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Theory of Nonlinear Lumped Element Transmission Lines
Samizadeh Nikooytabalvandani, Mohammad | 2017
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- Type of Document: M.Sc. Thesis
- Language: Farsi
- Document No: 49915 (05)
- University: Sharif University of Technology
- Department: Electrical Engineering
- Advisor(s): Farzaneh, Forouhar; Hashemi, Morad Ali
- Abstract:
- With the rapid advances in microwave semiconductor devices and systems, the demand for implementation of nonlinear transmission lines (NLTLs) is rapidly increased. NLTLs support short pulses and wide band-widths. These networks provide cutoff frequencies over hundreds of GHz and picosecond rise times. Among all of the applications of NLTLs, the most attention has been paid to their application in the generation of high power RF pulses. In this application, a high power rectangular pulse is injected to the line, gradually evolved to an oscillatory pulse while propagating through the network, and finally, in the form of a high power RF pulse, is delivered to the load. NLTLs are the most powerful RF pulse generators based on the solid-state technology.Despite the wide attention paid to the NLTLs for implementation of practical systems, the theory of these networks was somehow inadequate at the beginning of this research work. In this research, an integrated theory is proposed which formulates all the main aspects of NLTLs. Propagation of solitons through NLTLs is analyzed and describe by a closed-form relation. A new formula for the characteristic impedance of NLTLs is also presented. It is shown that these new results are more accurate compared to the existing relations in the literature. The reflection coefficient and the optimal load of NLTLs are formulated for the first time. Furthermore, in the field of RF applications, all of the characteristics of the propagating RF pulses along the NLTLs and the pulses delivered to the loads, such as the central frequency, RF amplitude and the number of the oscillations, are formulated.The theory presented in this thesis is applicable in various applications of NLTLs like those in oscillators, pulse compressors, ultra-short pulse generators, modulators and high power RF pulse generators. Two discrete NLTLs were implemented on printed circuit boards. All of the extracted formulas in this thesis were verified by SPICE simulations and measurements. Finally, based on the developed theory, an analytical procedure for designing NLTLs is proposed
- Keywords:
- Nonlinear Transmission Line ; Wave Propagation ; Radio Waves Propagation ; Characteristic Impedance ; High Power Radio Frequency Pulse Generation ; Optimal Load
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