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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.
In physics, refraction is the redirection of a wave as it passes from one medium to another. The redirection can be caused by the wave's change in speed or by a change in the medium. [1] Refraction of light is the most commonly observed phenomenon, but other waves such as sound waves and water waves also experience refraction. How much a wave ...
The simplest case of refraction occurs when there is an interface between a uniform medium with index of refraction n 1 and another medium with index of refraction n 2. In such situations, Snell's Law describes the resulting deflection of the light ray:
Ibn Sahl also describes a law of refraction mathematically equivalent to Snell's law. [13] He used his law of refraction to compute the shapes of lenses and mirrors that focus light at a single point on the axis. Alhazen (Ibn al-Haytham), "the father of Optics" [14]
In optics, the refractive index (or refraction index) of an optical medium is the ratio of the apparent speed of light in the air or vacuum to the speed in the medium. The refractive index determines how much the path of light is bent, or refracted , when entering a material.
Let the angle of refraction, measured in the same sense, be θ t, where the subscript t stands for transmitted (reserving r for reflected). In the absence of Doppler shifts, ω does not change on reflection or refraction. Hence, by , the magnitude of the wave vector is proportional to the refractive index.
The angle between this ray and the normal is known as the angle of refraction, and it is given by Snell's law. Conservation of energy requires that the power in the incident ray must equal the sum of the power in the refracted ray, the power in the reflected ray, and any power absorbed at the surface.
Due to refraction, the straw dipped in water appears bent and the ruler scale compressed when viewed from a shallow angle. Refraction is the bending of light rays when passing through a surface between one transparent material and another. It is described by Snell's Law: