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Complex Space Source Theory of Spatially Localized Electromagnetic Waves

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Author(s): S. R. Seshadri
Publication Year: 2013

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. Complex Space Source Theory of Spatially Localized Electromagnetic Waves introduces and carefully explains original analytical techniques; includes a treatment of partially coherent and partially incoherent waves; provides treatment of the newly developing area of Airy beams and waves; develops complex space source theory as a branch of Fourier Optics.

Inspec keywords: electromagnetic fields; integral equations; Green's function methods; electromagnetic waves; Helmholtz equations

Other keywords: Laguerre-Gauss wave; full Gaussian wave; spatially localized electromagnetic wave; electromagnetic fields; complex space source theory; Gaussian beam; complex source point theory; point current source origin; Airy integral; Airy beam; Hermite-Gauss wave; Green function; Helmholtz equation; paraxial equation; Bessel-Gauss wave; An integral

Subjects: Electromagnetic waves: theory; Mathematical analysis; Electromagnetic waves, antennas and propagation; Electromagnetic fields; Function theory, analysis; General electrical engineering topics; Integral equations (numerical analysis); Textbooks

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