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This book provides an in-depth introduction to modelling of long-range propagation of orbital angular momentum (OAM) modes as well as more general structured light beams through atmospheric turbulence. Starting with angular spectrum method for diffraction and description of structured light states, the book discusses the technical details related to wave propagation through atmospheric turbulence. The review of historical as well as more recent ideas in this topical area, along with computer simulation codes, makes this book a useful reference to researchers and optical engineers interested in developing and testing of free-space applications of OAM states of light.
Key Features:
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Includes modelling of long-range propagation using the angular spectrum approach.
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Presents basic description of turbulence propagation using single or multi-phase screen models.
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Provides information on advanced topics such as propagation polarization of singularities through turbulence and texture properties of speckle with structured light.
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Provides discussion on the spiral phase quadrature transform and its application for robust beam engineering.
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Includes accompanying open-source software code snippets for modelling the propagation of scalar and vector beams through turbulence.
Preface
Acknowledgements
Author biographies
1 Introduction
2 Mathematical preliminaries
3 The angular spectrum method
4 Near core structure of a propagating optical vortex
5 Orbital angular momentum states of light
6 Introduction to polarization singularities
7 Theory of wave propagation in a turbulent medium
8 Numerical simulation of laser beam propagation through turbulence
9 Robust laser beam engineering using complementary diffraction
10 Speckle in structured light with applications
Appendix A: Annotated computer code for beam propagation through turbulence