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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

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

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

Book Description


The Theory of Electromagnetic Waves

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

Book Description


The Expansion of Electromagnetic Fields and Potentials in the Wave Functions of the Photon

The Expansion of Electromagnetic Fields and Potentials in the Wave Functions of the Photon PDF Author: Harry E. Moses
Publisher:
ISBN:
Category : Electromagnetic waves
Languages : en
Pages : 70

Book Description
The expansion of the unquantized electromagnetic fields and vector and scalar potentials in terms of the wave functions of the relativistic photon is reviewed and extended. Both linear and angular momentum bases are used for the photon wave functions. After second quantizing the electromagnetic field, the results are applied to the obtaining of the exact matrix elements (that is, with retardation taken into account exactly) and selection rules for the emission of photons by hydrogenic atoms. The dichotomy between the photon and wave picture of electromagnetic radiation is discussed and resolved. Furthermore, the most general vector and scaler potentials are obtained through the use of the eigenfunctions of the curl operator. (Author).

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

Book Description


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

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.

The Theory of Electromagnetic Waves

The Theory of Electromagnetic Waves PDF Author: Morris Kline
Publisher:
ISBN:
Category : Electromagnetic theory
Languages : en
Pages : 422

Book Description


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

Book Description


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

Book Description


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

Book Description