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).
I know one can find the "near field" length of an illuminated diffraction grating by calculating the Talbot Length, but I also know this is not the complete story. What happens when you have instead a light source (like a laser beam) that coherently illuminates a certain number of grating...
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I'm having a hard time understanding why diffraction grating spots are narrower than those produced by a double slit set-up. I would really appreciate a conceptual understanding but math works too.
Thank you
Hello, I know how electron diffraction works, and that if you decrease the wavelength of the electrons less diffraction occurs, so the rings are smaller, however was wondering what happens if the wavelength is increased? Is it just the opposite? More diffraction so larger rings?
I was also...
I'm working on a physical chemistry project that is a report on a paper that uses X-ray crystallography to characterize a protein. So I am studying X-ray crystallography more in depth than the book introduces, and I have a few questions that I couldn't really find answers to online.
1. How...
Homework Statement
Part (a):Sketch zeroth and first order rays. Find the angle of first order rays make to normal.
Part (b): Sketch intensity distribution at 7.5mm and 10mm.
Part (c): Explain how this is useful in understanding a microscope.
Homework Equations
The Attempt at...
For diffraction to occur in crystal, Bragg equation must be satisfied and h,k,l must be of certain combination. I would like to ask
1. How to distinguish a second order diffraction of (100) and first order diffraction of (200)? (they occurs at the same angle.)
2. How can a (200) plane...
We’ve all experienced strong versus weak radio signals while driving a car and listening to the fm radio. The fading signal could be caused from traveling too far from the radio station transmitter, or from being blocked by hilly terrain or buildings.
Lately I have been noticing something...
Sometimes I see complementarity explained as being not able to measure any wave and particle property at the same time. But it looks like in a standard double slit experiment the detector measures both particles as the interference, so the wave. The same with a single slit. If a photon is...
Homework Statement
How to derive equation (22) on page 31 of Kittel's Intro to Solid State Physics 8th edition.
The equation is: 2\vec{k}\cdot\vec{G}+G^2=0
Homework Equations
The diffraction condition is given by \Delta\vec{k}=\vec{G} which from what I can surmise is the starting...
Today I was watching the full moon while I had one eye closed. There was a vertical metal rod which, by moving my head a bit, covered the moon completely, so that no direct light could hit my eye. (Yeah... I do things like that...)
I saw a thin line of moonlight parallel to the rod right at the...
Hi, I am posting here as I can't get a satisfactory answer from google.
Could anyone explain to me why low frequency sounds diffract better than high frequnecy sounds around a corner (eg the wall of a building).
I understand the idea of 'wave diffracts more when opening is around the same...
I'm supposed to give a seminar tomorrow for my 300 level experimental physics paper. The experiments we do our reports on are pre-determined and I pulled the short straw with the most bloody complicated on here, the acousto-optic modulator. I'm trying to get my head around it and I've spend the...
What does a diffraction grating do, and what is it used for? Are there circumstances under which light must be considered a particle? When?
From wikipedia, diffraction grating is an optical component with a periodic structure, which splits and diffracts light into several beams traveling in...
Homework Statement
A double slit experiment is set up using a helium-neon laser (wavelength 633 nm). Suppose we add a small piece of glass (n = 1.50) over one of the slits. Then, the central point on the screen is occupied by what had been the m = 10 dark fringe. Determine the thickness t of...
Homework Statement
Hey everyone. Just as a preface so you all know, I'm in England studying AQA Physics A.
I'm currently studying the optional astrophysics module.
I have a problem - in all the textbooks and revision guides I have, there is a topic on diffraction of light through a grating...
Just a question about the naming of optical phenomena.
I've taken these explanations from a book I'm using:
Diffraction is when a single wave passes a slit or obstacle and spreads out. The single wave produces a diffraction pattern.
Interference is when we have more than one source of...
After searching on the web and reading a bit, I found that lenses can perform Fourier transform. All you need to do is put a transparant object in front of it, like a transparant sheet with black stripes on it and a screen behind the lens(so basically a 4f setup). The lens will then perform a...
I know that a smaller width of a gap would lead to "more diffraction", and diffraction effects are at their peak when the wavelength of the diffracted waves is equal to the gap width. But what if the gap were smaller than the wavelength? Can someone describe the diffraction pattern (if any) that...
Hi,
I was wondering how you can calculate the intensity of light produced by diffraction orders. If say a laser was incident on a diffraction grating and this split the zeroth and +-1 orders what percentage of the light intensity is within the zero and first orders and how can you work this...
What is the concept behind Diffraction, "n", Finding Dark/Bright Spots
I used the following youtube video to help me learn about the concept of diffraction but still could not make sense of my lecture notes:
(All 4 parts)
SINGLE SLIT DIFFRACTION
In order to find the minima the following...
I seem to not be able to differentiate between the two of these phenomenons. Please give me some example in daily life to show the difference between them.
Homework Statement
Visible light passes through a diffraction grating that has 900 slits per centimeter, and the interference pattern is observed on a screen that is 2.58m from the grating. In the first-order spectrum, maxima for two different wavelengths are separated on the screen by 3.16...
If I send a single wave toward a corner won't it bend around the corner? If so, how does the wavelength of that single wave (is wavelength defined for a single wave?) effect how much it bends?
Every picture/illustration I have found on diffraction shows a series of lines (plane waves)...
Hi,
I have read that light could either behave as waves or particles but not both at the same time.
What will happen if we perform the diffraction experiment, but replace the screen with a metal whose work function is small enough so electrons could be ejected from the metal? Do we see...
Homework Statement
A beam of positrons (positron ≡ antielectron) travels at 0.001% the speed of light and impinges on a slit that is 1 μm wide. Use modern units to find the angle θ between the center line and 3rd minimum of the resulting diffraction pattern. How far away (in cm) would you...
Hello,
I have to do an experiment in which I will investigate the diffraction grating of a CD
and a DVD. I want to find out the spacing of tracks on both of them and thus find how much information can be stored. Also I want to compare them (density of tracks etc.) and maybe even suggest...
Homework Statement
Is it necessary that a single slit diffraction occur with the two source having the distance of \frac{a}{2}?Are there any diffractions occur when the point source having the distance of \frac{a}{3},\frac{a}{4} and so on?
And I would like to know whether are there only...
Hello. 2 questions:
1. If a diffraction grating is smaller, approaching infinitely smaller, than the wavelength of incident light, what happens to the diffraction pattern? Does the wave still diffract at all?
2.
Wavelength is the distance between two crests of periodic motion. Imagine...
I've read that if you want light to diffract through a single slit, the slit opening must be equal too or less than the wavelength of the light. So for example, light of wavelength 600nm would diffract through a slit with width 600nm or less. Is this true? Or am I missing something. Since when I...
Homework Statement
Light from infinity strikes a diffracting grating normally with 600 lines per mm. The emitted light then passes through a lens to project visible light (400-800 nm) spectrum onto a screen that is 50mm, just enough to cover it. Find the focal length of the lens.
Homework...
Homework Statement
It's got a diagram in it so I have just attached a picture of it.
Homework Equations
nλ=2dsinθ
The Attempt at a Solution
I've really got no idea how to proceed with this one. I think you have to consider the effect of the thin film as well. Any ideas?
Homework Statement
A system of 8 slits, each separated from its neighbour by 0.05 mm, is illuminated with light of
wavelength 576 nm. Using phasor analysis, evaluate at what angle on a distant screen there is the first
minimum in intensity.
Homework Equations
The Attempt at a Solution
Ok...
Homework Statement
In a powder diffraction measurement, we obtain a measure of Bragg angles θ. (A powder sample contains small crystallines with all possible random orientations.) In a particular experiment with Al powder, the following data is obtained when X-ray radiation with wavelength λ =...
Diffraction on 1D grating is covered in many physics books. Usually they cover simple case when incident light is coming along the normal to the grating. Sometimes they present slightly more complicated case when incident light is tilted in the plane perpendicular to the stripes (left case on...
Bragg diffraction - How to make sense of it ??
Is there a way to make sense of Diffraction of X Rays without taking recourse to oversimplified concepts like "Reflection of X Rays by parallel planes" which is generally the explanation in most basic physics books. It's been a couple years since I...
Hi,
I have tried to understand powder diffraction "spectrum". What I do understand is that those diffraction peaks are peaks from ewalds sphere. What I don't understand is how one can get planes and (3d) base vectors out of that. I would really appreciate some help?
Hi all,
This is probably an error resulting from my qualitative understanding of diffraction, but in most basic descriptions of the phenomena they talk about diffraction occurring when light encounters an aperture that is equal to or smaller than the wavelength of the incident light with...
Hi Guys,
I assume you are familiar with the equations so i do not post them (please write if u want me to post them).
One of the steps to prove Kirchhoff's diffraction equation is to use Green's second identity.
This identity shows the relation between the solutions in the volume and...
Why does the size of an obstacle have to be comparable to the wavelength of radiation for diffraction effects to be noticable ? Secondly, if the size of an opening is much smaller than the wavelength of the radiation , how does the radiation interact with the opening ? Third, can the same things...
Homework Statement
Visible light passing through a circular hole forms a diffraction disc of radius 0.1mm on a screen. If X-ray is passed through the same set up, what will happen to the radius of diffraction disc?
The Attempt at a Solution
I'm really clueless regarding this question. I...
In x-ray diffraction , even though its reflection is happening , we call this as x ray diffraction. why is it so?? i don't know whether it has been discussed previously here.
(A) What kind of pattern of would you get if you shone monochromatic light on a diffraction grating? What pattern of light would you get if you shone white light on a diffraction grating?
My answer: With monochromatic light, you would get a pattern of alternating light and dark bands. With...
Homework Statement
microwave of wavelength 3 are incident to a row of parallel metal rods. The separation of the rods is 10cm. The first order diffraction is observed at 25° to the direction of the incident wave. Determine the angle between the first and the second order of diffraction maxima...
Homework Statement
1. From conservation of energy point of view if single and double slits, and diffraction grating had slits of same width, how should their overall light intestines compare
2. under what conditions can we consider double-slits intensities as approximately constant...
I'm currently in a modern physics class and one of our labs was an electron scattering experiment that required the use of a cathode ray tube and a target foil. We aim the electron beam through one of four quadrants on the target foil and measure the diameter of the ring diffraction pattern...
So my teacher regularly makes mistakes on his powerpoints and this is leaving me feeling uncertain about something he has posted. We are studying the Heisenberg uncertainty principle and discussing a situation in which an electron beam is being fired in the x direction at a small slit (length...
Homework Statement
Describe how the Fraunhofer diffraction pattern of a grating depends on:
(a) the spacing between the grating lines;
(b) the overall extent of the grating;
(c) the amplitude distribution over an individual line;
(d) the phase distribution over an individual line.
A...