1st Edition

Quantum Optics for Engineers

By F.J. Duarte Copyright 2014
    444 Pages 189 B/W Illustrations
    by CRC Press

    444 Pages 189 B/W Illustrations
    by CRC Press

    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 Heisenberg's uncertainty principle and Schrodinger's equation.

    Self-contained and using mainly first-year calculus and algebra tools, the book:

    • Illustrates the interferometric 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.

    Brief Historical Perspective
    Principles of Quantum Mechanics
    The Feynman Lectures on Physics
    Quantum Optics
    Quantum Optics for Engineers

    Planck’s Quantum Energy Equation
    Planck’s Equation and Wave Optics

    Uncertainty Principle
    Heisenberg Uncertainty Principle
    Wave–Particle Duality
    Feynman Approximation
    Interferometric Approximation
    Minimum Uncertainty Principle
    Generalized Uncertainty Principle
    Additional Versions of the Heisenberg Uncertainty Principle
    Applications of the Uncertainty Principle in Optics

    Dirac Quantum Optics
    Dirac Notation in Optics
    Dirac Quantum Principles
    Interference and the Interferometric Equation
    Coherent and Semicoherent Interferograms
    Interferometric Equation in Two and Three Dimensions
    Classical and Quantum Alternatives

    Interference, Diffraction, Refraction, and Reflection via the Dirac Notation
    Interference and Diffraction
    Positive and Negative Refraction
    Succinct Description of Optics

    Generalized Multiple-Prism Dispersion
    Generalized Multiple-Prism Dispersion
    Double-Pass Generalized Multiple-Prism Dispersion
    Multiple-Return-Pass Generalized Multiple-Prism Dispersion
    Multiple-Prism Dispersion and Laser Pulse Compression

    Dirac Notation Identities
    Useful Identities
    Linear Operations

    Laser Excitation
    Brief Laser Overview
    Laser Excitation
    Excitation and Emission Dynamics
    Quantum Transition Probabilities and Cross Sections

    Laser Oscillators Described via the Dirac Notation
    Transverse and Longitudinal Modes
    Laser Cavity Equation: An Intuitive Approach
    Laser Cavity Equation via the Interferometric Equation

    Interferometry via the Dirac Notation
    Interference à la Dirac
    Hanbury Brown–Twiss Interferometer
    Two-Beam Interferometers
    Multiple-Beam Interferometers
    N-Slit Interferometer as a Wavelength Meter
    Ramsey Interferometer

    Secure Interferometric Communications in Free Space
    N-Slit Interferometer for Secure Free-Space Optical Communications
    Interferometric Characters
    Propagation in Terrestrial Free Space

    Schrödinger’s Equation
    Schrödinger’s Mind
    Heuristic Explicit Approach to Schrödinger’s Equation
    Schrödinger’s Equation via the Dirac Notation
    Time-Independent Schrödinger’s Equation
    Introduction to the Hydrogen Equation

    Introduction to Feynman Path Integrals
    Classical Action
    Quantum Link
    Propagation through a Slit and the Uncertainty Principle
    Feynman Diagrams in Optics

    Matrix Aspects of Quantum Mechanics
    Introduction to Vector and Matrix Algebra
    Quantum Operators
    Pauli Matrices
    Introduction to the Density Matrix

    Classical Polarization
    Maxwell Equations
    Polarization and Reflection
    Jones Calculus
    Polarizing Prisms
    Polarization Rotators

    Quantum Polarization
    Linear Polarization
    Polarization as a Two-State System
    Density Matrix Notation

    Entangled Polarizations: Probability Amplitudes and Experimental Configurations
    Hamiltonian Approach
    Interferometric Approach
    Pryce–Ward–Snyder Probability Amplitude of Entanglement
    Pryce–Ward–Snyder Probability
    Pryce–Ward Experimental Arrangement
    Wu–Shaknov Experiment

    Quantum Computing
    Interferometric Computer
    Classical Logic Gates
    Quantum Logic

    Quantum Cryptography and Teleportation
    Quantum Cryptography
    Quantum Teleportation

    Quantum Measurements
    Interferometric Irreversible Measurements
    Quantum Nondemolition Measurements
    Soft Polarization Measurements
    Soft Intersection of Interferometric Characters

    Interpretational Issues in Quantum Mechanics
    Bohm Polarization Projection of the EPR Argument
    Bell’s Inequalities
    Some Prominent Quantum Physicists on Issues of Interpretation
    Eisenberg’s Uncertainty Principle and EPR
    van Kampen’s Quantum Theorems
    On Probabilities and Probability Amplitudes
    Comment on the Interpretational Issue

    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: Poincaré’s Space
    Appendix I: N-Slit Interferometric Calculations
    Appendix J: N-Slit Interferometric Calculations—Numerical Approach
    Appendix K: Physical Constants and Optical Quantities


    F.J. Duarte

    "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."
    ––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."
    ––Sergei Popov, Royal Institute of Technology, Sweden