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).
How do get the d spacing from XRD data, using braggs law. I am unsure how to actually obtain the value of d. I have attached the file as a text file with the data in.
Many thanks for the help.
Homework Statement
How does adding a lens behind a slit alter the diffraction pattern given you know it's focal length?
Homework Equations
I know currently that i'd look at equations such as:
y_{n} = \frac{nD\lambda}{d}
Destructive and so fourth
But what about the lens, does that...
hey all.
i was wondering what's the diffrance between quasicrystal diffraction pattern and normal crystals (single and multiple)..
where can i find some info about the diffrences?
thanks ,
alon
Hi,
I was having a flick around Google maps whilst procrastinating and came across this when I looked at some islands off the Australian coast.
I'm not 100% certain that the pattern is caused by diffraction of the waves passing through the gap between Bernier and Dorre Islands, or simply...
Hello everybody,
I'm having some trouble comprehending the following image. I am supposed to be able to deduce from the figure that the total difference in phase angle is (k-k')r. To begin with, I do not understand why for the diffracted wave the difference in phase angle is -k'*r while for the...
Hi guys,
I can't find my notes on Fresnel diffraction and I have my Optics exam on Monday...
Does anyone know how to derive F=a2/λL where L=1/z+1/z'
I've googled it to death, checked here and tried in Optics 4th edition by Hecht with no luck...
I'd really appreciate any help...
Homework Statement
Laser light of wavelength 632.8 nm falls normally on a slit that is 0.0210 mm wide. The transmitted light is viewed on a distant screen where the intensity at the center of the central bright fringe is 8.50 W/m2.
a) Find the maximum number of totally dark fringes on the...
Hi Guys, my textbook mentioned that how the equation for the minima for single slit diffraction was derived:
Consider a slit of width W with 2 light rays, one emitting from the edge, one emitting from the center. Their path difference is W/2 sin T . If the path difference is 1/2 lambda, then...
Hi, this is my first post.
I have a problem to solve:
"Given the plane (1 1 1) of 3 lattice sc, bcc and fcc, says in which case there is diffraction"
I hope that someone helps me...
Thanks for helpers
Homework Statement
How many interference fringes are visible in the central diffraction peak if the ratio of slit separation to slit width is 3.125?
Homework Equations
d*sin(θ) = m*λ for interference maxima with slit separation d, maxima are at m = 0, 1, 2, 3 ...
a*sin(θ) = m*λ for...
need simulate program for fresnel biprism diffraction(urgent)
Dear friends
I am student learning phyisics (8th term or 4th year) this is my last term and I have optic
My teacher told us that he want some programs to simulate some optice expriments like : prism - young expriment - loid...
A light passing through a lens will be focused for a converging lens.
However, to look at it carefully, it'll not converge to a single point but to a certain size. The size of it and some fringes surround it is actually a diffraction phenomenon.
I don't really understand that the usual...
So my book has an equation describing the wavelengths of light that are diffracted by a chiral nematic liquid crystal in terms of the refractive index (n), the pitch of the helix (p), and the angle (θ) with respect to the surface. The equation is this -
λ = np√((1-cos2θ)/n2)
If this isn't...
2D Aperture/Diffraction Spacing
Hi,
I have a 2D square spacing of 40um x 40um lattice. I am passing light through the spacing.
I want to know how much of the light gets through... the transmittance.
Clearly the light is being blocked by the surrounding lattice wires and the rest of the...
I know it is a simple question but I cannot find the answer. Why is the [001] diffraction peak not observed in XRD but [004] peak is observed. Thank you.
When the wavelength is bigger than an obstacle, then the sound waves bend around the obstacle.
so why
I can't imagine this at all
I read this page and watched the animations of it but it doesn't tell me the answer
http://www.acoustics.salford.ac.uk/feschools/waves/diffract.htm
reflection of...
Homework Statement
Suppose that you have a reflection diffraction grating with n=140 lines per millimeter. Light from a sodium lamp passes through the grating and is diffracted onto a distant screen. How wide does this grating need to be to allow you to resolve the two lines 589.00 and...
Homework Statement
A very thin sheet of plastic (n=1.70) covers one slit of a double-slit apparatus illuminated by 630 nm light. The center point on the screen, instead of being a maximum, is dark. What is the (minimum) thickness of the plastic?
Homework Equations
Constructive...
I'm looking for a book that might teach me how to read diffraction patterns and infer structure. I'm also interested in the history of the technique. This is mainly so I can explain it with confidence to high school students and college freshmen as a teacher.
I feel like I never really went...
Homework Statement
The same diffraction grating is used with two different wavelengths of light, λA and λB. The fourth-order principal maximum of light A exactly overlaps the third-order principal maximum of light B. Find the ratio λA/λB.
Homework Equations
sin theta = m lambda /...
Homework Statement
A zone plate is to be set up on an optical bench, where it will be used as an enlarging lens. Its innermost zone is to be 0.2250 mm in diameter and monochromatic blue-green light of wavelength 480 nm from a cadmium arc is to be used. If the magnitude of the enlargements is...
Could someone help me with the path taken by the emergent ray for blue light if it is refracted most than red light rays.the emergent ray for the red light lies on the boundary of the prism after being diffracted and forms the criticle angle(c). Is the path taken by the refracted blue light ray...
Homework Statement
White light was shone vertically down on a cd tilted 5°, with adjacent tracks d = 720 nm. An observer some distance away observes a color of light. Determine that wavelength of light observed. (Refer to picture attachment)
Homework Equations
finding path...
Homework Statement
Homework Equations n\lambda = 2dsin(\theta) The Attempt at a Solution
a)
solving for d I get
\frac{n*\lambda}{2*sin*(\theta)} = d
substituting in the first value 50.85 to solve for d, with n=1
I get d= 1.754*10^-10m
How do I solve the miller indices from the inter...
This isn't a homework question per se, I'm just wondering about something in my textbook (Halliday & Resnick) that isn't clear to me:
This figure shows intensity as a function of angle (0 degrees is the center) for three experiments that use single slits of different width.
The one on the...
Dear All,
I appreciate the efforts and support of members/admin here toward the goodness of education.
I am confusing a few concepts regarding diffraction, kindly help me out. I came up with following questions,
1. Is apperture required for diffraction or any finite wave will diffract...
Homework Statement
A diffraction grating has 4,200 rulings/cm. On a screen 2.00 m from the grating, it is found that for a particular order m, the maximum corresponding to two closely spaced wavelengths of sodium (589.0 nm and 589.6 nm) are separated by 1.54 mm. Determine the value of m...
I was wondering what occurs when light encounters a slit that happens to be smaller than the wavelength of light that's trying to go through it.
Does it just reflect back, does part of it go through thereby making the light have a shorter wavelength that matches the slit, what actually...
Homework Statement
The intensity of light I in the fraunhofer diffraction patter of a single slit is
I=I0(sin\gamma/\gamma)2 where
\gamma=\piasin\theta/\lambda
Show that the equation for the vaules of \gamma at which I is maximum is tan\gamma=\gamma
well, intensity is...
Hi, I was conducting an experiment on a material using XRD and I investigated two cases. One case is the presence of outside electric potential, that is, the material being connected to a electric circuit. The other case is the absence of this electric potential. I found that the two XRD...
Hi, I was conducting an experiment on a material using XRD and I investigated two cases. One case is the presence of outside electric potential, that is, the material being connected to a electric circuit. The other case is the absence of this electric potential. I found that the two XRD...
Homework Statement
When i see the back of a CD or DVD, there is a spectrum, in which the various colours are overlapping with each other(continuous spectrum)
Homework Equations
What is the reason for this phenomenon, diffraction or dispersion?
The Attempt at a Solution
Diffraction...
Homework Statement
The distance between crystal planes in a KCl crystal is about 3.14 \times 10 ^{-10}m. Calculate the Bragg's reflexion angle of first order for electrons with kinetic energy of 4keV. Compare it with photons that have the same energy.Homework Equations
\lambda n =2d \sin...
Hello World,
I'm suffering a lot about light diffraction and I need help
I can't really imagine the idea of diffraction
What is an Airy disk?and what does it represent?Does it represent the image of the hole at which diffraction takes place?Is that the reason why the shape of airy disk...
Hi,
I have tried tackling these question but I am simply absolutely lost...
1. A single slit of width 1.50 um is illuminated with light of wavelength 500.0 nm. Find the angular width of the central maximum.
I have no attempt for number 1.
2. Microwaves of wavelength 2.8 cm fall on...
Homework Statement
Light consisting of two nearly equal wavelengths L and L+dL, where dL << L, is incident on a diffraction grating. The slit separation of the grating is D. Show that the angular separation of these two wavelengths in the m'th order is dTheta = dL / ((D/m)2+L2)0.5...
I was wondering what occurs when a diffraction grating is produced with features smaller than a wavelength of visible light. If the pits in a CD were made to be only a few tens of nanometers wide, what would we see?
Hi,
I'll start with the background so perhaps you can understand my problem better.
I want to write some requirements for diffraction with electrons.
I know that typically an electron diffraction pattern would need ~1e6 electrons, I could justify this because I also know (and can show...
Homework Statement
A beam of monochromatic light is incident on a single slit of width 0.560 mm. A diffraction pattern forms on a wall 1.35 m beyond the slit. The distance between the positions of zero intensity on both sides of the central maximum is 2.32 mm. Calculate the wavelength of the...
Hi,
Going through a Physics problem in class today my teacher stated that we could only resolve if: θ = λ/b. Why? Is it because when that does not follow, there is no "black spot", therefore that light source can merge with another one?
Thanks,
Peter
I was curious as to how semiconductor manufacturing gets around the fact that diffraction should prevent processors with transistors on the scale of tens of nanometers from being possible.
How do we get around this if the diffraction of light is a fundamental limit to how small we can do any...
Hi there, I understand somewhat how diffraction works in terms of the aperture of a camera lens and the resulting loss in resolution in the image, but my question is:
Is the degree of diffraction only dependent upon absolute aperture size, or the size of the entrance pupil? For example, f/22...
Homework Statement
I was a asked a question from an experiment: What happens if the light shone into the diffraction grating or a double slit is not perpendicular to the diffraction grating or double slit? What will happen?The Attempt at a Solution
Straight away i can tell that the light...
When white light is passed through the slits in the grate and hits a screen some distance away from the grate, different order spectra appear. My textbook tells me that violet light is always closer to the zeroth order bright fringe than red light because it has a shorter wavelength. However...
Homework Statement
I've been reading a book about waves. I skipped the test earlier this year because I had not done any problems and thought it would be a waste of time to try. But now I kind of have to do it, I've re-read the book but it's much to understand and remember.
Especially the...
Hey guys,
In diffraction of light, why must the slit width be of comparable size to the wavelength of the light being shone on it for diffraction to be noticed most?
Thanks
When firing electrons at a small slit, does the resulting interference pattern appearing on a screen behind the slit change significantly depending on whether the electrons are "aimed" at the center of the slit compared to the edges of the slit? Any references with more info about this?
What is the mechanism of diffraction? Let's consider water waves and not light; if we consider water an aggregate of little molecules, why would a chain of molecules moving up and down (the wave) suddenly turn once passed through a slit? I hope I'm clear enough.