Phase-Space Optics: Fundamentals and Applications
by: Markus Testorf, Bryan Hennelly, Jorge Ojeda-Castañeda
Abstract: Definitive coverage of the fundamentals and potential applications of phase-space optics. Phase-space optics is a powerful new tool for understanding and applying the physics of light propagation. Written by pioneers in the field, this book begins by covering the basic properties of joint-signal representations. The book goes on to illustrate how joint-signal representations are well-suited for gaining physical insight and developing novel engineering applications.Phase Space Optics offers essential information on state-of-the-art uses of phase-space methods in optical sciences. Contributors are pioneers in their fields of expertise on the use of joint-signal representations. Application examples utilizing phase-space optics are included.
Full details
Table of Contents
- A. About the Authors
- B. Preface
- 1. Wigner Distribution in Optics
- 2. Ambiguity Function in Optical Imaging
- 3. Rotations in Phase Space
- 4. The Radon-Wigner Transform in Analysis, Design, and Processing of Optical Signals
- 5. Imaging Systems: Phase-Space Representations
- 6. Super Resolved Imaging in Wigner-Based Phase Space
- 7. Radiometry, Wave Optics, and Spatial Coherence
- 8. Rays and Waves
- 9. Self-Imaging in Phase Space
- 10. Sampling and Phase Space
- 11. Phase Space in Ultrafast Optics
Tools & Media
Expanded Table of Contents
-
A.
About the Authors
-
B.
Preface
-
1.
Wigner Distribution in Optics
- Introduction
- Elementary Description of Optical Signals and Systems
- Wigner Distribution and Ambiguity Function
- Some Properties of the Wigner Distribution
- One-Dimensional Case and the Fractional Fourier Transformation
- Propagation of the Wigner Distribution
- Wigner Distribution Moments in First-Order Optical Systems
- Coherent Signals and the Cohen Class
- Conclusion
-
2.
Ambiguity Function in Optical Imaging
- Introduction
- Intensity Spectrum of a Fresnel Diffraction Pattern Under Coherent Illumination
- Propagation through a Paraxial Optical System in Terms of AF
- Propagation in Free Space
- The AF in Isoplanatic (Space-Invariant) Imaging
- The AF of the Image of an Incoherent Source
- Phase-Space Tomography
- Another Possible Approach to AF Reconstruction
- Propagation-Based Holographic Phase Retrieval from Several Images
- Conclusion
-
3.
Rotations in Phase Space
- Introduction
- First-Order Optical Systems and Canonical Integral Transforms
- Canonical Transformations Producing Phase-Space Rotations
- Properties of the Phase-Space Rotators
- Eigenfunctions for Phase-Space Rotators
- Optical Setups for Basic Phase-Space Rotators
- Applications of Phase-Space Rotators
- Conclusion
- Acknowledgments
- 4. The Radon-Wigner Transform in Analysis, Design, and Processing of Optical Signals
- 5. Imaging Systems: Phase-Space Representations
- 6. Super Resolved Imaging in Wigner-Based Phase Space
- 7. Radiometry, Wave Optics, and Spatial Coherence
-
8.
Rays and Waves
- Introduction
- Small-Wavelength Limit in the Position Representation. I: Geometrical Optics
- Small-Wavelength Limit in the Position Representation. II: The Transport Equation and the Field Estimate
- Flux Lines versus Rays
- Analogy with Quantum Mechanics
- Small-Wavelength Limit in the Momentum Representation
- Maslov’s Canonical Operator Method
- Gaussian Beams and Their Sums
- Stable Aggregates of Flexible Elements
- A Simple Example
- Concluding Remarks
-
9.
Self-Imaging in Phase Space
- Introduction
- Phase-Space Optics Minimum Tool Kit
- Self-Imaging of Paraxial Wavefronts
- The Talbot Effect
- The “Walk-off” Effect
- The Fractional Talbot Effect
- Matrix Formulation of the Fractional Talbot Effect
- Point Source Illumination
- Another Path to Self-Imaging
- Self-Imaging and Incoherent Illumination
- Summary
- 10. Sampling and Phase Space
- 11. Phase Space in Ultrafast Optics
Book Details
Title: Phase-Space Optics: Fundamentals and Applications
Publisher: : New York, Chicago, San Francisco, Lisbon, London, Madrid, Mexico City, Milan, New Delhi, San Juan, Seoul, Singapore, Sydney, Toronto
Copyright / Pub. Date: 2010 The McGraw-Hill Companies, Inc.
ISBN: 9780071597982
Authors:
Markus Testorf is the author of this McGraw-Hill Professional publication.
Bryan Hennelly is currently a research fellow at the National University of Ireland, Maynooth. He
has written or coauthored numerous articles based on Wigner or phase-space optics
relating to optical metrology systems and the sampling and numerical simulation of
optical systems
Jorge Ojeda-Castañeda is the author of this McGraw-Hill Professional publication.
Description: Definitive coverage of the fundamentals and potential applications of phase-space optics. Phase-space optics is a powerful new tool for understanding and applying the physics of light propagation. Written by pioneers in the field, this book begins by covering the basic properties of joint-signal representations. The book goes on to illustrate how joint-signal representations are well-suited for gaining physical insight and developing novel engineering applications.Phase Space Optics offers essential information on state-of-the-art uses of phase-space methods in optical sciences. Contributors are pioneers in their fields of expertise on the use of joint-signal representations. Application examples utilizing phase-space optics are included.
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