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).
Homework Statement
I did a physics lab the other day that dealt with two slit diffraction. In my setup, I also saw two faint diffraction minima, and it is my understanding that there is also some single slit diffraction effects.
I measured the position a diffraction minimum to be y= 8.775...
Ok, so my book explains single-slit diffraction like this:
For a single slit with width a, for every point on the wave front there is another point a/2 distance away that it can be paired with.
1) If the distance (a2)*sin(theta) is half a wavelength, the interference is destructive.
So...
Homework Statement
Light passes through a 200 line/mm grating and is observed on a 1.0 m wide screen located 1.0 m behind the grating. Three bright fringes are seen on both sides of the central maximum. What are the minimum and maximum possible values of wavelength?
Homework Equations...
The relation between the angles for which the minima occurs for a Fraunhofer diffraction(parallel rays, large separation between screen and slit) is derived by using the destructive interference criterion. Why isn't there any mention of the criterion for maxima?
The results obtained from the...
Homework Statement
I apologize for the blurriness in my title, I couldn't find anything better to fit within the length limit. The problem I'm stuck with, paraphrased, is to derive the formula for the diffraction pattern of a double slit, as found in the Young experiment, from the Fraunhofer...
Homework Statement
A diffraction grating produces a third-order maximum, at an angle of 22 degrees, for red light (694.3 nm). Determine the spacing of the lines.
Homework Equations
for maxima:
sin θm = mλ/d
where m is the order of the maxima, λ is the wavelength in nm, and d is...
Homework Statement
A laser is used to illuminate a diffraction grating that has spacing of 637 lines per mm. The grating sits 11.6 cm in front of a screen. Find the distance to the first and second maxima (y1 and y2) for the laser wavelength of 643 nm. Express your answers in mm.
Homework...
Ok, so I'm going to have a lab final on diffraction gratings tomorrow, and I want to make sure I have the right idea. Basically we need to find out the wavelength of an unknown light using a diffraction grating.
So let's say the grating is perpendicular to the light, and the distance from the...
I have a couple of questions about single slit diffraction. It's not a homework exercise - just a conceptual problem. Here it is (with some introductory comments)...
I understand that the diffraction pattern from a single slit is the modulus squared of the Fourier transform of the aperture...
Homework Statement
I am having difficulty with this problem because I am not quite sure where to start.
A lecturer is demonstrating two-slit interference with sound waves. Two speakers are used 4.0 meters apart. The sound frequency is 325 Hz and the speed of sound is 343 m/s. Students sit...
"Diffraction Grating"
We did a diffraction experiment involving single slits, double slits, and a diffraction grating. Apparently the diffraction grating that we got was "different" (according to a classmate). The diffraction grating was "criss-crossed" and didn't produce any dark fringes on...
Homework Statement
A Fabry-Perot interferometer consists of two parallel half-silvered mirrors separated by a small distance a. Show that when light is incident on the interferometer with an angle of incidence \theta, the transmitted light will have maximum intensity when a = (\frac{m \cdot...
[b]1. Explain the physical principles of the production of spectra by diffraction gratings. include production of zero, first and second order spectrum.
Homework Equations
The Attempt at a Solution
Diffraction and interference?
How can we decide which process is causing light to bend near the surface of a star? Gravity is said to cause light to bend or deflect as it passes near the huge mass of a star. But matter in the troposphere of a star should also cause light to bend or deflect as it passes through the...
Diffraction of light and orders equation??
Homework Statement
A particular grating has slits of width 600nm and a slit separation of 1800nm. Will there be any missing orders if this is used to observe a line spectrum consisting of 450nm, 600nm and 650nm?
Homework Equations
I'm not...
[SOLVED] Single-Slit Diffraction
Homework Statement
You have been asked to measure the width of a slit in a piece of paper. You mount the paper 80.0 centimeters from a screen and illuminate it from behind with laser light of wavelength 633 nanometers (in air). You mark two of the intensity...
[SOLVED] Easy question on diffraction of light please help!
Homework Statement
Wavelengths are; 1 - 520nm
Wavelength 2 - 520.8nm
Diffraction grating - 400 lines per mm
How many orders will the lines be seen in?
Homework Equations
N = dsin0/lamda
The Attempt at a Solution
d =...
Homework Statement
How many orders of diffraction will be visible if light of wavelength 500nm fals on a grating with 600 000 lines per metre?
Homework Equations
n = dsinѲ / λ
The Attempt at a Solution
n = 6X10⁵m ÷ 5 X 10ˉ⁷m = 1.2
So 1 order of diffraction will be visible is...
You find two unlabelled diffraction gratings in your lab. From purchase records, you know that one grating has 5000 lines/cm, while the other has 10 000 lines/cm. Given the following equipment, describe how you would determine which is the grating with 10 000 lines/cm:
• Red laser
• detection...
Homework Statement
http://img73.imageshack.us/img73/2750/physicsnm5.jpg
Homework Equations
asinO=m(wavelength)
The Attempt at a Solution
I don't really know where to start...
1. The problem
A HeNe laser (wavelength = 633nm) is used to illuminate an opaque plate containing a a specified aperture. The light which passes through the aperture falls on a screen at a distance of 4 m from the aperture plate.
c) The aperture is replaced by two long rectangular slits...
1. I am attempting a question from a textbook but the wording or perhaps the question itself is confusing me.
*Light falls at perpendicular incidence on a transmission diffraction grating. The second order diffracted light leaving the grating is examined.
The grating has 600 slits per mm, a...
Homework Statement
The distance between the movable mirror and the beam splitter in a Michelson interferometer is increased a small amount. What this happens, you see 200 dark fringes move across the field of view. If the incident light was 600nm, by how much was the mirror moved (in...
My lecturer has given me this formula for reflective diffraction
m landa = d (cos a - cos b)
where
m is order #
landa is wavelength
d is slit seperation
a is angle of inicdence
b is angle of reflection
The problem I have is I wasn't given any justification of this and have...
I'm trying to calculate the uncertainty in momentum/direction resulting purely from the certainty in position caused by a small slit, as a function of the slit width. Can anyone tell me if I'm doing this right?
Starting with the HUP:
dX * dP >= h/4pi
dX = the slit width w
P = h/lambda...
# of diffraction orders seen?
Homework Statement
A 513 line/mm diffraction grating is illuminated by light of wavelength 567 nm. How many diffraction orders are seen?
Homework Equations
The Attempt at a Solution
d*sin theta = mt
t = wavelength
m = d*sin theta/t
I don't have...
[SOLVED] light diffraction in plasma
This is my first post in that forum and I hope someone will help me.:redface:
It is known that photons with frequency lower than the natural oscillation frequency of plasma are reflected , but those photons with slightly lower frequencies are they fully...
Homework Statement
My book uses the following equation to derive the diffraction condition for electromagnetic waves scattering in a crystal lattice:
F= \int dV n(\mathbf{r}) \exp \left[i\Delta\mathbf{k}\cdot \mathbf{r} \right]
F is the scattering amplitude and n is the electron density. I...
light wavelengths of 520nm and 630nm passes through a diffraction grating that contains 6000lines/cm. a) sketch a diagram of the image produced from m=0 to m=2. label the order of each fringe.b) calculate the angles for the first and second-order maxima that would appear on the screen. c) What...
light wavelengths of 520nm and 630nm passes through a diffraction grating that contains 6000lines/cm. a) sketch a diagram of the image produced from m=0 to m=2. label the order of each fringe.b) calculate the angles for the first and second-order maxima that would appear on the screen. c) What...
Not sure if this is the right forum for this but I am analysing the data for the diffraction experiment I have just done (laser source at two slit diffraction grating) and have got the graph (similar to this http://www.physics.umd.edu/courses/Phys273/williams06/TwoSlit.jpg" ).
However all the...
I am to give my first physics talk for a seminar class next week and I am looking for info on recent research done on the reverse diffraction phenomenon. Any links or thoughts would be appreciated. (Credible sources only please, as this is for a class).
hi everybody.
I have a problem in finding the width of central maximum in a single slit diffraction pattern. theoritically, we say it is the distance between the two first minima on either sides of the central maxima. i feel this calculation leads to the width of central maxima+half minima on...
I know the scalar theory of light, which doesn't include polarization effects.
I was taught it is quite accurate when the subject is bigger then the wavelength.
But today, someone told me that by using half plates and quarter plates in an optical setup with polarized light he can transfer...
Help with printing a string
I have a theoretical plot for the fresnel diffration pattern, however i want maple to show the values plotted on the x and y cordinates. How do i do this. Please explain in simple terms
heres my code
> fresdi:= proc(a,b) (FresnelC(a) - FresnelC(b))^2 +...
[SOLVED] Diffraction homework help
Homework Statement
calculate d for a diffraction grating with 600 lines/mm.
Homework Equations
mwavelength / d = x/ L
The Attempt at a Solution
well i really don't know what to solve for because i thought the diffraction grating is d.
I am constructing a 'white line detector' to use on the underside of a robot. The crucial components are an ultrabright red LED and a light-to-voltage converter. My initial idea is to leave the LED as it is, i.e. unshielded. I have to light-to-voltage converter, which is a phototransistor...
Heya! I'm new in the forum, and here is my first entry.
I don't really understand the diagram for wave difraction. Let me try to draw it...
| | | | | The space between the four three lines is suppose to be the wavelength.
| | | | |
| | | | | The last line is suppose to...
Diffraction pattern??
This isn't a homework problem, but something I noticed and would like to understand. Hopefully I have posted this in the right area:
I have a window that faces west. The other day I noticed a perfectly circular patch of light (several inches in diameter) on the wall...
Firstly, after thinking wether this should go in the Homework and Coursework section, I can to the conclusion, that was not the right place, as I am just wanting to expand on what I have done in a lesson.
Well, firstly we just touched on it, and I didn't really get the concept. I know that it...
[SOLVED] Diffraction Grating
Homework Statement
Find the number of slits per centimeter of a grating designed to disperse the first-order visible spectrum through an angular range of 15.0. Find also the angles at which the first-order visible spectrum begins and ends.
Homework...
[SOLVED] Optics - Diffraction
Hi. I was given an extra credit problem in class to derive equations related to multiple slit diffraction. I was wondering if someone wouldn't mind looking over what I have so far, and pointing me in the next direction. Thank you!
Homework Statement
Homework...
Homework Statement
Interesting Problem...
monochromatic light of wavelength \lambda falls on a slit and is transmitted as
t=1 for 0<x<(d/2)
t=-1 for (-d/2)<x<0
t=0 otherwise...
Define \ w =\ k(d/2) \sin\theta...[most possibly,if I can exactly remember...]
Now what should be the...
Homework Statement
Quantum effects are negligible in "macroscopic" world.
Show than on example.
A tennis ball with speed 0.5 m/s is thrown thru a window.
Dimensions of a window are 1*1.5 m.
Calculate vertical and horizontal diffraction angles.
Homework Equations
\lambda=h/p...
urgent Help with single slit diffraction (fraunhoffer)
why is it a minimum at a*sin (\theta) = m*\lambda,
a = slit separation I would have thought if the path difference is equal to a whole wavelength then there would be constructive interference??
See...