Time-Domain Electromagnetic Fields Radiating Along the Horizontal Interface Between Vertically Uniaxial Half-Space Media

Lihh, Won-seok; Nam, Sangwook

doi:10.1109/tap.2007.895623

Cited by 4 publications

(5 citation statements)

References 21 publications

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“…For more complex structures containing anisotropic layers, the initial approximation of this kind is unknown. (The CHM allows us to study as yet the simplest situation where the source and the observation point are located on the boundary of an anisotropic medium [19]. )…”

Section: Discussionmentioning

confidence: 99%

“…By taking into account the evenness of the chosen branches of square roots entering the function with respect to this change of variables and by performing another change of variables , we arrive at the following expression for the integral in (15) (19) where (20) and the contour envelopes the segment in the plane of the complex variable . Let us introduce an accessory parameter for the sake of convergence acceleration; then (19) can be rewritten in the form of (21), shown at the bottom of the page.…”

Section: Transformation To Single Integralsmentioning

confidence: 99%

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Pulsed Radiation From a Line Electric Current Near a Planar Interface: A Novel Technique

Pazynin

2011

IEEE Trans. Antennas Propagat.

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A novel technique has been suggested for the analysis of a transient electromagnetic field generated by a pulsed line current that is located near a planar interface between two dielectric nonabsorbing and nondispersive media. As distinct from the Cagniard-de Hoop method, which is widely used for the study of transient fields both in electrodynamics and in the theory of acoustic and seismic waves, our approach is based on the transformation of the domain of integration in the integral expression for the field in the space of two complex variables. As a result, it will suffice to use the standard procedure of finding of roots of the algebraic equation rather than construct auxiliary Carniard's contours. A fresh type of the representation for the field has been derived in the form of an integral along a finite contour. The algorithm based on the representation of this kind may work as the most efficient tool for calculating fields in multilayered media. The method suggested allows extension to the case of arbitrary dipole sources.

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Section: Discussionmentioning

confidence: 99%

Section: Transformation To Single Integralsmentioning

confidence: 99%

Pulsed Radiation From a Line Electric Current Near a Planar Interface: A Novel Technique

Pazynin

2011

IEEE Trans. Antennas Propagat.

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“…similarly as in the Laplace time-transform domain [15], with and in medium where . The permeability is assumed to be the free-space one .…”

Section: A Maxwell's Equations In Wavenumber Domainmentioning

confidence: 99%

“…Solving (4) and (5) with and gives the modal fields (15) The fields in the space domain are written as…”

Section: B the Ws Expressions For Time-harmonic Fieldsmentioning

confidence: 99%

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Asymptotic Fields in Frequency and Time Domains Generated by a Point Source at the Horizontal Interface Between Vertically Uniaxial Media

Lihh¹

2007

IEEE Trans. Antennas Propagat.

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For a point current source placed at the interface between two half-space media, investigation is made of the far-zone asymptotic fields in the frequency domain and their transient waveforms. The media are electrically uniaxial with the uniaxis normal to the interface. The leading-order fields contributed by the stationary-phase points serve as good approximations well off the critical angles. Near the critical angles, the uniform asymptotic techniques need to be employed for a proper approximation. Unlike the ordinary wave, the extraordinary wave cannot be correctly described merely by taking into account the proximity of the stationary and branch points, except in some rare cases. Consideration must also be given to the combined effect associated with the pole introduced in the formulation. The validities of the asymptotic approximations are examined in the time domain by comparing the asymptotic-field waveforms with the wavenumber-synthetic waveforms, around the critical angle of the extraordinary wave.

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New Analytical Solutions of Selected Electromagnetic Problems in Wave Diffraction Theory

Pazynin

2016

Electromagnetic Waves in Complex Systems

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Time-Domain Electromagnetic Fields Radiating Along the Horizontal Interface Between Vertically Uniaxial Half-Space Media

Cited by 4 publications

References 21 publications

Pulsed Radiation From a Line Electric Current Near a Planar Interface: A Novel Technique

Pulsed Radiation From a Line Electric Current Near a Planar Interface: A Novel Technique

Asymptotic Fields in Frequency and Time Domains Generated by a Point Source at the Horizontal Interface Between Vertically Uniaxial Media

New Analytical Solutions of Selected Electromagnetic Problems in Wave Diffraction Theory

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