index of refraction

(noun)

For a material, the ratio of the speed of light in vacuum to that in the material.

Related Terms

Examples of index of refraction in the following topics:

  • Dispersion: Rainbows and Prisims

    • The angle of refraction depends on the index of refraction, as we saw in the Law of Refraction.
    • We know that the index of refraction n depends on the medium.
    • Since the index of refraction of water varies with wavelength, the light is dispersed, and a rainbow is observed.
    • Since the index of refraction varies with wavelength, the angles of refraction vary with wavelength.
    • A sequence of red to violet is produced, because the index of refraction increases steadily with decreasing wavelength.

  • Dispersion of the Visible Spectrum

    • The index of refraction is different for every medium that light travels through, as we learned in previous atoms.
    • When a light ray enters a medium with a different index of refraction, the light is dispersed, as shown in with a prism.
    • Since the index of refraction varies with wavelength, the light refracts at different angles as it exits, causing the exiting light rays to appear as a rainbow, or as a sequence of decreasing wavelengths, from red to violet.
    • Since the index of refraction varies with wavelength, the angles of refraction vary with wavelength.
    • A sequence of red to violet is produced, because the index of refraction increases steadily with decreasing wavelength.

  • Polarization By Scattering and Reflecting

    • First, lets remember the index of refraction of air and water:nair - 1.00nwater- 1.33 Now, we can apply Brewster's Equation and solve for θb: $tan heta_b= rac{n_water}{n_air}\tan heta_b= rac{1.33}{1.00}\tan heta_b=1.33\ heta_b=tan^{-1}1.33\ heta b=53.1^{ rc}$
    • When light hits a reflective surface, the vertically polarized aspects of that light are refracted at that surface.
    • Since the light is split into two, and part of it is refracted, the amount of polarization to the reflected light depends on the index of refraction of the reflective surface.
    • where: θb = angle of reflection of complete polarization (also known as Brewster's angle); n1 = index of refraction of medium in which reflected light will travel; and n2 = index of refraction of medium by which light is reflected.
    • Calculate angle of reflection of complete polarization from indices of refraction

  • The Law of Refraction: Snell's Law and the Index of Refraction

    • The change in the speed of light is related to the indices of refraction of the media involved.
    • In mediums that have a greater index of refraction the speed of light is less.
    • Snell's experiments showed that the law of refraction was obeyed and that a characteristic index of refraction n could be assigned to a given medium.
    • This video introduces refraction with Snell's Law and the index of refraction.The second video discusses total internal reflection (TIR) in detail. http://www.youtube.com/watch?
    • Formulate the relationship between the index of refraction and the speed of light

  • Aberrations

    • This happens because lenses have a different index of refraction for different wavelengths of light.
    • The refractive index decreases with increasing wavelength.
    • Since the index of refraction of lenses depends on color or wavelength, images are produced at different places and with different magnifications for different colors. shows chromatic aberration for a single convex lens.
    • Since violet rays have a higher refractive index than red, they are bent more and focused closed to the lens. shows a two-lens system using a diverging lens to partially correct for this, but it is nearly impossible to do so completely.
    • Different parts of a lens of a mirror do not refract or reflect the image to the same point, as shown in .

  • The Speed of Light

    • The speed at which light propagates through transparent materials (air, glass, etc.,) is dependent on the refractive index of that material, n:
    • where v = actual velocity of light moving through the medium, c = speed of light in a vacuum, and n = refractive index of medium.
    • The refractive index of air is about 1.0003, and from this equation we can find that the speed of visible light in air is about 90 km/s slower than c.
    • Below is an example of an application of the constant c.
    • Relate speed of light with the index of refraction of the medium

  • Refraction Through Lenses

    • Because the index of refraction of a lens is greater than air, a ray moves towards the perpendicular as it enters and away as it leaves.
    • Since the index of refraction of the lens is greater than that of air, the ray moves towards the perpendicular as it enters, and away from the perpendicular as it leaves (this is in accordance with the law of refraction).
    • The power P of a lens is defined as the inverse of its focal length.
    • shows the effect of a concave lens on rays of light entering it parallel to its axis (the path taken by ray 2 in the figure is the axis of the lens).
    • The expanded view of the path of one ray through the lens illustrates how the shape of the lens (given the law of refraction) causes the ray to follow its particular path and be diverged.

  • The Lensmaker's Equation

    • The lensmaker's formula is used to relate the radii of curvature, the thickness, the refractive index, and the focal length of a thick lens.
    • In this case, we can not simply assume that a light ray is only refracted once while traveling through the lens.
    • Instead the extent of the refraction must be dependent on the thickness of the lens.
    • The lensmaker's formula relates the radii of curvature, the index of refraction of the lens, the thickness of the lens, and the focal length.
    • The lensmaker's formula relates the radii of curvature, the index of refraction of the lens, the thickness of the lens, and the focal length.

  • The Ray Aspect of Light

    • The law that deals with this change in direction is called the law of refraction.
    • This change in ray direction will depend on the refractive index of the material through which the light is travelling.
    • This is because the index of refraction of the water is different from that of the air.
    • This is called the angle of reflection .
    • The concept of refraction explains how a pencil submerged in water appears to bend.

  • Refraction

    • Refraction is described by Snell's law, which states that for a given pair of media and a wave with a single frequency, the ratio of the sines of the angle of incidence θ1 and angle of refraction θ2 is equivalent to the ratio of phase velocities (v1/v2) in the two media, or equivalently, to the opposite ratio of the indices of refraction (n2/n1):
    • In optics, refraction is a phenomenon that often occurs when waves travel from a medium with a given refractive index to a medium with another at an oblique angle.
    • For example, a light ray will refract as it enters and leaves glass, assuming there is a change in refractive index.
    • Understanding of refraction led to the invention of lenses and the refracting telescope.
    • Air has a refractive index of about 1.0003, and water has a refractive index of about 1.33.