Complex Space Source Theory of Spatially Localized Electromagnetic Waves

by S.R. Seshadri

The Institution of Engineering and Technology, 2014 Cloth: 978-1-61353-193-8 | eISBN: 978-1-61353-194-5 Library of Congress Classification QC661.S46 2014 Dewey Decimal Classification 539.2

ABOUT THIS BOOK | TOC

ABOUT THIS BOOK

This book begins with an essential background discussion of the many applications and drawbacks for paraxial beams, which is required in the treatment of the complex space theory of spatially localized electromagnetic waves. The author highlights that there is a need obtain exact full-wave solutions that reduce to the paraxial beams in the appropriate limit. Complex Space Source Theory of Spatially Localized Electromagnetic Waves treats the exact full-wave generalizations of all the basic types of paraxial beam solutions. These are developed by the use of Fourier and Bessel transform techniques and the complex space source theory of spatially localized electromagnetic waves is integrated as a branch of Fourier optics. Two major steps in the theory are described as: 1) the systematic derivation of the appropriate virtual source in the complex space that produces the required full wave from the paraxial beam solution and 2) the determination of the actual secondary source in the physical space that is equivalent to the virtual source in the complex space.

TABLE OF CONTENTS

Chapter 1: Fundamental Gaussian beam

Chapter 2: Fundamental Gaussian wave

Chapter 3: Origin of point current source in complex space

Chapter 4: Basic full Gaussian wave

Chapter 5: Complex source point theory

Chapter 6: Extended full Gaussian wave

Chapter 7: Cylindrically symmetric transverse magnetic full Gaussian wave

Chapter 8: Two higher-order full Gaussian waves

Chapter 9: Basic full complex-argument Laguerre-Gauss wave

Chapter 10: Basic full real-argument Laguerre-Gauss wave

Chapter 11: Basic full complex-argument Hermite-Gauss wave

Chapter 12: Basic full real-argument Hermite-Gauss wave

Chapter 13: Basic full modified Bessel-Gauss wave

Chapter 14: Partially coherent and partially incoherent full Gaussian wave

Complex Space Source Theory of Spatially Localized Electromagnetic Waves

by S.R. Seshadri

The Institution of Engineering and Technology, 2014 Cloth: 978-1-61353-193-8 eISBN: 978-1-61353-194-5

This book begins with an essential background discussion of the many applications and drawbacks for paraxial beams, which is required in the treatment of the complex space theory of spatially localized electromagnetic waves. The author highlights that there is a need obtain exact full-wave solutions that reduce to the paraxial beams in the appropriate limit. Complex Space Source Theory of Spatially Localized Electromagnetic Waves treats the exact full-wave generalizations of all the basic types of paraxial beam solutions. These are developed by the use of Fourier and Bessel transform techniques and the complex space source theory of spatially localized electromagnetic waves is integrated as a branch of Fourier optics. Two major steps in the theory are described as: 1) the systematic derivation of the appropriate virtual source in the complex space that produces the required full wave from the paraxial beam solution and 2) the determination of the actual secondary source in the physical space that is equivalent to the virtual source in the complex space.

TABLE OF CONTENTS

Chapter 1: Fundamental Gaussian beam

Chapter 2: Fundamental Gaussian wave

Chapter 3: Origin of point current source in complex space

Chapter 4: Basic full Gaussian wave

Chapter 5: Complex source point theory

Chapter 6: Extended full Gaussian wave

Chapter 7: Cylindrically symmetric transverse magnetic full Gaussian wave

Chapter 8: Two higher-order full Gaussian waves

Chapter 9: Basic full complex-argument Laguerre-Gauss wave

Chapter 10: Basic full real-argument Laguerre-Gauss wave

Chapter 11: Basic full complex-argument Hermite-Gauss wave

Chapter 12: Basic full real-argument Hermite-Gauss wave

Chapter 13: Basic full modified Bessel-Gauss wave

Chapter 14: Partially coherent and partially incoherent full Gaussian wave