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Parametric amplifications in the nonlinear transmission line

Journal Article:

Abstract

The parametric amplification in a transmission line with nonlinear capacitors is analysed theoretically using the equations of three wave interactions. Since this line has two modes, high frequency and low frequency modes, there may occur some mode coupling phenomena through the resonant interactions. We consider three waves with wave number k sub(j) and frequency ..omega..sub(j) in resonance with each other, that is, ..omega../sub 1/ + ..omega../sub 2/ = ..omega../sub 3/ and k/sub 1/ + k/sub 2/ = k/sub 3/, where 0 <= ..omega../sub 1/ <= ..omega../sub 2/ <= ..omega../sub 3/ and k/sub 3/ >= 0. Such conditions are realized in our network and there exist two states: ''forward state'' (each group velocity is positive) and ''backward state'' (one of the group velocities is negative). The coupled equations of three waves has two constant pumps: high frequency (HF) pump and low frequency (LF) pump. Using linear approximations, we examine the possible types of parametric amplification and obtain the power gains depending on the frequency deviation. For only the case of HF pump we get the gain between signals with seme frequency and also get the gain from the low frequency signal to the high frequency signal (''up-conversion'') for the LF pump.  More>>
Authors:
Kawata, T; Sakai, J; Inoue, H [1] 
  1. Toyama Univ., Takaoka (Japan). Faculty of Engineering
Publication Date:
Mar 01, 1980
Product Type:
Journal Article
Reference Number:
AIX-13-657951; EDB-82-070628
Resource Relation:
Journal Name: Toyama Daigaku Kogakubu Kiyo; (Japan); Journal Volume: 31
Subject:
24 POWER TRANSMISSION AND DISTRIBUTION; PARAMETRIC AMPLIFIERS; NONLINEAR PROBLEMS; POWER TRANSMISSION LINES; ANALYTICAL SOLUTION; BOUNDARY CONDITIONS; CAPACITORS; COUPLING; FREQUENCY DEPENDENCE; GAIN; OPTICAL PUMPING; OSCILLATIONS; PARAMETRIC INSTABILITIES; RESONANCE; WAVE FORMS; AMPLIFICATION; AMPLIFIERS; ELECTRICAL EQUIPMENT; ELECTRONIC EQUIPMENT; EQUIPMENT; INSTABILITY; PLASMA INSTABILITY; PLASMA MACROINSTABILITIES; PUMPING; 200301* - Power Transmission & Distribution- AC Systems, EHV & UHV- (-1989)
OSTI ID:
5746424
Country of Origin:
Japan
Language:
English
Other Identifying Numbers:
Journal ID: CODEN: BETUA
Submitting Site:
INIS
Size:
Pages: 111-128
Announcement Date:
Mar 01, 1982

Journal Article:

Citation Formats

Kawata, T, Sakai, J, and Inoue, H. Parametric amplifications in the nonlinear transmission line. Japan: N. p., 1980. Web.
Kawata, T, Sakai, J, & Inoue, H. Parametric amplifications in the nonlinear transmission line. Japan.
Kawata, T, Sakai, J, and Inoue, H. 1980. "Parametric amplifications in the nonlinear transmission line." Japan.
@misc{etde_5746424,
title = {Parametric amplifications in the nonlinear transmission line}
author = {Kawata, T, Sakai, J, and Inoue, H}
abstractNote = {The parametric amplification in a transmission line with nonlinear capacitors is analysed theoretically using the equations of three wave interactions. Since this line has two modes, high frequency and low frequency modes, there may occur some mode coupling phenomena through the resonant interactions. We consider three waves with wave number k sub(j) and frequency ..omega..sub(j) in resonance with each other, that is, ..omega../sub 1/ + ..omega../sub 2/ = ..omega../sub 3/ and k/sub 1/ + k/sub 2/ = k/sub 3/, where 0 <= ..omega../sub 1/ <= ..omega../sub 2/ <= ..omega../sub 3/ and k/sub 3/ >= 0. Such conditions are realized in our network and there exist two states: ''forward state'' (each group velocity is positive) and ''backward state'' (one of the group velocities is negative). The coupled equations of three waves has two constant pumps: high frequency (HF) pump and low frequency (LF) pump. Using linear approximations, we examine the possible types of parametric amplification and obtain the power gains depending on the frequency deviation. For only the case of HF pump we get the gain between signals with seme frequency and also get the gain from the low frequency signal to the high frequency signal (''up-conversion'') for the LF pump. The nonlinear analysis gives the exact relation between input and output signals. For the forward state the gain is absolutely suppressed by the ratio of pumping power to input power, while the gain of backward state has no finite maximum and there may appear an ''oscillating state'' if the pumping power is comparatively small.}
journal = {Toyama Daigaku Kogakubu Kiyo; (Japan)}
volume = {31}
journal type = {AC}
place = {Japan}
year = {1980}
month = {Mar}
}