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).
In single slit diffraction the subsidary maximum has lower intensity than of central. Yes mathematically from the intensity equation we can see that. But how physically we can explain that? When the central and the 1st maxima has same activity to produce constructive interference( as in same...
Homework Statement
Light of wavelength 600 nm passes through two slits separated by 0.20 mm and is observed on a screen 1.0 m behind the slits. The location of the central maximum is marked on the screen and labeled y=0.
(I only need help on the last 2 parts, but I will list all of them in...
Homework Statement
A 600 line/mm diffraction grating is in an empty aquarium tank. The index of refraction of the glass walls is [n][/glass] = 1.50. A helium-neon laser (lambda=633 nm) is outside the aquarium. The laser beam passes through the glass wall and illuminates the diffraction grating...
Consider diffraction in a ripple tank from two narrow slits. Answer true (T) or false (F) for each of the following statements. E.g., if the first statement is true and the rest false, enter TFFF. You have 6 tries.
If the frequency of the wave source is halved, then the angle between the...
Hello community,
I'm aware of Huygens construction for helping to explain why you might possibly get diffracted waves if a plane wave passes through a gap (i.e. About the secondary wavelets and superposition bit) but the wavelength dependence bit bothers me because say one wavefront is passing...
Homework Statement
Four equally spaced coherent light sources (n=4) with a wavelength of 500nm are separated by a distance d = 0.1mm. The interference pattern is viewed on a screen at a distance of 1.4m. Find the positions of the principle interference maxima and compare their width with that...
Homework Statement
Light is normally incident on a double slit system. I'm asked to calculate the number of "orders(maxima)" visible on a screen placed in front of the slits. The light wavelength and slit separation are given. I understand that I can calculate the "order" from m=d/λ but does...
Homework Statement
An experiment using a diffraction grating with a monochromatic light source is performed to create an interference pattern on a screen.
Consider the following changes:
I. Increase the line density of the grating.
II. Decrease the frequency of the source.
III. Increase...
Homework Statement
Hi everybody! Here is the problem I am trying to solve:
a) A source illuminates a grating in a spectroscopical element so that the principal maxima appear as thin bright bands (therefore the name "spectral lines"). Show that the angular width ##\Delta \theta## of such a...
Homework Statement
One diffraction grating has 9600 lines uniformly spaced over a width of 3cm, it is illuminated by light from a mercury vapour discharge.
The other has 5000 lines/cm and is a 3.5cm grating, this one is used in the second order to resolve spectral lines close to 587.8002 nm...
In classical Physics wave theory (GCSE level) we talk about waves diffracting through a gap if the gap is similar size to (or smaller than) the wavelength of the waves.
When firing fast electrons at a carbon target (teltron tube A level type apparatus) is it sufficient to say that if the de...
Homework Statement
A) Find the diffraction order from the grating that has an angle of incidence of 40 degrees and a diffraction angle of 20 degrees. The wavelength of incident light is 500nm and the spacing between the grooves on the grating are 5 micrometers
B) If I want to selectively emit...
Homework Statement
X-rays of wavelength λ are incident on a cubic crystal with spacing d as shown in the figure. The incident angle is fixed at θi degrees. A detector is rotated from perpendicular to the 100 plane (90 degrees (grazing)) until the first maximum is detected at θs degrees due to...
Homework Statement
An interference pattern is produced by light with a wavelength 580 nm from a distant source incident on two identical parallel slits separated by a distance (between centers) of 0.480 mm .
Let the slits have a width 0.320 mm . In terms of the intensity I_0 at the center of...
In X-ray diffraction, during the experiment a X-ray beam will create an incident and diffracted beam, but what exactly is the virtual source? I may be mistaken but isn't the source the incident beam, in the attached image, it seems to suggest otherwise?
Hi all.
Just some moments ago I've experimented the diffraction phenomenon at home, in a situation I would have considered impossible. I did this because a guy that I know had experienced that too and I wanted to reproduce the experience: the diffraction from circular aperture.
As far as I know...
Homework Statement
The only things you know about the sample are: (i) it has some kind of cubic lattice, and (ii) it is a pure element. Identify the element in the crystalline sample.
SC: R = 0.5a
FCC: R = 0.25a√2
BCC: R = 0.25a√3
Distances from Bragg peaks:
d1 = 0.2037 nm
d2 = 0.1746 nm
d3...
Homework Statement
Hi,
For the Young double slit experiment, say I have a plane wavefront approaching the double slit; now, if I halve the width of one of my slits, will the amplitude of the light exiting that slit be halved as well?
Homework Equations
None directly relevant I know of, but...
Homework Statement
Calculate the grating constant, d, given that theta = 172.01167 degrees, and that lambda = 447.2 nanometers.
2. Homework Equations
d = mλ / sinθ
where m is an integer that refers to the order of diffraction
where λ is the wavelength
where d is the spacing between two slits...
Hello,
I need some assistance on a current project I'm working on.
Here is some basic background information:
I am currently trying to use a "makeshift" SLM, spatial light modulator, to impose a diffraction pattern so that when I shine a laser on it, the beam is diffracted into a donut shape...
I've been reading up on electron diffraction for electron microscopy, and I have been trying to understand the proof for the wavelength of an electron in a tunneling electron microscope. The proof I have been trying to emulate begins as follows:
It then says that I must account for...
The spacing between atomic planes in a crystal is 0.120 nm . 15.0 keV x rays are diffracted by this crystal What is the angle of first-order diffraction?What is the angle of second-order diffraction?My question is that the manual says to use 2dcosΘ=mλ instead of 2dsinΘ=mλ( bragg diffraction...
Can someone explain how the laser pointer is generating the rectangular patterns shown in this youtube video?
I assume that there are just two diffraction gratings that are rotated relative to each other, but could someone explain mathematically how to predict what pattern is formed for...
Homework Statement
A student collects diffraction data using a lamp with known emission wavelengths of 425nm, 565nm, 600nm, and 700nm. These lines appeared on her spectroscope at 32mm, 59mm, 63mm, and 69mm(all measured from the same arbitrary 0mm position). With these data she is able to...
You know when you have diffraction gratings, you have to measure the angle between center and first order/maxima right? My question is: can the angle be 90°? Or is it always less than that?
d sin θ = nλ
Thank you!
Homework Statement
An electron is moving in a parallel beam along the x-direction with momentum, p=mv. It encounters a slit of width w. Assuming that the electron gets diffracted somewhere within the central maximum of small angular magnitude Δθ, estimate the uncertainty Δp in its momentum...
I'm not sure which forum this would go into, but I'm desperate so I'll just post here.
So, I have exactly one day to make a diffraction applet. I know a lot about diffraction, nothing about making applets. I've programmed a tiny bit in python, but never made an actual project before.
Here's an...
Hair/wire laser diffraction interference pattern - does it follow single-slit or double-slit?
for single-slit interference, the equation nλ = d (y/D), (d is the width of the single-slit, y is the distance between central BRIGHT fringe to the nth DARK fringe, D is the distance from slit to...
What are the possible causes of the horizontal noise stripes in this image:
http://dsp.stackexchange.com/questions/20061/removing-periodic-noise-from-image-using-fourier-transform
I'm currently studying on these kinds of noise, and how to eliminate them. Can these be caused by diffraction...
Does anyone know if there is a way to determine the resolution of an optics system that is NOT diffraction limited. I know you can calculate the resolution of a diffraction limited system using the Rayleigh criterion, but that assumes the system is diffraction limited. Is there some way using...
Hi,
I studied undergrad pure maths now post grad philosophy, not quantum physics, but please consider the following experiment:
Suppose you set up a double slits experiment with a photon detector attached to each slit, and the photon detector attached to a photon transmitter, so the photon can...
I have a hazy idea that comes from a few video lectures (see below for example) where the following is stated:
The condition for constructive interference (Bragg condition) in reciprocal space is that the wave vector should touch a Brillouin zone boundary. In this case, the standing wave that...
Homework Statement
monochromatic light of 625 nm of wavelength falls normal to the optical bar. Total number of light lines that appear behind the bar is 11. What is the constant of the difraction bar?
Homework Equations
3. The Attempt at a Solution [/B]
I tried ##dsinx=ms## where ##s## is the...
Homework Statement
A diffraction grating gives a second-order maximum at as angle of 31° for violet light (λ = 4.0 × 10^2 nm). If the diffraction grating is 1.0 cm in width, how many lines are on this diffraction grating?
Homework Equations
d = (m)(λ)/sinθm
The Attempt at a Solution
d =...
Homework Statement
Do the maxima created by a diffraction grating all have the same intensity? Explain.
Homework Equations
mλ = wsinθ (?)
The Attempt at a Solution
According to the back of my textbook (Nelson Physics 12), the answer is no. I believe the answer may have to do with the fact...
I just learned that there is a well established theoretical picture that explains the change of momentum associated with direction change during a diffraction event, in terms of quantized momentum transfer to the diffracting object. For example, https://en.wikipedia.org/wiki/Duane's_hypothesis...
350nm falls on a single slit of width of 0.20mm. What is the angular width of the central diffraction peak?
I think that the width should be equal to 2Θ, where Θ=arcsin(m*λ/d)... m=1 and we have λ=350*10^-9 and d= 0.20*10^-6...but when i do the calculations I get 1.75 and the arcsin is a maths...
Homework Statement
What do interference and diffraction have in common? We are learning the sound waves, but I would like to know all the things they have in common.
Homework Equations
x2-x1=λ/2 (contructive)
3. The Attempt at a Solution
The waves have the same frequency, after the process...
Hello,
I'm trying to understand how can I compute a phase graph from diffraction. I will follow here Fourier transform formalism of finding the light distribution on screen after diffraction.
I'm considering a 1D problem. Suppose I have a single slit of width a. This slit can be mathematically...
I have the following optical setup, in which the goal is to record the diffraction pattern of a sample on an image detector some distance away. In this particular case, the sample is sitting on a standard microscope glass slide.
Now, after recording the diffraction pattern, I numerically...
So we have the standard diffraction equation for crystals, being: nλ = 2dsinθ. If we keep the wavelength and the lattice parameter the same then n simply depends on θ. So there must be a maximum order diffraction ring that you could obtain as once you get to 90° you're essentially going in the...
I was wondering if the diffraction pattern through a single slit could be explained as a consequence of quantisation of momentum transverse to the main direction of travel. I know that momentum gets quantised on confinement so does the confinement in a slit quantise the momentum so that only...
Homework Statement
Suppose that visible light incident on a diffraction grating with slit distance (space) of $0.01*10^{-3}$ has the first max at the angle of $3.6^{o}$ from the central peak. Suppose electrons can be diffracted with this same grating, which velocity of the electron would create...
Homework Statement
A screen with three equally spaced slits of the width b and separation a is illuminated at normal incidence with monochromatic light with wavelength lambda. A diffraction pattern is obtained at a distance L on another screen positioned behind the screen with the slits...
Homework Statement
I am trying to find the refractive index nylon (fishing line) , however when I used a laser onto the fishing line (nylon) it looked like it diffracted.
Homework Equations
I am able to find the diffraction if that was what it was showing, however I don't know how to calculate...
When reading through one of the feynman lectures (http://www.feynmanlectures.caltech.edu/II_19.html) there was a paragraph that said:
"In the case of light we also discussed the question: How does the particle find the right path? From the differential point of view, it is easy to understand...
Homework Statement
Light of wavelength λ = 535 nm shines through two narrow slits which are 670 μm apart. What is the maximum number of interference maxima which could conceivably be observed (assuming that diffraction minima do not extinguish them and the screen is arbitrarily large)?Your...
Homework Statement
The centres of two slits of width a are a distance d apart. If the fourth minimum of the interference pattern occurs at the location of the first minimum of the diffraction pattern for light, the ratio a/d is equal to:
ANS: 1/4
Homework Equations
Here are the various...