Computational Optics: Beam Propagation Methods

Miroslav Kolesik, Ph.D.
Associate Professor of Optical Sciences, College of Optical Sciences,, The University of Arizona, AZ, US

Series: Physics Research and Technology
BISAC: SCI055000

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Edited by I Leslie Rubin, Robert J Geller, Abby Mutic, Benjamin A Gitterman, Nathan Mutic, Wayne Garfinkel, Claire D Coles, Kurt Martinuzzi, and Joav Merrick

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Computational Optics: Beam Propagation Methods gives a comprehensive discussion of the theory, numerical methods, and best practices in the field of computer-aided modeling of optical-beam propagation. Derived from a course taught by the author, the textbook is designed to support both independent self-paced study and a traditional semester-long lecture. The book combines two complementary tracks. The theory part provides a detailed, incremental exposition of the physics of optical beam propagation, and a description of the relevant numerical techniques. The practice-track gives an opportunity to put the theory into use by guiding the reader through increasingly sophisticated examples, which cover program design and simulation execution as well as a critical assessment of the results. Written for a readership with modest experience in numerical simulations and programming, this textbook integrates both tracks into a story flowing in easy to digest increments, covering topics from the basics to the state of the art in the field. (Imprint: Nova)

Preface

Chapter 1. Maxwell's Equations: Numerical Simulation Perspective

Chapter 2. Beam Propagation Techniques in Homogeneous Media

Chapter 3. Basics of Finite-Difference Beam Propagation Methods

Chapter 4. Crank-Nicolson Method

Chapter 5. Transparent Boundary Conditions for Computational Domains - Part One

Chapter 6. Beam Propagation in Nonlinear and Weakly Guiding Structures

Chapter 7. Alternating Direction Implicit Method

Chapter 8. Operator Splitting Method

Chapter 9. Method of Lines

Chapter 10. Propagation Equations for Finite-Difference Methods

Chapter 11. Transparent Boundary Conditions for Computational Domains - Part Two

Chapter 12. Effective Index Method

Chapter 13. BPM Techniques to Calculate Waveguide and Resonator Modes

Chapter 14. Wide-Angle Beam Propagation Methods

Chapter 15. BPM Application in Time-Domain Problems

About the Author

Index

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