Title Complex space source theory of spatially localized electromagnetic waves / S.R. Seshadri

Published Edison, NJ : SciTech Publishing, [2014] ©2014

Table of Contents
	Preface					xiii
	Foreword					xvii
1.	Fundamental Gaussian beam					1
1.	Vector potential					1
2.	Electromagnetic fields					3
3.	Radiation intensity					4
4.	Radiative and reactive powers					6
5.	Beam spreading on propagation					7
6.	Magnetic current density					8
7.	Some applications and limitations					9
	References					10
2.	Fundamental Gaussian wave					13
1.	Exact vector potential					13
2.	Exact electromagnetic fields					15
3.	Radiation intensity					17
4.	Radiative and reactive powers					19
5.	Gaussian beam beyond the paraxial approximation					21
	References					23
3.	Origin of point current source in complex space					25
1.	Scalar Gaussian beam					26
2.	Field of a point source					28
3.	Extensions					29
4.	Exact solution					30
	References					30
	Gcussian beam as a bundle of complex rays					31
4.	Basic full Gaussian wave					35
1.	Point source in complex space					35
2.	Electromagnetic fields					37
3.	Radiation intensity					39
4.	Radiative and reactive powers					40
5.	General remarks					42
	References					43
5.	Complex source point theory					45
1.	Derivation of complex space source					45
2.	Asymptotic field					47
3.	Analytic continuation					48
4.	Limiting absorption					50
	References					53
6.	Extended full Gaussian wave					55
1.	Current source of finite extent in complex space					55
2.	Time-averaged power					58
3.	Radiation intensity					61
4.	Radiative and reactive powers					63
	References					66
7.	Cylindrically symmetric transverse magnetic full Gaussian wave					67
1.	Cylindrically symmetric transverse magnetic beam					67
2.	Current source in complex space					72
3.	Cylindrically symmetric TM full wave					74
4.	Real power					75
5.	Reactive power					78
6.	Radiation intensity distribution					80
	References					82
8.	Two higher-order full Gaussian waves					85
1.	Higher-order hollow Gaussian wave					85
1.1.	Paraxial beam					85
1.2.	Complex space source					87
1.3.	Hollow Gaussian wave					88
2.	Cosh-Gauss Wave					90
2.1.	Cosh-Gauss Beam					90
2.2.	Complex space source					92
2.3.	Cosh-Gauss Wave					93
	References					94
9.	Basic full complex-argument Laguerre--Gauss wave					97
1.	Complex-argument Laguerre--Gauss beam					97
1.1.	Paraxial beam					97
1.2.	Time-averaged power					100
2.	Complex space source					101
3.	Complex-argument Laguerre-Gauss wave					103
4.	Real and reactive powers					104
	References					109
10.	Basic full real-argument Laguerre--Gauss wave					111
1.	Real-argument Laguerre--Gauss beam					111
1.1.	Paraxial beam					111
1.2.	Complex power					114
2.	Real-argument Laguerre--Gauss wave					116
3.	Real and reactive powers					118
	References					122
11.	Basic full complex-argument Hermite--Gauss wave					123
1.	Complex-argument Hermite--Gauss beam					123
1.1.	Paraxial beam					123
1.2.	Time-averaged power					126
2.	Complex-argument Hermite--Gauss wave					128
3.	Real and reactive powers					130
	References					135
12.	Basic full real-argument Hermite--Gauss wave					137
1.	Real-argument Hermite--Gauss beam					137
1.1.	Paraxial beam					137
1.2.	Time-averaged power					139
2.	Real-argument Hermite--Gauss wave					140
3.	Real and reactive powers					142
Appendix AA	Evaluation of the integral Im(x,z)					147
Appendix AB	Complex space source					148
	References					149
13.	Basic full modified Bessel--Gauss wave					151
1.	Modified Bessel--Gauss beam					151
1.1.	Paraxial beam					151
1.2.	Time-averaged power					153
2.	Modified Bessel--Gauss wave					155
3.	Real and reactive powers					156
	References					158
14.	Partially coherent and partially incoherent full Gaussian wave					161
1.	Extended full-wave generalization of the paraxial beam					162
2.	Cross-spectral density					165
3.	Radiation intensity for the partially coherent source					169
4.	Time-averaged power for the partially coherent source					173
5.	Radiation intensity for the partially incoherent source					175
6.	Time-averaged power for the partially incoherent source					178
7.	General remarks					178
	References					180
15.	Airy beams and waves					181
1.	Fundamental Airy beam					181
2.	Modified fundamental Airy beam					184
3.	Fundamental Airy wave					187
2.	Basic full modified Airy wave					190
5.	Remarks					197
	References					197
Appendix A	Green's function for the Helmholtz equation					199
A.1.	Three-dimensional scalar Green's function					199
A.2.	Fourier transform of scalar Green's function					201
A.3.	Bessel transform of scalar Green's function					203
	Reference					204
Appendix B	An integral					205
Appendix C	Green's function for the paraxial equation					207
C.1.	Paraxial approximation					207
C.2.	Green's function Gp(x,y,z)					208
C.3.	Fourier transform Gp(px,py,z)					209
C.4.	Bessel transform Gp(η,z)					209
	References					211
Appendix D	Electromagnetic fields					213
D.1.	Poynting vector and generated power					213
D.2.	Vector potentials					216
	References					217
Appendix E	Airy integral					219
	References					220
	Index					221

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Description 1 online resource (xvii, 225 pages) : illustrations Series Mario Boella series on electromagnetism in information and communication Mario Boella series on electromagnetism in information & communication. Contents 1. Fundamental Gaussian beam; 2. Fundamental Gaussian wave; 3. Origin of point current source in complex space; 4. Basic full Gaussian wave; 5. Complex source point theory; 6. Extended full Gaussian wave; 7. Cylindrically symmetric transverse magnetic full Gaussian wave; 8. Two higher-order full Gaussian waves; 9. Basic full complex-argument Laguerre-Gauss wave; 10. Basic full real-argument Laguerre-Gauss wave; 11. Basic full complex-argument Hermite-Gauss wave; 12. Basic full real-argument Hermite-Gauss wave; 13. Basic full modified Bessel-Gauss wave 14. Partially coherent and partially incoherent full Gaussian wave15. Airy beams and waves; Appendix A. Green's function for the Helmholtz equation; Appendix B. An integral; Appendix C. Green's function for the paraxial equation; Appendix D. Electromagnetic fields; Appendix E. Airy integral; Index Summary 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 Bibliography Includes bibliographical references and index Notes Online resource; title from digital title page (viewed on February 3, 2014) Subject Electromagnetic waves. Electromagnetic theory. Radiation electromagnetic radiation. SCIENCE -- Physics -- Quantum Theory. Electromagnetic theory Electromagnetic waves Form Electronic book ISBN 9781613531945 161353194X 9781628702118 1628702117

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