Waves & Opticshigh schoolundergraduate

Huygens' Principle

Also known as: Huygens-Fresnel Principle · Wavelet Construction

Every point a wave reaches becomes the launch point of a new little wave. Add all those wavelets up and their leading edge is where the wave goes next. Where speed changes, the wavelets shrink and the front tilts — that bend is refraction.

v=rtr=vtv = \frac{r}{t} \quad\Rightarrow\quad r = v\,t
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A straight wavefront advances; each point spawns an expanding circular wavelet, and their common envelope forms the next wavefront.

Equivalent forms

rwavelet=vΔtr_{wavelet} = v\,\Delta t
sinθ1sinθ2=v1v2\frac{\sin\theta_1}{\sin\theta_2} = \frac{v_1}{v_2}
One geometric rule — each point is a new source — quietly contains reflection, refraction, and diffraction all at once.