Spheroidal Wave Functions in Electromagnetic Theory

Spheroidal Wave Functions in Electromagnetic Theory PDF Author: Le-Wei Li
Publisher: John Wiley & Sons
ISBN: 047146418X
Category : Science
Languages : en
Pages : 315

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Book Description
The flagship monograph addressing the spheroidal wave function and its pertinence to computational electromagnetics Spheroidal Wave Functions in Electromagnetic Theory presents in detail the theory of spheroidal wave functions, its applications to the analysis of electromagnetic fields in various spheroidal structures, and provides comprehensive programming codes for those computations. The topics covered in this monograph include: Spheroidal coordinates and wave functions Dyadic Green's functions in spheroidal systems EM scattering by a conducting spheroid EM scattering by a coated dielectric spheroid Spheroid antennas SAR distributions in a spheroidal head model The programming codes and their applications are provided online and are written in Mathematica 3.0 or 4.0. Readers can also develop their own codes according to the theory or routine described in the book to find subsequent solutions of complicated structures. Spheroidal Wave Functions in Electromagnetic Theory is a fundamental reference for scientists, engineers, and graduate students practicing modern computational electromagnetics or applied physics.

Spheroidal Wave Functions in Electromagnetic Theory

Spheroidal Wave Functions in Electromagnetic Theory PDF Author: Le-Wei Li
Publisher: John Wiley & Sons
ISBN: 047146418X
Category : Science
Languages : en
Pages : 315

Get Book Here

Book Description
The flagship monograph addressing the spheroidal wave function and its pertinence to computational electromagnetics Spheroidal Wave Functions in Electromagnetic Theory presents in detail the theory of spheroidal wave functions, its applications to the analysis of electromagnetic fields in various spheroidal structures, and provides comprehensive programming codes for those computations. The topics covered in this monograph include: Spheroidal coordinates and wave functions Dyadic Green's functions in spheroidal systems EM scattering by a conducting spheroid EM scattering by a coated dielectric spheroid Spheroid antennas SAR distributions in a spheroidal head model The programming codes and their applications are provided online and are written in Mathematica 3.0 or 4.0. Readers can also develop their own codes according to the theory or routine described in the book to find subsequent solutions of complicated structures. Spheroidal Wave Functions in Electromagnetic Theory is a fundamental reference for scientists, engineers, and graduate students practicing modern computational electromagnetics or applied physics.

Prolate Spheroidal Wave Functions for Electromagnetic Theory

Prolate Spheroidal Wave Functions for Electromagnetic Theory PDF Author: Walter L. Weeks
Publisher:
ISBN:
Category : Electromagnetic theory
Languages : en
Pages : 114

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The Theory of Electromagnetic Waves

The Theory of Electromagnetic Waves PDF Author:
Publisher:
ISBN:
Category : Electric waves
Languages : en
Pages : 412

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Tables of Angular Spheroidal Wave Functions: Oblate, m

Tables of Angular Spheroidal Wave Functions: Oblate, m PDF Author: Arnie Lee Van Buren
Publisher:
ISBN:
Category : Spheroidal functions
Languages : en
Pages : 430

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Mathematical Models and Numerical Methods for Full Wave Analysis of Prolate and Oblate Spheroidal Conformal Microwave Components

Mathematical Models and Numerical Methods for Full Wave Analysis of Prolate and Oblate Spheroidal Conformal Microwave Components PDF Author: Saif Al-Hasson
Publisher: Cuvillier Verlag
ISBN: 3736947968
Category : Technology & Engineering
Languages : en
Pages : 158

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Book Description
Conformal components are used nowadays at higher rate than ever before. They can be found in curved mobile phones, communication, navigation, and imaging systems in land, water, air, and space vehicles. The integration of those components within the external structure became of significant importance for aerodynamic, electromagnetic, aesthetic, or physical reasons. As a result, many mathematical models were previously developed to analyze and optimize such conformed devices. In this thesis, we contributed to this field by developing various models for full wave analysis of spheroidal components. As a starting point, mathematical formulas for conforming antennas on oblate and prolate spheroids were obtained. Those conformation methods were validated by conforming many antennas on spheroidal surfaces. They were then used to formulate Method of Moments equations with spheroidally curved current functions for analyzing wire antennas of random shape conformed to spheroids in the frequency domain. The complete model was applied to a conformal Archimedean spiral antenna on an oblate spheroid and showed that the conformed spiral has similar current distribution as its planar counterpart but produces an unsymmetrical radiation pattern. The obtained model was then extended to spheroidal multi-layer structures by integrating the spheroidal dyadic Green’s Function within its mathematical derivation. However, due to a detected divergence in that function, the model couldn’t be implemented. On the side of time based analysis methods, a Finite Difference Time Domain method was developed for closed oblate and prolate spheroidal structures. Alternative formulas for the structure’s singularities and the condition of numerical stability were derived as well. The obtained model was then validated and used to characterize spheroidal cavities in the time and frequency domains. The method was extended later to unbounded spheroidal domain by deriving the Absorbing Boundary Conditions using the One Way Wave method. The whole model was then applied to characterize a patch antenna conformed to a prolate spheroid. Finally, an analytical solution for the transient fields in spherical multilayer media energized by spherical harmonics source and an algorithm for tracing back the path of all the reflected waves were obtained. The model was applied to different multilayer structures where the transient response was obtained and validated against a numerical solution.

Diffraction of Electromagnetic Waves on Two Bodies

Diffraction of Electromagnetic Waves on Two Bodies PDF Author: Evgeniĭ Alekseevich Ivanov
Publisher:
ISBN:
Category : Electromagnetic waves
Languages : en
Pages : 578

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Tables of Radial Spheroidal Wave Functions

Tables of Radial Spheroidal Wave Functions PDF Author: Naval Research Laboratory (U.S.)
Publisher:
ISBN:
Category : Functions, Spheroidal
Languages : en
Pages : 800

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Tables of Radial Spheroidal Wave Functions

Tables of Radial Spheroidal Wave Functions PDF Author: Sam Hanish
Publisher:
ISBN:
Category : Functions, Spheroidal
Languages : en
Pages : 644

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Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports PDF Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 320

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Book Description


Spheroidal Wave Functions

Spheroidal Wave Functions PDF Author: Carson Flammer
Publisher: Courier Corporation
ISBN: 0486158519
Category : Mathematics
Languages : en
Pages : 268

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Book Description
Intended to facilitate the use and calculation of spheroidal wave functions, this applications-oriented text features a detailed and unified account of the properties of these functions. Addressed to applied mathematicians, mathematical physicists, and mathematical engineers, it presents tables that provide a convenient means for handling wave problems in spheroidal coordinates. Topics include separation of the scalar wave equation in spheroidal coordinates, angle and radial functions, integral representations and relations, and expansions in spherical Bessel function products. Additional subjects include recurrence relations of Whittaker type, asymptotic expansions for large values of c, and vector wave functions. The text concludes with an appendix, references, and tables of numerical values.