The coupling between the spatial electromagnetic wave and transmission line on PCB

2003 ◽  
Author(s):  
Li Zhi ◽  
Wang Qiang ◽  
Shi Changsheng
Keyword(s):  
Electromagnetic Wave ◽  
Transmission Line

scholarly journals Analogue Hawking Radiation in Nonlinear LC Transmission Lines

Universe ◽  
2021 ◽  
Vol 7 (9) ◽  
pp. 334
Author(s):  
Haruna Katayama ◽  
Noriyuki Hatakenaka ◽  
Ken-ichi Matsuda
Keyword(s):  
Black Holes ◽  
Electromagnetic Wave ◽  
Transmission Line ◽  
Transmission Lines ◽  
Hawking Radiation ◽  
Reductive Perturbation Method ◽  
Electrical Transmission ◽  
Third Order ◽  
Nonlinear Transmission Lines ◽  
Electrical Transmission Line

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.

Transmission Line Modelling of Shaft System Dynamics

1987 ◽  
Vol 201 (4) ◽  
pp. 271-278 ◽  
Author(s):  
G J Partridge ◽  
C Christopoulos ◽  
P B Johns
Keyword(s):  
Electromagnetic Wave ◽  
System Dynamics ◽  
Transmission Line ◽  
Digital Computer ◽  
Mechanical Systems ◽  
Discrete Models ◽  
Dynamic Mechanical ◽  
Shaft System ◽  
Linear Friction ◽  
Wave Problems

The transmission line modelling (t.l.m.) method is well established as a numerical routine for the solution of electromagnetic wave problems and electrical lumped networks. In this paper the method is adapted for the solution of dynamic mechanical systems. The method provides discrete models suitable for manipulation by digital computer and straightforward modelling of non-linearities. A complete modelling example of a bearing with non-linear friction characteristics is presented.

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