Propagation of vertically and horizontally polarized waves excited by distributions of electric and magnetic sources in irregular stratified spheroidal structures of finite conductivity – generalized field transforms

1983 ◽  
Vol 61 (1) ◽  
pp. 113-127 ◽  
Author(s):  
E. Bahar ◽  
M. Fitzwater
Keyword(s):  
Electromagnetic Fields ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Radial Distance ◽  
Finite Conductivity ◽  
Scalar Wave ◽  
Bodies Of Revolution ◽  
Full Wave ◽  
Polarized Waves ◽  
Spherical Structures

Transform pairs for the electromagnetic fields in radially stratified spherical structures are derived. These field transforms are used to convert Maxwell's equations into generalized telegraphists' equations for the scalar wave amplitudes. Arbitrary distributions of electric and magnetic sources are considered and the full-wave expansions account for both vertically and horizontally polarized waves. The analysis in this paper also provides the basis for the complete expansion of the electromagnetic fields in irregular spheroidal structures (bodies of revolution) in which the medium is varying as a function of the radial distance and the latitude. This work can be applied to propagation in irregular ionospheric and tropospheric ducts.

Scattering and depolarization of electromagnetic waves in irregular stratified spheroidal structures of finite conductivity – full wave analysis

1983 ◽  
Vol 61 (1) ◽  
pp. 128-139 ◽  
Author(s):  
E. Bahar ◽  
M. Fitzwater
Keyword(s):  
Electromagnetic Waves ◽  
Radial Distance ◽  
Electromagnetic Theory ◽  
Finite Conductivity ◽  
Wave Analysis ◽  
Bodies Of Revolution ◽  
First Order ◽  
Full Wave ◽  
Exact Boundary ◽  
Full Wave Analysis

Scattering and depolarization of electromagnetic waves in irregular stratified, spheroidal structures (bodies of revolution) are investigated. Using complete expansions for the electromagnetic fields, Maxwell's equations are converted into sets of first order coupled differential equations for the forward and backward wave amplitudes. To obtain these generalized telegraphists' equations, exact boundary conditions are imposed at each of the interfaces between the irregular layers of the structure and Green's theorems are used to avoid term-by-term differentiation of the complete expansions. The electromagnetic parameters of the medium are assumed to vary as functions of the radial distance and the latitude. Excitations by arbitrary distributions of electric and magnetic sources are considered. Thus, this work can be applied to propagation in irregular ionospheric and tropospheric ducts. The solutions are shown to satisfy duality and reciprocity relationships in electromagnetic theory.

Exact solutions of the three-dimensional scalar wave equation and Maxwell's equations from the approximate solutions in the wave zone through the use of the Radon transform

1989 ◽  
Vol 422 (1863) ◽  
pp. 351-365 ◽  
Keyword(s):  
Wave Equation ◽  
Exact Solutions ◽  
Radon Transform ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Three Dimensional ◽  
Asymptotic Solutions ◽  
Scalar Wave ◽  
Wave Zone ◽  
One Dimensional

In our earlier paper we have shown that the solutions of both the three-dimensional scalar wave equation, which is also the three-dimensional acoustic equation, and Maxwell’s equations have forms in the wave zone, which, except for a factor 1/ r , represent one-dimensional wave motions along straight lines through the origin. We also showed that it is possible to reconstruct the exact solutions from the asymptotic forms. Thus we could prescribe the solutions in the wave zone and obtain the exact solutions that would lead to them. In the present paper we show how the exact solutions can be obtained from the asymptotic solutions and conversely, through the use of a refined Radon transform, which we introduced in a previous paper. We have thus obtained a way of obtaining the exact three-dimensional solutions from the essentially one-dimensional solutions of the asymp­totic form entirely in terms of transforms. This is an alternative way to obtaining exact solutions in terms of initial values through the use of Riemann functions. The exact solutions that we obtain through the use of the Radon transform are causal and therefore physical solutions. That is, these solutions for time t > 0 could have been obtained from the initial value problem by prescribing the solution and its time-derivative, in the acoustic case, and the electric and magnetic fields, in the case of Maxwell’s equations, at time t = 0. The role of time in the relation between the exact solutions and in the asymptotic solutions is made very explicit in the present paper.

Propagation in Irregular Multilayered Cylindrical Structures of Finite Conductivity—Full Wave Solutions

1975 ◽  
Vol 53 (11) ◽  
pp. 1088-1096 ◽  
Author(s):  
E. Bahar
Keyword(s):  
Electromagnetic Fields ◽  
Wave Spectrum ◽  
Skin Depth ◽  
Finite Conductivity ◽  
Continuous Part ◽  
Cylindrical Structures ◽  
The Core ◽  
Full Wave ◽  
Wave Solutions ◽  
Exact Boundary

Radio wave propagation problems, in irregular multilayered cylindrical structures of finite conductivity, are analyzed. The thickness and the electromagnetic parameters of the layers of the structures are assumed to be functions of the azimuth. Electric and magnetic field transforms consisting of both a discrete and a continuous spectrum of cylindrical waves provide a suitable basis for the expansion of the electromagnetic fields at any point in the unbounded structure.In the analysis, exact boundary conditions are imposed at each interface between the layers of the irregular cylindrical structure and the full wave solutions are shown to satisfy the reciprocity relationships in electromagnetic theory.When the core of the structure is perfectly conducting, the contributions from the continuous part of the wave spectrum vanish. However, in general, when the skin depth of the core is large compared to its dimensions, or when sources are located in the core of the structure and propagation in the core is of particular interest, the electromagnetic fields cannot be expressed exclusively in terms of a discrete spectrum of waves. In these cases, due to the irregularities of the structure, power is continuously coupled between the discrete and continuous constituents of the wave spectrum.

On the integration of Maxwell’s equations, and charge and dipole fields

1964 ◽  
Vol 279 (1379) ◽  
pp. 562-571 ◽  
Keyword(s):  
Electromagnetic Fields ◽  
Free Space ◽  
Integral Identity ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Direct Integration ◽  
Magnetic Dipoles ◽  
Dimensional Integral

It is shown how the direct integration of Maxwell’s equations for free space may be accomplished by using a four-dimensional integral identity constructed for this purpose. The method is applied to the calculation of the electromagnetic fields of moving electric charges, and electric and magnetic dipoles.

Real Full Wave Solution of Maxwell’s Equations

2001 ◽  
pp. 1-38
Author(s):  
Csaba Ferencz ◽  
Orsolya E. Ferencz ◽  
Dániel Hamar ◽  
János Lichtenberger
Keyword(s):  
Wave Solution ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Full Wave
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