What is Refraction: Definition and 749 Discussions

In physics, refraction is the change in direction of a wave passing from one medium to another or from a gradual change in the medium. 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 is refracted is determined by the change in wave speed and the initial direction of wave propagation relative to the direction of change in speed.
For light, refraction follows Snell's law, which states that, for a given pair of media, the ratio of the sines of the angle of incidence θ1 and angle of refraction θ2 is equal to the ratio of phase velocities (v1 / v2) in the two media, or equivalently, to the indices of refraction (n2 / n1) of the two media.







sin


θ

1




sin


θ

2





=



v

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v

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n

2



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{\displaystyle {\frac {\sin \theta _{1}}{\sin \theta _{2}}}={\frac {v_{1}}{v_{2}}}={\frac {n_{2}}{n_{1}}}}

Optical prisms and lenses use refraction to redirect light, as does the human eye. The refractive index of materials varies with the wavelength of light, and thus the angle of the refraction also varies correspondingly. This is called dispersion and causes prisms and rainbows to divide white light into its constituent spectral colors.

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  1. M

    Finding index of refraction using wavelength and 2 angles?

    Finding index of refraction using wavelength and 2 angles?? I'm not sure how to do a problem that involves a light ray striking a block/air interface, how to find the index of refraction of a transparent material when given the wavelength, the angle the light ray makes with respect to the...
  2. K

    Refraction Problem: Find Angles with Triangles

    Homework Statement http://img98.imageshack.us/img98/371/physicsproblemrh8.jpg Homework Equations The Attempt at a Solution Basically, I tried to use triangles to find the angles. But I don't know how as it seems I'm only given one side of the triangles.
  3. K

    What is the Angle of Refraction for Electrons in a Metal Surface?

    Homework Statement When an electron beam is incident on a metal surface at an angle tetha 1 to the normal, electron waves are refracted into the metal at an angle tetha 2, following Snell's law. The effect on an electron can be represented approximately by a drop in its potential energy...
  4. Helios

    Gravitational index of refraction

    Suppose an experimenter firstly is entirely ignorant of general relativity and non-euclidean space. He finds (say) a point-source gravitational field. He fires light beams about and notices the deflection. He concludes that there's a not-equals-one index of refraction n about the source point...
  5. S

    Quick Question about Refraction and Light

    Quick Question about Refraction and Light! Homework Statement http://www.webassign.net/hrw/hrw7_33-55.gif Suppose a prism has apex angle ϕ = 62.0° and index of refraction n = 1.58. What is the smallest angle of incidence θ for which a ray can enter the left face of the prism and exit...
  6. B

    Refraction - what's happening for real

    Ok. I don't understand this refraction stuff. The books all show the light bends down when light from the air enters water ah, change in medium. But when I clean our pool the rod appears to bend up. My Dad is a jock and he says to hunt for fish you throw the spear in front of the fish you...
  7. G

    Refraction 2: Is Larger Angle Refraction Possible?

    Refraction 2! If you increase the incident angle for the wave coming in, what happens to the angle of refraction? Does it get smaller or larger? (refracting from a slower speed medium to a faster speed medium)
  8. M

    Refraction due to attractive potential

    Homework Statement Electrons incident on a crystal suffer refraction due to an attractive potential of 15V. If the angle of incidence is 45 degrees and the electrons have an incident energy of 100eV, what is the angle of refraction? Homework Equations Snell's law...
  9. M

    Refraction due to attractive potential

    Electrons incident on a crystal suffer refraction due to an attractive potential of 15V. If the angle of incidence is 45 degrees and the electrons have an incident energy of 100eV, what is the angle of refraction? Ok, so i know that i have to use snell's law, but I'm stuck on calculating the...
  10. B

    Refraction by a transparent spherical surface

    Homework Statement Parallel light rays enter a transparent sphere along a line passing through the center of the sphere. The rays come to a focus on the far surface of the sphere. What is the sphere's index of refraction? Homework Equations The Attempt at a Solution so I used...
  11. B

    Cat & Fishbowl Refraction Problem

    Homework Statement A goldfish lives in a 50 cm diameter spherical fish bowl. The fish sees a cat watching it. If the cat's face is 20 cm from the edge of the bowl, how far from the edge does the fish seet it as being? (You can ignore the thin glass wall of the bowl). Homework Equations...
  12. S

    Reflection and Refraction (Lateral Displacement)

    1. The Problem A thin beam of white light is directed at an angle α = 36.4° with respect to the horizontal, onto the top of a square block of silicate flint glass near its top corner. The perpendicular length of the block (or height is 1cm). The block’s refractive index n is 1.66 for blue...
  13. S

    Finding Index of Refraction (n) Using θi and θr

    1. In an experiment to find the index of refraction, n, of a block of glass, the angle of incidence, θi, and angle of refraction, θr, were measured a number of times as follows: θi: 10° 20° 30° 40° 50° θr: 7.0° 13.5° 20.0° 25.5° 31.0° Given that the relationship between n, θi and θr is...
  14. G

    How Do Refraction and Reflection Differ in Optics and Sound Waves?

    Could some explain the difference in refraction and reflection in optics and sound waves?
  15. G

    Index of Refraction & Frequency: Clarifying the Relationship

    I was wondering if someone can clarify the relationship between index of refraction and frequency. I know that when light is entering into a high index of refraction (say air to glass) that the index is increasing, light bends towards the normal, the speed decreases, and wavelength becomes...
  16. E

    Find index of refraction of the prism for 2 wavelengths

    Homework Statement Homework Equations Snell's Law: na*sin(theta of a) = nb*sin(theta of b) wavelength = index of refraction / n n = c / v The Attempt at a Solution The only information given in the problem is the 2 angles of refraction and of course n of air is 1, I do not understand how to...
  17. R

    Question: Why Does Compressed Air Cause Refraction?

    I have a question! On my desk is a aerosol of compressed air, for blowing dust away and stuff. If you look carefully, the jet stream of air causes a visible refraction against the background. Why is this? I'm assuming it's based on the same way that a heat-haze causes refractions over...
  18. C

    Calculate the angle of refraction for a substance

    Homework Statement Calculate the angle of refraction for a substance that has a critical angle of 50.5 degrees when that substance is in the air. Homework Equations Apparently the equation I need is: ni *• sine() = nr • sine () My problem is, I have no idea how to use this...
  19. P

    Index of Refraction in a prism

    Homework Statement The light incident on a 45 degree prism undergoes total internal relfection at point P. What can you conclude about the index of refraction in the prism? (Determine either a minimum or maximum) This is a right triangle, with the two other angles being 45 degrees and...
  20. Z

    Refraction and constant frequency

    When a photon goes say from air to water, it slows down according to; n=c/v where n is refractive index of water c is velocity of light in air v is velocity of light in water It is stated that the frequency of the photon doesn't change when the photon enters the water. Only the...
  21. J

    Question about refraction experiments

    A very noobish physics question: Has it been experimentally verified, that individual photons get refracted, for example when shot one at a time through a glass, or does the refraction occur only with classical electromagnetic waves?
  22. K

    Geometrical optics LENSES Refraction

    Homework Statement A lens is made of glass for which the refractive index is n[r]=1.5 for red beams and n[v]=1.52 for violet beams. radii of both surfaces are the same and equal R=1m. Find the distance between foci for red and violet beams Homework Equations The Attempt at a Solution
  23. N

    Understanding Wave Refraction in Denser Media

    Why does a wave refract as it enters a denser medium? i thought a wave was a photon and so i don't understand how a particle can be slowed down on one side before the other, enough that it changes direction by that much, would it not just move between the atoms? as most of the atom is just...
  24. Y

    How Does Light Travel Through a Gradually Changing Refractive Medium?

    Hi, I found a solution to the following problem but I don't think it is right. Homework Statement A ray of light enters the atmosphere of a planet. It is perpendicular to the atmosphere. When it enters the atmosphere, the index of refraction equals the index of refraction of vacuum but...
  25. B

    Light Refraction: Find Angle of Refracted Ray

    Homework Statement A ray of light strikes a piece of glass (n=refraction index=1.5), making an angle of 30 degrees with the surface. What angle does the refracted ray make with the surface? Homework Equations Snell's Law: n1*sin(theta1)=n2*sin(theta2) The Attempt at a Solution...
  26. B

    Refraction and Total Internal Reflection

    http://img210.imageshack.us/img210/6094/questionuz8.png i) What is the angle of refraction of the ray RS after it strikes the glass prism of refractive index=1.5? ii) If the critical angle is 41.8 degrees, deduce whether the ray will suffer total internal reflection. 2. Homework Equations ...
  27. J

    What Is the Minimum Angle of Incidence for Light to Traverse a 60-Degree Prism?

    Homework Statement Given an apex angle of 60 degrees and an index of refraction of 1.6; what is the smallest angle of incidence for which a ray can enter the left face of a prism and exit the right face? Homework Equations The Attempt at a Solution
  28. A

    Incidence, Refraction, Critical Angle

    Homework Statement Travellers in hot places often think that they see water in the distance, when there is nothing but land there. This effect is called a mirage. The air near the ground is very hot, and light reflects off the top of this layer of hot air. The diagram below shows how you could...
  29. O

    Solving Fish Refraction Problem Using Law of Refraction

    Homework Statement Imagine a fish in the lake. And assume that the surface of the water is absolutely flat--no waves at all. Draw a picture and describe what the fish should see. Can the fish see someone standing on the shore of the lake? Homework Equations The Attempt at a...
  30. morrobay

    Index of refraction = sqrt dielectric constant

    Can someone explain in terms of electric fields how the index of refraction squared = the dielectric constant of the material ?
  31. B

    Reflection and refraction of light problem

    Homework Statement 3. Assume the slab is perfectly rectangular and has width W. (a) Calculate the distance (L) the light travels INSIDE the block as a function of W and the angle t1. (b) From the right-angled triangle with vertices IPE calculate the lateral displacement x in terms of...
  32. A

    Finding the Index of Refraction from Pressure & Temp

    For Snell's law n2sin(theta2)=n1sin(theta1), I know that air has an index of refraction of approximately 1. But how do I find the actual value for the index of refraction if I know the temperature jump and pressure? I know that from what I am given, I can find the densities of the air, but then...
  33. T

    Solve Water Refraction: Length of Stick's Shadow

    [SOLVED] Water Refraction Homework Statement An opaque stick which is d = 1.93 meters tall stands vertically upright on the bottom of a pool of clear water. Parallel rays of sunlight making an angle of 45.0 degrees with the water?s surface illuminate the pool as shown. What is the length of...
  34. P

    Convex Lens and Light Refraction

    Hi all, if light was to go straight through a convex lens would it come out straight or inverted to a point? also if light was to go through the same lens but goes through going inwards how would the light be refracted?
  35. B

    Calculating the Refraction Angle of a Light Ray Incident on a Prism

    Homework Statement A light ray is incident on a prism whose apex angle is 65.0°. The ray is incident at θa and leaves the prism with θa = θd. The refractive index of the prism glass is 1.54. Calculate θ ans:55.8° Homework Equations n1sin\phi1=n2sin\phi2 The Attempt at a...
  36. E

    Difference in index refraction

    What does a higher index of refraction really mean? I know about speed wavelength etc but let's say you have 2 different material to choose and ignoring other variables, and focal length, diameter are all the same between both material, would you choose a lower index refraction or higher. Thanks
  37. C

    Determining the Index of Refraction

    Homework Statement PART A) What is the frequency of blue light that has a wavelength of 450 nm? PART B) What is the frequency of red light that has a wavelength of 650 nm? PART C) What is the index of refraction of a material in which the red-light wavelength is 450 nm? Homework...
  38. D

    True/False Help: Index of refraction and Reference Frames

    Which of the following statements are true? 1. The index of refraction is the ratio of the vacuum speed of light to the speed inside the medium. 2. The index of refraction is independent of the wavelength of the light. 3. If a light beam is incident perpendicular to the surface of another...
  39. cepheid

    Rainbows and refraction of light

    Hi, I have always wondered this about the standard explanation for a rainbow. Okay, so individual water droplets refract light entering them, dispersing it, as well as changing its direction. Fine. Here's my question: why don't we see millions of little discrete spectra, one for each droplet...
  40. A

    Refraction of light in three mediums

    1. 2 cases: there are three mediums first case: light travels from first medium to second, then to third. n1 = 1.1; n2 =1.6; n3 =1.9 angle of incidence before first = theta 1 angle of refraction after first = theta 2 angle of refraction after second = theta 3 second case: light travels...
  41. B

    Index of refraction, calculate frequency. ~ stuck at 2 unknown variables

    Homework Statement An laser is used of wavelength 544 x 10^-7 m (in air) for eye surgery. The index of refraction of the fluid in an eye is n = 1.43. Calculate the frequency of the laser waves in the eye. n = 1.43 L1=544 x 10^-7 L2= f = Homework Equations n=L1/L2 L1 being the wavelength...
  42. R

    Angle refraction from a point on glass.

    Homework Statement The drawing shows a rectangular block of glass (n = 1.52) surrounded by liquid carbon disulfide (n = 1.63). A ray of light is incident on the glass at point A with a = 36.0° angle of incidence. At what angle of refraction does the ray leave the glass at point B? Please...
  43. P

    Understanding Light Refraction Through Different Mediums

    Hi! I want to ask you something. When the light travels through medium 1, there is reflection of light, so there is energy released, but it needs time the energy to travel through medium 2, right?
  44. L

    Minimum Thickness of a film with wavelength and index of refraction.

    1. If the index of refraction of you soap was 1.35, calculate the (minimum) thickness of the film at that part of the film that appears green, given that in air, green light has a wavelength of 535 nm. 2. x = L(lambda/2t) 3. I can't figure out how to derive the equation with n...
  45. D

    Critical angle and refraction

    Homework Statement A cubic container contains air, water, glycerin, amd diamond. There are no spaces between, and all boundaries are parallel. For light to travel through all of the substances, what is the maximum angle of incidence of the light ray in the diamond? Homework Equations...
  46. O

    Simple Law of Refraction Problem

    Homework Statement I am studying the Law of Refraction. I am at a point in my textbook called a "checkpoint". These are supposed to be simple questions to test understanding. I'm apparently not understanding thus far because I cannot figure out this problem...
  47. S

    Strange Refraction from Glasses

    I recently got a stronger prescription for my glasses, and I now notice something strange. If I look at an object, say my computer screen through the left edge of the left lens, the left side of the screen will be red, while the right side will be blue. This happens for any object the is...
  48. P

    What Is the Index of Refraction of the Liquid in the Tank?

    [SOLVED] Another Index of Refraction Problem! HELP! PLEASE Homework Statement When the rectangular metal tank in Figure 33-49 is filled to the top with an unknown liquid, observer O, with eyes level with the top of the tank, can just see the corner E. A ray that refracts toward O at the top...
  49. P

    Refraction Problem- very easy but

    [SOLVED] Refraction Problem- very easy but need help . . . .
  50. A

    Find the angles of refraction for these two colors.

    Homework Statement The index of Refraction for a diamond for red light, 656 nm, is 2.410, while that for blue light, 434 nm, is 2.450. Suppose white light is incident on the diamond at 30.0 Degrees. Find the angles of refraction for these two colors. Homework Equations sinr/sini = n2/n1 =...
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