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  2. Snell's law - Wikipedia

    en.wikipedia.org/wiki/Snell's_law

    The largest possible angle of incidence which still results in a refracted ray is called the critical angle; in this case the refracted ray travels along the boundary between the two media. Refraction of light at the interface between two media. For example, consider a ray of light moving from water to air with an angle of incidence of 50°.

  3. Total internal reflection - Wikipedia

    en.wikipedia.org/wiki/Total_internal_reflection

    On the angle-of-incidence scale (horizontal axis), Brewster's angle is where δ p (red) falls from 180° to 0°, and the critical angle is where both δ p and δ s (red and blue) start to rise again. To the left of the critical angle is the region of partial reflection, where both reflection coefficients are real (phase 0° or 180°) with ...

  4. Contact angle - Wikipedia

    en.wikipedia.org/wiki/Contact_angle

    Cloth, treated to be hydrophobic, shows a high contact angle. The theoretical description of contact angle arises from the consideration of a thermodynamic equilibrium between the three phases: the liquid phase (L), the solid phase (S), and the gas or vapor phase (G) (which could be a mixture of ambient atmosphere and an equilibrium concentration of the liquid vapor).

  5. Numerical aperture - Wikipedia

    en.wikipedia.org/wiki/Numerical_aperture

    Note that when this definition is used, the connection between the numerical aperture and the acceptance angle of the fiber becomes only an approximation. In particular, "NA" defined this way is not relevant for single-mode fiber. [7] [8] One cannot define an acceptance angle for single-mode fiber based on the indices of refraction alone.

  6. Refractive index - Wikipedia

    en.wikipedia.org/wiki/Refractive_index

    The reflection angle is equal to the incidence angle, and the amount of light that is reflected is determined by the reflectivity of the surface. The reflectivity can be calculated from the refractive index and the incidence angle with the Fresnel equations, which for normal incidence reduces to [42]: 44

  7. Critical angle - Wikipedia

    en.wikipedia.org/wiki/Critical_angle

    Critical angle may refer to: Critical angle (optics), the angle of incidence above which total internal reflection occurs; Critical angle of attack, in aerodynamics; the angle of attack which produces the maximum lift coefficient; Critical angle of repose, in engineering; the steepest angle of descent of a slope when the material is on the ...

  8. Fresnel equations - Wikipedia

    en.wikipedia.org/wiki/Fresnel_equations

    The equations consider a plane wave incident on a plane interface at angle of incidence, a wave reflected at angle =, and a wave transmitted at angle . In the case of an interface into an absorbing material (where n is complex) or total internal reflection, the angle of transmission does not generally evaluate to a real number.

  9. X-ray reflectivity - Wikipedia

    en.wikipedia.org/wiki/X-ray_reflectivity

    Here ′ = is the wavevector inside the material, = ⁡ / and the critical angle /, with the Thomson scattering length. Below the critical angle Q < Q c {\displaystyle Q<Q_{c}} (derived from Snell's law ), 100% of incident radiation is reflected through total external reflection , R = 1 {\displaystyle R=1} .