Signal growth in a pure time-modulated transmission line and the loss effect
We present the first comprehensive study for signal growth in transmission lines (TL) with purely time-modulated characteristic impedance [Formula: see text] (infinite superluminality). This study pioneers the investigation into the effects of varying the cell’s electrical length and the impact of l...
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| Language: | English |
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The Royal Society
2024-11-01
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| Series: | Royal Society Open Science |
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| Online Access: | https://royalsocietypublishing.org/doi/10.1098/rsos.240569 |
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| author | Mohamed F. Hagag Thomas R. Jones Karim Seddik Dimitrios Peroulis |
| author_facet | Mohamed F. Hagag Thomas R. Jones Karim Seddik Dimitrios Peroulis |
| author_sort | Mohamed F. Hagag |
| collection | DOAJ |
| description | We present the first comprehensive study for signal growth in transmission lines (TL) with purely time-modulated characteristic impedance [Formula: see text] (infinite superluminality). This study pioneers the investigation into the effects of varying the cell’s electrical length and the impact of loss on momentum bandgaps and amplification levels. It also thoroughly examines how time-modulated transmission line truncation by a static load influences the sensitivity of amplification gain to the relative phase between the incoming signal and modulation, comparing these findings with the case of parametric amplification. Varying [Formula: see text] is accomplished by loading TLs with a sinusoidally time-modulated capacitor (TMC). The study starts with a simple lumped model cell to facilitate understanding of the phenomena. Following this, transmission lines are introduced, and the effects of incorporating loss are examined. To accomplish this, three models are investigated: a lossless L-C TL lumped model loaded with a shunt lossless TMC and a TL loaded with a shunt lossless and lossy TMC. Dispersion diagrams are plotted and momentum bandgaps are identified at a modulation frequency double the signal frequency. Within the momentum bandgap, only imaginary frequencies are found and correlated to momentum bandgap width and signal growth level. Signal growth is confirmed using harmonic balance and transient simulations, and the results are consistent with the dispersion diagram outcomes. |
| format | Article |
| id | doaj-art-c7b9c7a439fe4b0fafee3b124046e622 |
| institution | Kabale University |
| issn | 2054-5703 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | The Royal Society |
| record_format | Article |
| series | Royal Society Open Science |
| spelling | doaj-art-c7b9c7a439fe4b0fafee3b124046e6222024-11-13T06:00:14ZengThe Royal SocietyRoyal Society Open Science2054-57032024-11-01111110.1098/rsos.240569Signal growth in a pure time-modulated transmission line and the loss effectMohamed F. Hagag0Thomas R. Jones1Karim Seddik2Dimitrios Peroulis3Electronic Engineering Department, Military Technical College, Cairo 11766, EgyptElmore Family School of Electrical and Computer Engineering, Purdue University, West Lafayette, IN 47907, USAElectronics and Communications Engineering Department, American University in Cairo, Cairo 11835, EgyptElmore Family School of Electrical and Computer Engineering, Purdue University, West Lafayette, IN 47907, USAWe present the first comprehensive study for signal growth in transmission lines (TL) with purely time-modulated characteristic impedance [Formula: see text] (infinite superluminality). This study pioneers the investigation into the effects of varying the cell’s electrical length and the impact of loss on momentum bandgaps and amplification levels. It also thoroughly examines how time-modulated transmission line truncation by a static load influences the sensitivity of amplification gain to the relative phase between the incoming signal and modulation, comparing these findings with the case of parametric amplification. Varying [Formula: see text] is accomplished by loading TLs with a sinusoidally time-modulated capacitor (TMC). The study starts with a simple lumped model cell to facilitate understanding of the phenomena. Following this, transmission lines are introduced, and the effects of incorporating loss are examined. To accomplish this, three models are investigated: a lossless L-C TL lumped model loaded with a shunt lossless TMC and a TL loaded with a shunt lossless and lossy TMC. Dispersion diagrams are plotted and momentum bandgaps are identified at a modulation frequency double the signal frequency. Within the momentum bandgap, only imaginary frequencies are found and correlated to momentum bandgap width and signal growth level. Signal growth is confirmed using harmonic balance and transient simulations, and the results are consistent with the dispersion diagram outcomes.https://royalsocietypublishing.org/doi/10.1098/rsos.240569signal growthtime-modulationtransmission lineamplification |
| spellingShingle | Mohamed F. Hagag Thomas R. Jones Karim Seddik Dimitrios Peroulis Signal growth in a pure time-modulated transmission line and the loss effect Royal Society Open Science signal growth time-modulation transmission line amplification |
| title | Signal growth in a pure time-modulated transmission line and the loss effect |
| title_full | Signal growth in a pure time-modulated transmission line and the loss effect |
| title_fullStr | Signal growth in a pure time-modulated transmission line and the loss effect |
| title_full_unstemmed | Signal growth in a pure time-modulated transmission line and the loss effect |
| title_short | Signal growth in a pure time-modulated transmission line and the loss effect |
| title_sort | signal growth in a pure time modulated transmission line and the loss effect |
| topic | signal growth time-modulation transmission line amplification |
| url | https://royalsocietypublishing.org/doi/10.1098/rsos.240569 |
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