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).
Hi. We all know that light will be diffracted when it goes through a slit that is around as narrow as its wavelength.
But what if a plane wave goes through a very long "tunnel" that has a radius around the same size as the its wavelength? What happens then? Do you still get diffraction?
can you please let me know if this sentence is true about optical systems or not?
"Diffraction may limit the resolution achivable by an optical system"
Thanks.
Hi, I recently made a spectroscope using a pringles tube. I basically cut a very narrow slit at the metal end and at the plastic lid end I cut a circular shape out of a CD so that it fits inside the lid (I had to strip off the silver lining of course). I have some idea of how it works but would...
Homework Statement
For poisson's spot to be observed, how accurately circular must the stop be? How is the argument for the Poisson's spot changed if the light is either; white or spatially incoherent?
Homework Equations
The Cornu spiral for the circular aperture.
The Attempt at a Solution...
Homework Statement
Homework Equations
slit width = a , slit separation = b = d (at photo),
tanQ=h/L m.λ=b.sinQ
λ.b=sinQ
B=π.d.sinQ/λ
α=π.a.sinQ/λ
Iq=Imx(cosB)^2 x (sinα/α)^2//
The Attempt at a Solution
My first move was to find intensity but I have no idea about the probability of...
Hi,
Why is that when a diffraction pattern is created through small circular opening you achieve a diffraction pattern like this;
But when we see images of a slot we see this;
From; http://hyperphysics.phy-astr.gsu.edu/hbase/phyopt/fraungeo.html#c1
Notice how the diffraction is linear -...
Simple question about this:
Say you have a wire diffraction grating. Does the incoming light excite the electrons in the metal, which scatter new light *or* does the incoming light simply pass through the "holes" in the mesh and get absorbed by the grating? I've seen it explained both ways, yet...
Homework Statement
A beam of light comprises two wavelengths is passed through a transmission diffraction grating. When viewed at an angle of 21.1° to the incident direction, the second order maximum for one wavelength is overlapped with the third order maximum for the other wavelength. The...
Homework Statement
A diffraction grating has period D, and each element of the grating consists of a pair of narrow slits separated by D/N where N is an integer.
a) Sketch the diffraction pattern when the grating is normally illuminated
b)Calculate the relative intensities $I_n$ of the various...
In my physics book, one of the basic quick quizzes checkpoints asks what happens to the central peak in a diffraction envelope when you decrease the wavelength of light (from 650 nm to 450 nm, for reference).
My understanding is that the width of the peak would decrease, while the number of...
I have an online homework question and my classmate told me the answer but I would really like someone to explain to me how that answer was determined. I do not understand. Q: Consider the electric field observed at a point O that is far from the two slits, say at a distance r from the midpoint...
Hello everyone,
I came across the following when I was reviewing diffraction gratings:
"The condition for maximum intensity is the same as that for a double slit. However, angular separation of the maxima is generally much greater because the slit spacing is so small for a diffraction grating."...
Homework Statement
A child is standing at the edge of a straight highway watching her grandparents' car driving away at a constant 22.4 m/s. The air is perfectly clear and steady, and after 8.3 minutes the car's two taillights (654 nm) appear to merge into one. Assuming the diameter of the...
I realize this is a very basic question, but I've been thinking about this for a bit and can't seem to find an answer:
When I did the electron diffraction experiment on graphite, I saw 2 rings on the fluorescent screen. The description of these rings should be given to me by Bragg Law, namely...
Homework Statement
The distance between the first and fifth minima of a single-slit diffraction pattern is 0.350 mm with the screen 45.0 cm away from the slit, when light of wavelength 550 nm is used. (a) Find the slit width. (b) Calculate the angle θ of the first diffraction minimum...
Homework Statement
A beam of 50eV electrons travel in the x direction towards a slit of width 6 micro metres which is parallel to the y direction. The diffraction pattern is observed on a screen 2 metres away.
Use the Heisenberg uncertainty principle to estimate the minimum uncertainty in the...
I had this problem on my exam and I was pretty sure i knew what to do but it couldn't come up with the right answers.
I diagrammed the problem and showed the way i tried to solve it in blue. Can someone tell me where i went wrong?
Basically i found the length the of the first maximum off the...
Homework Statement
a beam of electrons with a kinetic energy of 50eV is incident on a powdered crystal sample. A series of bright and dark rings is observed on a screen behind the sample, as shown below (a picture which shows two concentric circles with the beam passing through the center . )...
Homework Statement
A monochromatic source of light 'S' is placed at the principal focus of a convex lens 'L1'. A parallel beam of light or a plane wave front is incident on the narrow slit represented by AB (its width - 'a')
Homework Equations
So, what my teacher did was,
She showed...
1. Homework Statement
Hi,
I have to do lab experiment - estimating infrared wavelength (from remote control). My experimental setup includes CD, remote control, webcam (without IR filter, so I can see the infrared radiation), sheet of paper (I will see diffracted light spots on it) with hole...
Homework Statement
A beam of 3.55keV X-rays is directed at a crystal. As the angle of incidence is increased from zero, a first strong interferece maximum is found when the beam makes an angle of 18.0o with the planes of the crystal.
Calculated d=5.67x10-10 from this (distance between...
Homework Statement
I need to measure (with the ruler) the width the depicted sinc envelope and the period of the depicted Dirac comb light pattern.
And from the above I need to calculate the width of one slit a (i.e. aperture width) of the grating, and the period of the grating dx (i.e...
In case when we don't observe the presence of an electron at either slit, there is an interference pattern, in case we do observe there is a 2 band patter, as an electron would be a particle.
I understand that without an observation, the state of an electron in a superposition of all eigen...
Can someone please describe the diffraction orders on a nano-grating?
I am reading articles about imaging devices, and I cannot understand the diffraction orders
For example, incident wave can be mapped into a propagating wave through the -1, 0, and+1 diffraction orders.
Is any of these...
Bragg diffraction of microwaves lab.
Hey guys I have a quick question so for bragg diffraction the formula is 2dsin(theta) = n(lambda).
So I have to solve for d, which is d = n(lambda)/(2sin(theta)), but here is the problem: I'm not entirely sure what theta is, as I'm using a graph with 2 peak...
Homework Statement
A crystal composed of two fractions, one having the a cell parameters of 4.123A and the other of 3.997A are subjected to X-ray diffraction using both Cu k-alpha and a Mo k-alpha radiation. Derive the angular position of (2theta) for (100) and (110) planes.
Explain the...
Homework Statement
[/B]
A crystal composed of two fractions, one having the a cell parameters of x and the other of y are subjected to X-ray diffraction using both a Ni k-beta and a Zr b-beta radiation. Derive the angular position (2theta) for (abc) and (def) planes
Homework Equations...
I'm having trouble understanding the relationships between various variables at play in diffraction.
Say you have diffraction with one slit, two slits, and a grating as shown below.
So
1) The Amplitude of each peak is directly proportional to the intensity of the incoming waves. This makes...
Hi guys, new here.
We all know the famous "Bragg Law" and the attached schematic drawing that goes along with it of a couple of planes with a distance `d` between them. Then, a DP occurs cause of constructive interference and destructive interference which happens due to planes deep in the...
In thinking about what it would take to make a feasible invisibility cloak or holographic disguise or perfect hologram room, I've imagined something that works like this:
A light beam "image" is projected onto a device designed to refract or reflect it in all directions, but only 1 color in any...
Homework Statement
Write down the intensity equation for a two-slit interference pattern with diffraction effects included. Indicate which part originates from double-slit interference and which part from single-slit diffraction. What happens when the angle = 0Homework Equations...
I would like to see the difference between Fraunhofer and Fresnel diffraction with a homemade setup. Has anyone achieved this?
In this example, it seems that the main components are a He-Ne laser, a short-focal lens, a pinhole and an adjustable aperture.
I have some doubts about the possible...
Hi everyone, I'm little bit confuse about non destructive techniques such as XRD (X-ray Diffraction) and Raman spectroscopy, I know that both techniques can determine the crystal structure of the certain materials, and also, I know that XRD is working with the principle of emission of x-ray...
I'm writing a little bit of Mathematica code that should be able to make a reasonable powder diffraction spectrum. The algorithm is like this:
Take Bravais lattice and basis. Compute reciprocal vectors.
Compute structure factor (and its square magnitude)
Have triple nested loop that creates...
Please look at the problem.
The problem is solved for me. However, I don't understand why the angle alpha is considered to stay constant when the rays go through the lens. The ray along the distance s DOES NOT get refracted, which I agree. But the ray along the top point of the circle DOES get...
Hi all,
I was looking at previous exams and I saw a question with single slit diffraction. Please look at picture.
So, this made me think: "Wow, I never thought single slit diffraction could be applied in 2D with one pattern horizontal and the other vertical."
Then, I thought why is...
Definition/Summary
A diffraction grating is formed by an evenly spaced series of lines, slits, or other periodic array of reflective or transmissive elements. It is typically used for analyzing the spectrum or measuring the wavelength of electromagnetic waves, particularly in or near the...
Definition/Summary
Diffraction of a wave is the spreading or reflection or apparent bending when it encounters an aperture, obstruction, or opaque edge.
Diffraction by an evenly-spaced series of apertures (a diffraction grating) causes interference patterns and has the same bending or...
I am a Grade 11 student and am working on a physics research about Fraunhofer diffraction. I have 2 very basic questions (maybe kind of unprofessional). Hope someone can help.
1.Suppose a beam of coherent, monochromatic, parallel light penetrates an object, and a diffraction pattern forms on...
A slit 1.00mm wide is illuminated by light of wavelength 589nm. We see a diffraction pattern on a screen 3.00m away. What is the distance between the first two diffraction minima on the same side of the central diffraction maximum?
Hello, I am using MATLAB to simulate a Fraunhofer diffraction pattern for a given aperture, but I have a little question. Hope someone can help.
Sorry I am just a high school student and does not completely understand all mathematic deductions about Fraunhofer Diffraction on Wikipedia. I...
The power density of an electromagnetic wave is proportional to the absolute square of the electric field |E|^2 (assuming a plane wave). Here, E is a vector so the absolute square involves all three of Ex, Ey, and Ez.
In homogeneous, linear media, it's easy to show that each component of E...
Homework Statement
A source of light shines through two apertures resulting in an intensity distribution pattern on a viewing screen.
The central bright fringe is called the m=0 or zeroth order maximum.
In the schematic diagram 1, the light source is to the left of the page and the point...
Hi! I have this problem:
Homework Statement
Which combination will produce the least degree of diffraction?
A. λ of 2.0m through an opening of 1.0 cm
B. λ of 30m through an opening of 2.0 m
C. λ of 2.0m through an opening of 25 m
D. λ of 5.0nm through an opening of 45 m
The Attempt...
Hi, I having been looking on the internet and other threads and can't seem to find any detailed information on how a CD acts like a diffraction grating.
What I understand: the CD has lots of little bumps which can split up light into its various colors. These colors can interfere...
Hi all, exams soon and I'm stressing out over this small question. If anyone could guide me through, explaining why you're doing what you're doing that'd be beyond great. I posted this in the introductory thread but with no replies thought I should move it here (unsure of how to delete the other...
Hi all, exams soon and I'm stressing out over this small question. If anyone could guide me through, explaining why you're doing what you're doing that'd be beyond great.
Homework Statement
Light of wavelength λ is incident normally on a screen with a large array of slits having
equal widths...
Homework Statement
For an N = 1000 slit diffraction grating, the distance from a maxima to a minima at order p is given by:
\delta \theta = \frac{\lambda}{Np}
The centremost ##\frac{N}{2}## slit is covered, what happens to this width?
Homework Equations
The Attempt at a...
Hello my friends
I want to collect data for (xpert highscore ) that is a software for xray diffraction information. I need its datas
Can you help me?
thank you