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Cavity perturbation theory information


In mathematics and electronics, cavity perturbation theory describes methods for derivation of perturbation formulae for performance changes of a cavity resonator.

These performance changes are assumed to be caused by either introduction of a small foreign object into the cavity, or a small deformation of its boundary. Various mathematical methods can be used to study the characteristics of cavities, which are important in the field of microwave systems, and more generally in the field of electro magnetism.

There are many industrial applications for cavity resonators, including microwave ovens, microwave communication systems, and remote imaging systems using electro magnetic waves. How a resonant cavity performs can affect the amount of energy that is required to make it resonate, or the relative stability or instability of the system.

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Cavity perturbation theory

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and electronics, cavity perturbation theory describes methods for derivation of perturbation formulae for performance changes of a cavity resonator. These...

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Julian Schwinger

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(QED), in particular for developing a relativistically invariant perturbation theory, and for renormalizing QED to one loop order. Schwinger was a physics...

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Quasinormal mode

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the local density of electromagnetic states, Purcell effect, cavity perturbation theory, strong interaction with quantum emitters, superradiance. In computational...

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Schumann resonances

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slightly owing to solar-induced perturbations to the ionosphere (which compress the upper wall of the closed cavity)[citation needed] amongst other factors...

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Dielectric resonator

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encapsulating the cavity can drastically impact the performance of the resonant circuit. This phenomenon can be explained using cavity perturbation theory. If a resonator...

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Hans Bethe

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problem by considering the work conducted by Keith Brueckner on perturbation theory. Working with Jeffrey Goldstone, he produced a solution for the case...

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Chaos theory

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different future paths or trajectories. Thus, an arbitrarily small change or perturbation of the current trajectory may lead to significantly different future...

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EmDrive

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electro-magnetic theory behind a microwave resonant cavity thruster. A demonstration version of the drive was built and tested with different cavity shapes and...

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Coupled mode theory

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Coupled mode theory (CMT) is a perturbational approach for analyzing the coupling of vibrational systems (mechanical, optical, electrical, etc.) in space...

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Speed of light

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wavelength of the modes was known from the geometry of the cavity and from electromagnetic theory, knowledge of the associated frequencies enabled a calculation...

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Atomic electron transition

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stimulated transition rate can be calculated using time-dependent perturbation theory; however, the result can be summarized using Fermi's golden rule:...

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Quantum electrodynamics

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revealed that such computations were reliable only at a first order of perturbation theory, a problem already pointed out by Robert Oppenheimer. At higher orders...

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Physics of whistles

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the cavity (the flow in the cavity being subsonic). Small symmetric disturbances in the jet stream are amplified as they proceed toward the cavity (similar...

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Ecological stability

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equilibrium) if it is capable of returning to its equilibrium state after a perturbation (a capacity known as resilience) or does not experience unexpected large...

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History of electromagnetic theory

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revealed that such computations were reliable only at a first order of perturbation theory, a problem already pointed out by Robert Oppenheimer. At higher orders...

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Quantum ergodicity

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former quantum interference is important. On the other hand, in the perturbation-induced quantum scarring, some of the high-energy eigenstates of a locally...

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Solvent model

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(HF), Post-HF and density functional theory (DFT)) the implicit solvent models represent the solvent as a perturbation to the solute Hamiltonian. In general...

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Photon

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photons, must obey Bose–Einstein statistics. Dirac's second-order perturbation theory can involve virtual photons, transient intermediate states of the...

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Superconducting radio frequency

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surface of the cavity, which would cause mechanical perturbations. An antenna is needed in the setup to couple RF power to the cavity fields and, in turn...

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Cavitation

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to the formation of small vapor-filled cavities in the liquid. When subjected to higher pressure, these cavities, called "bubbles" or "voids", collapse...

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Quantum scar

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has undergone its renaissance period, sparked by the discoveries of perturbation-induced scars and many-body scars (see below). The existence of scarred...

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Supercavitation

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167(2248), 26–30. Tulin, M. P. (1963). Supercavitating flows - small perturbation theory. Laurel, Md, Hydronautics Inc. Niam J W (Dec 2014), Numerical Simulation...

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Radiation pressure

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using these formulas. Solar radiation pressure is a source of orbital perturbations. It significantly affects the orbits and trajectories of small bodies...

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Soliton

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tip on a fixed region. The soliton propagation carries the mechanical perturbation with little loss in energy across the material, which enables domain...

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Gauge fixing

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not used in covariant perturbation theory, which has become standard for the treatment of relativistic quantum field theories such as quantum electrodynamics...

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