Second-Order Formulation for the Quasi-Static Field From a Vertical Electric Dipole on a Lossy Half-Space

Parise, Mauro

doi:10.2528/pier12112508

Cited by 16 publications

(9 citation statements)

References 31 publications

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“…The source and observation points are located on the surface of a medium with 1 =10 0 , while the radial position of the observation point and the dipole axis are 45 degrees apart from each other (ϕ = π/4). As in the previous work focused on the field of a VED [21], the conductivity σ 1 of the halfspace is taken as a parameter and assumed to be equal to 0.01, 0.1,…”

Section: Discussionmentioning

confidence: 99%

“…and where the interchange of derivative and integral is justified in virtue of the continuous dominated convergence theorem [21]. The method to decompose Q a into the sum of simpler terms, and apply (27) and (28) to each of them, can be repeated for the remaining integrals in (16)- (23).…”

Section: Theorymentioning

confidence: 99%

“…Proceeding as done in an analogous study concerning the vertical electric dipole [21], the field integrals are expanded into power series of τ . Next, the terms up to the second-order are retained and cast into forms involving only known tabulated Sommerfeld Integrals.…”

Section: Introductionmentioning

confidence: 99%

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Second-Order Formulation for the Quasi-Static Field From a Horizontal Electric Dipole on a Lossy Half-Space

Parise¹

2013

PIER

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Abstract-In a recent study, we proposed improved quasi-static approximations for the electromagnetic field components excited by a vertical electric dipole lying on the surface of a flat and homogeneous lossy half-space. The present paper introduces an analytical approach to derive analogous formulas for the case of the horizontal electric dipole. The approach is based on the expansion of the integral representations for the fields into power series of the ratio between the wavenumbers in free-space and in the conducting medium. Later, only the terms up to the second-order are retained, and term-by-term analytical integration is performed. Numerical results demonstrate that using the derived second-order approximations for the fields in place of the zeroth-order ones allows to reduce the maximum relative error in the calculation of the fields from about 23% down to less than 7%.

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Section: Discussionmentioning

confidence: 99%

Section: Theorymentioning

confidence: 99%

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Second-Order Formulation for the Quasi-Static Field From a Horizontal Electric Dipole on a Lossy Half-Space

Parise¹

2013

PIER

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“…On the other hand, introducing the asymptotic expansions of the modified Bessel functions for large arguments, namely [26,33,34]…”

Section: Problem Formulationmentioning

confidence: 99%

Loop Antennas With Uniform Current in Close Proximity to the Earth: Canonical Solution to the Surface-to-Surface Propagation Problem

Parise¹,

Muzi²,

Antonini³

2017

PIER B

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Abstract-In a recent study, the classical problem of a large circular loop antenna carrying uniform current and situated at the Earth's surface has been revisited, with the scope to derive a totally analytical explicit expression for the radial distribution of the generated magnetic field. Yet, the solution arising from the study exhibits two major drawbacks. First, it describes the vertical magnetic field component only. Second, it is a valid subject to the quasi-static field assumption, which limits its applicability to the low-frequency range. The purpose of the present work is to provide the exact canonical solution to the problem, describing all the generated electromagnetic field components and valid in both the quasi-static and non-quasi-static frequency regions. These two features constitute an improvement with respect to the preceding solution. The canonical solution, which is obtained by reducing the field integrals to combinations of known Sommerfeld integrals, is seen to be also advantageous over the previous numerical and analytical-numerical approaches, since its usage takes negligible computation time. Numerical simulations are performed to show the accuracy of the obtained field expressions and to investigate the behavior of the above surface ground-and lateral-wave contributions to the fields in a wide frequency range. It is shown that in the near-zone the two waves do not predominate over each other, while the effect of the lateral wave becomes negligible only when the source-receiver distance is far greater than the skin depth in the Earth.

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“…The study of the radiation characteristics of dipole antennas situated in proximity to stratified media has attracted the interest of several scientists in the past years [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. This is because electric dipoles are extensively used in a variety of engineering applications, especially in the areas of close-to-thesurface radio communication, geophysical prospecting, radio remote sensing, and hypethermia [2-7, 11-15, 22, 23].…”

Section: Introductionmentioning

confidence: 99%

On the Radiation From a Short Current-Carrying Straight Wire Oriented Perpendicular to a Stratified Medium

Parise¹,

Antonini²

2017

PIER

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Abstract-In a previous work, improved full-wave analytical expressions have been derived for the Sommerfeld Integrals (SIs) describing electromagnetic radiation from a short vertical straight wire located in close proximity to a conductive soil. Such formulas ensure high accuracy of the result of the computation, as well as time savings with respect to conventional techniques used to evaluate the SIs, but unfortunately may be used only when both source and field points are located at the air-medium interface. The scope of this paper is to overcome the limitations implied by the previous approach, and provide series-form expressions for the generated field components that are valid for an arbitrarily stratified medium and for any position of the vertical wire antenna and observation point in the air space above it. The expressions follow from the analytical evaluation of the integral representation for the magnetic vector potential, performed through contour integration after substituting an equivalent pole set for each branch cut of the integrand. Validity, efficiency and accuracy of the developed formulas are illustrated through numerical examples.

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Second-Order Formulation for the Quasi-Static Field From a Vertical Electric Dipole on a Lossy Half-Space

Cited by 16 publications

References 31 publications

Second-Order Formulation for the Quasi-Static Field From a Horizontal Electric Dipole on a Lossy Half-Space

Second-Order Formulation for the Quasi-Static Field From a Horizontal Electric Dipole on a Lossy Half-Space

Loop Antennas With Uniform Current in Close Proximity to the Earth: Canonical Solution to the Surface-to-Surface Propagation Problem

On the Radiation From a Short Current-Carrying Straight Wire Oriented Perpendicular to a Stratified Medium

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