Diffraction Definition and 1000 Threads

Diffraction refers to various phenomena that occur when a wave encounters an obstacle or opening. It is defined as the bending of waves around the corners of an obstacle or through an aperture into the region of geometrical shadow of the obstacle/aperture. The diffracting object or aperture effectively becomes a secondary source of the propagating wave. Italian scientist Francesco Maria Grimaldi coined the word diffraction and was the first to record accurate observations of the phenomenon in 1660.

In classical physics, the diffraction phenomenon is described by the Huygens–Fresnel principle that treats each point in a propagating wavefront as a collection of individual spherical wavelets. The characteristic bending pattern is most pronounced when a wave from a coherent source (such as a laser) encounters a slit/aperture that is comparable in size to its wavelength, as shown in the inserted image. This is due to the addition, or interference, of different points on the wavefront (or, equivalently, each wavelet) that travel by paths of different lengths to the registering surface. However, if there are multiple, closely spaced openings, a complex pattern of varying intensity can result.
These effects also occur when a light wave travels through a medium with a varying refractive index, or when a sound wave travels through a medium with varying acoustic impedance – all waves diffract, including gravitational waves, water waves, and other electromagnetic waves such as X-rays and radio waves. Furthermore, quantum mechanics also demonstrates that matter possesses wave-like properties, and hence, undergoes diffraction (which is measurable at subatomic to molecular levels).

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  1. B

    Diffraction Minima: Should I Use p or p+0.5 in the Equation?

    Homework Statement I did a physics lab the other day that dealt with two slit diffraction. In my setup, I also saw two faint diffraction minima, and it is my understanding that there is also some single slit diffraction effects. I measured the position a diffraction minimum to be y= 8.775...
  2. B

    General questions about Fraunhofer diffraction

    Ok, so my book explains single-slit diffraction like this: For a single slit with width a, for every point on the wave front there is another point a/2 distance away that it can be paired with. 1) If the distance (a2)*sin(theta) is half a wavelength, the interference is destructive. So...
  3. 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...
  4. G

    Fraunhofer Diffraction Doubt

    The relation between the angles for which the minima occurs for a Fraunhofer diffraction(parallel rays, large separation between screen and slit) is derived by using the destructive interference criterion. Why isn't there any mention of the criterion for maxima? The results obtained from the...
  5. N

    Deriving the formula for double slit diffraction as in Young from Fraunhofer

    Homework Statement I apologize for the blurriness in my title, I couldn't find anything better to fit within the length limit. The problem I'm stuck with, paraphrased, is to derive the formula for the diffraction pattern of a double slit, as found in the Young experiment, from the Fraunhofer...
  6. 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
  7. T

    What Is the Correct Spacing for Diffraction Grating Lines?

    Homework Statement A diffraction grating produces a third-order maximum, at an angle of 22 degrees, for red light (694.3 nm). Determine the spacing of the lines. Homework Equations for maxima: sin θm = mλ/d where m is the order of the maxima, λ is the wavelength in nm, and d is...
  8. 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...
  9. 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...
  10. G

    Single slit diffraction / wave propagation

    I have a couple of questions about single slit diffraction. It's not a homework exercise - just a conceptual problem. Here it is (with some introductory comments)... I understand that the diffraction pattern from a single slit is the modulus squared of the Fourier transform of the aperture...
  11. E

    Solve Diffraction Question: 2 Speakers 4.0m Apart, 325Hz, 343m/s, 4.5m Away

    Homework Statement I am having difficulty with this problem because I am not quite sure where to start. A lecturer is demonstrating two-slit interference with sound waves. Two speakers are used 4.0 meters apart. The sound frequency is 325 Hz and the speed of sound is 343 m/s. Students sit...
  12. 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...
  13. Math Jeans

    Fabry-Perot interferometer diffraction

    Homework Statement A Fabry-Perot interferometer consists of two parallel half-silvered mirrors separated by a small distance a. Show that when light is incident on the interferometer with an angle of incidence \theta, the transmitted light will have maximum intensity when a = (\frac{m \cdot...
  14. A

    Product of spectra by diffraction gratings

    [b]1. Explain the physical principles of the production of spectra by diffraction gratings. include production of zero, first and second order spectrum. Homework Equations The Attempt at a Solution Diffraction and interference?
  15. B

    Gravity vs Diffraction in Troposphere of a Star

    How can we decide which process is causing light to bend near the surface of a star? Gravity is said to cause light to bend or deflect as it passes near the huge mass of a star. But matter in the troposphere of a star should also cause light to bend or deflect as it passes through the...
  16. S

    Diffraction of light and orders equation?

    Diffraction of light and orders equation?? Homework Statement A particular grating has slits of width 600nm and a slit separation of 1800nm. Will there be any missing orders if this is used to observe a line spectrum consisting of 450nm, 600nm and 650nm? Homework Equations I'm not...
  17. F

    Single-Slit Diffraction and the Effect of Refractive Index on Central Peak Width

    [SOLVED] Single-Slit Diffraction Homework Statement You have been asked to measure the width of a slit in a piece of paper. You mount the paper 80.0 centimeters from a screen and illuminate it from behind with laser light of wavelength 633 nanometers (in air). You mark two of the intensity...
  18. S

    Easy question on diffraction of light

    [SOLVED] Easy question on diffraction of light please help! Homework Statement Wavelengths are; 1 - 520nm Wavelength 2 - 520.8nm Diffraction grating - 400 lines per mm How many orders will the lines be seen in? Homework Equations N = dsin0/lamda The Attempt at a Solution d =...
  19. S

    Number of Visible Diffraction Orders on a Grating

    Homework Statement How many orders of diffraction will be visible if light of wavelength 500nm fals on a grating with 600 000 lines per metre? Homework Equations n = dsinѲ / λ The Attempt at a Solution n = 6X10⁵m ÷ 5 X 10ˉ⁷m = 1.2 So 1 order of diffraction will be visible is...
  20. 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...
  21. J

    Diffraction Problem: Solve for O

    Homework Statement http://img73.imageshack.us/img73/2750/physicsnm5.jpg Homework Equations asinO=m(wavelength) The Attempt at a Solution I don't really know where to start...
  22. P

    Exploring Diffraction Patterns from Laser & Filtered Light

    1. The problem A HeNe laser (wavelength = 633nm) is used to illuminate an opaque plate containing a a specified aperture. The light which passes through the aperture falls on a screen at a distance of 4 m from the aperture plate. c) The aperture is replaced by two long rectangular slits...
  23. P

    Optics : Diffraction gratings.

    1. I am attempting a question from a textbook but the wording or perhaps the question itself is confusing me. *Light falls at perpendicular incidence on a transmission diffraction grating. The second order diffracted light leaving the grating is examined. The grating has 600 slits per mm, a...
  24. A

    How Much Did the Mirror Move in a Michelson Interferometer Experiment?

    Homework Statement The distance between the movable mirror and the beam splitter in a Michelson interferometer is increased a small amount. What this happens, you see 200 dark fringes move across the field of view. If the incident light was 600nm, by how much was the mirror moved (in...
  25. J

    Reflection Diffraction Gratings

    My lecturer has given me this formula for reflective diffraction m landa = d (cos a - cos b) where m is order # landa is wavelength d is slit seperation a is angle of inicdence b is angle of reflection The problem I have is I wasn't given any justification of this and have...
  26. P

    Uncertainty Principle and Single-Slit Diffraction

    I'm trying to calculate the uncertainty in momentum/direction resulting purely from the certainty in position caused by a small slit, as a function of the slit width. Can anyone tell me if I'm doing this right? Starting with the HUP: dX * dP >= h/4pi dX = the slit width w P = h/lambda...
  27. B

    Calculating Diffraction Orders for a 513 line/mm Grating

    # of diffraction orders seen? Homework Statement A 513 line/mm diffraction grating is illuminated by light of wavelength 567 nm. How many diffraction orders are seen? Homework Equations The Attempt at a Solution d*sin theta = mt t = wavelength m = d*sin theta/t I don't have...
  28. R

    How Does Light Diffraction Occur in Plasma?

    [SOLVED] light diffraction in plasma This is my first post in that forum and I hope someone will help me.:redface: It is known that photons with frequency lower than the natural oscillation frequency of plasma are reflected , but those photons with slightly lower frequencies are they fully...
  29. E

    Diffraction condition and the Fourier transform

    Homework Statement My book uses the following equation to derive the diffraction condition for electromagnetic waves scattering in a crystal lattice: F= \int dV n(\mathbf{r}) \exp \left[i\Delta\mathbf{k}\cdot \mathbf{r} \right] F is the scattering amplitude and n is the electron density. I...
  30. M

    Understanding the Benefits of Gratings for Diffraction Patterns

    Homework Statement Why a grating is prefferes over a single slit for obtaining diffraction pattern ? Homework Equations The Attempt at a Solution
  31. A

    Light Diffraction: Explaining Airy Equation

    What describes Airy equation in theoretical description of light diffraction?
  32. 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...
  33. 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...
  34. P

    Diffraction Experiment - Comparing theory with my data

    Not sure if this is the right forum for this but I am analysing the data for the diffraction experiment I have just done (laser source at two slit diffraction grating) and have got the graph (similar to this http://www.physics.umd.edu/courses/Phys273/williams06/TwoSlit.jpg" ). However all the...
  35. L

    Reverse Diffraction Research: Latest Findings

    I am to give my first physics talk for a seminar class next week and I am looking for info on recent research done on the reverse diffraction phenomenon. Any links or thoughts would be appreciated. (Credible sources only please, as this is for a class).
  36. N

    Width of central maximum in a single slit diffraction pattern

    hi everybody. I have a problem in finding the width of central maximum in a single slit diffraction pattern. theoritically, we say it is the distance between the two first minima on either sides of the central maxima. i feel this calculation leads to the width of central maxima+half minima on...
  37. fargoth

    Can polarization affect diffraction?

    I know the scalar theory of light, which doesn't include polarization effects. I was taught it is quite accurate when the subject is bigger then the wavelength. But today, someone told me that by using half plates and quarter plates in an optical setup with polarized light he can transfer...
  38. J

    Maple Plotting Fresnel Diffraction Pattern with Maple

    Help with printing a string I have a theoretical plot for the fresnel diffration pattern, however i want maple to show the values plotted on the x and y cordinates. How do i do this. Please explain in simple terms heres my code > fresdi:= proc(a,b) (FresnelC(a) - FresnelC(b))^2 +...
  39. P

    How Do You Calculate the Grating Spacing in a Diffraction Problem?

    [SOLVED] Diffraction homework help Homework Statement calculate d for a diffraction grating with 600 lines/mm. Homework Equations mwavelength / d = x/ L The Attempt at a Solution well i really don't know what to solve for because i thought the diffraction grating is d.
  40. J

    Fresnel diffraction; geometrical shadow

    What is geometrical shadow qualitatively? please don't refer me to hyper physics
  41. J

    LED light diffraction, scattering

    I am constructing a 'white line detector' to use on the underside of a robot. The crucial components are an ultrabright red LED and a light-to-voltage converter. My initial idea is to leave the LED as it is, i.e. unshielded. I have to light-to-voltage converter, which is a phototransistor...
  42. A

    What causes wave diffraction and how does it impact wave behavior?

    Heya! I'm new in the forum, and here is my first entry. I don't really understand the diagram for wave difraction. Let me try to draw it... | | | | | The space between the four three lines is suppose to be the wavelength. | | | | | | | | | | The last line is suppose to...
  43. S

    Diffraction Pattern Explained: What is it?

    Diffraction pattern?? This isn't a homework problem, but something I noticed and would like to understand. Hopefully I have posted this in the right area: I have a window that faces west. The other day I noticed a perfectly circular patch of light (several inches in diameter) on the wall...
  44. 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...
  45. 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...
  46. C

    Optics - Diffraction Homework Solutions

    [SOLVED] Optics - Diffraction Hi. I was given an extra credit problem in class to derive equations related to multiple slit diffraction. I was wondering if someone wouldn't mind looking over what I have so far, and pointing me in the next direction. Thank you! Homework Statement Homework...
  47. N

    What is the dependence on w of intensity in single slit diffraction?

    Homework Statement Interesting Problem... monochromatic light of wavelength \lambda falls on a slit and is transmitted as t=1 for 0<x<(d/2) t=-1 for (-d/2)<x<0 t=0 otherwise... Define \ w =\ k(d/2) \sin\theta...[most possibly,if I can exactly remember...] Now what should be the...
  48. L

    Diffraction effects and wavelengths

    Do higher wavelength radiation have more pronounced diffraction effects than low wavelength radiation, and why is that?
  49. N

    Can Quantum Effects Impact Tennis Ball Diffraction Angles?

    Homework Statement Quantum effects are negligible in "macroscopic" world. Show than on example. A tennis ball with speed 0.5 m/s is thrown thru a window. Dimensions of a window are 1*1.5 m. Calculate vertical and horizontal diffraction angles. Homework Equations \lambda=h/p...
  50. J

    Help with single slit diffraction (fraunhoffer)

    urgent Help with single slit diffraction (fraunhoffer) why is it a minimum at a*sin (\theta) = m*\lambda, a = slit separation I would have thought if the path difference is equal to a whole wavelength then there would be constructive interference?? See...
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