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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. 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]

  4. Geometrical optics - Wikipedia

    en.wikipedia.org/wiki/Geometrical_optics

    The image size is the same as the object size. (The magnification of a flat mirror is equal to one.) The law also implies that mirror images are parity inverted, which is perceived as a left-right inversion. Mirrors with curved surfaces can be modeled by ray tracing and using the law of

  5. Calculus of variations - Wikipedia

    en.wikipedia.org/wiki/Calculus_of_Variations

    A simple example of such a problem is to find the curve of shortest length connecting two points. If there are no constraints, the solution is a straight line between the points. However, if the curve is constrained to lie on a surface in space, then the solution is less obvious, and possibly many solutions may exist.

  6. Snellius–Pothenot problem - Wikipedia

    en.wikipedia.org/wiki/Snellius–Pothenot_problem

    In trigonometry, the Snellius–Pothenot problem is a problem first described in the context of planar surveying.Given three known points A, B, C, an observer at an unknown point P observes that the line segment AC subtends an angle α and the segment CB subtends an angle β; the problem is to determine the position of the point P.

  7. 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.

  8. File:Snells law Diagram B vector.svg - Wikipedia

    en.wikipedia.org/wiki/File:Snells_law_Diagram_B...

    Original file (SVG file, nominally 252 × 166 pixels, file size: 26 KB) This is a file from the Wikimedia Commons. ... The following page uses this file: Snell's law;

  9. Fermat's principle - Wikipedia

    en.wikipedia.org/wiki/Fermat's_principle

    If we seek the required value of x, we find that the angles α and β satisfy Snell's law. Fermat's principle, also known as the principle of least time, is the link between ray optics and wave optics. Fermat's principle states that the path taken by a ray between two given points is the path that can be traveled in the least time.