Electromagnetic Wave Propagation in Turbulence de Richard J. Sasiela

Electromagnetic Wave Propagation in Turbulence: Evaluation and Application of Mellin Transforms: SPIE Press Monograph

Richard J. Sasiela

At first glance, Mellin transforms can look formidable and complicated. This book invites readers to overcome these fears and see just how useful they can be. It is suitable for two audiences: those interested in problems surrounding electromagnetic wave propagation in turbulence, and those interested in evaluating integrals.

Citește tot Restrânge

Din seria SPIE Press Monograph

15%

Preț: 525^.47 lei
41%

Preț: 612^.05 lei
21%

Preț: 447^.67 lei
24%

Preț: 531^.22 lei
20%

Preț: 839^.12 lei
23%

Preț: 608^.56 lei
23%

Preț: 615^.11 lei

Cuprins

1 Introduction.- 1.1 Book Plan.- 1.2 Introduction to Mellin Transforms.- 1.3 Higher Transcendental Functions ..- 2 Basic Equations for Wave Propagation in Turbulence.- 2.1 Turbulence Spectra.- 2.2 Rytov Approximation.- 2.3 Phase and Log-Amplitude Variances.- 2.4 Power Spectral Density.- 2.5 Beam Shape and Strehl Ratio.- 3 Aperture Filter Functions.- 3.1 Circular Aperture Modes.- 3.2 Piston and Tilt on an Annulus.- 3.3 Finite Apertures and Focal Anisoplanatism.- 3.4 Adaptive-Optics Systems.- 4 Zero-Parameter Problems.- 4.1 Turbulence Models and Moments.- 4.2 Zernike Tilt and Piston for Collimated and Focused Beams.- 4.3 Gradient Tilt.- 4.4 Difference Between Gradient and Zernike Tilt.- 4.5 Beam Movement at a Target.- 4.6 Angle-of-Arrival Jitter.- 4.7 Scintillation for Collimated and Focused Beams.- 4.8 Phase Variance with Finite Servo Bandwidth.- 4.9 Variances for Beams Corrected by Adaptive Optics.- 5 Integral Evaluation with Mellin Transforms.- 5.1 Integral Evaluation with One Parameter.- 5.2 Asymptotic Solutions.- 5.2.1 Alternate Method of Integral Evaluation.- 5.3 Multiple Poles.- 6 Other Applications of Mellin Transforms.- 6.1 Convolutional Transforms.- 6.2 Laplace’s Equation in Cylindrical Coordinates.- 6.3 Laplace’s Equation in Spherical Coordinates.- 6.4 Time Varying Problems.- 6.5 Integral Equations.- 6.6 Multiple Integrals and Asymptotic Series from Power Series . ..- 6.7 Miscellaneous Additional Applications.- 7 Examples with a Single Positive Parameter.- 7.1 Tilt for the von Kármán Spectrum.- 7.2 Tilt for the Greenwood Spectrum.- 7.3 Tilt with Finite Inner Scale.- 7.4 Piston- and Tilt-Removed Phase Variance on an Annulus .....- 7.5 Effect of Diffraction on Tilt.- 7.6 Tilt Anisoplanatism.- 7.7 Power Spectral Density of Tilt.- 7.8 Scintillation withFinite Apertures and Sources.- 7.9 Scintillation with Finite Inner Scale.- 7.10 Scintillation Anisoplanatism.- 7.11 Focus Anisoplanatism.- 7.12 Focal Anisoplanatism for Point Sources.- 7.13 Focal Anisoplanatism for Distributed Sources.- 7.14 Focal Anisoplanatism for Offset Sources.- 8 Strehl Ratio.- 8.1 Strehl Ratio for Propagation Through Turbulence.- 8.2 Strehl Ratio with Beam Jitter.- 8.3 Strehl Ratio with Anisoplanatism.- 8.4 Strehl Ratio for Various Anisoplanatic Effects.- 9 Mellin Transforms with a Complex Parameter.- 9.1 Mellin-Barnes Integrals with Complex Parameters.- 9.2 Asymptotic Results with a Complex Parameter.- 9.3 The Mellin Transform of an Exponential Times a Bessel Function.- 10 Examples With a Single Complex Parameter.- 10.1 Phase and Log-Amplitude Variances of Beam Waves.- 10.2 Power Spectral Density of Beam Waves.- 10.3 Scintillation on Beam Waves.- 11 Mellin Transforms in N Complex Planes.- 11.1 Convergence of Multi-Parameter Series.- 11.2 Path Closure at Infinity.- 11.3 Integration in Multiple Complex Planes.- 11.4 Asymptotic Solution in Two or More Complex Planes.- 12 Examples with N Parameters.- 12.1 An Integral with Two Bessel Functions and a Sinusoid.- 12.2 An Integral with Three Bessel Functions.- 12.3 Example in Three and N Complex Planes.- 12.4 Effect of Outer Scale on Tilt Anisoplanatism.- 12.5 Tilt with Inner and Outer Scale.- 12.6 Power Spectrum of Tilt with Outer Scale.- 12.7 Structure and Correlation Functions with Inner and Outer Scales.- 13 Beam Shape.- 13.1 General Formula for Beam Shape.- 13.2 Beam Shape for Uncorrected Turbulence.- 13.3 Beam Shape with Tilt Jitter.- 13.4 Beam Shape with Anisoplanatism.- A Additional Mellin Transforms.- B Trancendental Functions.- References.