Orbital Angular Momentum States of Light (Second Edition) : Propagation Through Atmospheric Turbulence.

Format:

Book

Author/Creator:

Khare, Kedar.

Contributor:

Lochab, Priyanka.

Senthilkumaran, Paramasivam.

Series:

IOP Series in Advances in Optics, Photonics and Optoelectronics Series

Language:

English

Subjects (All):

Atmospheric turbulence.

Optical communications.

Physical Description:

1 online resource (225 pages)

Edition:

2nd ed.

Place of Publication:

Bristol : Institute of Physics Publishing, 2024.

Summary:

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.

Contents:

Outline placeholder

Preface to the second edition

Preface to the first edition

Author biographies

Kedar Khare

Priyanka Lochab

Paramasivam Senthilkumaran

Chapter Introduction

Chapter Mathematical preliminaries

2.1 Fourier transform basics

2.2 Review of random processes theory

2.2.1 Principal component analysis (PCA)

2.3 Simulating a random process with known spectral density

2.4 Complex signal representation

2.5 Spiral phase quadrature transform

References

Chapter The angular spectrum method

3.1 Wave equation

3.2 The angular spectrum formalism

3.3 Sampling considerations and usage of fast Fourier transform routines

3.4 Numerical propagation of fields in free space

3.5 Propagation of partially spatially coherent light fields

Chapter Near core structure of a propagating optical vortex

4.1 Vortex propagation using the angular spectrum method

4.2 Phase dip near vortex core

Chapter Orbital angular momentum states of light

5.1 Solutions of paraxial wave equation with phase singularities

5.2 Orbital angular momentum of LG modes

5.3 Topological charge of OAM carrying beams

5.4 Generation of OAM beams

5.4.1 Spiral phase plate

5.4.2 Diffractive optics

5.4.3 Spatial light modulators

5.4.4 Mode converters

5.4.5 Other methods

5.5 Detection of phase singularities

5.5.1 Interference-based methods

5.5.2 Diffraction based methods

5.5.3 OAM detection using lens aberrations

5.5.4 Shack-Hartmann wavefront sensor

5.6 Propagation dynamics of beams embedded with vortices

5.7 OAM modes as a communication basis

Chapter Introduction to polarization singularities

6.1 Polarization state of light beams

6.1.1 Stokes parameters

6.1.2 Azimuth and ellipticity

6.1.3 Poincare sphere.

6.2 Decomposition of a general SOP

6.2.1 Helicity and spin

6.2.2 Homogeneous and inhomogeneous polarization distributions

6.3 Singularities in optical fields

6.3.1 Phase singularities

6.3.2 Polarization singularities

6.3.3 Polarization singularities as vector superposition of OAM states

6.4 Stokes phase distribution and azimuth distribution

6.5 Generation and detection of polarization singularities

6.6 Applications of polarization singular beams

Chapter Theory of wave propagation in a turbulent medium

7.1 Electromagnetic wave equation in a random medium

7.2 Description of the refractive index fluctuations in the atmosphere

7.2.1 Origin of fluctuations in the index of refraction

7.2.2 Spatial statistics of refractive index fluctuations

7.2.3 Temporal evolution of the fluctuations

7.2.4 Different models for power-spectral density of the refractive index fluctuations

7.2.5 Behavior of turbulence strength: Cn2 models

7.3 Classical perturbation methods

7.3.1 Born approximation

7.3.2 Rytov approximation

7.4 Extended Huygens-Fresnel integral approach

Chapter Numerical simulation of laser beam propagation through turbulence

8.1 Need for specialized numerical methods for beam propagation

8.2 Split-step propagation method

8.2.1 Split-step formulation from the parabolic equation

8.2.2 Implementation of the split-step propagation method

8.2.3 Sampling requirements

8.3 Phase screen generation

8.3.1 Phase spectrum from the refractive index spectrum

8.3.2 FFT method for phase screen generation

8.3.3 Sub-harmonic correction to the phase screen

8.3.4 Some drawbacks of the FFT method

8.4 Other methods for generating random phase screens

8.4.1 Randomized spectral sampling method

8.4.2 Sparse spectrum method.

8.5 Illustration of propagation of OAM states through turbulence

8.6 Beam quality parameters

8.6.1 Scintillation index

8.6.2 Signal-to-noise ratio for instantaneous beam profile

Chapter Robust laser beam engineering using complementary diffraction

9.1 Beam engineering using polarization and OAM

9.2 Complementary diffraction due to (0,1) OAM states

9.3 Beam quality assessment using instantaneous signal-to-noise ratio

9.4 Speckle diversity

9.5 Long-range propagation of converging polarization singularities through atmospheric turbulence

9.5.1 Evolution of intensity and polarization structure of the beams

9.5.2 Quantitative assessment of beam quality

9.6 Irradiance probability distribution due to engineered beams

9.7 Higher order engineered beams

Chapter Speckle in structured light with applications

10.1 Speckle phenomena in optics

10.2 Intensity and phase statistics of scalar speckle

10.3 Speckle in polarization structured light

10.4 Texture classification: gray-level co-occurence matrix

10.5 Novel applications of speckle texture

Chapter

A.1 Initialization of parameters

A.1.1 Turbulence parameters (scales and strength)

A.1.2 Sampling grid parameters

A.1.3 Optical beam parameters

A.1.4 Number of phase screens

A.1.5 Generation of phase screen using FFT method

A.1.6 Generation of sub-harmonic phase screen

A.1.7 Free-space propagation between two random phase screens

A.1.8 Simulation of propagation of vector beams through turbulence.

Notes:

Description based on publisher supplied metadata and other sources.

Part of the metadata in this record was created by AI, based on the text of the resource.

Other Format:

Print version: Khare, Kedar Orbital Angular Momentum States of Light (Second Edition)

ISBN:

9780750359610

OCLC:

1500763096