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Medium (optics)

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A medium is material through which waves propagate; electromagnetic waves in optics. The permittivity and permeability of the medium define how electromagnetic waves propagate in it. The medium has an intrinsic impedance, given by

:[\eta = \sqrt]
where [\mu] is the permeability of the medium and [\varepsilon] is the permittivity of the medium.

Waves propagate through a medium with velocity [c_w = \nu \lambda ], where [\nu] is the frequency and [\lambda] is the wavelength of the electromagnetic waves. This can also be put in the form

[ c_w = \ ,]
where [\omega] is the angular frequency of the wave and [k] is the wavenumber of the wave. In electrical engineering, the symbol [\beta], called the phase constant, is often used instead of [k].

The propagation velocity of electromagnetic waves in free space, i.e. the absence of a medium, is

[c_w = }\ ,]
where [\varepsilon_0] is the permittivity of free space
:[~ \mu_0 ~] is the permeability of free space.

See also

References

 


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