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).
[b]1. Two towers built on hills are 50 km apart and the line joining those passes above a hill midway between them. what is the longest wavelength of radio waves which can be sent between the towers without serious diffraction effects caused by the central hill?
[b]2. Is the width of the...
I was wondering if diffraction of a wave can occur when the gap through which the wave passes is shorter than the wavelength itself. Then I came across this website
http://www.talktalk.co.uk/reference/encyclopaedia/hutchinson/m0015966.html
Which says that "In order for this effect to be...
I did an experiment where a red laser went through a diffraction grating
The distance between the diffraction grating to the screen is 10cm (x)
Later I measure the distance from the central dot to the first dot (4.5cm) (y)
after this I measure the distance from the central dot to the second...
Homework Statement
A single slit forms a diffraction pattern with monochromatic light. The 4th minimum of the pattern occurs at an angle of 35 degrees from the central maximum. How many bright bands are on each side of the central maximum?Homework Equations
Number of minimum brightness bands =...
Homework Statement
"A TV tube manufacturer is attempting to improve the picture resolution, while keeping
costs down, by designing an electron gun that produces an electron beam which will make
the smallest possible spot on the face of the tube, using only an electron emitting cathode
followed...
Homework Statement
I wasn't sure where to post this question. I hope I picked the right section of the forums. This is from intermediate lab. The lab is for Bragg diffraction using microwaves. The grazing angle is a measured quantity along with the voltage (which was measured using an...
Is it the same thing as Bragg diffraction, in the sense that it is caused by the photons being scattered in different directions when it hits the atoms of the solid material around the slit?
Homework Statement
Show that the equation mλ=dsinθ becomes mλ=d[ sin(θ-κ) + sin(κ) ] when the light is incident on the diffraction grating at an angle κ to the normal.
Homework Equations
The Attempt at a Solution
I am not quite sure of the answer (we are just learning this in...
Homework Statement
If light incident on a diffraction grating makes an angle η with respect to the normal of the grating, show that mλ=dsinθ becomes d( sin(θ-η) + sin(η) ) = mλ
Homework Equations
The Attempt at a Solution
I haven't done any work with diffraction gratings in a...
Homework Statement
You want to photograph a circular diffraction pattern whose central maximum has a diameter of 1.2cm . You have a helium-neon laser (λ=633nm) and a 0.13-mm-diameter pinhole. How far behind the pinhole should you place the viewing screen?
Homework Equations
Y = λx/b...
diffraction -- how does it actually work?
In diffraction for light of a single slit, i know that a bright spot appears in the center and subsidiary bright spots to the sides of the central one, but I have a hard time explaining how diffraction works.
I need some help coming to a satisfactory...
Homework Statement
What is the wavelength of the light whose first diffraction max (not counting the central max) falls at 15°,thus coinciding with the first min for red light?Width of slit=2510 nm."
It is an example problem from Halliday Resnik Krane..In which the they use the principle...
Can somebody explain to me what is the difference between double slit diffraction and double slit interference?, to me they are the same thing but my teacher says they have two different meanings, thanks.
Green and orange light pass through a diffraction grating that contains 6000 lines/cm. Compare the appearance of the fringe at m = 0 with all the others.
So far I've only dealt with light with one wavelength, so I just want to make sure I have the right thought process here for two...
Spontaneous collapse theories like GRW postulate that elementary particles have a 10 to the -16 probability per second for spontaneously collapsing in the position basis, where the collapse function involves multiplication by a Gaussian. Entanglement then guarantees that macroscopic objects are...
I have a diffraction grating through which I shined a 532 nm laser. A detector which can pan 360˚ was rotated around and picked up all of the transmitted diffraction peaks. Shown in the graph graph attached are the intensities of the peaks against the angle. My question is, is it possible to...
Homework Statement
A broad beam of light, of wavelength 683nm is sent directly down through the top plate of a pair of glass plates. The plates are 120mm long, touch at the left end and are separated by a wire of a diameter .048mm at the right end. Air between the plates act as a thin film...
What would happen to the XRD pattern if instead of having spherical atoms, we had triangular atoms? I found the optical diffraction pattern for a triangular aperture, but I'm not sure if optical diffraction patterns would be the same as XRD patterns.
Homework Statement
Consider an array of parallel wires with uniform spacing of 1.40 cm between centers. In air at 20.0°C, ultrasound with a frequency of 35.6 kHz from a distant source is incident perpendicular to the array. (Take the speed of sound to be 343 m/s.)
(a) Find the number of...
Consider a Newtonian reflector telescope:
As you can see in the image, the little secondary mirror inside the main tube is supported by an X structure called 'spider'. The four "legs" of the spider, called 'vanes' by astronomers, are actually thin stripes of high-tensile material, usually...
Hi,
I'm considering the case of diffraction by an object, with dimensions far smaller than the wavelenght of the light source. If I consider for example an sphere with radius 1nm, or a cube with edge length a≈2nm , and the usual λ≈500nm, how will the finite shape of the obstacle be of...
I couldn't find this else where so i figured id ask it here.
What is the relationship/difference between the two? To me diffraction just seems like a generalized and/or classical way to describe Heisenbergs Uncertainty principle.
So question: Are the two phenomena the same thing?
Hi Everbody,
I am having a bit of trouble with an AS Physics question regarding diffraction gratings. I have managed to solve the problem that I have been facing, although I am not completely sure that I got to it through the correct means, and also why the answer is such.
Homework...
Homework Statement
Which electromagnetic wave would cause the most significant diffraction effect for grating diffraction?
a. infra red (10-5 m)
b. micro wave (10-2 m)
c. ultraviolet (10-8m)
d. X-ray (10-10m)
Homework Equations
The Attempt at a Solution
I know the most...
Homework Statement
At a temperature of 18°C a beam of diffracted monochromatic x-rays is observed at an angle of 150.8° to the incident beam after being diffracted by a crystal with cubic structure. At a temperature of 318°C the corresponding beam makes an angle of 141.6° with the incident...
Homework Statement
Light of wavelength 680nm falls onto a single slit. The diffraction pattern is observed on a screen 50cm away. If the distance between the first and the third minima is 3mm, calculate the slit width?
Homework Equations
sin thetha = m*lambda/a
y = m*lambda*R/a...
An incandescent lightbulb produces incoherent light. But on Wikipedia, for instance, there is a picture of it producing a rainbow diffraction pattern on the diffraction grating page. But since the bulb is putting out incoherent light, it should be intensities rather than fields that add...
In this experiment, the graphite is a polycrystalline structure. That's is why we observe two intense rings. What will happen if it was a monocrystal? And why?
Thank you.
Hi,
I was wondering what the diffraction pattern would be like if the suns light is diffracted through a pin hole or double slit diffraction grating compared to that of a laser beam?
thanks.
Homework Statement
I'm having difficulty understanding why this equation makes sense for the following m values.
Homework Equations
The following is stated in my textbook.
For dark fringes,
sinθ = (mλ)/a
where λ is the wavelength of light in nanometers and a is the width of the single...
Hello,
I'm having some trouble understanding the concept of two function convolution in Fraunhofer diffraction.
Let's say I have an aperture function in the shape of some cosine function (which is always above zero), and I want to calculate the transmission function if I only illuminate 3...
Homework Statement
A grating places a spectral line of wavelength 681 nm at 12 degrees in first order. At what angle is a line of wavelength 439 nm observed in second order?
Homework Equations
I believe dsinθ= mλ
The Attempt at a Solution
This is where I get lost, I can solve...
Homework Statement
Suppose a water wave is moving from left to right in a water tank. The water tank is divided to two region (left and right) by an one-slit plastic plate. Which of the following(s) adjustment can increase the degree of diffraction of the wave ?
(1) Make the water of the...
Size of the "Diffraction grating"?
Is the size of the "Diffraction grating" related to the sharpness/brightness of the lines of spectrum which are produced by it?
Thanks.
Hi, I'm currently taking a Wave and modern physics class and we recently finished two chapt: interference and diffraction.
I'm having a hard time grasping the difference. I understand that diffraction is the expansion of light when it goes through a small opening ( it "flares" out...
Homework Statement
Homework Equations
The Attempt at a Solution
Part(a)
Diffraction is the bending of light about an aperture. To be able to resolve two distinct images, the minimum angle must satisfy the rayleigh criterion. Any angle smaller will hence affect the quality of...
Homework Statement
A lens is designed to work in the visible, near-infrared, and near-ultraviolet. The best resolution of this lens from a diffraction standpoint is
Options:
a.) the same for all wavelengths.
b.) in the near-ultraviolet.
c.) indeterminate.
d.) in the near-infrared.
e.)...
Homework Statement
4. Light from a mercury discharge lamp contains 2 yellow lines at 577 nm and 579 nm. Find the angle of diffraction for the 577 nm line in second order when passed through a grating having 2400 lines at 80 lines per mm.
What is the expected dispersion in second order in the...
Homework Statement
a narrow beam of laser light (i.e coherent monochromatic light) wavelength 630nm is incident on a grating having 300 lines per mm. a piece of paper is curved 180 degrees beyond the grating. calculate how many spots of red light should be seenHomework Equations...
Homework Statement
White light is incident normally on a diffraction grating with slit separation d of 2.00x10^-6m.
a)Calculate the angle between the red and violet ends of the first-order spectrum. The visible spectrum has wavelength between 400nm and 700nm.
b)Explain why the second and the...
If the width of the single slit is much smaller than the wavelength of a monochromatic light, until there is only one point on the wavefront can pass through it?
Thank you
Hi all,
So, I'm trying to "hit" the diffraction limit (i.e. view Rayleigh criterion, or Abbe or Sparrow criterion) with my light microscope . Bought the scope off amazon..it's a typical AmScope that has 2000x magnification limit... But the trouble is I can't find a good sample of two spots...
(My (old) background is math & computer science. I've long loved (mostly) precious opals - for their esthetics, lapidary potential, synthesis (which I've done), and how the play-of-color ("PoC") is produced.)
I recently did another couple of passes on the latter in the process of trying to...
hi..
I have been struggling, since a long time, to understand how is the diffraction pattern obtained by a slit of width of the order of the wavelength of light used is obtained, but found no answers!
As per the idea of wave theory (and Fermat's principle) it is the wave nature (specifically...
Hi all,
If we have any setup that causes diffraction with light, such as a single slit, and count the number of photons detected at a certain point behind this slit, is it true that we can determine this count as follows:
1. Consider each point in the slits a new wave source, and calculate...
Hi,
What is the difference in the setups of the Young's double slit experiment and the two slits diffraction?
I found textbooks discuss each differently, yet I found no difference in the setup.
Thanks to any help.
Homework Statement
For the diffraction grating that used to detect the wavelength of a wave, we use d sinθ= nλ.
When we find r1-r2 to get nλ.
1) What is the assumption we should make?
2)Then why r1-r2 will get λ?Homework Equations
d sinθ= nλ...