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  2. Snell's law - Wikipedia

    en.wikipedia.org/wiki/Snell's_law

    Snell's law (also known as the Snell–Descartes law, the ibn-Sahl law, [1] and the law of refraction) is a formula used to describe the relationship between the angles of incidence and refraction, when referring to light or other waves passing through a boundary between two different isotropic media, such as water, glass, or air.

  3. Calculus of variations - Wikipedia

    en.wikipedia.org/wiki/Calculus_of_Variations

    Download as PDF; Printable version; ... A simple example of such a problem is to find the curve of shortest length connecting two points. ... Snell's law for ...

  4. Snell's window - Wikipedia

    en.wikipedia.org/wiki/Snell's_window

    Snell's window (also called Snell's circle [1] or optical man-hole [2]) is a phenomenon by which an underwater viewer sees everything above the surface through a cone of light of width of about 96 degrees. [3] This phenomenon is caused by refraction of light entering water, and is governed by Snell's Law. [4]

  5. Seismic refraction - Wikipedia

    en.wikipedia.org/wiki/Seismic_refraction

    Seismic refraction is a geophysical principle governed by Snell's Law of refraction. The seismic refraction method utilizes the refraction of seismic waves by rock or soil layers to characterize the subsurface geologic conditions and geologic structure.

  6. Refraction - Wikipedia

    en.wikipedia.org/wiki/Refraction

    For light, refraction follows Snell's law, which states that, for a given pair of media, the ratio of the sines of the angle of incidence and angle of refraction is equal to the ratio of phase velocities in the two media, or equivalently, to the refractive indices of the two media: [2]

  7. Ibn Sahl (mathematician) - Wikipedia

    en.wikipedia.org/wiki/Ibn_Sahl_(mathematician)

    If the ratio of lengths / is kept equal to / then the rays satisfy the law of sines, or Snell's law. The inner hypotenuse of the right-angled triangle shows the path of an incident ray and the outer hypotenuse shows an extension of the path of the refracted ray if the incident ray met a change of medium whose face is vertical at the point where ...

  8. Fresnel equations - Wikipedia

    en.wikipedia.org/wiki/Fresnel_equations

    For equal permeabilities (e.g., non-magnetic media), if θ i and θ t are complementary, we can substitute sin θ t for cos θ i, and sin θ i for cos θ t, so that the numerator in equation becomes n 2 ‍ sin θ t − n 1 ‍ sin θ i, which is zero (by Snell's law).

  9. Numerical aperture - Wikipedia

    en.wikipedia.org/wiki/Numerical_aperture

    Due to Snell's law, the numerical aperture remains the same: NA = n 1 sin θ 1 = n 2 sin θ 2. In optics, the numerical aperture (NA) of an optical system is a dimensionless number that characterizes the range of angles over which the system can accept or emit light.