What is Refractive index: Definition and 280 Discussions

In optics, the refractive index (also known as refraction index or index of refraction) of a material is a dimensionless number that describes how fast light travels through the material. It is defined as




n
=


c
v


,


{\displaystyle n={\frac {c}{v}},}
where c is the speed of light in vacuum and v is the phase velocity of light in the medium. For example, the refractive index of water is 1.333, meaning that light travels 1.333 times slower in water than in a vacuum. Increasing the refractive index corresponds to decreasing the speed of light in the material.

The refractive index determines how much the path of light is bent, or refracted, when entering a material. This is described by Snell's law of refraction, n1 sinθ1 = n2 sinθ2,
where θ1 and θ2 are the angles of incidence and refraction, respectively, of a ray crossing the interface between two media with refractive indices n1 and n2. The refractive indices also determine the amount of light that is reflected when reaching the interface, as well as the critical angle for total internal reflection, their intensity (Fresnel's equations) and Brewster's angle.The refractive index can be seen as the factor by which the speed and the wavelength of the radiation are reduced with respect to their vacuum values: the speed of light in a medium is v = c/n, and similarly the wavelength in that medium is λ = λ0/n, where λ0 is the wavelength of that light in vacuum. This implies that vacuum has a refractive index of 1, and that the frequency (f = v/λ) of the wave is not affected by the refractive index. As a result, the perceived color of the refracted light to a human eye which depends on the frequency is not affected by the refraction or the refractive index of the medium.
The refractive index varies with wavelength, this causes white light to split into constituent colors when refracted. This is called dispersion. It can be observed in prisms and rainbows, and as chromatic aberration in lenses. Light propagation in absorbing materials can be described using a complex-valued refractive index. The imaginary part then handles the attenuation, while the real part accounts for refraction. For most materials the refractive index changes with wavelength by several percent across the visible spectrum. Nevertheless, refractive indices for materials are commonly reported using a single value for n, typically measured at 633 nm.
The concept of refractive index applies within the full electromagnetic spectrum, from X-rays to radio waves. It can also be applied to wave phenomena such as sound. In this case, the speed of sound is used instead of that of light, and a reference medium other than vacuum must be chosen.In terms of eye glasses, a lens with a high refractive index will be lighter and will have thinner edges than its conventional "low" index counterpart. Such lenses are generally more expensive to manufacture than conventional ones.

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  1. C

    Newtons Rings: Calculating Refractive Index

    Newtons Rings Calculations - Values Not Working Out I'm having trouble with a Newtons Rings experiment to determine the refractive index of water. I'm using a sodium light source and a Vernier scale traveling microscope to measure the radius of the bright circles (I don't know if measuring the...
  2. N

    Effective Refractive Index - Should be simple

    Imagine a dielectric made of of alternating layers of widths A and B and refractive indices (a*) and (b*). Find the effective refractive index, N So in general: c/n = wavelength x frequency = phase speed My thinking was find the total time taken for the wave to propagate through the...
  3. P

    Mathematical description of Refractive index in crystal/glass

    Hi, I have read on a website that the refractive index of glass is related to the number of electrons it has per unit volume. I don't recall which website it was, but is it true? & if so what is the quantitative description behind it? or is it a lot more complicated :) Many thanks for...
  4. G

    Refractive Index of Silicon: Facts & Formula

    What is the refractive index for silicon ?
  5. J

    Gaussian Beam Width and Refractive Index

    Homework Statement I know that in free space, the width of a Gaussian beam can be written as W=W_0\sqrt{1+(\frac{z}{z_0})^{2}}. However, I was wondering if it was possible to express this width as a function of refractive index instead (since I don't believe a Gaussian beam originating in say...
  6. S

    Refractive Index of Optical Fibre Core and Cladding

    Homework Statement I need to find the refractive indexes of the core and cladding of an optical fibre by using the specs found here http://www.photonics.byu.edu/FiberOpticConnectors.parts/images/smf28.pdf Then I'm suppose to calculate the Numerical aperture and compare it with the one listed...
  7. O

    Derivation of complex refractive index

    Hi, Got a problem with the following derivation: Coming from the Helmholtz equation one gets: \textbf{n}^2=\muc^{2}(\epsilon+i\frac{\sigma}{\omega}) which is of course something like: \textbf{n}=n+i\kappa My question is, how do you obtain the following relations...
  8. A

    Young's double slit experiment with one slit covered with block of refractive index

    Homework Statement The interference pattern formed is given by I(θ)=4I0cos2(∏dsin(θ)/λ). For d=1×10-5m and λ=500nm plot the intensity pattern as a function of θ for small θ. How would this change if a block of material of thickness 500nm and refractive index n=1.5 were placed over one slit...
  9. R

    Complex term in refractive index , in context to rayleigh scattering

    I was studying Rayleigh Scattering. The theory says that Rayleigh Scattering is approximated to x<<1 where x=(2*pi*r)/lambda where r is the radius of the particle scattering light and lambda is relative scattering wavelength of light. lambda = wavelength of light / refractive index of...
  10. J

    Refractive index and its effect upon conduction/insulation

    Dear All, thank you for taking the time to view my post. I am a Biologist and I have come across a curious characteristic of proteins that are structural constituents of Nerve cell sheaths (These proteins in addition to lipids surround nerve axons). In general, they seem to have a high...
  11. M

    General formula for refractive index of moist air?

    Not sure if one exists but can anyone point me in the right direction? Looking for a formula which includes the temperature and partial/total pressure dependencies? I'm trying to find the trajectory of a photon through a cloud of varying (but known) temperature, pressure and humidity. If...
  12. A

    Can refractive index of a substance be increased?

    or is it possible to create a material with very high refractive index(order of 100's or more)
  13. E

    Amplitude reflection coefficient for high to low refractive index

    For a wave traveling from a medium with refractive index n1 to n2 with n2 > n1, the amplitude reflection coefficient is given by: r = (n2 - n1)/(n2 + n1) Consider a beam of light passing through a single pane of glass. There is a reflection at the front surface of the pane, with the...
  14. G

    Refraction in a medium with a gradient of refractive index

    Hi Folks, After a general search online, I have not yet found a simple description of refraction in a medium with an inhomogeneous refractive index. For example: if we have a block of glass with a beam of light shining through it, and the block has a gradient in the real part of the...
  15. L

    Refractive Index - A Mixing Question Answered

    Hi all, I am thinking about the refractive index, if I have two components with refractive index n1 and n2, respectively, then I mix them up (chemical reactions might happen after the mixing), and should I expect a mixture with refractive index:n=a*n1 + b*n2, where a+b=1. In other words...
  16. M

    Refraction and Complex refractive index

    Homework Statement At a wavelength of 400nm, the semiconductor ZnSe has a complex refractive index n= 3.0+0.32i A) If 400nm is incidient from air onto ZnSe with θ=tan-1(NR) = 71.6°, What is the refraction angle of the transmitted wave? B) Calculate the magnitude R and phase shift ψ...
  17. F

    How can frequency be used to calculate refractive index?

    How can i calculate the refractive index knowing only the frequency of the light entering the medium from air? n(refractive index) = (speed of light in vacuum) / (speed of light in medium)
  18. H

    Refractive index and depth of object in water.

    Question: A Fsherman sees a Fish in a river at an apparent depth below the surface of the water of 0.75 m. Given that the refractive index of water is 1.33, is the true depth of the Fish below the water's surface: A 0.75 m? B Less than 0.75 m? C 1 m? D More than 1 m? My proposal...
  19. S

    Focal length equation from Radii of Curvature and refractive index of lens

    Hi all, I'm looking for an equation which will give me the focal length of a biconvex lens given that we know both Radii of curvature, the thickness of the lens and the refractive index inside and outside. An equation is given on wikipedia here http://en.wikipedia.org/wiki/Focal_length as I...
  20. C

    Wavelength Change and Refractive index in a Conductor

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  21. M

    Calculating refractive index using lens

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  22. P

    Reflection loss and refractive index

    Homework Statement "Calculate the reflection loss when a beam of radiant energy passes through an empty quartz cell assuming the refractive index of quartz is 1.55"Homework Equations I/I_i = ((n2-n1) / (n2+n1))^2The Attempt at a SolutionI'm taking the refractive index through the empty cell...
  23. vhbelvadi

    How is refractive index a function of frequency?

    I recently came across the representation of n(ω) for refractive indices. I also scouted the internet for explanations but could find none, except one on 'complex refractive index' but I don't think that's quite it. So how exactly is refractive index a function of frequency?
  24. C

    Refractive Index Explained: sini/sinr Ratio

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  25. J

    Refractive index question - light beam around the world

    1. The refractive index of the Earth’s atmosphere is n = 1.01 + α(R − r), where α is a constant, r is the radial distance from the Earth’s centre and R = 6.4 × 10^6 m is the Earth’s radius. By considering a path comprising a series of total internal reflections or otherwise, find a value of α...
  26. Z

    Refractive Index: Part A, B, & C

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  27. T

    Dielectric constant refractive index relationship

    hi, i have seen on another topic here that the refractive index equals the square root of the dielectric constant. from datasheet values we have... water refractive index = 1.333 dielectric constant = 80.1 Without even doing the calculation its obvious that the square root of 80.1 is not...
  28. resurgance2001

    Refractive index of different liquids

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  29. T

    Relationship between density and refractive index of a medium

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  30. V

    How Does the Refractive Index Change with Frequency in Plasma Mode?

    Homework Statement Attached as pdf. Homework Equations Attached as pdf. The Attempt at a Solution I know that refractive index is given by n=\sqrt{\varepsilon} normally. But is it still the case when asked for n( \omega) ? If so, I've tried rearranging equation 3 for...
  31. S

    Lens problem with another medium of refractive index =2

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  32. D

    Situations that Require the Accurate Determination of Refractive Index

    Situations that Require the Accurate Determination of Refractive Index
  33. M

    Wavelength sand refractive index

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  34. E

    Any one help me in Refractive index and intiristic impedance of material

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  35. M

    What does refractive index depend upon?

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  36. M

    What Does the Ratio sin(φ1)/sin(θ4) Reveal About Light Refraction?

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  37. M

    Refractive index of optical fibre

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  38. C

    How to measure refractive index of plastic

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  39. V

    Relation between temperature and refractive index

    whats the relationship between the temperature of water and its refractive index?
  40. A

    Need refractive index for Radio wave propagation model

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  41. T

    Dispersion Relations and Refractive INdex

    Homework Statement The conductivity of a plasma is defined as \sigma = i\frac{Ne^{2}}{m\omega} where N is the electron density. a) Prove the refractive index is: n = \sqrt{1- (\frac{\omega}{\omega_{p}})^{2}} with \omega_{p} = \sqrt{\frac{Ne^{2}}{m\epsilon_{0}}} b) Show the Attenuation...
  42. M

    Refractive Index at Critical Angle: Find the Solution

    Homework Statement a ray of light traveling through glass is incident at the interface with air at an angle of 30 deg to the normal. if the ray is refracted at the critical angle, what is the refractive index of the glass? Homework Equations none The Attempt at a Solution sin...
  43. M

    Refractive index equation help

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  44. S

    EM Theory: Refractive index of water

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  45. M

    Refractive index of materials at rf frequencies to make a smaller wire antenna

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  46. E

    What Refraction Index Makes an Object Appear at Infinity in a Crystal Sphere?

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  47. S

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  48. L

    Finding Brewster's Law - Relation between Io and Refractive Index n

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  49. K

    Variations in Refractive Index of atmosphere with altitude ?

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  50. B

    How does refractive index matching make a solid disappear in a liquid?

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