Beam propagation method for design of optical waveguide devices / Ginés Lifante Pedrola.

Format:

Book

Author/Creator:

Lifante, Ginés, author.

Language:

English

Subjects (All):

Beam optics.

Light--Transmission.

Light.

Optical wave guides.

Physical Description:

1 online resource (541 p.)

Edition:

1st ed.

Place of Publication:

Chichester, England : Wiley, 2016.

Language Note:

English

Summary:

The basic of the BPM technique in the frequency domain relies on treating the slowly varying envelope of the monochromatic electromagnetic field under paraxial propagation, thus allowing efficient numerical computation in terms of speed and allocated memory. In addition, the BPM based on finite differences is an easy way to implement robust and efficient computer codes. This book presents several approaches for treating the light: wide-angle, scalar approach, semivectorial treatment, and full vectorial treatment of the electromagnetic fields. Also, special topics in BPM cover the simulation of light propagation in anisotropic media, non-linear materials, electro-optic materials, and media with gain/losses, and describe how BPM can deal with strong index discontinuities or waveguide gratings, by introducing the bidirectional-BPM. BPM in the time domain is also described, and the book includes the powerful technique of finite difference time domain method, which fills the gap when the standard BPM is no longer applicable. Once the description of these numerical techniques have been detailed, the last chapter includes examples of passive, active and functional integrated photonic devices, such as waveguide reflectors, demultiplexers, polarization converters, electro-optic modulators, lasers or frequency converters. The book will help readers to understand several BPM approaches, to build their own codes, or to properly use the existing commercial software based on these numerical techniques.

Contents:

Title Page; Table of Contents; Preface; List of Acronyms; List of Symbols; 1 Electromagnetic Theory of Light; Introduction; 1.1 Electromagnetic Waves; 1.2 Monochromatic Waves; 1.3 Wave Equation Formulation in Terms of the Transverse Field Components; References; 2 The Beam-Propagation Method; Introduction; 2.1 Paraxial Propagation: The Slowly Varying Envelope Approximation (SVEA). Full Vectorial BPM Equations; 2.2 Semi-Vectorial and Scalar Beam Propagation Equations; 2.3 BPM Based on the Finite Difference Approach; 2.4 FD-Two-Dimensional Scalar BPM; 2.5 Von Neumann Analysis of FD-BPM

2.6 Boundary Conditions2.7 Obtaining the Eigenmodes Using BPM; References; 3 Vectorial and Three-Dimensional Beam Propagation Techniques; Introduction; 3.1 Two-Dimensional Vectorial Beam Propagation Method; 3.2 Three-Dimensional BPM Based on the Electric Field; 3.3 Three-Dimensional BPM Based on the Magnetic Field; References; 4 Special Topics on BPM; Introduction; 4.1 Wide-Angle Beam Propagation Method; 4.2 Treatment of Discontinuities in BPM; 4.3 Bidirectional BPM; 4.4 Active Waveguides; 4.5 Second-Order Non-Linear Beam Propagation Techniques; 4.6 BPM in Anisotropic Waveguides

4.7 Time Domain BPM4.8 Finite-Difference Time-Domain Method (FD-TD); References; 5 BPM Analysis of Integrated Photonic Devices; Introduction; 5.1 Curved Waveguides; 5.2 Tapers: Y-Junctions; 5.3 Directional Couplers; 5.4 Multimode Interference Devices; 5.5 Waveguide Gratings; 5.6 Arrayed Waveguide Grating Demultiplexer; 5.7 Mach-Zehnder Interferometer as Intensity Modulator; 5.8 TE-TM Converters; 5.9 Waveguide Laser; 5.10 SHG Using QPM in Waveguides; References; Appendix A Finite Difference Approximations of Derivatives; A.1 FD-Approximations of First-Order Derivatives

A.2 FD-Approximation of Second-Order DerivativesAppendix B Tridiagonal System: The Thomas Method Algorithm; Reference; Appendix C Correlation and Relative Power between Optical Fields; C.1 Correlation between Two Optical Fields; C.2 Power Contribution of a Waveguide Mode; References; Appendix D Poynting Vector Associated to an Electromagnetic Wave Using the SVE Fields; D.1 Poynting Vector in 2D-Structures; D.2 Poynting Vector in 3D-Structures; Reference; Appendix E Finite Difference FV-BPM Based on the Electric Field Using the Scheme Parameter Control; E.1 First Component of the First Step

E.2 Second Component of the First StepE.3 Second Component of the Second Step; E.4 First Component of the Second Step; Appendix F Linear Electro-Optic Effect; Reference; Appendix G Electro-Optic Effect in GaAs Crystal; References; Appendix H Electro-Optic Effect in LiNbO3 Crystal; References; Appendix I Padé Polynomials for Wide-Band TD-BPM; Appendix J Obtaining the Dispersion Relation for a Monomode Waveguide Using FDTD; Reference; Appendix K Electric Field Distribution in Coplanar Electrodes; K.1 Symmetric Coplanar Strip Configuration

K.2 Symmetric Complementary Coplanar Strip Configuration

Notes:

Description based upon print version of record.

Includes bibliographical references at the end of each chapters and index.

Description based on print version record.

ISBN:

9781119083399

1119083397

9781119083405

1119083400

9781119083382

1119083389

OCLC:

910993865