WASSCE / IGCSE / A-Level Physics: The Wave Equation — v = f × λ, Rearranged
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We use the scalar wave equation to simulate diffraction through a two narrow slits of an incoming plane wave. Each slit generates its own interference pattern that also interferes with each other, generating a complext structure between them. We also see up to 6 white lines of ɸ=0, where we have maximum destructive interference at larger distances. The domain is periodic with size 2x1.4 but cropped to 1x1 to prevent the re-entry of waves. The wavelength is chosen to be λ=0.05, the slit width d=0
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We use the scalar wave equation to simulate refraction of a light ray passing from air (where c=1) to glass (where c=1/n~0.66). Part of the ray is reflected with the same angle θ while the rest is transmitted at a different angle 𝜑, following Snell's law sin(θ)=n*sin(𝜑) where are the angles are taken with respect to the normal direction. In this particular simulation, the normal direction coincides with the horizontal and the incident/reflected angle is θ=45°, yielding a transmitted angle of �
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