Electromagnetic wave propagation in inhomogeneous, moving media: A general solution of the problem

Ferencz, Csaba

doi:10.1029/2011rs004686

Cited by 6 publications

(10 citation statements)

References 24 publications

(43 reference statements)

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“…A whistler signal consists of a wide range of frequencies. Ferencz et al [2001] found a new solution using the Method of Inhomogeneous Basic Modes [ Ferencz , 1978]. This solution delivers not only the standard electron whistler solution, but the proton and ion whistler solution, the Faraday rotation (TiPP events in the case of f > f p ) and the solution for oblique propagation, also in the case of lossy plasmas.…”

Section: New Inversion Methodsmentioning

confidence: 99%

A new whistler inversion method

Lichtenberger

2009

J. Geophys. Res.

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[1] A new whistler inversion method has been developed to obtain plasmaspheric electron densities and propagation paths deduced from measured whistler data. It is based on the exact Appleton-Hartree dispersion relation and recent experimental density distribution models, comprising the following components: a longitudinal whistler wave propagation model; an empirical electron density distributions model along the field lines based on Polar spacecraft data; and dipole and International Geomagnetic Reference Field approximation of the Earth's magnetic field. The new method predicts electron densities and propagation paths different from the earlier methods. The validation of the method is difficult owing to lack of in situ measurements. A multiple-path whistler group model was introduced in addition to the whistler inversion method assuming a simplified (logarithmic) dependence of equatorial electron density. A new, time-frequency domain transformation of multiple path groups led us to validate the components of the whistler inversion method, and it adds a major extension to the inversion method in the case of multiple-path whistler groups. Beside that, the method is capable of providing electron density profiles for the plasmasphere by the analysis of multiple-path propagation whistlers.

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Section: New Inversion Methodsmentioning

confidence: 99%

A new whistler inversion method

Lichtenberger

2009

J. Geophys. Res.

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“…Because only the resultant of the modes, i.e., the resultant in is the solution of Maxwell's equations we have some degree of freedom choosing from basic modes. (More about this can be seen in [ Ferencz , 2011] or in earlier publications of the MIBM.) The structure of and the fact that A m ′ m , A n n ′ are non‐degenerative in every case suggest that the “basic modes” will be the solutions of the parts of , in which the {…} brackets are present.…”

Section: The Full‐wave Solution Of Maxwell's Equationsmentioning

confidence: 96%

“…Let us search the solution of Maxwell's equations as a sum of “basic modes” in every point, i.e.

F^{m n} = \sum_{i = 1}^{N}_{i} F^{m n} o r F_{m' n'} = \sum_{i = 1}^{N}_{i} F_{m' n'} etc.

where the index i is the marker of independent basic modes, i = 1, … N and N is the number of the modes in a given point, and we use in the case of index i the normal summation formalism as in the work of Ferencz [2011] too. With this choice Maxwell's equations are

\sum_{i = 1}^{N} [{\frac{\partial_{i} F_{m' n'}}{\partial x^{a'}} + \frac{\partial_{i} F_{n' a'}}{\partial x^{m'}} + \frac{\partial_{i} F_{a' m'}}{\partial x^{n'}}} \cdot A_{m}^{m'} A_{n}^{n'} A_{a}^{a'} +_{i} F_{m' n'} (\frac{\partial A_{m}^{m'}}{\partial x^{a'}} A_{n}^{n'} + \frac{\partial A_{n}^{n'}}{\partial x^{a'}} A_{m}^{m'}) A_{a}^{a'} +_{i} F_{n' a'} (\frac{\partial A_{n}^{n'}}{\partial x^{m'}} A_{a}^{a'} + \frac{\partial A_{a}^{a'}}{\partial x^{m'}} ...

…”

Section: The Full‐wave Solution Of Maxwell's Equationsmentioning

confidence: 99%

“…where the index i is the marker of independent basic modes, i = 1, … N and N is the number of the modes in a given point, and we use in the case of index i the normal summation formalism as in the work of Ferencz [2011] too. With this choice Maxwell's equations are…”

Section: The Full-wave Solution Of Maxwell's Equationsmentioning

confidence: 99%

“…Beside this, it will demonstrate that using this method it is not necessary to predefine the curved space‐time structure as a known boundary condition. Finally, the method is a generalization of the Method of Inhomogeneous Basic Modes (MIBM) [ Ferencz , 1978, 2004, 2011; Ferencz et al , 2001]. The presented method is not only an accidental choice between more possibilities, but in itself is the natural consequence of the structure of Maxwell's equations in the studies.…”

Section: Introductionmentioning

confidence: 99%

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Electromagnetic wave propagation in general relativistic situations: A general solution of the problem

Ferencz¹

2012

Radio Science

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[1] The exact full-wave modeling and computation of the electromagnetic signals propagating through curved space-time is important from theoretical and practical aspects (e.g., for satellite positioning systems). In this paper a general solution method is presented for these problems. Beside this, it is demonstrated that the Method of Inhomogeneous Basic Modes is a natural consequence of Maxwell's equations in the general relativity.

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A new born‐approximation approach to compute the effects of motion on the solution of electromagnetic problems involving moving materials with stationary boundaries

Raffetto,

Clemente Vargas,

Zeyde

2024

IET Science Measure & Tech

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The non‐relativistic motion of media induces very weak effects on electromagnetic fields. For this reason, it is extremely difficult to compute such effects with traditional techniques. To overcome this difficulty, a novel approach is introduced in this work. It is based on the Born approximation of the solution of electromagnetic problems involving media in motion. The formulation of these problems makes use of equivalent field sources and is specifically tailored to find the effects of motion on the electromagnetic field. The new methodology exploits traditional simulators able to deal with media at rest. The motion of the materials has to be managed by specific programs performing simple algebraic calculations. The simplest of the methods proposed does not present any additional complexity with respect to more traditional approaches to the same problems. All methods deal with time‐harmonic electromagnetic fields and, for this reason, they can manage materials in motion with stationary boundaries. A complete set of simulations for cylinders moving in the axial direction show that the new methods outperform traditional numerical approaches and, in some significant cases, traditional approaches based on semi‐analytical techniques. The good features of the new methodology are shown to hold true for a range of velocity values spanning 11 decades; such a range covers most of the applications of practical interest.

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Electromagnetic wave propagation in inhomogeneous, moving media: A general solution of the problem

Cited by 6 publications

References 24 publications

A new whistler inversion method

A new whistler inversion method

Electromagnetic wave propagation in general relativistic situations: A general solution of the problem

A new born‐approximation approach to compute the effects of motion on the solution of electromagnetic problems involving moving materials with stationary boundaries

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