QUANTUM OPTICS FOR ENGINEERS

F. J. Duarte, Quantum Optics for Engineers (Taylor & Francis, New York, 2014)

ISBN: 978-1-43-988853-7 (Note: title released on November 26, 2013.)

Quantum Optics for Engineers includes: some 190 figures, numerous tables, some 1000 equations, many worked out examples, about 100 problems, a large number of archival references, in about 472 pages. A corrigenda is available in PDF form.

It provides a transparent, and methodical, introduction to Dirac's bra ket notation.
It introduces quantum mechanics via Dirac's notation with an emphasis on practical applications.
It uses Dirac's notation to derive basic aspects of quantum mechanics such as Heisenberg's uncertainty principle and Schrodinger's equation.
It illustrates the interferometric quantum origin of diffraction, refraction, and reflection.
It provides a transparent introduction, via Dirac's notation, to the probability amplitude of quantum entanglement.
It explain applications of quantum entanglement to communications, cryptography, and teleportation.
A self contained book that uses mainly first year calculus and algebra tools while avoiding specialized mathematical techniques.
It illustrates theoretical principles via the use of worked out examples.

Quantum Optics for Engineers at Amazon

Quantum Optics for Engineers Barnes & Noble

Call number at Library of Congress: QC446.2 .D83 2014

REVIEWS

"Duarte's book is a welcome addition to the family of optics texts because he stresses fundamental connections between classical and quantum optics. His review of the bedrock theory and experiments of several of the founders of quantum physics provides an instructive transition to recent developments in quantum optics, such as photon entanglement. Perhaps the most appealing aspect of this book is the treatment of classical optical concepts and phenomena in terms of a quantum formalism...Both graduate students and the experienced researcher will find this treatment of quantum optics to be illuminating and valuable...I look forward to having a copy in my personal library."

Professor J. Gary Eden, Electrical and Computer Engineering, University of Illinois

"Quantum Optics for Engineers is an original and unique book that describes classical and quantum optical phenomena, and the synergy between these two subjects, from an interferometric perspective. Dirac’s notation is used ... [to] provide a lucid explanation of quantum polarization entanglement. The book will serve engineers with a minimum knowledge of quantum mechanics ... to understand modern experiments with lasers, optical communications, and the intriguing world of quantum entanglement."

Professor Ignacio E. Olivares, Universidad de Santiago de Chile

"Quantum Optics for Engineers provides a transparent and succinct description of the fundamentals of quantum optics using Dirac’s notation and ample illustrations. Particularly valuable is the explanation and elucidation of quantum entanglement from an interferometric perspective. The cohesiveness provided by the unified use of Dirac’s notation, emphasizing physics rather than mathematics, is particularly useful for those trained in engineering. This will be a valuable asset to any optical engineer’s library."

Anne M. Miller, RR Donnelley, USA

"This book is a concise and comprehensive presentation of numerous fundamental concepts related to the light nature and its interaction with matter. A very structured and logical route reveals step by step the rigorous theory of quantum optics. To some extent, the whole project can be fairly defined as unique. One of the heaviest tools in quantum optics, operator representation, is introduced in a very clear and straightforward way. Nature foundations and rather complicated mathematical tools are brought in a very elegant manner such that readers suddenly find themselves as experts in areas they would consider untouchable magic. The intriguing world of quantum entanglement is revealed via many practical examples."

Professor Sergei Popov, Royal Institute of Technology, Sweden

Chapter 1: Introduction
- Introduction
- Brief Historical perspective
- The Principles of Quantum Mechanics
- The Feynman Lectures on Physics
- Photon
- Quantum Optics
- Quantum Optics for Engineers
- References
Chapter 2: Planck’s Quantum Energy Equation
- Introduction
- Planck's Equation and Wave Optics
- References
Chapter 3: The Uncertainty Principle
- Heisenberg Uncertainty Principle
- Wave-Particle Duality
- Feynman Approximation
  - Example
- Interferometric Approximation
- Minimum Uncertainty Principle
- Generalized Uncertainty Principle
- Additional Versions of The Heisenberg Uncertainty Principle
  - Example
- Applications of the Uncertainty Principle in Optics
  - Beam Divergence
  - Beam Divergence and Astronomy
  - Uncertainty Principle and the Cavity Linewidth Equation
  - Tuning Laser Microcavities
  - Sub Microcavities
- Problems
- References
Chapter 4: Dirac Quantum Optics
- Dirac Notation in Optics
- Dirac Quantum Principles
- Interference and the Interferometric Equation
  - Examples: Double-, Triple-, Quadruple-, and Quintuple-Slit Interference
  - Geometry of the N-Slit Interferometer
  - Diffraction Grating Equation
  - N-Slit Interferometer Experiment
- Coherent and Senicoherent Interferograms
- Interferometric Equation in Two and Three Dimensions
- Classical and Quantum Alternatives
- Problems
- References
Chapter 5: Interference, Diffraction, Refraction, and Reflection Via the Dirac Notation
- Introduction
- Interference and Diffraction
  - Generalized Diffraction
  - Positive Diffraction
- Positive and Negative Refraction
  - Focusing
- Reflection
- Succinct Description of Optics
- Problems
- References
Chapter 6: Generalized Multiple-Prism Dispersion
- Introduction
- Generalized Multiple-Prism Dispersion
  - Example: Generalized Single-Prism Dispersion
- Double-Pass Generalized Multiple-Prism Dispersion
  - Design of Zero-Dispersion Multiple-Prism Beam Expanders
- Multiple-Return-Pass Generalized Multiple-Prism Dispersion
  - Multiple-Prism Beam Compressors
- Multiple-Prism Dispersion and Laser Pulse Compresion
  - Example: Single-Prism Pulse Compressor
  - Example: Double-Prism Pulse Compressor
  - Example: Four-Prism Pulse Compressor
- Problems
- References
Chapter 7: Dirac’s Notation Identities
- Useful Identities
  - Example
- Linear Operations
  - Example
- Problems
- References
Chapter 8: Laser Excitation
- Introduction
- Brief Laser Overview
  - Laser Optics
- Laser Excitation
  - Electrically Excited Gas Lasers
  - Optically Pumped Gas and Liquid Lasers
  - Optically Pumped Solid-State Lasers
  - Electrically Excited Semiconductor Lasers
- Excitation and Emission Dynamics
  - Rate Equations for a Two-Level System
  - Dynamics of a Multiple-Level System
  - Long-Pulse Approximation
  - Example
- Quantum Transition Probabilities and Emission Cross Sections
  - Long-Pulse Approximation
- Problems
- References
Chapter 9: Laser Oscillators Described Via the Dirac Notation
- Introduction
- Transverse and Longitudinal Modes
  - Transverse-Mode Structure
  - Double- and Single-Longitudinal-Mode Emission
- Laser Cavity Equation: An Intuitive Approach
- Laser Cavity Equation via the Interferometric Equation
- Problems
- References
Chapter 10: Interferometry Via the Dirac Notation
- Interference a la Dirac
- Hambury Brown-Twist Interferometer
- Two-Beam Interferometers
  - Sagnac Interferometer
  - Mach–Zehnder Interferometer
  - Michelson Interferometer
- Multiple-Beam Interferometers
- N-Slit Interferometer as a Wavelength Meter
- Ramsey Interferometer
- Problems
- References
Chapter 11: Secure Interferometric Communications in Free Space
- Introduction
- Theory
- N-Slit Interferometer for Secure Free-Space Optical Communications
- Interferometric Characters
- Propagation in Terrestrial Free Space
  - Clear Air Turbulence
- Discussion
- Problems
- References
Chapter 12: Schrödinger’s Equation
- Introduction
- Schrödinger’s Mind
- Heuristic Explicit Approach to Schrödinger’s Equation
- Schrödinger’s Equation via the Dirac Notation
- Time-Independent Schrödinger’s Equation
  - Quantized Energy Levels
  - Semiconductor Emission
  - Quantum Wells
  - Quantum Cascade Lasers
  - Quantum Dots
- Introduction to the Hydrogen Equation
- Problems
- References
Chapter 13: Introduction to Feynman Path Integrals
- Introduction
- Classical Action
- Quantum Link
- Propagatin Through a Slit and the Uncertainty Principle
  - Discussion
- Feynman Diagrams in Optics
Chapter 14: Matrix Aspects of Quantum Mechanics
- Introduction
- Introduction to Vector and Matrix Algebra
  - Vector Algebra
  - Matrix Algebra
- Quantum Operators
  - Position Operator
  - Momentum Operator
  - Example
  - Energy Operator
  - Heisenberg Equation of Motion
- Pauli Matrices
  - Pauli Matrices for Spin One-Half Particles
- Intruduction to the Density Matrix
  - Examples
  - Transitions via the Density Matrix
- Problems
- References
Chapter 15: Classical Polarization
- Introduction
- Maxwell Equations
- Polarization and Reflection
  - Plane of Incidence
- Jones Calculus
  - Example
- Polarizing Prisms
  - Transmission Efficiency in Multiple-Prism Arrays
  - Induced Polarization in a Double-Prism Beam Expander
  - Double-Refraction Polarizers
  - Attenuation of the Intensity of Laser Beams Using Polarization
- Polarization Rotators
  - Birefringent Polarization Rotators
  - Broadband Prismatic Polarization Rotators
- Problems
- References
Chapter 16: Quantum Polarization
- Introduction
- Linear Polatization
  - Example
  Polarization as a Two-State System
  - Diagonal Polarization
  - Circular Polarization
  Density Matrix Notation
  - Stokes Parameters and Pauli Matrices
  - Density Matrix and Circular Polarization
  - Example
- Problems
- References
Chapter 17: Entangled Polarizations: Probability Amplitudes and Experimental Configurations
- Introduction
- Hamiltonian Approach
  - Example
- Interferometric Approach
- Pryce–Ward–Snyder Probability Amplitude of Entanglement
- Pryce–Ward–Snyder Probability
- Pryce–Ward Experimental Arrangement
- Wu–Shaknov Experiment
  - Relevance of the Pryce–Ward Theory and the Wu–Shaknov Experiment to EPR
- Conclusion
- Problems
- References
Chapter 18: Quantum Computing
- Introduction
- Interferometric Computer
- Classical Logic Gates
- Qubits
- Quantum Logic
  - Pauli Matrices and Quantum Logic
  - Quantum Gates
- Problems
- References
Chapter 19: Quantum Cryptography and Teleportation
- Introduction
- Quantum Cryptography
  - Bennett and Brassard Approach
  - Polarization Entanglement Approach
- Quantum Teleportation
- Problems
- References
Chapter 20: Quantum Measurements
- Introduction
- Interferometric Irreversible Measurements
  - Additional Irreversible Quantum Measurements
- Quantum Nondemolition Measurements
- Soft Polarization Measurements
- Soft Interception of Interferometric Characters
  - Comparison between Theoretical and Measured N-Slit Interferograms
  - Soft Interferometric Probing
  - Mechanics of Soft Interferometric Probing
  - Discussion
- Problems
- References
Chapter 21: Interpretational Issues in Quantum Mechanics
- Introduction
- EPR
- Bohm Polarization Projection of the EPR Argument
- Bell's Inequalities
  - Example
  - Discussion
- Some Prominent Quantum Physicists on Issues of Interpretation
- Heisenberg’s Uncertainty Principle and EPR
- van Kampen’s Quantum Theorems
- On Probabilities and Probability Amplitudes
- Comment on the Interpretational Issue
- Problems
- References

Appendix A: Survey of Laser Emission Characteristics
Appendix B: Brief Survey of Laser Resonators and Laser Cavities
Appendix C: Ray Transfer Matrices
Appendix D: Multiple-Prism Dispersion Series
Appendix E: Complex Numbers
Appendix F: Trigonometric Identities
Appendix G: Calculus Basics
Appendix H: Poincare’s Space
Appendix I: N-Slit Interferometric Calculations
Appendix J: N-Slit Interferometric Calculations: Numerical Approach
Appendix K: Physical Constants and Optical Quantities

Partial Author Index

Aguirre Gomez J. G., Aldag H. R., Allaria E., Anisimova E., Aspect A., Badurek G., Baer T., Baltakov F. N., Barbieri C., Barnes N. P., Bass I. L., Baving H. J., Beck R., Bell J. S., Bennett C. H., Bennett J. M., Bennett H. E., Benson S. V., Berger J. D., Berglund A. J., Bernhardt A. F., Bessette F., Black A. M., Blauensteiner B., Bleuler E., Bohm D., Bohr N., Born M., Bradt H. L., Brassard G., Braverman B., Bobrovskii A. N., Brito Cruz C. H., Brouwer W., Brune M., Butcher P. N., Byer R. L., Capasso F., Caro R. G., Chen H., Chen L., Cho A. Y., Chutjian A., Cirac J. I., Clauser J. F., Conrad R. W., Corzine S. W., Corson D., Costela A., Cotter D., Crépeau C., Csatári M., Cuadra J. A., Dalitz R. H., de Broglie L., DeLabachelerie M., Delfyett P. J., De Martini F., Demmler S., Demtröder W., Deutsch D., Diels J-C., Dienes A., Dietel W., Dinklage A., Dirac P. A. M., Duarte F. J., Dyson F. J., Ehrlich J. J., Einstein A., Ekert A. K., Erhart J., Everett P. N., Faist J., Falkenstein W., Fan Y. X., Favre F., Ferincz I. E., Feynman R. P., Flamant P. , Flanders H., Fleeming M. W., Fontaine J. J., Fork R. L., Fort J., Friberg A., Fujimoto J. G., Fürst M., Ganiel U., Garcia-Moreno I., Gavrilovic P., Gill P., Glashow S. L., Gobby C., Gordon J. P., Grangier P., Grebing C., Haag G., Hackel R. H., Hagemann C., Haken H., Hammond P., Hanbury Brown R., Hanna R. C., Hänsch T. W., Hardy A., Hargrove R. S., Haroche S., Harrison J., Harvey K. C., Hasegawa Y., Haub J. G., He Y., Heiner Z., Heisenberg W., Herbst R. L., Herbst T., Hertz H., Herzberg G., Hibbs A. R., Hillman L. W., Hogan F., Hollberg L., Holt R. A., Honna K., Hooker S., Hornbostel J., Horne M. A., Hugi A., Hullman J. D., Hutchinson, A. L., Itano W. M., James T. C., James R. O., Jenkins F. A., Jennewein T., Jensen C., Jones R. C., Johnson M. J., Johnston T. F., Jeong Y., Jordan P., Jordan T. F., Jozsa R., Judd B. R., Kafka J. D., Kaiser D., Kan T. K., Kasday L. R., Kaslin V. M., Kessler T., Kildal H., Kim Y-H., King B. E., Kintzer E. S., Klebniczki J., Kleinpoppen H., Kner P., Kocsis S., Koer J., Kogelnik H., Korfhage R. R., Kovács A. P., Kropatschek S., Kubota H., Kulik S. P., Kurdi G., Kwiat P. G., Lamb W. E., Landau L. D., Laudenslager J. B., Legero T., Leighton R. B., Levenson M. D., Liao L. S., Lifshitz E. M., Lindenthal M., Lokajczyk T., Loree T. R., Lorrain P., Ma X., Mandel L., Maiman T. H., Makarov V., Marowski G., Martin M. J., Martinez O. M., Maulini R., McDermid I. S., McKee T. J., Meaburn J., Mech A., Meekhof D. M., Mermin N. D., Meyenburg M., Michelson A. A., Miller A. M., Mirin R. P., Monroe C., Mooradian A., Morita T., Moulin C., Moulton P. F., Moyal J. E., Munz M., Nagaola S., Naik D. S., Nair L. G., Naylor, W., Neumann G., Newton I., Olivares I. E., Ömer B., Orr B. J., Osvay K., Ozawa M., Pacala T. J., Paine D. J., Pang L. Y., Patterson S. P., Pasternack S., Pelliccia D., Penzkofer A., Perdigues J., Peres A., Peterson C. G., Peterson O. G., Petrash G. G., Piper J. A. , Planck M., Podolsky B., Poicaré H., Popov S., Price J. J., Pryce M. H. L., Raimond J-M., Ramsey N. F., Rarity J., Rasmussen P., Ravets S., Riehle F., Robertson H. P., Robertson J. K., Robson B. A., Roger G., Rosen N., Rudolph W., Russell S. D., Salam A., Saleh B. E. A., Salvail L., Salvatore R. A., Sands M., Sargent M., Sastre R., Schäfer F. P., Scheidl T., Schettini V., Schiff L. I., Schimitschek E. J., Schmidt W., Schmitt-Manderbach T., Schröder T., Schrödinger E., Schumacher B., Schwinger J., Sciarrino F., Scully M. O., Selleri F., Shaknov I., Shalm L. K., Shan X., Shand M. L., Shank C. V., Shay T. M., Shields A. J., Shimony A., Sias C., Siegman A. E., Silfvast W. T., Singer P., Sirtori C., Sivco D. L., Smilanski I., Smolin J., Snyder, H. S., Sodnik Z., Sponar S., Srinivasan B., Steel W. H., Sterr U., Stevens M. J., Strome F. C., Sugii M., Suluok G., Sze R. C., Tang K. Y., Taylor T. S., Tavella F., Teich M. C., Tenenbaum J., Teschke O., Tiefenbacher F., Tomonaga S., Treves D., Trojek P., Tuccio S. A., Twiss R. Q., Uenishi Y., Ursin R., Vaeth K. M., van Kampen N. G, Varmette P. G., Volze J., von Neumann J. , Voumard C.,Wallace R. P., Wallenstein R., Walling, J. C., Wang D., Ward J. C., Webb C. E., Weier H., Weinberg S., Weinfurter H., Wellegehausen B., Wheeler J. A., Whinnery J. R., White A. G., White H. E., White R. T., Wilhelmi B., Willett C. S., Wineland D. J., Wittmann B., Wolf E., Wollnik H., Wootters W. K., Woodward B. W., Wu C. S., Wyatt R., Yakushev O. F., Yang T. T., Yanhua Shih Y, Yankelevich D. R., Yariv A., Ye J., Yeh C-H., Yuan Z. L., Zeilinger A., Zhang D., Zoller P., Zorabedian P.

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Page published on the 12th of April, 2013. Updated on the 14th of February, 2015