Diffraction Definition and 1000 Threads

Homework Statement Hi everybody! Here is the problem I am trying to solve: a) A source illuminates a grating in a spectroscopical element so that the principal maxima appear as thin bright bands (therefore the name "spectral lines"). Show that the angular width ##\Delta \theta## of such a...

Homework Statement One diffraction grating has 9600 lines uniformly spaced over a width of 3cm, it is illuminated by light from a mercury vapour discharge. The other has 5000 lines/cm and is a 3.5cm grating, this one is used in the second order to resolve spectral lines close to 587.8002 nm...

In classical Physics wave theory (GCSE level) we talk about waves diffracting through a gap if the gap is similar size to (or smaller than) the wavelength of the waves. When firing fast electrons at a carbon target (teltron tube A level type apparatus) is it sufficient to say that if the de...

Homework Statement A) Find the diffraction order from the grating that has an angle of incidence of 40 degrees and a diffraction angle of 20 degrees. The wavelength of incident light is 500nm and the spacing between the grooves on the grating are 5 micrometers B) If I want to selectively emit...

Homework Statement X-rays of wavelength λ are incident on a cubic crystal with spacing d as shown in the figure. The incident angle is fixed at θi degrees. A detector is rotated from perpendicular to the 100 plane (90 degrees (grazing)) until the first maximum is detected at θs degrees due to...

Homework Statement An interference pattern is produced by light with a wavelength 580 nm from a distant source incident on two identical parallel slits separated by a distance (between centers) of 0.480 mm . Let the slits have a width 0.320 mm . In terms of the intensity I_0 at the center of...

In X-ray diffraction, during the experiment a X-ray beam will create an incident and diffracted beam, but what exactly is the virtual source? I may be mistaken but isn't the source the incident beam, in the attached image, it seems to suggest otherwise?

Hi all. Just some moments ago I've experimented the diffraction phenomenon at home, in a situation I would have considered impossible. I did this because a guy that I know had experienced that too and I wanted to reproduce the experience: the diffraction from circular aperture. As far as I know...

Homework Statement The only things you know about the sample are: (i) it has some kind of cubic lattice, and (ii) it is a pure element. Identify the element in the crystalline sample. SC: R = 0.5a FCC: R = 0.25a√2 BCC: R = 0.25a√3 Distances from Bragg peaks: d1 = 0.2037 nm d2 = 0.1746 nm d3...

Homework Statement Hi, For the Young double slit experiment, say I have a plane wavefront approaching the double slit; now, if I halve the width of one of my slits, will the amplitude of the light exiting that slit be halved as well? Homework Equations None directly relevant I know of, but...

Homework Statement Calculate the grating constant, d, given that theta = 172.01167 degrees, and that lambda = 447.2 nanometers. 2. Homework Equations d = mλ / sinθ where m is an integer that refers to the order of diffraction where λ is the wavelength where d is the spacing between two slits...

Hello, I need some assistance on a current project I'm working on. Here is some basic background information: I am currently trying to use a "makeshift" SLM, spatial light modulator, to impose a diffraction pattern so that when I shine a laser on it, the beam is diffracted into a donut shape...

I've been reading up on electron diffraction for electron microscopy, and I have been trying to understand the proof for the wavelength of an electron in a tunneling electron microscope. The proof I have been trying to emulate begins as follows: It then says that I must account for...

The spacing between atomic planes in a crystal is 0.120 nm . 15.0 keV x rays are diffracted by this crystal What is the angle of first-order diffraction?What is the angle of second-order diffraction?My question is that the manual says to use 2dcosΘ=mλ instead of 2dsinΘ=mλ( bragg diffraction...

Can someone explain how the laser pointer is generating the rectangular patterns shown in this youtube video? I assume that there are just two diffraction gratings that are rotated relative to each other, but could someone explain mathematically how to predict what pattern is formed for...

What makes an electron to change the direction after passing through the slit?

Homework Statement A student collects diffraction data using a lamp with known emission wavelengths of 425nm, 565nm, 600nm, and 700nm. These lines appeared on her spectroscope at 32mm, 59mm, 63mm, and 69mm(all measured from the same arbitrary 0mm position). With these data she is able to...

You know when you have diffraction gratings, you have to measure the angle between center and first order/maxima right? My question is: can the angle be 90°? Or is it always less than that? d sin θ = nλ Thank you!

Homework Statement An electron is moving in a parallel beam along the x-direction with momentum, p=mv. It encounters a slit of width w. Assuming that the electron gets diffracted somewhere within the central maximum of small angular magnitude Δθ, estimate the uncertainty Δp in its momentum...

I'm not sure which forum this would go into, but I'm desperate so I'll just post here. So, I have exactly one day to make a diffraction applet. I know a lot about diffraction, nothing about making applets. I've programmed a tiny bit in python, but never made an actual project before. Here's an...

Hair/wire laser diffraction interference pattern - does it follow single-slit or double-slit? for single-slit interference, the equation nλ = d (y/D), (d is the width of the single-slit, y is the distance between central BRIGHT fringe to the nth DARK fringe, D is the distance from slit to...

What are the possible causes of the horizontal noise stripes in this image: http://dsp.stackexchange.com/questions/20061/removing-periodic-noise-from-image-using-fourier-transform I'm currently studying on these kinds of noise, and how to eliminate them. Can these be caused by diffraction...

Does anyone know if there is a way to determine the resolution of an optics system that is NOT diffraction limited. I know you can calculate the resolution of a diffraction limited system using the Rayleigh criterion, but that assumes the system is diffraction limited. Is there some way using...

Hi, I studied undergrad pure maths now post grad philosophy, not quantum physics, but please consider the following experiment: Suppose you set up a double slits experiment with a photon detector attached to each slit, and the photon detector attached to a photon transmitter, so the photon can...

Homework Statement monochromatic light of 625 nm of wavelength falls normal to the optical bar. Total number of light lines that appear behind the bar is 11. What is the constant of the difraction bar? Homework Equations 3. The Attempt at a Solution [/B] I tried ##dsinx=ms## where ##s## is the...

Homework Statement A diffraction grating gives a second-order maximum at as angle of 31° for violet light (λ = 4.0 × 10^2 nm). If the diffraction grating is 1.0 cm in width, how many lines are on this diffraction grating? Homework Equations d = (m)(λ)/sinθm The Attempt at a Solution d =...

Homework Statement Do the maxima created by a diffraction grating all have the same intensity? Explain. Homework Equations mλ = wsinθ (?) The Attempt at a Solution According to the back of my textbook (Nelson Physics 12), the answer is no. I believe the answer may have to do with the fact...

I just learned that there is a well established theoretical picture that explains the change of momentum associated with direction change during a diffraction event, in terms of quantized momentum transfer to the diffracting object. For example, https://en.wikipedia.org/wiki/Duane's_hypothesis...

350nm falls on a single slit of width of 0.20mm. What is the angular width of the central diffraction peak? I think that the width should be equal to 2Θ, where Θ=arcsin(m*λ/d)... m=1 and we have λ=350*10^-9 and d= 0.20*10^-6...but when i do the calculations I get 1.75 and the arcsin is a maths...

Homework Statement What do interference and diffraction have in common? We are learning the sound waves, but I would like to know all the things they have in common. Homework Equations x2-x1=λ/2 (contructive) 3. The Attempt at a Solution The waves have the same frequency, after the process...

Hello, I'm trying to understand how can I compute a phase graph from diffraction. I will follow here Fourier transform formalism of finding the light distribution on screen after diffraction. I'm considering a 1D problem. Suppose I have a single slit of width a. This slit can be mathematically...

why in fraunhoffer diffraction a lens is used

I have the following optical setup, in which the goal is to record the diffraction pattern of a sample on an image detector some distance away. In this particular case, the sample is sitting on a standard microscope glass slide. Now, after recording the diffraction pattern, I numerically...

So we have the standard diffraction equation for crystals, being: nλ = 2dsinθ. If we keep the wavelength and the lattice parameter the same then n simply depends on θ. So there must be a maximum order diffraction ring that you could obtain as once you get to 90° you're essentially going in the...

I was wondering if the diffraction pattern through a single slit could be explained as a consequence of quantisation of momentum transverse to the main direction of travel. I know that momentum gets quantised on confinement so does the confinement in a slit quantise the momentum so that only...

Homework Statement Suppose that visible light incident on a diffraction grating with slit distance (space) of $0.01*10^{-3}$ has the first max at the angle of $3.6^{o}$ from the central peak. Suppose electrons can be diffracted with this same grating, which velocity of the electron would create...

Homework Statement A screen with three equally spaced slits of the width b and separation a is illuminated at normal incidence with monochromatic light with wavelength lambda. A diffraction pattern is obtained at a distance L on another screen positioned behind the screen with the slits...

Homework Statement I am trying to find the refractive index nylon (fishing line) , however when I used a laser onto the fishing line (nylon) it looked like it diffracted. Homework Equations I am able to find the diffraction if that was what it was showing, however I don't know how to calculate...

When reading through one of the feynman lectures (http://www.feynmanlectures.caltech.edu/II_19.html) there was a paragraph that said: "In the case of light we also discussed the question: How does the particle find the right path? From the differential point of view, it is easy to understand...

Homework Statement Light of wavelength λ = 535 nm shines through two narrow slits which are 670 μm apart. What is the maximum number of interference maxima which could conceivably be observed (assuming that diffraction minima do not extinguish them and the screen is arbitrarily large)?Your...

Homework Statement The centres of two slits of width a are a distance d apart. If the fourth minimum of the interference pattern occurs at the location of the first minimum of the diffraction pattern for light, the ratio a/d is equal to: ANS: 1/4 Homework Equations Here are the various...

Homework Statement Write an experiment to demonstrate the diffraction of a sound wave and specify what has to observe to conclude that wave has been diffracted Homework EquationsThe Attempt at a Solution I know that we've to create diffraction by using a speaker and a slit and a microphone...

Homework Statement A narrow slit is illuminated by a collimated 633-nm laser beam as shown in the figure below. This produces a diffraction pattern on a screen, which is 6 m away from the slit as shown in the figure below. The distance between the centres of the first minima outside the central...

1. A real inverted image I of an object O is formed by a certain lens (not shown); the object—image separation is d = 40.0 cm, measured along the central axis of the lens. The image is just half the size of the object, a. What kind of lens must be used to produce this image? b. How far from the...

Diffraction theory is formulated with the time-frequency Fourier Transform of the electric field. Namely, if our field is ##u(\mathbf{r},t)## then diffraction theory expresses integrals using the field ##u(\mathbf{r},\omega)##. When we consider Fresnel and Fraunhofer diffraction for an incident...

First of all i will post a picture of it ... you can find it ... somewhere sorry this is my first post :I I photographed our television with the flash on in order to recreate a strange patter i saw when looking at the suns reflection in the screen.(with my eyes it's not just the camera) You can...

Homework Statement Briefly state one characteristic of single-slit /double-slit/diffraction grating interference pattern that allow you to clearly distinguish one from the others. Homework Equations NoneThe Attempt at a Solution Single-slit: Taller, broader central maximum.Double-slit: More...

For the sake of simplicity let's suppose I'm talking about the diffraction of light through one slit. Are the distances between any two consecutive fringes (apart from the central maximum) exactly equal? Assuming the wavelength, slit width, and distance between slit and screen do not change...

Homework Statement "A source emits light with two monochromatic components of wave-lengths λ1 = 510.50 nm and λ2 = 510.90 nm. Using the Rayleigh criterion, find the minimum number of slits of a grating that must be illuminated by a beam from the source in order to resolve these components."...

Will a laser diffract through a single slit if the laser beam width is smaller than the slit? Such that the laser beam can pass though without touching the sides.