What is Diffraction grating: Definition and 202 Discussions

In optics, a diffraction grating is an optical component with a periodic structure that splits and diffracts light into several beams travelling in different directions. The emerging coloration is a form of structural coloration. The directions of these beams depend on the spacing of the grating and the wavelength of the light so that the grating acts as the dispersive element. Because of this, gratings are commonly used in monochromators and spectrometers.
For practical applications, gratings generally have ridges or rulings on their surface rather than dark lines. Such gratings can be either transmissive or reflective. Gratings that modulate the phase rather than the amplitude of the incident light are also produced, frequently using holography.The principles of diffraction gratings were discovered by James Gregory, about a year after Isaac Newton's prism experiments, initially with items such as bird feathers. The first man-made diffraction grating was made around 1785 by Philadelphia inventor David Rittenhouse, who strung hairs between two finely threaded screws. This was similar to notable German physicist Joseph von Fraunhofer's wire diffraction grating in 1821. Gratings with the lowest line-distance (d) were created, in the 1860s, by Friedrich Adolph Nobert (1806–1881) in Greifswald; then the two Americans Lewis Morris Rutherfurd (1816–1892) and William B. Rogers (1804–1882) took over the lead; and, by the end of the 19th century, the concave gratings of Henry Augustus Rowland (1848–1901) were the best available.Diffraction can create "rainbow" colors when illuminated by a wide-spectrum (e.g., continuous) light source. The sparkling effects from the closely spaced narrow tracks on optical storage disks such as CDs or DVDs are an example. Similar rainbow effects seen in thin layers of oil (or gasoline, etc.) on water are not caused by a grating but rather by iridescence in reflections from the closely spaced transmissive layers. A grating has parallel lines, while a CD has a spiral of finely spaced data tracks. Diffraction colors also appear when one looks at a bright point source through a translucent fine-pitch umbrella-fabric covering. Decorative patterned plastic films based on reflective grating patches are very inexpensive and commonplace.

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  1. maverick_starstrider

    Diffraction Grating Video (QED)

    I was just looking through Feynman's QED book (i'm surprised I'd never read it before) and I was wondering if anyone knew of any videos out there that actually experimentally demonstrate how light can be reflected by a diffraction grating even when the incident laser isn't actually POINTING at...
  2. S

    Diffraction grating, lines per mm, and how to show the spacing

    A diffraction grating is labelled 300 lines mm^-1 (lines per mm) Show that the spacing (d) between the lines on the grating is 3.3 x 10^-6m i can't really think of any relevant equations. but I'm assuming standard form. i can't believe that the answer would be as simple as converting to...
  3. M

    Slits per cm on diffraction grating

    Homework Statement Light of 650 nm can be seen in three orders in a particular grating. About how many slits per cm does this grating have? Homework Equations Yikes. The Attempt at a Solution Either this question is ridiculously hard resulting in me not even having a clue...
  4. D

    Diffraction grating and wavelengths

    diffraction grating URGENT Homework Statement A spectrometer is used to analyze a light source. The screen-to-grating distance is 50.0 cm and the grating has 5000 slits/cm. Spectral lines are observed at the following angles: 12.98, 19.0, 26.7, 40.6, 42.4, 63.9 and 77.6. How many different...
  5. D

    Confused on diffraction grating question

    1. Homework Statement a) Exactly 4 bright fringes are seen on either side of the central maximum when a diffraction grating is illuminated with yellow-green light of a wavelength of 570 nm. What is the maximum number of lines/meter for the grating? 2. Homework Equations sin(theta) =...
  6. B

    Diffraction grating for astronomy?

    Hi, i am new here, so am not really sure wheather i am asking this qus at the right place. I have a Lab based qus. I just did the atomic spetra analysis using a diffraction grating, analysing hydrogen gas. But but when i calculate the wavelengths of the lines, its way off from the literature...
  7. N

    Diffraction grating problem, missing orders, diffraction minimum and maximums.

    Homework Statement Missing orders occur for a diffraction grating when a diffraction minimum coincides with an interference maximum. Let D be the width of each slit and d the separation of slits. (a) show that if d = 2D, all even orders (m=2,4,6) are missing. (b) show that there will be...
  8. N

    Diffraction Grating Problem, brightness maximum involved

    Homework Statement A bulb emits a continuous spectrum of ultraviolet, visible and infrared light in the wavelength range 360nm to 2000nm. Assume that the light from this bulb is incident on a diffraction grating with slit spacing d and that the first-order brightness maximum for the wavelength...
  9. F

    Transmission function of diffraction grating aperture

    Homework Statement The aperture has vertical opaque strips of width, a, separated by open spaces of width 2a. The width of the overall aperture is L = 19a. a) Write a transmission function for this aperture. b) What would the field distribution be, at a plane in the Fraunhofer zone, if the...
  10. S

    Diffraction Grating: Finding Wavelength with Given Angle and Slit Density

    Homework Statement Monochromatic light shines on the surface of a diffraction grating with 5.3x10^3 lines/cm. The first order maximum is observed at an angle of 17 (degrees). Find the wavelength. a) 420nm c) 530nm b) 520nm d) 550nm Homework...
  11. N

    What Are the Angles for Different Orders of Diffraction?

    Homework Statement Monochromatic light from a helium-neon laser(lambda=632.8nm) is incident normally on a diffraction grating containing 6000lines/cm.Find angles at which the 1storder,2nd.. Homework Equations The Attempt at a Solution here goes my solutions, given lambda=632.8 X...
  12. K

    Diffraction grating and red light

    Homework Statement White light is spread out into its spectral components by a diffraction grating. If the grating has 2469 lines/cm, at what angle does red light of wavelength 635 nm appear in first order? Answer in units of ◦. Homework Equations sin(theta) = m(\lambda /d) The...
  13. I

    Solve Diffraction Grating for Red & Blue Light [URGENT]

    Diffraction Grating? [URGENT] Homework Statement Consider two monochromatic sources of light, blue light of wavelength λb = 460 nm and red light of wavelength 670 nm. The red light is shun upon a diffraction grating of density, nr = 10,000 lines per cm. A diffraction grating with what line...
  14. B

    Diffraction grating wavelength problem

    Homework Statement Light passes through a 200 line/mm grating and is observed on a 1.0 m wide screen located 1.0 m behind the grating. Three bright fringes are seen on both sides of the central maximum. What are the minimum and maximum possible values of wavelength? Homework Equations...
  15. M

    Identifying Sides of a Diffraction Grating

    Homework Statement I have a diffraction grating , how will i know which side is ruled & which is not ? Homework Equations The Attempt at a Solution
  16. C

    Diffraction Grating: Laser Illumination & 643 nm Wavelength

    Homework Statement A laser is used to illuminate a diffraction grating that has spacing of 637 lines per mm. The grating sits 11.6 cm in front of a screen. Find the distance to the first and second maxima (y1 and y2) for the laser wavelength of 643 nm. Express your answers in mm. Homework...
  17. G

    Calculating Wavelength Using Diffraction Grating

    Ok, so I'm going to have a lab final on diffraction gratings tomorrow, and I want to make sure I have the right idea. Basically we need to find out the wavelength of an unknown light using a diffraction grating. So let's say the grating is perpendicular to the light, and the distance from the...
  18. K

    Diffraction Grating: What's It Called?

    "Diffraction Grating" We did a diffraction experiment involving single slits, double slits, and a diffraction grating. Apparently the diffraction grating that we got was "different" (according to a classmate). The diffraction grating was "criss-crossed" and didn't produce any dark fringes on...
  19. S

    How Can You Identify Diffraction Gratings Using a Laser and Detection Screen?

    You find two unlabelled diffraction gratings in your lab. From purchase records, you know that one grating has 5000 lines/cm, while the other has 10 000 lines/cm. Given the following equipment, describe how you would determine which is the grating with 10 000 lines/cm: • Red laser • detection...
  20. R

    Diffraction Grating wavelengths

    light wavelengths of 520nm and 630nm passes through a diffraction grating that contains 6000lines/cm. a) sketch a diagram of the image produced from m=0 to m=2. label the order of each fringe.b) calculate the angles for the first and second-order maxima that would appear on the screen. c) What...
  21. R

    Diffraction Grating: 520nm & 630nm Wavelengths, 6000 Lines/cm, m=0-2 Fringes

    light wavelengths of 520nm and 630nm passes through a diffraction grating that contains 6000lines/cm. a) sketch a diagram of the image produced from m=0 to m=2. label the order of each fringe.b) calculate the angles for the first and second-order maxima that would appear on the screen. c) What...
  22. M

    What do the angles represent in terms of wavelength?

    Firstly, after thinking wether this should go in the Homework and Coursework section, I can to the conclusion, that was not the right place, as I am just wanting to expand on what I have done in a lesson. Well, firstly we just touched on it, and I didn't really get the concept. I know that it...
  23. G

    Diffraction Grating number of slits

    [SOLVED] Diffraction Grating Homework Statement Find the number of slits per centimeter of a grating designed to disperse the first-order visible spectrum through an angular range of 15.0. Find also the angles at which the first-order visible spectrum begins and ends. Homework...
  24. K

    Diffraction grating - have answer and working, but don't understand it

    Homework Statement A sodium lamp with wavelength 589nm is diffracted by the fabric of an umbrella with a spacing of 0.04mm. If the sodium lamp is 20cm across and 100m from the umbrella, by how many multiples of the lamp width will the diffraction order, viewed through the fabric of the...
  25. N

    What is the Path Difference for a Diffraction Grating?

    I'm doing an A level past paper for physics and there's a diagram involved which I can't put on here but here is the link: http://www.egsphysics.co.uk/files/web_pages/exams.html It is the June 2004 paper unit 4 question 1. The question is asking for the path difference between two...
  26. K

    How Do You Calculate the Density of a Diffraction Grating?

    Homework Statement A diffraction grating uses light with a wavelength of 475 nm to generate an interference pattern. if the highest order maximum that appears is the fifth-order. what is the density of the grating in lines/cm? Homework Equations sinθ = mλ / d t= (m + 1/2) (λ) / 2...
  27. P

    How does a Reflection diffraction grating work?

    Hello, I am wondering how does a reflection diffraction grating work. Most physics text simply ignore this topic or talk in very ambigious terms. I understand that in transmission diffraction grating, you have parallel grooves so that light can pass through and produce an interference pattern...
  28. Q

    Diffraction Grating Grooves

    A reflection grating is required that can resolve wavelengths as close as 0.02A (angstroms) in second order for the spectral region around 350 nm. The grating is to be installed in an instrument where light from the entrance slit is incident normally on the grating. If the manufacturer provides...
  29. J

    Solve Unknown Wavelength from Diffraction Grating Homework

    Homework Statement A grating with 3000 lines per cm is used to disperse green light (500nm) and another light of unknown wavelength on a screen 2 m from the grating. The linear separation between the green and unknown light on the screen in the second order is found to be 10 cm. Find the...
  30. L

    How Do You Calculate Unknown Wavelengths Using Diffraction Grating Formulas?

    For a wavelength of 420 nm, a diffraction grating produces a bright fringe at an angle of 26°. For an unknown wavelength, the same grating produces a bright fringe at an angle of 56°. In both cases the bright fringes are of the same order m. What is the unknown wavelength? ________________nm...
  31. P

    Diffraction Grating Multiple Choice Questions

    Hey, I have to answer the following multiple choice questions ... its relevant to my exam which is day after tomorrow. Can anyone please tell which options should be the answers and why... I don't have any clue about these. So please don't delete this post ... instead please help me to pass the...
  32. S

    How Does a Grating Spectroscope Work?

    I just want to make sure i got these questions answered correctly about multiple slit diffraction gratings: specifically a grating spectroscope. 1. Why is the 2nd order spectrum more "spread out" than the first order spectrum? Is it because one light wave has to travel 2 wavelengths...
  33. T

    Question on Diffraction Grating

    Hi - I'm trying a problem on diffraction grating, and I keep on getting stuck. Maybe someone can help me figure out the last step: Three, and only three, bright fringes can be seen on either side of the central maximum when a grating is illuminated with light ( wavelegnth = 490 nm). What is...
  34. U

    Young's Double Slit vs. Diffraction grating

    I've been working on my Physics work when I scanned across a section and noticed something that bothered me. The equation: d sin (thetha) = m (wavelength). d is the separation and m is an interger. However, it said to find the bright fringes of a double slit (Young's Double Slit...
  35. Reshma

    Find Out if Diffraction Grating Can Resolve Wavelengths 5800 & 5802 Angstroms

    A beam of light is incident normally on a diffraction grating of width 2cm. It is found that at 30 degrees, the nth order diffraction maximum for \lambda_1 = 5 \times 10^{-5}cm is superimposed on the (n + 1)th order of \lambda_2 = 4 \times 10^{-5}cm. 1]How many lines per cm does the grating...
  36. T

    Diffraction grating white light problem

    Hey Here is the problem, I think I may be stuck but I'll provide all the information I have so far. White light (400-700nm) is incident on a 600 line/mm diffraction grating. What is the width of the first order rainbow on a screen 2.0m behind the grating? What I figured was to use the...
  37. U

    How Does Diffraction Grating Explain the Vivid Colors in Nature?

    I am asked to describe how the theory of diffraction grating allows us to understand the extreme sharpness of irridescent colors seen coming from beetles, bird feathers, butterflies, etc. Then, explain if this occurs in all natural objects that being with the letter 'b.' I am not quite sure...
  38. D

    How Can You Calculate the Order of Maxima in a Diffraction Grating Experiment?

    Two light sources of known wavelengths (w1, w2) are displayed through a grating. The screen is a known distance apart, and the spacing between slits is also known. The final given piece of information is the distance between a maxima of the first wavelength and a maxima of the second wavelength...
  39. I

    Question about Diffraction Grating

    Hello. I just want to clarify something about the following question: WHen you receive a chest x-ray at a hospital, the rays pass through a series of parallel ribs in your chest. Do the ribs act as a diffraction grating for x-rays? My answer is yes, as the spacing between the ribs can act...
  40. S

    How Do You Calculate Light Frequency in Diffraction Grating Experiments?

    Hello everyone, My physics teacher assigned a whole bunch of homework that no one remembers how to do because we haven't taken light for a year and a half. I have gone through all of my old stuff but can't find the right unit, and what I did find isn't in enough detail. I am getting really...
  41. Crumbles

    Specular Reflection from a Reflection Diffraction Grating

    I understand that a laser beam shining onto a diffraction grating produces a 0th order, 1st order etc... diffracted beam. My question is: What is the wavelength of the specular reflection [0th order beam] off the grating in regards to the wavelength of the incident beam?
  42. S

    me in solving this Diffraction Grating Problem

    Hi! well! I am having some problems in solving the following problem: "A grating that has 800 lines per mm, the red light of the Balmer series for the Hydrogen atom has a wavelength 6563 angstrom. (a)What is "d" for the grating expressed in meteres. (b)If the grating was 1cm what is N...
  43. N

    Diffraction grating lines question

    How many lines per millimetre should the grating have if for the first order, observed at a wavelength λ = 500 nm, the reflected beam is observed at 10 deg from the normal, the incident angle being 60 deg? I've done the question and just want to know if I've done anything wrong, as my answer...
  44. P

    Angular spread in diffraction grating

    hi, i have a question here tt i hope some kind souls out there can clarify with me. if i shine a monochromatic light, let's say 500 nm, at a diffraction grating, will i onli get spectral lines, or will there be some orders which give me an angular spread? cos when u draw the graph of...
  45. P

    Can Someone Help Me Solve This Diffraction Grating Problem?

    I am stuck on a problem that is driving me crazy. Assuming the limits of visible light are 430nm-680nm, design a grating that will spread the first order spectrum through an angular range of 20 degrees. Now I have tried a couple of different ways to solve this. Let me step through my...
  46. F

    Possible that a fabric can be used as a diffraction grating

    Is it possible that a fabric can be used as a diffraction grating where in the space between strands of threads is a small fraction of a millimeter? My answer is yes. does it mean that the light can be bended due to this? I mean how come?
  47. B

    Why Does a Diffraction Grating Not Show Intermediate Intensity Patterns?

    Since I'm on a roll, http://img9.imageshack.us/img9/9734/untitled.jpg Laser shining through a diffraction grating produces several bright spots according to n \lambda = d sin\theta I was wondering when the path difference isn't equal to or a multiple of the wavelength, why don't...
  48. M

    How to Calculate the Width of Slits in a Diffraction Grating Experiment?

    Question: A set of narrow vertical slits is located a distance D from a screen. The slits are equally spaced and have the same width. The intensity pattern in the figure is observed when light from a laser passes through the slits, illuminating them uniformly. The screen is perpendicular to the...
  49. L

    First-Order Spectrum Width for Diffraction Grating

    White light containing wavelengths from 405 nm to 760 nm falls on a grating with 7510 lines/ cm. How wide is the first-order spectrum on a screen 2.29 m away? Is this correct sin theta= (1)*(4.05e-7m)/(1.33e-6m)= 0.305 theta=17.8 location= 2x(tan 17.8)= (2*2.29)*0.321=1.47m sin theta=...
  50. L

    Diffraction grating of white light

    White light containing wavelengths from 405 nm to 760 nm falls on a grating with 7510 lines/ cm. How wide is the first-order spectrum on a screen 2.29 m away? I'm not sure the way this question is worked out, but what I have so far is sin(theta)=[m*Lambda+ m*Lambda]/d d=1/7510cm=1.33e-6m...
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