Professor Davis' New Book


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Synopsis

This textbook provides a detailed introduction to the basic physics and engineering aspects of lasers, as the design and operational principles of a wide range of optical systems and electro-optic devices. Throughout, full details of important derivations and reults are given, as are many practical examples of the design, construction and performance characteristics of different types of lasers and electro-optic devices.

The first half of the book deals with the fundamentals of laser physics, the characteristics of laser radiation, and discusses individual types of laser, including optically pumped insulating crystal lasers, atomic gas lasers, molecular gas lasers and semiconductor lasers.

The second half deals with topics such as optical fibers, electro-optic and acousto-optic devices, the fundamentals of nonlinear optics, parametric processes, phase conjugation and optical bistability.

The book concludes with chapters on optical detection, coherence theory, and the application of lasers.

Covering a broad range of topics in modern optical physics and engineering, this book will be invaluable to those taking undergraduate courses in laser physics, optoelectronics, photonics and optical engineering. It will also act as a useful reference for graduate students and researchers in these fields

Prof. Davis uses this book for his class,

ENEE 497 Optical Systems Design.


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Last updated September 20, 1996


Table of contents


Preface

1 Spontaneous and Stimulated Transitions 1

2 Optical Frequency Amplifiers 28

3 Introduction to Two Practical Laser Systems 72

  • 3.1 Introduction 73
  • 3.2 The Ruby Laser 73
  • 3.3 The Helium--Neon Laser 78
  • References 85

    4 Passive Optical Resonators 88

  • 4.1 Introduction 89
  • 4.2 Preliminary Consideration of Optical Resonators 89
  • 4.3 Calculation of the Energy Stored in an Optical Resonator 92
  • 4.4 Qualify Factor of a Resonator in Terms of the Transmission of its End Reflectors 94
  • 4.5 Fabry--Perot Etalons and Interferometers 95
  • 4.6 Internal Field Strength 102
  • 4.7 Fabry--Perot Interferometers as Optical Spectrum Analyzers 104
  • 4.8 Problems 111
  • References 113

    5 Optical Resonators Containing Amplifying Media 117

  • 5.1 Introduction 118
  • 5.2 Fabry--Perot Resonator Containing an Amplifying Medium 118
  • 5.3 The Oscillation Frequency 123
  • 5.4 Multimode Laser Oscillation 124
  • 5.5 Mode-Beating 131
  • 5.6 The Power Output of a Laser 133
  • 5.7 Optimum Coupling 135
  • 5.8 Problems 137
  • References 139

    6 Laser Radiation 142

  • 6.1 Introduction 143
  • 6.2 Diffraction 143
  • 6.3 Two Parallel Narrow Slits 145
  • 6.4 Single Slit 146
  • 6.5 Two-Dimensional Apertures 147
  • 6.5.1 Circular Aperture 147
  • 6.6 Laser Modes 149
  • 6.7 Beam Divergence 153
  • 6.8 Linewidth of Laser Radiation 154
  • 6.9 Coherence Properties 155
  • 6.10 Interference 157
  • 6.11 Problems 161
  • References 162

    7 Control of Laser Oscillators 164

  • 7.1 Introduction 165
  • 7.2 Multimode Operation 165
  • 7.3 Single Longitudinal Mode Operation 167
  • 7.4 Mode-Locking 171
  • 7.5 Methods of Mode-Locking 175
  • 7.5.1 Active Mode-Locking 175
  • 7.6 Pulse Compression 179
  • References 182

    8 Optically Pumped Solid-State Lasers 186

  • 8.1 Introduction 187
  • 8.2 Optical Pumping in Three- and Four-Level Lasers 187
  • 8.2.1 Effective Lifetime of the Levels Involved 188
  • 8.2.2 Threshold Inversion in Three- and Four-Level Lasers 189
  • 8.2.3 Quantum Efficiency 190
  • 8.2.4 Pumping Power 190
  • 8.2.5 Threshold Lamp Power 190
  • 8.3 Pulsed Versus CW Operation 191
  • 8.3.1 Threshold for Pulsed Operation of a Ruby Laser 192
  • 8.3.2 Threshold for CW Operation of a Ruby Laser 192
  • 8.4 Threshold Population Inversion and Stimulated Emission Cross-Section 193
  • 8.5 Paramagnetic Ion Solid-State Lasers 194
  • 8.6 The Nd:YAG Laser 195
  • 8.6.1 Effective Spontaneous Emission Coefficient 195
  • 8.6.2 Example -- Threshold Pump Energy of a Pulsed Nd:YAG Laser 197
  • 8.7 CW Operation of the Nd:YAG Laser 197
  • 8.8 The Nd$^3+$ Glass Laser 198
  • 8.9 Geometrical Arrangements for Optical Pumping 201
  • 8.9.1 Axisymmetric Optical Pumping of a Cylindrical Rod 202
  • 8.10 High Power Pulsed Solid-State Lasers 207
  • 8.11 Diode-Pumped Solid-State Lasers 209
  • 8.12 Relaxation Oscillations (Spiking) 210
  • 8.13 Rate Equations for Relaxation Oscillation 213
  • 8.14 Undamped Relaxation Oscillations 216
  • 8.15 Giant Pulse ($Q$-Switched) Lasers 218
  • 8.16 Theoretical Description of the $Q$-Switching Process 221
  • 8.16.1 Example Calculation of $Q$-Switched Pulse Characteristics 225
  • 8.17 Problem 226
  • References 227

    9 Gas Lasers 233

  • 9.1 Introduction 234
  • 9.2 Optical Pumping 234
  • 9.3 Electron Impact Excitation 236
  • 9.4 The Argon Ion Laser 237
  • 9.5 Pumping Saturation in Gas Laser Systems 239
  • 9.6 Pulsed Ion Lasers 240
  • 9.7 CW Ion Lasers 241
  • 9.8 \lq Metal' Vapor Ion Lasers 246
  • 9.9 Gas Discharges for Exciting Gas Lasers 248
  • 9.10 Rate Equations for Gas Discharge Lasers 251
  • 9.11 Problems 255
  • References 256

    10 Molecular Gas Lasers I 261

  • 10.1 Introduction 262
  • 10.2 The Energy Levels of Molecules 262
  • 10.3 Vibrations of a Polyatomic Molecule 266
  • 10.4 Rotational Energy States 268
  • 10.5 Rotational Populations 269
  • 10.6 The Overall Energy State of a Molecule 271
  • 10.7 The Carbon Dioxide Laser 272
  • 10.8 The Carbon Monoxide Laser 275
  • 10.9 Other Gas Discharge Molecular Lasers 279
  • References 280

    11 Molecular Gas Lasers II 284

  • 11.1 Introduction 285
  • 11.2 Gas Transport Lasers 285
  • 11.3 Gas Dynamic Lasers 289
  • 11.4 High Pressure Pulsed Gas Lasers 293
  • 11.5 Ultraviolet Molecular Gas Lasers 297
  • 11.6 Photodissociation Lasers 300
  • 11.7 Chemical Lasers 301
  • 11.8 Far-Infrared Lasers 304
  • 11.9 Problem 307
  • References 308

    12 Tunable Lasers 313

  • 12.1 Introduction 314
  • 12.2 Organic Dye Lasers 315
  • 12.2.1 Energy Level Structure 315
  • 12.2.2 Pulsed Laser Excitation 317
  • 12.2.3 CW Dye Laser Operation 320
  • 12.3 Calculation of Threshold Pump Power in Dye Lasers 322
  • 12.3.1 Pulsed Operation 323
  • 12.3.2 CW Operation 323
  • 12.4 Inorganic Liquid Laser 325
  • 12.5 Free Electron Lasers 326
  • 12.6 Problems 333
  • References 334

    13 Semiconductor Lasers 338

  • 13.1 Introduction 339
  • 13.2 Semiconductor Physics Background 340
  • 13.3 Carrier Concentrations 344
  • 13.4 Intrinsic and Extrinsic Semiconductors 347
  • 13.5 The $p$-$n$ Junction 349
  • 13.6 Recombination and Luminescence 353
  • 13.6.1 The Spectrum of Recombination Radiation 354
  • 13.6.2 External Quantum Efficiency 356
  • 13.7 Heterojunctions 358
  • 13.7.1 Ternary and Quaternary Lattice-Matched Materials 359
  • 13.7.2 Energy Barriers and Rectification 360
  • 13.7.3 The Double Heterostructure 361
  • 13.8 Semicondcutor Lasers 364
  • 13.9 The Gain Coefficient of a Semiconductor Laser 365
  • 13.9.1 Estimation of Semiconductor Laser Gain 367
  • 13.10 Threshold Current and Power Voltage Characteristics 369
  • 13.11 Longitudinal and Transverse Modes 370
  • 13.12 Semiconductor Laser Structures 372
  • 13.12.1 Distributed Feedback (DFB) and Distributed Bragg Reflection (DBR) Lasers 373
  • 13.13 Surface Emitting Lasers 375
  • 13.14 Laser Diode Arrays and Broad Area Lasers 376
  • 13.15 Quantum Well Lasers 378
  • 13.16 Problems 382
  • References 383

    14 Analysis of Optical Systems I 389

  • 14.1 Introduction 390
  • 14.2 The Propagation of Rays and Waves through Isotropic Media 390
  • 14.3 Simple Reflection and Refraction Analysis 392
  • 14.4 Paraxial Ray Analysis 395
  • 14.4.1 Matrix Formulation 395
  • 14.4.2 Ray Tracing 405
  • 14.4.3 Imaging and Magnification 407
  • 14.5 The Use of Impedances in Optics 408
  • 14.5.1 Reflectance for Waves Incident on an Interface at Oblique Angles 411
  • 14.5.2 Brewster's Angle 412
  • 14.5.3 Transformation of Impedance through Multilayer Optical Systems 413
  • 14.5.4 Polarization Changes 414
  • 14.6 Problems 417
  • References 419

    15 Analysis of Optical Systems II 422

  • 15.1 Introduction 423
  • 15.2 Periodic Optical Systems 423
  • 15.3 The Identical Thin Lens Waveguide 425
  • 15.4 The Propagation of Rays in Mirror Resonators 426
  • 15.5 The Propagation of Rays in Isotropic Media with Refractive Index Gradients 429
  • 15.6 The Propagation of Spherical Waves 432
  • 15.7 Problems 435
  • References 436

    16 Optics of Gaussian Beams 438

  • 16.1 Introduction 439
  • 16.2 Beam-Like Solutions of the Wave Equation 439
  • 16.3 Higher Order Modes 446
  • 16.3.1 Beam Modes with Cartesian Symmetry
  • 16.3.2 Cylindrically Symmetric Higher Order Beams
  • 16.4 The Transformation of a Gaussian Beam by a Lens 450
  • 16.5 Transformation of Gaussian Beams by General Optical Systems 455
  • 16.6 Gaussian Beams in Lens Waveguides 456
  • 16.7 The Propagation of a Gaussian Beam in a Medium with a Quadratic Refractive Index Profile 456
  • 16.8 The Propagation of Gaussian Beams in Media with Spatial Gain or Absorption Variations 457
  • 16.9 Propagation in a Medium with a Parabolic Gain Profile 459
  • 16.10 Gaussian Beams in Plane and Spherical Mirror Resonators 460
  • 16.11 Symmetrical Resonators 462
  • 16.12 An Example of Resonator Design 464
  • 16.13 Diffraction Losses 467
  • 16.14 Unstable Resonators 468
  • 16.15 Problems 471
  • References 473

    17 Optical Fibers and Waveguides 476

  • 17.1 Introduction 477
  • 17.2 Ray Theory of Cylindrical Optical Fibers 478
  • 17.2.1 Meridional Rays in a Step-Index Fiber 478
  • 17.2.2 Step-Index Fibers 480
  • 17.2.3 Graded-Index Fibers 482
  • 17.2.4 Bound, Refracting, and Tunnelling Rays 483
  • 17.3 Ray Theory of a Dielectric Slab Guide 485
  • 17.4 The Goos--H\"anchen Shift 487
  • 17.5 Wave Theory of the Dielectric Slab Guide 490
  • 17.6 \it P-Waves in the Slab Guide 491
  • 17.7 Dispersion Curves and Field Distributions in a Slab Waveguide 494
  • 17.8 \it S-Waves in the Slab Guide 496
  • 17.9 Practical Slab Guide Geometries 497
  • 17.10 Cylindrical Dielectric Waveguides 498
  • 17.10.1 Core 502
  • 17.10.2 Cladding 503
  • 17.10.3 Boundary Conditions 503
  • 17.11 Modes and Field Patterns 504
  • 17.12 The Weakly-Guiding Approximation 506
  • 17.13 Mode Patterns 507
  • 17.14 Cutoff Frequencies 508
  • 17.14.1 Example 510
  • 17.15 Multimode Fibers 511
  • 17.16 Fabrication of Optical Fibers 511
  • 17.17 Dispersion in Optical Fibers 512
  • 17.17.1 Material Dispersion 513
  • 17.17.2 Waveguide Dispersion 514
  • 17.18 Solitons 515
  • 17.19 Erbium-Doped Fiber Amplifiers 516
  • 17.20 Coupling Optical Sources and Detectors to Fibers 518
  • 17.20.1 Fiber Connectors 520
  • 17.21 Problems 522
  • References 525

    18 Optics of Anisotropic Media 531

  • 18.1 Introduction 532
  • 18.2 The Dielectric Tensor 533
  • 18.3 Stored Electromagnetic Energy in Anisotropic Media 535
  • 18.4 Propagation of Monochromatic Plane Waves in Anisotropic Media 536
  • 18.5 The Two Possible Directions of \bf D for a Given Wave Vector are Orthogonal 539
  • 18.6 Angular Relationships between \bf D, \bf E, \bf H, \bf k and the Poynting vector \bf S 540
  • 18.7 The Indicatrix 542
  • 18.8 Uniaxial Crystals 544
  • 18.9 Index Surfaces 546
  • 18.10 Other Surfaces Related to the Uniaxial Indicatrix 548
  • 18.11 Huygenian Constructions 549
  • 18.12 Retardation 553
  • 18.13 Biaxial Crystals 557
  • 18.14 Intensity Transmission Through Polarizer/Waveplate/ Polarizer Combinations 560
  • 18.14.1 Examples 561
  • 18.15 The Jones Calculus 562
  • 18.15.1 The Jones Vector 562
  • 18.15.2 The Jones Matrix 564
  • 18.16 Problems 568
  • References 569

    19 The Electro-Optic and Acousto-Optic Effects and Modulation of Light Beams 573

  • 19.1 Introduction to the Electric-Optic Effect 574
  • 19.2 The Linear Electro-Optic Effect 575
  • 19.3 The Quadratic Electro-Optic Effect 580
  • 19.4 Longitudinal Electro-Optic Modulation 580
  • 19.5 Transverse Electro-Optic Modulation 583
  • 19.6 Electro-Optic Amplitude Modulation 588
  • 19.7 Electro-Optic Phase Modulation 590
  • 19.8 High Frequency Waveguide Electro-Optic Modulators 592
  • 19.8.1 Straight Electrode Modulator
  • 19.9 Other High Frequency Electro-Optic Devices 596
  • 19.10 Electro-Optic Beam Deflectors 597
  • 19.11 Acousto-Optic Modulators 598
  • 19.12 Applications of Acousto-Optic Modulators 604
  • 19.12.1 Diffraction Efficiency of TeO$_2$ 604
  • 19.12.2 Acousto-Optic Modulators 605
  • 19.12.3 Acousto-Optic Beam Deflectors and Scanners 605
  • 19.12.4 RF Spectrum Analysis 607
  • 19.13 Construction and Materials for Acousto-Optic Modulators 607
  • 19.14 Problem 610
  • References 611

    20 Introduction to Nonlinear Processes 616

  • 20.1 Introduction 617
  • 20.2 Anharmonic Potentials and Nonlinear Polarization 617
  • 20.3 Nonlinear Susceptibilities and Mixing Coefficients 621
  • 20.4 Second Harmonic Generation 624
  • 20.4.1 Symmetries and Kleinman's Conjecture 626
  • 20.5 The Linear Electric-Optic Effect 627
  • 20.6 Parametric and Other Nonlinear Processes 628
  • 20.7 Macroscopic and Microscopic Susceptibilities 630
  • 20.8 Problem 635
  • References 636

  • 21. Wave Propagation in Nonlinear Media 640

  • 21..1 Introduction 641
  • 21..2 Electromagnetic Waves and Nonlinear Polarization 641
  • 21..3 Second Harmonic Generation 646
  • 21..4 The Effective Nonlinear Coefficient $d_eff$ 648
  • 21..5 Phase Matching 651
  • 21..5.1 Second Harmonic Generation 651
  • 21..5.2 Example 652
  • 21..5.3 Phase Matching in Sum-Frequency Generation 653
  • 21..6 Beam Walk-Off and 90$^\circ$ Phase Matching 653
  • 21..7 Second Harmonic Generation with Gaussian Beams 654
  • 21..7.1 Intracavity SHG 656
  • 21..7.2 External SHG 656
  • 21..7.3 The Effects of Depletion on Second Harmonic Generation 657
  • 21..8 Up-Conversion and Difference Frequency Generation 659
  • 21..9 Optical Parametric Amplification 660
  • 21..9.1 Example 663
  • 21..10 Parametric Oscillators 664
  • 21..10.1 Example 666
  • 21..11 Parametric Oscillator Tuning 667
  • 21..12 Phase Conjugation 669
  • 21..12.1 Phase Conjugation in CS$_2$ 673
  • 21..13 Optical Bistability 673
  • 21..14 Practical Details of the Use of Crystals for Nonlinear Applications 677
  • 21..15 Problems 679
  • References 680

    22 Detection of Optical Radiation 685

  • 22.1 Introduction 686
  • 22.2 Noise 687
  • 22.2.1 Shot Noise 687
  • 22.2.2 Johnson Noise 690
  • 22.2.3 Generation--Recombination Noise and 1/\it f Noise 692
  • 22.3 Detector Performance Parameters 694
  • 22.3.1 Noise Equivalent Power 694
  • 22.3.2 Detectivity 695
  • 22.3.3 Frequency Response and Time Constant 696
  • 22.4 Practical Characteristics of Optical Detectors 696
  • 22.4.1 Photoemissive Detectors 696
  • 22.4.2 Photoconductive Detectors 703
  • 22.4.3 Photovoltaic Detectors (Photodiodes) 707
  • 22.4.4 \it p-i-n Photodiodes 712
  • 22.4.5 Avalanche Photodiodes 713
  • 22.5 Thermal Detectors 714
  • 22.6 Detection Limits for Optical Detector Systems 717
  • 22.6.1 Noise in Photomultipliers 718
  • 22.6.2 Photon Counting 719
  • 22.6.3 Signal-to-Noise Ratio in Direct Detection 720
  • 22.6.4 Direct Detection with \it p-i-n Photodiodes 721
  • 22.6.5 Direct Detection with APDs 723
  • 22.7 Coherent Detection 724
  • 22.8 Bit-Error Rate 730
  • References 733

    23 Coherence Theory 739

  • 23.1 Introduction 740
  • 23.2 Square-Law Detectors 741
  • 23.3 The Analytic Suignal 742
  • 23.3.1 Hilbert Transforms 743
  • 23.4 Correlation Functions 745
  • 23.5 Temporal and Spatial Coherence 748
  • 23.6 Spatial Coherence 751
  • 23.7 Spatial Coherence with an Extended Source 754
  • 23.8 Propagation Laws of Partial Coherence 756
  • 23.9 Propagation from a Finite Plane Surface 759
  • 23.10Van Cittert--Zernike Theorem 763
  • 23.11 Spatial Coherence of a Quasi-Monochromatic, Uniform, Spatially Incoherent Circular Source 765 23.12 Intensity Correlation Interferometry 766
  • 23.13 Intensity Fluctuations 768
  • 23.14 Photon Statistics 771
  • 23.14.1 Constant Intensity Source 771
  • 23.14.2 Random Intensities 773
  • 23.15 Hanbury-Brown--Twiss Interferometer 775
  • 23.16 Hanbury-Brown--Twiss Experiment with Photon Count Correlations 778
  • References 780

    24 Laser Applications 784

  • 24.1 Optical Communication Systems 785
  • 24.1.1 Introduction 785
  • 24.1.2 Absorption in Optical Fibers 788
  • 24.1.3 Optical Communication Networks 789
  • 24.1.4 Optical Fiber Network Architectures 791
  • 24.1.5 Coding Schemes in Optical Networks 792
  • 24.1.6 Line-of-Sight Optical Links 793
  • 24.2 Holography 796
  • 24.2.1 Wavefront Reconstruction 796
  • 24.2.2 The Hologram as a Diffraction Grating 800
  • 24.2.3 Volume Holograms 802
  • 24.3 Laser Isotope Separation 805
  • 24.4 Laser Plasma Generation and Fusion 808
  • 24.5 Medical Applications of Lasers 811
  • 24.5.1 Laser Angioplasty 813
  • References 815

    Appendix



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