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When light is reflected from objects with a well defined colour, we perceive the reflected light as this colour because it reflects this colour. But the truth is that other wavelengths are also reflected, but less of it. The absorption of light is typically $\alpha < 1$ but still $\alpha_{yellow} \gg \alpha_{green}$ for example. Our eyes perceive the ...

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Quite simple approach is the scattering model, which considers reflected and transmitted wave as a scattering pattern by the dipoles induced in the second medium. This model is originally due to Sagnac, but it has been included in a number of textbooks. A good resource for this model is a paper Doyle, W. T. (1985). Scattering approach to Fresnel’s equations ...

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Your description of rotating by 90 degrees doesn't make any sense. You show an image from one plaque "5th place" then talk about rotating 90 degrees and show an image from another plaque "4th place". It's not clear if this is meant to show the "90 degrees rotated" behavior or just that you see similar behavior for different plaques. In any case what you are ...

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The laser projects onto the plaque which causes a reflection onto the roof. On the vertical plane, the laser projects directly into a slit which causes diffraction of the light. This is why the second picture looks like a "stick" of light. But on the horizontal plane, think backwards. The projection onto the roof comes from the laser hitting it at an ...

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An argument explaining why vanishing boundary conditions give rise to the total reflection of the wavepacket from the boundaries is as follows. This argument is actually used to prove the existence of the solution under Dirichlet boundary conditions. First consider the solution of $\square \phi(x,t)=0$ on the spatial segment $[-L,L]$ with periodic ...

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