Systems with one degree of freedom, such as a mass on a spring, pendulums, balance wheels, and LC tuned circuits have one resonant frequency.The material of the resonator, through which the waves flow, can be viewed as being made of millions of coupled moving parts (such as atoms).An electrical circuit composed of discrete components can act as a resonator when both an inductor and capacitor are included.A distributed-parameter resonator has capacitance, inductance, and resistance that cannot be isolated into separate lumped capacitors, inductors, or resistors.The magnetic field causes the electrons, attracted to the (relatively) positive outer part of the chamber, to spiral outward in a circular path rather than moving directly to this anode.A portion of this field is extracted with a short antenna that is connected to a waveguide (a metal tube usually of rectangular cross section).The waveguide directs the extracted RF energy to the load, which may be a cooking chamber in a microwave oven or a high gain antenna in the case of radar.The beam of charged particles passes through the apertures of the resonators, often tunable wave reflection grids, in succession.On the beamline of an accelerator system, there are specific sections that are cavity resonators for radio frequency (RF) radiation.The loop-gap resonator (LGR) is made by cutting a narrow slit along the length of a conducting tube.One key advantage of the LGR is that, at its resonant frequency, its dimensions are small compared to the free-space wavelength of the electromagnetic fields.Abrupt change of impedance (e.g. open or short) in a transmission line causes reflection of the transmitted signal.Planar transmission-line resonators are commonly employed for coplanar, stripline, and microstrip transmission lines.The high dimensional stability and low temperature coefficient of quartz helps keeps resonant frequency constant.In addition, the quartz's piezoelectric property converts the mechanical vibrations into an oscillating voltage, which is picked up by the attached electrodes.For example, a multiple degree of freedom system can be created by imposing a base excitation on a cantilever beam.Organ pipes, the bodies of woodwinds, and the sound boxes of stringed instruments are examples of acoustic cavity resonators.[7] The "exhaust note" is an important feature for some vehicle owners, so both the original manufacturers and the after-market suppliers use the resonator to enhance the sound.This resonance effect is caused by a feedback loop and is applied to drive the fundamental tones, octaves, 5th, 3rd to an infinite sustain.
An illustration of the electric and magnetic field of one of the possible modes in a cavity resonator.
RF cavities in the
linac
of the
Australian Synchrotron
are used to accelerate and bunch beams of
electrons
; the linac is the tube passing through the middle of the cavity.
A sport motorcycle, equipped with exhaust resonator, designed for performance