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).
Parallel laser light with wavelength 633 nm are incident perpendicular against a double slit. 2.50 m behind the double slit is a screen where the pattern can be seen (link below). Determine with the help of the figure the slit-with and slit-distance...
Homework Statement
The X-rays diffraction diagramm of a cubic crystal shows lines for the following angles 2 \delta = 31.47º, 39.74º, 47.58º, 64.71º and 77.59º when the X-rays have a wavelength of 1.54 \times 10 ^{-10}m.
Determine the crystal stucture of the net, the Miller indices of the...
I was having a discussion with someone far more expert than I and for whom I have a lot of respect. He was telling me that the path loss of a radio signal from A to B is not necessarily the same as it is from B to A. One of the reasons he mentioned is diffraction over a knife edge which in...
Homework Statement
Got a question in a school examination, but here's the part I want to ask.
How does the number of slits per unit length, affect the intensity of the diffraction pattern?
What I do know is that the finer the slit separation, the wider the angle opens up.
But intensity is...
Homework Statement
Question:
Blue light of wavelength 485.6nm from a star is incident normally on a diffraction grating. The light is diffracted into a number of beams, as shown in Fig 5.4.(attached)
The angular separation of the two second-order beams is 45.72 degrees.
Calculate the...
Homework Statement
A monochromatic plane wave is normally incident on a diffraction grating with 105 lines/m. For what visible wavelengths would this grating produce a maximum at 11°.
Homework Equations
d*sinθ = m*λ
The Attempt at a Solution
d = 1 x 10-5 m
I don't get how to...
Question: Light from a slit passes through a transmission diffraction grating of 475 lines/mm, which is located 2.8m from a screen. What are the distances on the screen (from the unscattered slit image) of the three birghtest (first-order, n=1) hydrogen lines for red 657nm, blue-green 486nm...
Thin film diffraction -- need help to start
Homework Statement
I attached a picture of the problem, could anyone tell how I would begin to proceed with this problem? I believe that it is more complicated than simply a Snell's law problem, due to the thin film of oil.
Thanks for your...
I find this hard to believe.
I do not have access to the Nature article below.But would like to know more detail of what was done or see a copy of the Nature article.
Wikipedia: "In 1999, the diffraction of C60 fullerenes by researchers from the University of Vienna was reported" ...
θHomework Statement
Two gratings A and B have slits separations dA and dB, respectively. They are used with
the same light and the same observation screen. When grating A is replaced with grating B, it is
observed that the first-order maximum of A is exactly replaced by the second-order...
Homework Statement
When a monochromatic light of wavelength 600 nm is viewed 2 m away through a diffraction grating, two similar lamps are observed, one on each side of it, and each 0.30 m away from it. Calculate the number of lines in the grating
Homework Equations
sinθ = (n*λ)/d...
Homework Statement
What is the angle of the first order diffraction, m=1, when X-rays diffract from a crystal in which a spacing between atomic planes is 0,175nm? The 2nd diffraction, m=2, occurs at 45o.
Homework Equations
Δr=2dcosθm=mλ
m+1/m = cos45/cosθm , because when the m...
Question:
What is the highest order of interference maximum that can occur when monochromatic light with a wavelength of 560 nm illuminates a diffraction grating with 4000 lines/cm?
Attempt:
I thought this seemed really easy, but my answer was incorrect.
λ=560nm
Since there are 4000 lines...
Homework Statement
Monochromatic beam of incident light on the surface of the glass wedge,
whose upper edge is inclined at an angle of γ = 0.05 ° from the base. In reflected light
observe a number of interference fringes, the distance between adjacent
dark streaks is △X = 0.21 mm. Calculate...
Homework Statement
A single slit, 1400 nm wide, forms a diffraction pattern when illuminated by monochromatic light of 490 nm wavelength. The largest angle from the central maximum at which the intensity is zero is closest to:
A) 44° B) 38° C) 35°
d = 1400 nm, lambda = 490 nm...
Homework Statement
A diffraction grating is ruled with 500 lines/mm and
is 1 mm in width. Calculate the angular width of
the intensity peaks to the first minimum in the
Fraunhofer diffraction pattern of this grating, when
illuminated with light of λ = 600 nm.
Homework Equations
n-...
Homework Statement
I am trying to make a study pack, and there is something I am not able to find an example of, a simple example.
"Be able to calculate the positions of minima and maxima in the two slit pattern for electrons, or in the diffraction pattern of electrons passing through a...
Homework Statement
A grating has 728 lines per centimeter. Find the angles of the first three principal maxima above the central fringe when this grating is illuminated with 680 nm light.
Homework Equations
Our teacher briefly told us that N = # of slits / cm
and that d sin θ = mλ, and...
Hi all,
I am trying figure out this diffraction problem.
I have to find the intensity distribution of a four slit fraunhofer diffraction grating using the convolution theorem. I can do the math and all...but I do not know how to start it! The only information I am given is the slits have...
Homework Statement
This question is pretty interesting, but a bit long, so bear with me
http://www.xtremepapers.com/CIE/International%20A%20And%20AS%20Level/9702%20-%20Physics/9702_w07_qp_2.pdf
question 5 part c
For (i) The width of each slit is increased but the separation remains...
Homework Statement
Im having a bit trouble with diffraction gratings lately, with sums like this:
A parallel beam of light of wavelength 450 nm falls normally on a diffraction grating which has
300 lines /mm.
What is the total number of transmitted maxima?
A 7
B 8
C 14...
I've asked this question about 4 times on yahoo but no one seems to have the brains to answer it!
Looking at the diagram:
Just trying to get a better understand of "λ = asin Ѳ"
I've marked what I think is the wavelength...can someone please advise? as I'm trying to get a report done...
Homework Statement
A beam of monochromatic light of wavelength 500 nm falls normally on a diffraction grating. What is the spacing between slits on the grating if a first order maximum is observed at 32o?
a. 2.88 m
b. 0.944 m
c. 0.750 m
d. 0.500 m
e. 0.250 m
Homework Equations...
Homework Statement
A very large diffraction grating has an amplitude transmission aperture function A(x) = 1/2[1+cos(kx)]e^(-x^2/a^2)
a) What is the far-field irradiance diffraction pattern when a >>1/k
B) Plot the pattern
c) Using the appropriate resolving criteria, find the grating's...
Hi there,
My textbook says "When a beam of high energy electrons is directed at a thin solid sample of an element, the incident electrons are diffracted by the nuclei of the atoms in the foil."
What does this mean exactly? Are the atoms diffracted by the gap between different nuclei?
It...
While I was reading an article about diffraction of light on Wikipedia(http://en.wikipedia.org/wiki/Diffraction), I had some doubts about it.
On the formalism of the angular position of the first minima, it assumes that the light from a source located at the top edge of the slit interferes...
http://asymmetricphotons.davehewitt.com/__oneclick_uploads/2012/03/asymm.JPG
While playing with lasers in a simple home setup, I have produced asymmetrical diffraction patterns and have been unable to locate explanations in the public domain. By using a green led laser and two parallel panels...
In a double-slit experiment electrons are sent through a doule slit where an indicator determines the slit each electron went through. These indicators tell the y coordinate to within d/2, where d is the distance between the slits. If this is the case show that the diffraction pattern will be...
Homework Statement
The figure shows 1.0*10^-6 m diameter dust particles in a vacuum chamber. The dust particles are released from rest above a 1.0*10^-6 m diameter hole, fall through the hole (there's just barely room for the particles to go through), and land on a detector at distance d...
i understand that when we shoot x-rays at a object, it will scatter in accordance to bragg's reflection law.
as such we position the detector as per the picture below
my question is , for the production of characteristic x-rays, does bragg's reflection law still holds? and why does...
I've searched online and on the forum but still can't find an explanation or mechanism behind why diffraction is dependent upon wavelength.
For example, assume a water wave that diffracts around a small boat (smaller than the wavelength). The degree of diffraction decreases as the boat gets...
Homework Statement
http://www.xtremepapers.com/CIE/International%20A%20And%20AS%20Level/9702%20-%20Physics/9702_s02_qp_2.pdf
question no. 7b
Homework Equations
dsin∅=nλ
The Attempt at a Solution
I subtracted the two angles and got 26 degrees. So then I plugged...
i wonder how we can describe the degree of diffraction of waves in a single slit in a mathematical formula , with the variables , wavelength and slit width ...my attempt to it is to use the equation for double-slit interference(or plane transmission grating) , namely 'd sin theta=n lambda'...
Homework Statement
A laser with monochromatic light of frequency 6.33 × 10^14 Hz is fired through a diffraction grating.
If the first minimum in this diffraction pattern coincides with the position of the second order that was seen in the previous diffraction pattern, what is the width of...
Homework Statement
A single slit forms a diffraction pattern with monochromatic light. The 6th minimum of the
pattern occurs at an angle of 23° from the central maximum. The number of bright bands on
either side of the central band is closest to:
A) 16 B) 13 C) 14 D) 15 E) 17
Homework...
Homework Statement
A Fraunhofer diffraction pattern is produced on a screen 218 cm from a single slit. The distance from the center of the central maximum to the first-order maximum is 7620 times the wavelength (lambda). Calculate the slit width. Answer in __m
Homework Equations...
Hi.
The grating equation says n x λ = d sinθ. Where d = 1/N (the nymber of slits per unit length.)
Using the equation and solving for a grating with large number of slits gives the result that the diffraction pattern should have a greater angle of deviation from central maximum for...
I've been studying waves and diffraction has come up, I'd just like to know, why is it that diffraction is most significant when the size of a gap a wave passes through is similar to the wave length?
Homework Statement
Consider a metal with an BCC crystal structure and atomic weight 92.91. When monochromatic x-radiation having a wavelength of 0.14 nm is used, the angle of diffraction (2*theta) for the (211) set of planes in this metal occurs at 41.148 ° (first-order reflection)...
Whatt happens during destructive interference of electrons. Two electrons(waves) combine and cancel each other out so no dot is produced on the screen?? Then where did the electrons go?
First of all : How is a dot created on the screen? - is it because of the wave nature of electron or...
Homework Statement
In an experimental setup (shown in attachment) like this for neutron diffraction, how do I find the wavelength of the neutron. It should be around 2nm.
Homework Equations
\lambda = \frac{h}{mv}=\frac{396}{v}
The Attempt at a Solution
I am having trouble with...
Homework Statement
hi,
my problem isn't exactly mathematical. I am currently making a presentation on diffraction and interference and its asked me to make overheads containing
main concept, scientific and theoretical background and other topics
im confused on the difference between the...
How do crystallographers go from a diffraction pattern to actually determining the structure of the crystal?
http://pwatlas.mt.umist.ac.uk/internetmicroscope/micrographs/microscopy/decr5a-a-big.jpg
Homework Statement
The number of lines per metre in a grating is 500,000, calculate grate spacing.
The wavelength of light going through the grating is 600nm, what is the angle of the first order?
What is the frequency of the light is it's speed is 3 x 10^8 m/s?
Homework Equations
The...
1. Homework Statement
I'm choosing an angle for a diffraction grating such that a laser of particular wavelength λ is retroreflected (reflected back along incident path).
2. Homework Equations
If you have a better way than using the equation below, feel free to explain. The book that I'm...
I'm choosing an angle for a diffraction grating such that a particular wavelength λ is retroreflected (reflected back along incident path). The book that I'm looking through treats the blazed diffraction grating as a set of N slits. This results in the equation...
Hi
In the Diffraction Handbook http://gratings.newport.com/library/handbook/chapter6.asp#6.2.4 it says:
A grating used in the Littrow or autocollimating configuration diffracts light of wavelength λ back along the incident light direction (Figure 6-4). In a Littrow monochromator, the...
I've been asking myself this question that is not entirely clear to me: the Bragg condition used to describe the constructive interference of waves on a crystal is based on the assumption of reflection. However, x-rays diffract on a crystal rather than reflect, so theoretically there is always...
Hi
In lab classes today I worked with diffraction gratings, but there is one thing I can't quite seem to understand. If we deal with ruled diffraction gratings, then they are blazed at angle such that the first order is reflected back at the same angle as the incident angle with a specific...