Electromagnetic Wave Propagation in Turbulence: Evaluation and Application of Mellin Transforms: Springer Series on Wave Phenomena, cartea 18
Autor Richard J. Sasielaen Limba Engleză Paperback – 9 feb 2012
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Specificații
ISBN-13: 9783642850721
ISBN-10: 3642850723
Pagini: 324
Ilustrații: XVII, 300 p.
Dimensiuni: 155 x 235 x 17 mm
Greutate: 0.45 kg
Ediția:Softcover reprint of the original 1st ed. 1994
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Springer Series on Wave Phenomena
Locul publicării:Berlin, Heidelberg, Germany
ISBN-10: 3642850723
Pagini: 324
Ilustrații: XVII, 300 p.
Dimensiuni: 155 x 235 x 17 mm
Greutate: 0.45 kg
Ediția:Softcover reprint of the original 1st ed. 1994
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Springer Series on Wave Phenomena
Locul publicării:Berlin, Heidelberg, Germany
Public țintă
ResearchCuprins
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.