Transient excitation of a straight thin-wire segment: a new look at an old problem

Tijhuis, A.G.; Zhongqiu, P.; Bretones, A.R.

doi:10.1109/8.182445

Cited by 98 publications

(48 citation statements)

References 31 publications

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“…In Figures 9 and 10, another interesting phenomenon can be observed. Namely, for 20 mlong wire, a relatively low discrepancy between the results can be seen, due to the implementation of simplified approximation for the reflection coefficient arising from Modified Image Theory (19). The discrepancy that can be observed for smaller burial depths is caused by the vicinity of the earth-air interface.…”

Section: Resultsmentioning

confidence: 85%

“…The approximation (26) has proven to be valid in papers by Tijhuis et al [19,28]. The apparent advantage of this approximation is replacing the integral equation with corresponding ordinary differential equation with the unknown induced current.…”

Section: Analytical Solution Of Pocklington Equationmentioning

confidence: 99%

“…In 1938, Hallen used an approximation to solve corresponding integral equation in the frequency domain [27]. Adjustment of that approximation has recently been used to obtain the solution of integral equation in time domain [19,28].…”

Section: Analytical Solution Of Pocklington Equationmentioning

confidence: 99%

“…Such papers usually deal with a narrow set of parameters for which the model is valid (free space, homogeneous medium) [16][17][18][19]. Hoorfar and Chang give the solution for transient response of thin wire in free space using singularity expansion method [16].…”

Section: Introductionmentioning

confidence: 99%

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Time Domain Analytical Modeling of a Straight Thin Wire Buried in a Lossy Medium

Šesnić¹,

Poljak²,

Tkachenko³

2011

PIER

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Abstract-This paper deals with an analytical solution of the time domain Pocklington equation for a straight thin wire of finite length, buried in a lossy half-space and excited via the electromagnetic pulse (EMP) excitation. Presence of the earth-air interface is taken into account via the simplified reflection coefficient arising from the Modified Image Theory (MIT). The analytical solution is carried out using the Laplace transform and the Cauchy residue theorem. The EMP excitation is treated via numerical convolution. The obtained analytical results are compared to those calculated using the numerical solution of the frequency domain Pocklington equation combined with the Inverse Fast Fourier Transform (IFFT).

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Section: Resultsmentioning

confidence: 85%

Section: Analytical Solution Of Pocklington Equationmentioning

confidence: 99%

Section: Analytical Solution Of Pocklington Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Time Domain Analytical Modeling of a Straight Thin Wire Buried in a Lossy Medium

Šesnić¹,

Poljak²,

Tkachenko³

2011

PIER

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“…These situations are parallel antennas with a distance d between their midpoints parallel to the orientation of the transmitter or perpendicular to it. The integral equation for the current in the transmit antennas has been derived by many authors [see, e.g., Pocklington, 1897;Hallén, 1938;Tijhuis et al, 1992;Leat, 1999], and will not be repeated here,…”

Section: Integral Equation For Coupled Antennasmentioning

confidence: 99%

Coupling effects of two electric dipoles on an interface

Slob

Fokkema

2002

Radio Science

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[1] Numerical modeling of thin-wire antennas is interesting to people working on antenna design and to people working on the processing and interpretation of radar data. They have different demands regarding the output of the model code. Our primary interest lies with improving image resolution through processing of ground-penetrating radar data. For this goal the effects of two antennas placed close together on the Earth's surface are studied. To study the antenna to antenna coupling and antenna to ground coupling, a model for linear dipoles is used. The model uses a thin-wire approximation for the transmit and receive antennas. The antennas are placed just above the air-Earth interface. The Earth is modeled as a horizontal layer stack. Using this model, we study the coupling effects between two parallel antennas, either in each other's E-plane or H-plane. For ordinary antenna distances, the coupling between two parallel antennas when they are resistively loaded is on the order of À70 dB, which is not negligible for GPR applications. The influence of the lower halfspace on antenna behavior is strong but limited to a fraction of the wavelength in depth.

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