Application of the Schelkunoff Formulation to the Sommerfeld Problem of a Vertical Electric Dipole Radiating Over an Imperfect Ground

Sarkar, Tapan K.; Dyab, Walid; Abdallah, Mohammad N.; Salazar-Palma, M.; Prasad, Manish; Sun, Ting

doi:10.1109/tap.2014.2325591

Cited by 19 publications

(24 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…An exponential E-field decay is also observed in the normal direction away from the metal-air interface(listed in Fig. 2 f), consistent with the evanescent property of the ZW's [8][9][10]15,[19][20][21][22][23][24] .…”

Section: Resultssupporting

confidence: 65%

“…Likewise, much research around ZW is focused on the communications and geophysics applications [15][16][17] . Unfortunately, ZW has been surrounded by the controversies regarding their physical existence [19][20][21] . The bulk of the controversy arose from the alleged sign error committed by Sommerfeld in 1909 20,21 .…”

mentioning

confidence: 99%

“…Unfortunately, ZW has been surrounded by the controversies regarding their physical existence [19][20][21] . The bulk of the controversy arose from the alleged sign error committed by Sommerfeld in 1909 20,21 . Some authors have shown feasibility of such waves 2 by recreating the critical Seneca lake experiment to debunk the Sommerfeld sign error myth 22 .…”

mentioning

confidence: 99%

“…The Brewster angle of incidence in case of ZW is frequency independent. Therefore, the attenuation of ZN waves is frequency independent and the attenuation rate is slow in the transverse direction 20,21 . The equi-phases of ZN waves tilt backwards in the air (at the metal-air interface) 8,9 .…”

mentioning

confidence: 99%

See 3 more Smart Citations

Experimental and Theoretical Realization of Zenneck Wave-based Non-Radiative, Non-Coupled Wireless Power Transmission

Oruganti¹,

Malik²,

Lee³

et al. 2019

Preprint

View full text Add to dashboard Cite

A decade ago, non-radiative wireless power transmission re-emerged as a promising alternative to deliver electrical power to devices where a physical wiring proved to be unfeasible. However, existing approaches are neither scalable nor efficient when multiple devices are involved, as they are restricted by factors like coupling and external environments. Zenneck waves are excited at interfaces, like surface plasmons and have the potential to deliver electrical power to devices placed on a conducting surface. Here, we demonstrate, efficient and long range delivery of electrical power by exciting nonradiative waves over metal surfaces to multiple loads. Our modeling and simulation using Maxwells equation with proper boundary conditions shows Zenneck type behavior for the excited waves and are in excellent agreement with experimental results. In conclusion, we 1 arXiv:1903.10294v1 [physics.app-ph]

show abstract

Section: Resultssupporting

confidence: 65%

mentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

See 2 more Smart Citations

Experimental and Theoretical Realization of Zenneck Wave-based Non-Radiative, Non-Coupled Wireless Power Transmission

Oruganti¹,

Malik²,

Lee³

et al. 2019

Preprint

View full text Add to dashboard Cite

show abstract

“…We include here sample numerical results to elucidate the properties of the alternative field representations and the behavior of the surface fields for several representative cases. However, in view of the recent misguided attempts in the literature to cast doubt on the existence of the Sommerfeld pole on the top sheet, [18,19] it is perhaps appropriate to begin with an example illustrating its effect on the Sommerfeld integrals. Hence, consider a vertical dipole placed at h = 5 m above a lossy ground with = 10 and conductivity σ = 10 mS/m at 1 MHz (λ 0 ≈ 300 m), which results in r = 10 − j180 and the Sommerfeld pole at k p /k 1 ≈ 0.999835 − j2.7679 × 10 −3 .…”

Section: Numerical Resultsmentioning

confidence: 99%

The Sommerfeld half-space problem revisited: from radio frequencies and Zenneck waves to visible light and Fano modes

Michalski

Mosig

2015

Journal of Electromagnetic Waves and Applications

View full text Add to dashboard Cite

The classical Sommerfeld half-space problem is revisited, with generalizations to multilayer and plasmonic media and focus on the surface field computation. A new ab initio solution is presented for an arbitrarily oriented Hertzian dipole radiating in the presence of a material half-space with arbitrary horizontal stratification. The solution method combines the vector potential approach and the spectral domain transmission line analog of the medium, which results in the most compact formulation and facilitates the inclusion of any number of layers in the analysis. Following Sommerfeld, the solution is first expressed in terms of the Fourier-Bessel transforms, also known as Sommerfeld integrals. Analytical properties of the integrands in the complex plane are then investigated, including the location of the Sommerfeld pole, which gives rise to the Zenneck wave (ZW) or surface plasmon polariton (SPP), and alternative field representations are developed by a deformation of the integration path and analytic continuation of the integrand functions, using hyperbolic and vertical branch cuts. Closed-form expressions for the asymptotic surface fields are also derived and the rôle of the ZW and SPP is elucidated. Numerical examples are included to illustrate the theory, from radio frequencies to visible light.

show abstract

Mechanism of Wireless Propagation

Sarkar¹,

Salazar-Palma²,

Abdallah³

2018

The Physics and Mathematics of Electromagnetic Wave Propagation in Cellular Wireless Communication

View full text Add to dashboard Cite

Application of the Schelkunoff Formulation to the Sommerfeld Problem of a Vertical Electric Dipole Radiating Over an Imperfect Ground

Cited by 19 publications

References 8 publications

Experimental and Theoretical Realization of Zenneck Wave-based Non-Radiative, Non-Coupled Wireless Power Transmission

Experimental and Theoretical Realization of Zenneck Wave-based Non-Radiative, Non-Coupled Wireless Power Transmission

The Sommerfeld half-space problem revisited: from radio frequencies and Zenneck waves to visible light and Fano modes

Mechanism of Wireless Propagation

Contact Info

Product

Resources

About