We review the theory, fabrication, and implementation of the Josephson bifurcation amplifier (JBA). At the core of the JBA is a nonlinear oscillator based on a reactively shunted Josephson junction. A weak input signal to the amplifier couples to the junction critical current I(0) and results in a dispersive shift in the resonator plasma frequency omega(p). This shift is enhanced by biasing the...

Frequency shifting in free-electron laser (FEL) oscillators and amplifiers is investigated theoretically and numerically. The analysis includes frequency shifts from the resonant FEL interaction and the nonresonant beam dielectric. Expressions for the frequency shift in a microwave amplifier with time-dependent beam energy and current are derived and found to be in good agreement with experimen...

The harmonic oscillator in anti de Sitter space(AdS) is discussed. We consider the harmonic oscillator potential and then time independent Schrodinger equation in AdS space. Then we apply the supersymmetric Quantum Mechanics approach to solve our differential equation. In this paper we have solved Schrodinger equation for harmonic oscillator in AdS spacetime by supersymmetry approach. The shape...

The azimuthally invariant cold-fluid equilibrium is obtained for a periodic, strongly bunched charged annular beam with an arbitrary radial density profile inside of a perfectly conducting cylinder and an externally applied uniform magnetic field. The selfelectric and self-magnetic fields, which are utilized in the equilibrium solution, are computed self-consistently using an electrostatic Gree...

The design and operation of a self-oscillating evanescent microwave probe (SO-EMP) for very high spatial resolution imaging of material nonuniformities are discussed. Composed of a microstripline resonator in a feedback loop across a 10-dB amplifier with 2.5-GHz bandwidth centered at 1.75 GHz, these oscillator probes are very compact and suitable for high-resolution imaging of materials. A wire...

Signal generation is one of the most critical problems in the microwave and millimeter-wave communication market. The demands of greater stability and low phase noise further increase complexity in the circuit design. Signal generation in the millimeter-wave bands can be realized either directly by an oscillator or by multiplication from a lower frequency. An effective solution is to multiply t...

Superconducting oscillators have been successfully used for quantum control and readout devices in conjunction with superconducting qubits. Also, squeezed states can improve the accuracy of measurements to subquantum, or at least subthermal, levels. Here, we show theoretically how to produce squeezed states of microwave radiation in a superconducting oscillator with tunable parameters. Its reso...

The problem of multiphoton processes for intense, long-wavelength irradiation of atomic and molecular electrons is presented. The recently developed method of quasiadiabatic time evolution is used to obtain a nonperturbative analysis. When applied to the standard vector potential coupling, an exact auxiliary equation is obtained that is in the electric dipole coupling form. This is achieved thr...

A 3.1 nJ/bit pulsed millimeter-wave transmitter, 300μm by 300μm by 250μm in size, designed in 32-nm SOI CMOS, operates on an electric potential of 130mV and 3.1nW of dc power. These achieved power levels and potentials are comparable to those present across cellular and intracellular membranes. Far-field data transmission at 33 GHz is achieved by supply-switching an LC-oscillator with a duty cy...