Can anyone explain Fresnels equations to me ?

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Fresnel's equations describe how a wave behaves at the boundary between two materials with different refractive indices, detailing the relationship between reflected and transmitted amplitudes. Specifically, they provide the ratios of reflected amplitude (Ar) and transmitted amplitude (At) to incoming amplitude (Ai) for both polarizations of light. The equations reveal important phenomena such as the Brewster angle, where reflected light is fully polarized. For further information, a Wikipedia page on Fresnel's equations is recommended. Understanding these concepts is crucial for optics studies.
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can anyone explain Fresnels equations to me ??

Hi members

I am undergraduate student , this term I study optics course

but there are some things I don't understand it as Fresnels equations !

can anyone explain Fresnels equations to me in details ??

or give me link take about Fresnels equations.

thanks a lot in advance
 
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When a wave hits a boundary between two materials with (in the optics case) different refraction indices, part of the wave will be reflected and part of it transmitted. Fresnels equations describe the relationship between transmitted and reflected amplitude relative to the incoming amplitude of a wave. If the incoming amplitude is Ai, the transmitted At and the reflected amplitude Ar, we have that Fresnels equations give the ratios r=Ar/Ai and t=At/Ai, with one r and t for each polarisation of the wave (parallell or perpendicular to the plane of incidence).

If you graph the coefficents r and t you can for example see the Brewster angle, where all reflected light is polarised perpendicular to the plane of incidence.

Wikipedia has a relatively good page on the Fresnel equations: http://en.wikipedia.org/wiki/Fresnel_equations"
 
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