. Quantum Polarization ...............................................................................251 16.1 Introduction .......................................................................................251 16.2 Linear Polarization ............................................................................251 16.2.1 Example .................................................................................253 xii Contents 16.3 Polarization as a Two-State System ................................................255 Ί6.3.Ί Diagonal Polarization ..........................................................255 Ί 6.3.2 Circular Polarization ...........................................................256 16.4 Density Matrix Notation ..................................................................258 16.4.1 Stokes Parameters and Pauli Matrices ..............................260 16.4.2 Density Matrix and Circular Polarization .......................262 16.4.3 Example .................................................................................262 Problems ........................................................................................................263 References .....................................................................................................263 17. Entangled Polarizations: Probability Amplitudes and Experimental Configurations ...........................................................265 17.1 Introduction .......................................................................................265 17.2 Marnil ton і a η Λ pproach ....................................................................265 17.2.1 Example .................................................................................26« 17.3 Interferometrie Approach ................................................................264 17.4 Pryce-Ward-Snyder Probability Amplitudu of Entanglement .....270 17.5 Pryce-Ward-Snyder Probability .....................................................273 17.6 Pryce-Ward Experimental Arrangement ......................................274 17.7 Wu-Shaknov Experiment ................................................................274 17.7.1 Relevance of the Pryce-Ward Theory and the Wu-Shaknov Experiment to EPR .......................275 17.8 Conclusion ..........................................................................................276 Problems ........................................................................................................276 References .....................................................................................................277 18. Quantum Computing ................................................................................279 18.1 Introduction .......................................................................................279 18.2 interferometrie Computer ................................................................280 18.3 Classical Logic Gates ........................................................................283 18.4 Qubits ..................................................................................................286 18.5 Quantum Logic .................................................................................287 18.5.1 Pauli Matrices and Quantum Logic ..................................288 18.5.2 Quantum Gates ....................................................................289 Problems ........................................................................................................290 References .....................................................................................................290 19. Quantum Cryptography and Teleportation ..........................................293 19.1 Introduction .......................................................................................293 19.2 Quantum Cryptography ..................................................................295 19.2.1 Bennett and Brassard Approach ........................................295 19.2.2 Polarization Entanglement Approach ..............................298 19.3 Quantum Teleportation ....................................................................301 Problems ........................................................................................................305 References .....................................................................................................306 Contents xiii 20. Quantum Measurements.......................................................................... 307 20.1 Introduction .......................................................................................307 20.2 Interferometrie Irreversible Measurements ..................................308 20.2.1 Additional Irreversible Quantum Measurements ..........310 20.3 Quantum Nondemolition Measurements .....................................310 20.4 Soft Polarization Measurements .....................................................311 20.5 Soft Intersection of Interferometrie Characters ............................312 20.5.1 Comparison between Theoretical and Measured /V-Slit Interferograms ...........................................................314 20.5.2 Soft Interferometrie Probing ..............................................320 20.5.3 Mechanics of Soft Interferometrie Probing ......................321 20.5.4 Discussion .............................................................................322 Problems ........................................................................................................323 References .....................................................................................................323 21. Interpretational Issues in Quantum Mechanics ..................................325 21.1 Introduction .......................................................................................325 21.2 EPR ......................................................................................................325 21.3 Bohm Polarization Projection of the EPR Argument ...................327 21.4 Bell s Inequalities ..............................................................................327 21.4.1 Example .................................................................................329 21.4.2 Discussion .............................................................................330 21.5 Some Prominent Quantum Physicists on Issues of Interpretation ................................................................................330 21.6 Eisenberg s Uncertainty Principle and EPR ..................................332 21.7 van Kampen s Quantum Theorems ...............................................333 21.8 On Probabilities and Probability Amplitudes ..............................334 21.9 Comment on the Interpretational Issue .........................................336 Problems ........................................................................................................337 References .....................................................................................................337 Appendix A: Survey of Laser Emission Characteristics ............................339 Appendix B: Brief Survey of Laser Resonators and Laser Cavities ........357 Appendix C: Ray Transfer Matrices ...............................................................367 Appendix D: Multiple-Prism Dispersion Series .........................................377 Appendix E: Complex Numbers .....................................................................379 Appendix F: Trigonometric Identities ...........................................................383 Appendix G: Calculus Basics ..........................................................................385 Appendix H: Poincaré s Space .........................................................................387 Appendix I: N-Slit Interferometrie Calculations ........................................389 xiv Contents Appendix J: N-Slit Interferometrie Calculations — Numerical Approach ....................................................................................... 3СЛЗ Appendix К: Physical Constants and Optical Quantities .........................347 Index .....................................................................................................................401 Quantum Optics FOR ENGINEERS Quantum Optics for Engineers provides a transparent and methodical introduction to quantum optics via the Dirac s bra-ket notation with an emphasis on practical applications and basic aspects of quantum mechanics such as Heisenbergs uncertainty principle and Schrodinger s equation. Self-contained and using mainly first-year calculus and algebra tools, the book: • Illustrates the interferometrie quantum origin of fundamental optical principles such as diffraction, refraction, and reflection • Provides a transparent introduction, via Dirac s notation, to the probability amplitude of quantum entanglement Explains applications of the probability amplitude of quantum entanglement to optical communications, quantum cryptography, quantum teleportation, and quantum computing Quantum Optics for Engineers is succinct, transparent, and practical, revealing the intriguing world of quantum entanglement via many practical examples. Ample illustrations are used throughout its presentation and the theory is presented in a methodical, detailed approach.
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spelling	Duarte, F. J. 1954- Verfasser (DE-588)1034348876 aut Quantum optics for engineers F. J. Duarte Boca Raton, FL [u.a.] CRC Press Taylor & Francis 2014 XXXI, 411 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index. - Hier auch später erschienene, unveränderte Nachdrucke Quantum optics Quantenoptik (DE-588)4047990-0 gnd rswk-swf Quantenoptik (DE-588)4047990-0 s DE-604 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=027218223&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=027218223&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext
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