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So, resonance is created in sound waves when a body is made to vibrate by an external force at its natural frequency, the result is a build-up amplitude and higher intensity of sound. Similarly can we create resonance in electromagnetic waves, to build up their intensity by applying external force.

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    $\begingroup$ Like a laser cavity? $\endgroup$ – Jon Custer Aug 31 '17 at 16:48
  • $\begingroup$ @JonCuster I am completely unaware of this term? $\endgroup$ – Ajinkya Naik Aug 31 '17 at 16:48
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    $\begingroup$ You can also look up terms like "optical cavity", "optical resonator", "dielectric resonator", "Fabry-Perot", ... $\endgroup$ – Steve Byrnes Aug 31 '17 at 16:55
  • $\begingroup$ see hyperphysics.phy-astr.gsu.edu/hbase/optmod/lascon.html $\endgroup$ – anna v Aug 31 '17 at 17:00
  • $\begingroup$ Look up 'cavity magnetron'. $\endgroup$ – tfb Aug 31 '17 at 22:16
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Electromagnetic waves can be brought to resonate in a cavity (in both optical and Microwave/RF regimes) much in the same way sound waves resonate in an acoustic cavity. Subject to boundary conditions the wave (electromagnetic) has to end at the cavity wall and hence the cavity can only support integer number wavelengths of the frequency at which the EM wave oscillates. For example, a 1 dimensional cavity supports a mode described by the following expression: $$E(x) = E_0 sin(\frac{n \pi x}{L})$$

Image source: http://pcwww.liv.ac.uk/~awolski/Teaching/Liverpool/PHYS370/AdvancedElectromagnetism-Part5.pdf

Image source: http://pcwww.liv.ac.uk/~awolski/Teaching/Liverpool/PHYS370/AdvancedElectromagnetism-Part5.pdf

You can see that only a half integer number of wavelengths fit in between the cavity walls in much the same way an acoustic cavity would have the wave terminate on either side if it were completely closed on both ends. The EM wave can be externally driven in a multitude of ways but if the cavity is lossless then the wave will oscillate to infinity without needing an external driving force. This is of course the same in acoustics. By continuously driving the system by say an external source at the resonant frequency the amplitudes of the cavity wave and the driving wave will add constructively and result in an increase in intensity withing the cavity walls.

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  • $\begingroup$ great!! so I can relate the cavity for sound waves like that of a guitar, in which a string is plucked and the vibrations are set through the cavity into the air box and resonance is created...thanks for the answer!! $\endgroup$ – Ajinkya Naik Sep 1 '17 at 9:24
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Plasma supports a rich variety of both electrostatic and electromagnetic resonances. There is a nice, succinct Wikipedia page listing the ones most commonly encountered in the field. Resonances in plasma occur not only due to applied electromagnetic fields, but also from fields produced by the charges making up the plasma itself. The possibility for feedback between the plasma and external fields means certain resonant modes in plasma are unstable, meaning that the amplitude of the wave grows in time. The is an electromagnetic analogue to shattering solid materials acoustically.

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