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'm not sure if I've understood my textbook correctly. Can you tell me if my current understanding is correct:
- in a single slit diffraction there's a wide central fringe which is twice as wide as all the other outer fringes
- if we had a double slit diffraction instead of a single slit...
Hi, I would like to understand how diffraction works in layman's terms. Why does a wave entering a corner or a slit (in the case of light) bend?
I found an answer here, but it doesn't make a lick of sense.
http://wiki.answers.com/Q/How_does_diffraction_work
What is a probability...
Homework Statement
The individual threads in a cloth are very close together.
Design an experiment to investigate how the rate at which water passes through the material depends on the separation of the individual threads in the material.
Available equipment...
Consider the following video...
http://www.youtube.com/watch?feature=player_embedded&v=0FGo8mi-5w4
Am I really seeing a demonstration of the HUP or am I just seeing diffraction?
In this instance, is it just different models with different terminology describing the same thing? If so, what...
Homework Statement
Buckyballs are soccerball-shaped molecules consisting of 60 carbon atoms (Mass of C60 = 1.2024×10-24 kg) with an approximate diameter of 1 nm. A beam of buckyballs with each molecule carrying a kinetic energy of 0.60 eV is normally incident on a grating with a slit with of...
I was wondering if anyone would have a link to, or have, a diagram showing light wave diffraction at an obstacle?
That is, when it collides with an obstacle, then diffracts around the corners.
It's easy to find diagrams for slot experiments, but am having problems finding a good diagram...
Homework Statement
"A beam of neutrons that emerges from a nuclear reactor contains neutrons with a variety of energies. To obtain neutrons with an energy of 0.050 eV, the beam is passed through a crystal whose atomic planes are 0.20 nm apart. At what angles relative to the original beam will...
Homework Statement
"A beam of neutrons that emerges from a nuclear reactor contains neutrons with a variety of energies. To obtain neutrons with an energy of 0.050 eV, the beam is passed through a crystal whose atomic planes are 0.20 nm apart. At what angles relative to the original beam will...
Homework Statement
Homework Equations
λ=xd/nl
The Attempt at a Solution
Im having some difficulty with the variables, is d= lines/m? and n= 27? from the 50 mark to the yellow mark. then x would be 27*(4.35*10^-6) and l would be 100cm=1m ?
Calculate the diffraction limit of the human eye, assuming a wide-open pupil so that your eye acts like a lens with diameter 0.8 centimeter, for visible light of 500-nanometer wavelength.
Is there a formula for this? There are two other parts to this question, but if I get this the others...
Homework Statement
Sound exits a diffraction horn loudspeaker through a rectangular opening like a small doorway. Such a loudspeaker is mounted outside on a pole. In winter, when the temperature is 273 K, the diffraction angle θ has a value of 11°. What is the diffraction angle for the same...
hi All,
I recently got interested in a general solution to diffraction from an object at verious distance and wavelengths. I came across the Fresnel Kirchoff formula (attached formula from Schnars, digital holography).
My problem is I cannot seem to replicate a diffraction that makes...
PIC (A)
http://imageshack.us/a/img37/941/img20130104192537.th.jpg
PIC (B)
http://imageshack.us/a/img23/5496/img20130104192554.th.jpg
I hope you can ans it in a simple way as I am just a secondary 6 student :) thx!
For pic a,
1. I dun understand why interference occurs when there is 1 slit...
I'm confused about the single slit diffraction pattern. Why are light and dark patterns? Where is the constructive and destructive interference occurring if there is just one wave?
I have a question regarding X-ray diffraction and energy conservation.
If one considers elastic scattering from a rod-like structure, the observed diffraction pattern will change as the sample is illuminated from different directions. For some directions the pattern will be point-like, and...
Does anyone have a good book that explains X-ray diffraction theory well? Stuff like interference calculations, reciprocal space, diffracted amplitudes and intensity, and the Debye formula.
Hi there. It's not actually a problem, I was just trying to figure it out, so idk if this is the right section for this post, but anyways: I've managed to derive the expression for the Fraunhofer diffraction in a single slit, such that the distance between a minimum and the central point is...
Homework Statement
Trying to find the number of diffraction maxima and the width of the whole pattern.
\lambda = 500nm
b = 2.8μm (Slit Width)
f = 100mm
r = 25mm
L = 25mm (Slit to Lens)
Homework Equations
I have the worked out the irradiance formula as:
I(\theta)=I_0...
I'm looking at the explanation for single slit Fraunhofer diffraction, in particular the location of the intensity minima. a is the slit width, lambda is the wavelength and theta is the angle. By dividing the slit into two parts and viewing the wavefront as a sum of many small sources i can see...
Hi, my friends. Today, I come up with a question suddenly. It is about Sound diffraction.
why can we hear someone's voice even when he is in a closed office. Many books says that it is because of Sound diffraction. But I can't understand. how does it happen? would you be so kind to explain it...
In the Hubble Space Telescope, light rays from a distant celestial object
(1) first passes through an aperture window of diameter 3m
(2) incident upon, and reflected by a primary mirror of diameter 2.4m
(3) reflected by a secondary mirror of diameter 0.3m to form the final image.
For the...
Hey,
I'm having trouble finding a clear answer anywhere. When you have a x-ray diffraction pattern, do the dark spots correspond to the positions of atoms? Or do they represent the position of atoms in reciprocal space or something like that? It would seem natural to assume that the peaks are...
Hello,
This is a multi-part question that stems from understanding how X-ray diffraction occurs in crystals (eg. protein crystals).
1. Diffraction occurs when Bragg's Law is satisfied, but I'm sure the waves aren't actually being reflected. The x-ray's are scattering. What type of...
Hello,
I was wondering if anybody knows of some studies or recent work showing the diffraction patterns observed when shining a laser on buckminsterfullerene. The curiosity stems from the idea that its more-or-less "spherical" structure and uniform composition might lend some intriguing (and...
In single slit fraunhofer diffraction, only the light which goes near the slit is diffracted... If it goes just through the middle it will not be... If the slit is really small would light be diffracted even if it goes through middle?And do all light waves that go near the slit diffract? Does...
Homework Statement
A set of narrow vertical slits is located a distance D from a screen. The slits are equally spaced and have the same width. The intensity pattern in the figure is observed when light from a laser passes through the slits, illuminating them uniformly. The screen is...
My group project over the next year will be on diffraction, so as part of our project plan my group needs to decide what experiments we'd like to do. I know the bare essentials of what diffraction is, but not in much depth (I'm trying to rectify this!) and was hoping for some suggestions for...
Homework Statement
A car passes you on the highway and you notice the taillights of the car are 1.22 m apart. Assume that the pupils of your eyes have a diameter of 7.1 mm and index of refraction of 1.36. Given that the car is 14.1 km away when the taillights appear to merge into a single...
Homework Statement
Plane light waves are incident on a single slit of width 2.45 cm. The second dark fringe is observed at 44.3° from the central axis. What is the wavelength of the light?
Homework Equations
θ=pλ/a... where theta is in radians, p =2 (second light minimum), and a = slit...
When the electromagnetic wave propagates in air and it meets the object with the size less than the wavelength then this wave simply pass around this object and continues its way as if this object does not exist at all.
Now imagine such situation. The antenna emit the radio waves with the...
[Lab]difference between "diffraction grating" and "linear polarizer" ?
I'm recently looking for optical devices to do some experiments at home, like diffraction and polarization, but when I turn to Amazon for the goods, I found that both the sheets I want are marked: 500 lines/mm -- diffraction...
Homework Statement
The Moon is about 4x10^8 m from the Earth and has a diameter of about 3.2x10^6 m. You want a radar which just covers the Moon with the central spot of its diffraction pattern. If the radar has a wavelength of 16.5cm , what is the diameter of the radar antenna?
Homework...
Homework Statement
Light of wavelength 588 nm illuminates a single 0.70 mm wide slit. At what distance from the slit should a screen be placed if the first minimum in the diffraction pattern is to be 1.82 mm from the central maximum?
Homework Equations
Im not sure on the equation, someone...
Homework Statement
Parallel rays of green mercury light with a wavelength of 546 nm pass through a slit covering a lens with a focal length of 60.0 cm. In the focal plane of the lens the distance from the central maximum to the first minimum is 10.2 mm. What is the width of the slit...
Hello. I have been studying interference and diffraction and one doubt has appeared. When you consider the double slit experiment forgeting the effects of diffraction you get the following equation for intensity
I^{}=4I_{0}cos^{2}(\frac{πdsin(θ)}{λ})
where d is the distance between the...
http://en.wikipedia.org/wiki/File:Doubleslit.gif
As shown in the link, diffraction is shown in the form of these kind of longitudinal waves. The diffraction pattern explains the wave interference pattern observed in the double slit experiment. However in the case of the delayed choice double...
Hello. I have been studying interference and diffraction and one doubt has appeared. When you consider the double slit experiment forgeting the effects of diffraction you get the following equation for intensity
I^{}=4I_{0}cos^{2}(\frac{πdsin(θ)}{λ})
where d is the distance between the slits...
question
1) If "d" is the grafting constant "spacing between 2 slits on a grating), hwo can we obtain the ruling (number of grooves per meter) "D"?
2) Illistrate order of diffraction
Hi guys,
I just did an experiment about electron diffraction the other day, and I had a really difficult time measuring the radii of the rings because they were quite blurred at the edges. Anyone knows why they are so blur, especially for the first (innermost) ring?
I would like to talk to someone here who has either theoretical or practical experience with not-too-thin transmission gratings.
I have the following problem. I want to compute the far-field diffraction image of an electromagnetic wave (with a wavelength in the visible spectrum) as it passes...
Homework Statement
Two diffraction gratings are stuck together, both with vertically aligned slits. Grating A has S1 slits and B has S2 slits.
What is the new equivalent grating that is the product of two of the diffraction gratings above?
(s1>s2>>>1)
Homework Equations
a. N* = 1/d...
hi All,
I got to thinking recently about diffraction; through an opaque slit for example, causes a normal diffraction pattern which is well described in texts. However, what happens when you have slit transparent to the light which is going through it. Obviously, the light passes through the...
Homework Statement
A diffraction grating with 500 lines per mm is held directly in front of the lens of a digital camera, with a bright white light source 8m away. The image recorded by the camera shows both the light source and the spectrum created by the light source. We know that the CMOS...
Homework Statement
This is not an actual problem, it is a general matter about the equation that describes the Fraunhofer diffraction;
So, for a given aperture(A), which is evenly illuminated from the left(let's say), the Electric Field complex amplitude at a point P(on the right-the screen)...
Hello experts!
I have some questions related to the X-Ray Diffraction using Laue's treatment.
I have attached some images. I have marked in red what I want to ask.
Kindly tell me where did these equations come? Is there any low level physics included too, if so then kindly guide me...
Homework Statement
Monochromatic light of wavelength 694. nm is incident on a diffraction grating with 2192 lines per centimetre. What is the highest order maximum that can be observed?
Homework Equations
dsinθ = mλ
The Attempt at a Solution
d = 2192/cm = 21.92/m
λ = 694 x 10...
i was going through the diffraction experiment and had a question that i would like to ask:
suppose i am performing the diffraction experiment using a single electron,firstly how the energy contained in electron in terms of its physical properties such as charge,angular momentum and spin can be...
Hello.
Lets say we have 2 small holes (1&2) which makes tiny light beam from the Sun's light.
(similar to laser beam)
......1|......|2...
(Sun) -> >-------------------------------------|dg|-----{order 0}-------(Earth)
......1|......|2...
|dg| is diffraction grating perpendicular to the light...
I have looked through my optics textbook and many websites about single-slit diffraction. They all end up deriving an equation that looks something like this: I = I0*(sinc(B))2, where B = (1/2)*k*b*sin(theta), k = wavenumber, b = slit width. I don't know if there's something I'm not...
I'm sure someone has tried this, and I'm sure there's a reason it's not something that is widely used, but here's a question:
Can a logical NOR gate be created by shining two lasers (an A and B input) through tiny slits (like the double-slit experiment), and determining an output at a known...