Analogue Hawking Radiation in Nonlinear LC Transmission Lines

Analogue systems are used to test Hawking radiation, which is hard to observe in actual black holes. One such system is the electrical transmission line, but it suffers the inevitable issue of excess heat that collapses the successfully generated analogue black holes. Soliton provides a possible solution to this problem due to its stable propagation without unnecessary energy dissipation in nonlinear transmission lines. In this work, we propose analogue Hawking radiation in a nonlinear LC transmission line including nonlinear capacitors with a third-order nonlinearity in voltage. We show that this line supports voltage soliton that obeys the nonlinear Schrödinger equation by using the discrete reductive perturbation method. The voltage soliton spatially modifies the velocity of the electromagnetic wave through the Kerr effect, resulting in an event horizon where the velocity of the electromagnetic wave is equal to the soliton velocity. Therefore, Hawking radiation bears soliton characteristics, which significantly contribute to distinguishing it from other radiation.

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On Heaviside's contributions to transmission line theory: waves, diffusion and energy flux

Philosophical Transactions of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rsta.2017.0457 ◽

2018 ◽

Vol 376 (2134) ◽

pp. 20170457

Author(s):

Christopher Donaghy-Spargo

Keyword(s):

Transmission Line ◽

Transmission Lines ◽

Physical Nature ◽

Electromagnetic Theory ◽

Electrical Transmission ◽

Important Work ◽

Transmission Line Theory ◽

Energy Current ◽

Electrical Transmission Line ◽

Line Theory

This paper surveys some selected contributions of Oliver Heaviside FRS (1850–1925) to classical electromagnetic theory and electrical engineering science. In particular, the paper focuses on his contributions to the development of electrical transmission line theory and his deep insights into the ‘physical’ nature of the phenomena relating to nineteenth century telegraphic problems. Following a brief historical introduction to the life of Heaviside to put his achievements in context, we explore his contributions to the reformulation of Maxwell's equations and the understanding of electromagnetic wave propagation along the external region of transmission lines. This leads naturally to his researches regarding the electromagnetic diffusion process inside the line conductors and his subsequent realization that the circuital parameters, usually assumed constant, are not always so. Finally, taking both these internal and external viewpoints of the conductors, his important work regarding the flow of energy described by his ‘energy current’ concept is presented. This article is part of the theme issue ‘Celebrating 125 years of Oliver Heaviside's ‘Electromagnetic Theory’’.

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Design aspects of high voltage transmission line

Bulletin of Electrical Engineering and Informatics ◽

10.11591/eei.v9i3.2062 ◽

2020 ◽

Vol 9 (3) ◽

pp. 853-861

Author(s):

Jabbar Qasim Fahad ◽

Riyadh Kamil Chillab

Keyword(s):

Transmission Line ◽

Transmission Lines ◽

Electrical Power ◽

Implementation Process ◽

Overhead Line ◽

Electrical Transmission ◽

High Voltage Transmission Line ◽

High Tension ◽

Electrical Transmission Line ◽

Selection Of

The transmission lines are very important in the transmitted of electrical power, and the process of selecting the voltage of the line is an important task in the design and implementation process. The process of transferring electrical power from one side then onto the next place for long away. While maintaining the percentage regulation within the permissible limits is an important problem in the transfer of energy. In electrical transmission line there are important elements are resistance, inductance and capacitance. The purpose of this paper is to study and calculate economic high-tension voltage and selection of overhead line conductor ACSR.

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Lumbricides as a bio-indicators of the influence of electrical transmission line in the conditions of Ukrainian Polissia

Travaux du Muséum National d’Histoire Naturelle “Grigore Antipa” ◽

10.3897/travaux.63.e51640 ◽

2020 ◽

Vol 63 (1) ◽

pp. 7-18

Author(s):

Ruslana Vlasenko ◽

Ivan Khomyak ◽

Oleksandr Harbar ◽

Nataliia Demchuk

Keyword(s):

Transmission Line ◽

Electric Fields ◽

Transmission Lines ◽

Lumbricus Terrestris ◽

The Body ◽

Morphological Parameters ◽

Electrical Transmission ◽

Electrical Transmission Line ◽

The Creation ◽

The Impact

The complex interaction of a man and the environment requires the creation of algorithms for predict- ing the effects of anthropogenic impact. This requires the creation of the ecosystem models where all their basic elements and relationships are taken into account. One of the most effective methods for choosing the most informative differential elements of a system is the development and the implemen- tation of bio-indication models. Nowadays the important task is the development of the bio-indication methods for various anthropogenic complex effects. The electrical transmission lines carry out a specific integrated environmental impact. It is created on the changes in the environment under the influence of magnetic and electric fields and the long-term consequences of their interaction with ecosystem components. This effect is negative for the most representatives of biota and for earthworms in particular. We observe how the number of species de- creases, the species diversity reduces and the morphological parameters change towards species with a shorter body length under reaching the electrical transmission lines. Some genera of the earthworms are able to survive under the effects of the modern electrical transmis- sion lines, although this reflects their abundance and morphological parameters. These species include Aporrectodea caliginosa and Aporrectodea trapezoides. They can be used as diagnostic genera of impact of the electrical transmission lines on biota. They can be genera indicators for the determination of the effect of the electrical transmission lines. The presence of Lumbricus terrestris shows the low electrical transmission line effects, and the presence of Aporrectodea roseа or Aporrectodea longа shows low or moderate effects. We can create bioindication models according to the relations between groups of species of dominant and subdominant specimens formed by the body size. Under the condition of creating a wide data-base and establishing the vitality parameters, it is possible to develop more advanced and efficient algorithms for the synbioindicator analysis of the impact of the electrical transmission lines on the environment.

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