Generalized nonlinear harmonic gyrotron theory

Nonlinear oscillator with discontinuity by generalized harmonic balance method

A generalized harmonic balance method is used to calculate the periodic solutions of a nonlinear oscillator with discontinuities for which the elastic force term is proportional to sgn(x). This method is a modification of the generalized harmonic balance method in which analytical approximate solutions have rational form. This approach gives us not only a truly periodic solution but also the fr...

Generalized gyrotron theory with inclusion of adiabatic electron trapping in the presence of a depressed collector

The effect of electrostatic electron trapping in the presence of a depressed collector has been included in gyrotron efficiency computations. The results are presented as general contour plots in the control parameter plane. A condition for trapping is derived in terms of the retarding voltage. The overall electron efficiency as a function of the retarding voltage has been calculated for a repr...

Near-THz Gyrotron: Theory, Design, and Applications

Introduction The proposed topic for my doctorate research is the study of theory of gyrotron devices related to sub-terahertz gyrotron program sponsored to detect radioactive sources through RF air breakdown.

Multi-megawatt Relativistic Harmonic Gyrotron Traveling-Wave Tube Amplifier Experiments

Nonlinear Mie theory for second-harmonic and sum-frequency scattering

We present a theory for second-order nonlinear light scattering from spherical particles using source waves of arbitrary frequency and direction based on a combination of linear Mie scattering and reciprocity theory. The theory presented in this work extends existing theory applied to second-harmonic scattering by allowing noncollinear excitation waves of unequal frequency. The absence of an in...