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. M

    Radius divided or multiplied by refractive index?

    First of all, sorry for bad english. Second of all sorry if such thread is already created, but I really need fast help.Homework Statement There's a lamp in the bottom of the lake. If you watch the lamp from the surface(out of the water) and your eyesight is crossed with the lake, you can see...
  2. J

    Help understanding Refractive Index

    I get that the light changes speed as it enters a material with different densities, however I do not understand why a change in speed would cause a change in direction. For instance if I'm in a car and am going 55mph but slow down to 45mph I'm still going the same direction. It seems the only...
  3. R

    Is the Refractive Index Constant Despite Rising Extinction Coefficient?

    is it possible the refractive index remains constant while its extinction co-efficient rises as function of frequency? if yes when does this typical arise? i imagine that this can happen at the absorption edge of transmission spectra of a semiconductor but i don't find any explanation to this.
  4. J

    Snells Law and refractive index

    Snells law states that refractive index = (speed in medium 1)/(speed in medium 2) alternativley 1 μ2 = sin i / sin r Why therefore does Snells law also equal: μ1 * sin(angle-1) = μ2 * sin(angle-2) and for a critical angle μ1 sin C = μ2 sin 90 thanks
  5. A

    What is the relationship between refractive index and pressure in gases?

    Dependence of refractive index on pressure Homework Statement Show that, in a gas (for which the refractive index is close to 1), the refractive index depends on the pressure as n_r = 1+ K\times p, and find the value of K. Homework Equations n_r = 1+ K\times p Clausius-Mossotti...
  6. A

    Does Refractive Index of a Gas Change with Pressure?

    Dependence of refractive index on pressure Homework Statement Show that, in a gas (for which the refractive index is close to 1), the refractive index depends on the pressure as n_r = 1+ K\times p, and find the value of K. Homework Equations n_r = 1+ K\times p Clausius-Mossotti...
  7. G

    Complex refractive index mesurement from reflectivity data

    hi All, Just wondering how you get the complex refractive index of a material from relectivity measurements at a single angle. I understand you must infer some of the data, using the Kramers Kronig relations, is this right? Is there a direct way of calculating it? I see from an article on...
  8. F

    Refractive index and dispersion (name & usage of eq and conceptual questions)

    Sry for a proper wall of text, and it´s probably pretty "chatty" too, as I reason about things back and forth... Plz do feel free to comment on the reasoning since I post it to learn how to think about these things... I believe that I have sometime learned that one can relate refractive index...
  9. R

    What determines the refractive index of a material?

    1- what determines the refractive index of a material? i understand that it is ratio between velocities in vacuum and medium but i want to know about complex refractive index which also accompanies extinction co-efficient. my explanation is that bent and slowing down of light depends on crystal...
  10. J

    Question about refractive index and momentum

    I'm probably doing something stupid here... A wave travels from a medium into a second medium with a smaller refractive index. By definition the speed of the wave increases. Then lambda*f = v, so the wavelength also increases. According to de Broglie, this means the momentum goes down...
  11. S

    Refractive index of Vanillin and p-bromobenzophenone

    Hi, I have an organic chemistry assignment identifying an unknown sample. My tutor has asked for the properties (I can find all but refractive index) for vanillin and p-bromobenzophenone. I found that for Vanillin it is 1.555 but I know that it changes with temperature and I cannot find a...
  12. P

    Refractive index and Maxwell theory

    Maxwell theory n=\sqrt{\epsilon_r \mu_r Refractive index for water is n=1,33. For water \epsilon_r=81, \mu_r=1 so it should be n=9 Why we have so big anomaly for water?
  13. A

    How Does Refractive Index Relate to Wave Velocity Changes Between Media?

    Homework Statement Define refractive index in terms of changes in the velocity of a wave in passing from one medium to another. Homework Equations The Attempt at a Solution Would I be right in saying that in terms of the question above, refractive index is the constant found between the...
  14. R

    Refraction - Refractive Index

    Homework Statement A ray of light is incident in water on a plane water-glass boundary. The angle of incidence is 30 degrees. Calculate the angle of refraction. (Refractive index of glass with respect to air =3/2, refractive index of water with respect to air = 4/3). Homework Equations...
  15. 2

    Microscopic reason why refractive index typically increases with frequency?

    I'm thinking of normal dispersion, of course, far from any resonances, say in bk5 glass or water. I thought it might be due to higher-frequency light undergoing more collisions, but I'm not sure. Thanks!
  16. E

    Solving for Refractive Index: Light Beam Incident on Glass Slide

    Homework Statement A light beam incident on a glass slide at an angle of 60 ˚, being partly reflected and partly refracted. It notes that reflected and refracted beams are each at 90 ˚ What is the refractive index of glass? Homework Equations n1sinσ1 = n2sinσ2 The Attempt at a...
  17. A

    Controlled Variables in Exp to determine Refractive Index

    Homework Statement My question is very basic, yet one which has become increasingly frustrating. I am doing an investigation into determing the refractive index of Perspex for an assignment. To do this I am using a light ray box to shine a ray onto a rectangular perspex prism, and then using...
  18. H

    Chromatic Dispersion, and Variability of Refractive Index on Wavelength

    Hi I'm trying to sort this concept out in my head and have reached a stumbling block! 1. ok so light travels through medium a and transmits through medium b and refracts. The angle or refraction is given by snell's law, and quantified by the refractive index of materials a and b. 2. But I...
  19. S

    Refractive Index and Total Internal Reflection: Exploring the Minimum Value of n

    Homework Statement I uploaded the question below.2. The attempt at a solution At first what I did was using the Snell's Law formula n_1 \sin{\theta _1}=n_2 \sin{\theta _2} then I did this, n\sin{\ 45}=1 \sin{\ 90} so this is the minimum value that I got n=1.41 I'm not sure if my answer is...
  20. L

    Refractive Index of Water/Glass Combination

    If a beam of light enters water from air at 30 degrees from the normal. It then enters a glass block and exit into air. At what angle does it exit from glass to air ? My friend says it exist again at 30 degrees to normal. The refractive index of water is 1.3 and glass is 1.5.
  21. M

    Does anyone know a crystal with refractive index of water?

    When I was a little kid, I met a gemologist who showed me a cool trick with a ring he'd bought for his wife. When he submerged it in water, the crystal disappeared! As I now know, this crystal had an index of refraction of 1.33. Anyone know what this crystal is and/or how I can get my...
  22. P

    Relationship between Refractive index and Inpedance

    as described in the title, what's the relationship between these 2 quantities in a given material? ty
  23. N

    What is the minimum refractive index for total internal reflection at point P?

    A ray of light strikes a square glass block at an angle of 45 degrees and enters the glass. If this block is surrounded by air (n=1), what is the minimum value of the refractive index of the glass if the total internal reflection occurs at point P. (see attached diagram) I'm really lost on...
  24. W

    Finding Thickness of glass knowing OPD and refractive index.

    Homework Statement A beam of light is split into two coherent beams of intensity I which are in phase. The two beams are sent through different paths and superimposed at the same spot on a screen. A path difference is to be achieved by inserting a glass window of refractive index of 1.7 in the...
  25. V

    Transparency and refractive index

    I am trying to understand the relation between transparency and refraction index. Searched this forum so found and read some topics too. As I undertand, transparency is related with atomic structure and phonons. This is ok. If light beam (or say photons) faraway from phonons (and atoms), they...
  26. P

    How does the refractive index change with the wavelength of light?

    can some one tell me how the refractive index changes with the wave length of the light?
  27. L

    In prism, is angle of deviation related with the refractive index of prism?

    Optics, prism and angle of deviation 1. Angle of incidence, emergence and deviation are respectively 30, 60 and 45 degree. 2. 3. I think that it is irrespective of the refractive index.
  28. W

    Building Materials Refractive Index?

    Building Materials Refractive Index?? Hi all, does anybody know the refractive indices of these materials (used in houses)? - Wall bricks - Wood (used in doors) - Glass - Plastic - Concrete (in ceiling and floor) and any other common materials :) thanks in advance
  29. J

    Refractive index snell's law help

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  30. S

    Exploring Different Methods for Measuring Refractive Index

    I am currently undergoing advanced higher physics and my investigation is on measuring refractive index. I have conducted 3 experiments so far: the standard ray lamp experiment from higher and two different versions of the apparent depth method. However, these experiments have been simple and...
  31. M

    Finding refractive index of liquid with no parallax principle

    In physics class we did an experiment where we dropped a metal pin in a beaker of water, covered half the beaker with a mirror and clamped another metal pin above the beaker. We had to find the refractive index of the water by measuring the apparent depth of the submerged pin and dividing it...
  32. N

    Why Refractive Index Varies with Wavelength of Light

    Homework Statement We learn from school that when we shine white light through a prism, dispersion occurs. This is because the light of varying wavelengths are refracted to a different extent due to how refractive index varies with the wavelength of light. So why does refractive index vary...
  33. D

    [x-ray physics] refractive index

    There doesn't seem to be any difference between n = (1-\delta) - i\beta (the refractive index in the x-ray regime, where 1-\delta is the real part and \beta is the the absorption index) and n^{\ast} = n - ik (the complex refractive index, where n is the refractive index and k is the...
  34. L

    What is the ideal refractive index difference for achieving invisibility?

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  35. I

    Relative Permittivity and Refractive Index

    in relating the index of refraction to the relative permittivity (dielectric constant/function). it is known that n = \sqrt{\epsilon_r} for optical frequencies (i.e. \mu_r=1. now this website http://hyperphysics.phy-astr.gsu.edu/Hbase/tables/diel.html#c1 gives the relative permittivity of...
  36. Z

    How to understand the refractive index of metals

    for an example, polycrystalline silver, its index is n=0.135 and k =3.999 at the wavelength of 633nm, what does the nk mean, is that telling us the wavelength in the silver equals 633/0.135 nm ? and how to calculate the refractive angle in the metal? Give a good explanation, please.
  37. E

    Refractive index of Martian atmosphere near surface

    Hi folks, Does anyone have a good reference for the refractive index of the near surface Martian atmosphere? (Or alternatively, the means to estimate it from readily available data!) I'm struggling to think of an equation for which I've got enough of the variables to be of use, (for...
  38. A

    Exploring the Formation of Rainbows - Measuring Refractive Index

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  39. 3

    Refractive index and speed of light

    Homework Statement A slab of glass has a refractive index of 1.3. What will be the speed of light in this glass? Homework Equations The Attempt at a Solution \frac{sin i}{sin r}=1.3 ?
  40. R

    How Does Temperature Gradient Affect Refractive Index in Fluid Thermodynamics?

    Does anyone have an idea about a formula relating the refractive index of a medium to the temperature gradient (Generally)?
  41. M

    Refractive Index of MoS2 - Answers to Your Questions

    ?? Refractive Index ?? Dear all, For particle size distribution of MoS2 I need refractive index and absorption for this compound. Actually I couldn’t find it in the literature. Could you help me for this aim?
  42. Z

    Snell's law with a complex refractive index

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  43. M

    Refractive Index Units - What Units are Used to Measure Refractive Index?

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  44. M

    Optics - Refractive Index etc

    http://aycu12.webshots.com/image/44931/2004851894362651280_rs.jpgany idea what then?
  45. P

    Why some materials have bigger refractive index than others?

    why some materials have bigger refractive index than others? Let's say why air have 1.003 refractive index, and quartz glass 1.46?
  46. J

    Understanding Refractive Index Measurement in Interference Patterns

    How can one measure refractive index by knowing the change in angular range of the first dark bands of an interference pattern(single slit diffraction), when the apparatus is change from air to under water? I think I missed that lecture, and I am still catching up.
  47. D

    Refractive Index Calculation for Light Passing from Substance X to Substance Y

    Homework Statement For substance X, the refractive index is nx. For another substance Y the refractive index ny. Show that the refractive index for light passing from x to y is nx/ ny. 2. The attempt at a solution I'm finding it difficult to devise a solution, but I think the answer...
  48. J

    How Do You Calculate the Refractive Index of a Prism?

    Refractive Index Problem invloving prism (Please Help) Homework Statement What is given is a prism, angle of deviation and apex angle, I also have to find refractive index of the prism. To solve the problem I must prove that: Nprism = sin((A+d)/2)/ sin(A/2) The diagram given of the...
  49. N

    Stargazing Negative Refractive Index Telescopes?

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  50. V

    What is the refractive index of Methanol in the Infra Red range?

    I'm looking for Methanol (CH3OH) refractive index (n,k) table in Infra Red 2-10micron If anyone can help me with that
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