Characterization of Nonlinear Transmission Lines for Short Pulse Amplification

2011 International Conference on Multimedia Technology

2011

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Pulse propagation on nonlinear transmission lines (NLTLs), which are transmission lines with regularly spaced Schottky varactors, is experimentally investigated for the amplification of short pulses. We recently found that the soliton developed in an NLTL experiences an exponential amplitude growth, when it couples with an existing voltage edge. Using a test NLTL, we successfully demonstrate the pulse amplification through time-domain measurements. The voltage edge becomes steeper as it travels further, because the nonlinearity leads to the shock formation. This steep edge contributes to the pulse amplification even for the presence of the large parasitic resistance of inductors.

“…(4) and (5). See [6] for detailed procedures. Eventually, we obtain the following evolution equation of the pulse amplitude:…”

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

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Experimental characterization of nonlinear transmission lines for amplification of short pulses

Nakagawa

2011 International Conference on Multimedia Technology

2011

Self Cite

“…where f inc1 and f inc2 represent incident waveforms for lines 1 and 2, respectively (− is for f inc1 ) [19], and t inc1,2 tunes the temporal phase of incident pulses. For all following calculations, L 0 , C 0 , M, and V J are set to 10 μH, 87 pF, 0.3, and 1.0 V, respectively.…”

Section: Fundamental Properties Of Coupled Nltlsmentioning

confidence: 99%

Characterization of leapfrogging solitary waves in coupled nonlinear transmission lines

2015

Nonlinear Dyn

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Leapfrogging solitary waves are characterized in two capacitively coupled transmission lines that are periodically loaded with Schottky varactors, called coupled nonlinear transmission lines (NLTLs). The coupling implies that a nonlinear solitary wave moving on one of the lines is bounded with the wave moving on the other line, which results in the periodic amplitude/phase oscillation called leapfrogging. In this study, we clarify how the leapfrogging frequency depends on the physical parameters of coupled NLTLs using a numerical model validated through measuring test lines and demonstrate the relaxation of leapfrogging. In addition, coupled Korteweg-de Vries equations are derived by applying the reductive perturbation method to the transmission equations of coupled NLTLs. Using perturbation theory based on the inverse scattering transform, a closed-form expression of leapfrogging frequency is obtained and the parameter values that simulate the properties well are examined. Engineering applications based on leapfrogging are finally discussed.

“…Originally, NLTLs have been used in ultrafast electronic circuits such as a subpicosecond electrical shock generator and a short-pulse amplifier [8][9][10]. For example, the leapfrogging can be used for the detection of temporal separation between two short pulses inputted to coupled NLTLs.…”

Section: Introductionmentioning

confidence: 99%

Modulation of Pulse Train Using Leapfrogging Pulses Developed in Unbalanced Coupled Nonlinear Transmission Lines

Mathematical Problems in Engineering

2018

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The leapfrogging pulses in two unbalanced electrical nonlinear transmission lines (NLTLs) with capacitive couplings are investigated for efficient modulation of a pulse train. Due to the resonant interactions, the nonlinear solitary waves in the NLTLs exhibit complementary behaviors of amplitudes and phases called leapfrogging. For maximizing resonance, both solitary waves should have a common average velocity. Sharing the common velocity, the characteristic impedance can still be freely designed for two coupled solitary waves. In this study, we characterize the leapfrogging pulses developed in unbalanced NLTLs having distinct characteristic impedance. Through the soliton perturbation theory and numerical time-domain calculations, it is found that both the leapfrogging frequency and the voltage variations of pulse amplitudes increase as the difference in the characteristic impedance becomes large. These properties can improve the on/off ratio of modulated pulse train.