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).
Hello everyone,
It's said that the first Brilloin zone is the k-space where electrons are not diffracted. Electrons with k-vectors on the surface of BZ are diffracted.
How can we understand in terms of electron particules the behavior of electrons associated waves when these waves...
Homework Statement
Identify the following as an example of Refraction, Diffraction, or Interference
1) Rainbow pattern on a compact disk
2) The floating blotches in our eyes
3) Rainbow pattern on a beetle's back
4) The dark bands seen a a window screen
Homework Equations...
I was idly musing (as you do) and I was thinking of Fermat's principle which says that light takes the 'shortest route'. That, however, must refer to the classical situation.
Take the simplest diffraction situation of two slits - or forming the really complex diffraction pattern from a large...
Homework Statement
I did the single slit light diffraction lab. The diode laser we used was 630-680 nm. It produced an image very much like the one on this page:
http://hyperphysics.phy-astr.gsu.edu/hbase/phyopt/fraungeo.html#c1
How does having multiple wavelengths in the laser change...
an someone explain to me the symbol "m" in dsin\theta=m\lambda,
where m is the order of diffraction (or whatever it's called). I am using a fluorospectrometer at which the sin\theta is always equal to 1. This instrument can fix the excitation \lambda. The main point is that scattering of the 1st...
Homework Statement
Light with wavelengths of 520 nm and 630nm passes through a diffraction grating that contains 6000 lines/cm.
1) Calcualte the angles for the first and second order maxima that would appear on the screen
Homework Equations
sin(Theta)m = m(Lamda)/d
The Attempt at a...
Homework Statement
How to make difference between the light that has traveled through a prism and the light that has traveled through a diffraction grating when only place that is visible to the viewer is the place where the white light lands?
The Attempt at a Solution
Sorry, but i...
Hello all,
I have a basic question with the theta-2theta technique in XRD. Here it is:
If I have a single crystal material and I perform the above mentioned characterization. Should I get one diffraction peak associated to the orientation of the bulk crystal or should I get many peaks...
Homework Statement
Light emitted by Element X passes through a diffraction grating having 1200 lines/mm. The diffraction pattern is observed on a screen 75.0 cm behind the grating. Bright fringes are seen on the screen at distances of 56.2 cm, 65.9 cm, and 93.5 cm from the central maximum. No...
Homework Statement
Electrons pass through a 10-6m wide slit with a speed of 1.5 x 106m/s. How wide is the electron diffraction pattern on a detector 1 m behind the slit.
Homework Equations
\lambda=h/mv (matter waves)
asin\theta=m\lambda (path length difference for constructive...
I've done plenty of problems over the course of my degree that involve waves passing through slits of widths comparable to their wavelengths, and spreading out. As far as I'm aware though, I haven't been told what is actually going on there, just that it does happen.
I know that we can...
Hi.
I cannot understand what the order of diffraction means.
Could anybody give me some link with animation or detailed explanation?
I do not understand why it should be integer to create constructive interference?
Homework Statement
Consider the following, A collimated light source impinges on a plane diffraction grating and diffracts via the well known diffraction equation. The diffracted light is then collimated by a 1 metre focal length lens (good quality one). It is experimentally verified that the...
When light goes through a narrow single slit it diffracts. And you can explain this with the uncertainty principle or the wave-like nature of light. But if a photon can only be in one medium at a time then how does it know its going through a slit , How is it interacting with the edges of the...
Short question, but I can't figure it out - when we have a diffraction on any obstacle, which is construction of spherical Huygens waves, why the situation presents as it is shown on the first picture and not like on the second picture, what could actually be expected, as we consider spherical...
Homework Statement
[PLAIN]http://img714.imageshack.us/img714/8205/65617184.jpg
Homework Equations
I = I_{0} [\frac{sin[\pi a(sin\theta)/\lambda]}{\pi a(sin\theta)/\lambda}]^{2}
The Attempt at a Solution
Here is my attempt:
I = I_{0} [\frac{sin[\pi (50)(sin\1)/632]}{\pi...
Consider one slit white light diffraction which produces rainbow fringe - black fringe - white fringe-black fringe-rainbow fringe. That is, continuous spectrum (or...two continuous spectrums). My question is, instead of white light, project monochromatic red light. What happens then leaving all...
Homework Statement
On a screen there's a square aperture (hole) whose sides are 2a lengthy. We put a square of lengths a in the center of the hole. We illuminate the aperture with an He-Ne laser (\lambda =632.8 nm). We put a screen far from the screen with the square aperture, so that we...
Does anyone have an idea on how to build a homemade Diffraction Grating . If its too hard I could buy one there not that much. It would be cooler to build one tho.
When waves diffract through one slit why does it form a series of maxima and minima when there is no interference?...our teacher won't tell us and its really annoying me...and i have no idea why it should.
please help!
~sorry if this is in he wrong place
Homework Statement
You will need to know the spacing d between grooves on the diffraction grating used in the lab. If the this diffraction grating has 13400 grooves per inch, how many grooves per meter does it have?
Homework Equations
1 inch = 39.37 meters
The Attempt at a...
Homework Statement
From the intensities of the first-order peaks in the spectrum of a diffraction grating with monochromatic (633 nm) light shining on it, estimate the aperture size. Also known: grating constant (20 nm), distance from grating to screen (25 cm), positions of first-order peaks...
Homework Statement
Light of wavelength 490 nm is incident on a narrow slit. The diffraction pattern is viewed on a screen 3.6 m from the slit. The distance on the screen between the central maximum and the third minimum is 2 cm. What is the width of the slit?
Homework Equations
The...
Diffraction is obviously a limiting constraint on high-precision imaging instruments. But is it possible, given a known aperture shape, to remove the diffraction caused by that aperture?
At this point, I know that the diffraction pattern of an aperture or slide film brought to rear focus is...
Homework Statement
Single-slit diffraction can be observed with any type of electromagnetic wave (not just light). Suppose you want to make a diffraction slit whose width is seven times larger than the wavelength for the following cases. How wide would the slit be?
(a) A radio wave for...
A cubic crystal with a lattice constant "a" is mounted with a [100] direction parallel to the incident x-ray beam. what would be the wave length for a bragg diffraction to occur from (110) and (111) planes?
So Bragg's law is:
2d sin (theta) = n wavelength.
So my thoughts are:
This is...
I don't know why my intuition tells me that generally if a monochromatic wave goes toward an aperture smaller than its wavelength (or half its wavelength maybe), the wave can't go through the aperture. Is it true?
I don't think so now... I see no reason why it would be true. And we couldn't...
A lecturer is demonstrating two-slit interference with sound waves. Two speakers are used, 1.9 m apart. The sound frequency is 1220Hz and the speed of sound is 343 m/s. Students sit facing the speakers in a row of sear 5.4 m away. Along the row of students, what is the spacing between the...
Homework Statement
Consider a Fraunhofer diffraction pattern due to two unequal slits. Let a and b be the unequal slit widths and c the distance between their centers. Derive an expression for the intensity of the pattern for and diffraction angle \theta, assuming the arrangement to be...
Monochromatic light with a wavelength of 419 nm passes through a single slit and falls on a screen 88 cm away. If the distance of the first-order dark band is 0.29 cm from the center of the pattern, what is the width of the slit?
My knowns are as follows:
L= 88 cm (distance from slit to...
Homework Statement
http://b.imagehost.org/0607/Question_7.png
Homework Equations
[PLAIN][PLAIN]http://d.imagehost.org/0813/Untitled_6.jpg
The Attempt at a Solution
I was able to get question b, which ends up being 73pm, but as for questions a and c, I was unable to come up with...
Homework Statement
Light of wavelength 460nm falls on two slits spaced .3 mm apart. What is the required distance from the slit to a screen if the spacing between the first and second dark fringes is to be 4mm?Homework Equations
dsin(theta)=(m+1/2)lambda
where d = .3mm
y=4mm
lambda = 460nm...
Homework Statement
What is the diffraction-limited object size (at 25 cm) imposed by the numerical aperture of the eye (if the eye is a diffraction-limited optic)? Use 4mm for the iris diameter and 550 nm for the wavelength.
Homework Equations
Rayleigh criterion states: for angular...
In the book of the Dr. Ronald Askeland the problem about x-ray diffraction use the next planes indices to calculate the interplanar distance, but I don't understand why to use such planes indices? Are these planes all of planes in a cubic structure?
(111)
(200)
(211)...
Homework Statement
Show that the angular locations of the first to fourth secondary maximas are \alpha = a sin \Theta/\Lambda = 1.43030 2.45902 3.47089 4.46641 respectively.
a is the slit width = 0.00016m
\Lambda wavelength of laser 650nm
Homework Equations
I(\Theta) = I0...
How many dark fringes will be produced n either side of the central maximum if light (its wavelength is 651 nm ) is incident on a single slit that is 5.47x10^-6 m wide?
sin (theta) = m.wavelength/w
I have read that the wavelength must be according to the size of aperture to get diffraction phenomena. Considering normal incidence on the aperture,
please explain why the wavelength should be of the order of aperture, as wavelength is perpendicular to the diameter of aperture, & any wave can...
Homework Statement
A circular aperture, with diameter 3.1 mm, is illuminated by a monochromatic plain wave. On the screen, which lays 1m ahead, we observe that the center of the diffraction pattern is dark. When we start to move the screen gradually backwards, the center becomes bright, then...
Hi guys, I currently have a few doubts with diffraction grating (mostly theoretical-wise), so minimal calculations are involved.
I basically did an experiment on diffraction grating, involving looking through a diffraction grating and observing the spectra, aiming a laser beam at the grating...
I'm a novice at this quantum business and was just trying to understand the single slit diffraction experiment and when an electron's position is getting measured in particular.
Given my understanding it looks like the electron's position gets measured twice. Once when it is just about to...
Homework Statement
How do I figure out the intensity of diffraction spots after doing Bragg diffraction on a particular 2D lattice?
Homework Equations
The Attempt at a Solution
I'll guess I make 1 spot in the diffraction pattern the strongest, and the diffraction spots around it...
I need to determine the diffraction pattern of 2 different kinds of prisms.
1. For a right angled prism.
2. For a symmetric prism
For a right angled prism, the transmission function is exp[2ipixa]*rect(x/d)
where d is the base width of the prism, a is a conastant. So the diffraction...
I have a question regarding light bundles and the diffraction of waves. I've been trying to wrap my head around the processes that govern how diffraction works and it all seems to make sense to me regarding water waves and sound. If I just apply Huygens' principle that every point in a wave is...
What happens to the distance between fringes as the width of the single slit become larger? Does the distance between fringes increases? What happens to the centre bright fringe? Does it become larger with an increasing single slit width? My hunch is: Increasing the width increases the size of...
Homework Statement
It is a thing feynman doesn't explain, it is meant to be obvious, but for me and some friends is not. If you have the first book, chapter 30-6, "Diffraction by opaque screen", he is talking about the approssimation of the two path: for finite distance is h^2/s, and is...