期刊
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES
卷 64, 期 11, 页码 3449-3459出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TMTT.2016.2604319
关键词
Active circuits; capacitors; dielectric constant; eigenvalues and eigenfunctions; low-pass filters; microwave circuits; microwave propagation; phase measurement; propagation; RLC circuits; transmission line measurements; varactors; waves
资金
- CONACYT [103644-F, 317142]
We present a novel concept of a modulated transmission line: a low-pass dynamic transmission line (DTL) whose capacitors are replaced by varactors that are externally modulated in tandem. The modulation voltages are periodic in time and identical in all the unit cells (and there is no pump wave). Accurate modeling leads to two bands, beta(1)(omega) and beta(2)(omega) for the propagation constant, separated by a gap Delta beta. We have fabricated an eight-cell DTL and measured beta(1,2)(omega) for a range of frequencies of the signal wave up to the modulation frequency f(M) = 310 MHz, finding very good agreement between the experimental and theoretical results. These are also compared with an effective medium description, with the dynamic permittivity epsilon(t) being equal to the distributed capacitance C(t)/a at every instant t and the permeability mu equal to the distributed inductance L/a, where a is the size of the unit cell. There is good agreement for long wavelengths, beta a less than or similar to 1, including the beta-gap, which, for negligible resistive effects, is proportional to the modulation strength. Such gaps are characteristic of periodicity in time of a parameter and were predicted for temporal photonic crystals. We have also confirmed experimentally that for every frequency f, a harmonic of frequency f(M) - f is excited, giving rise to beats when f congruent to f(M)/2. We expect these experimental and theoretical results to open a new platform for useful applications.
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