Scattering Definition and 918 Threads

Scattering is a term used in physics to describe a wide range of physical processes where moving particles or radiation of some form, such as light or sound, is forced to deviate from a straight trajectory by localized non-uniformities (including particles and radiation) in the medium through which they pass. In conventional use, this also includes deviation of reflected radiation from the angle predicted by the law of reflection. Reflections of radiation that undergo scattering are often called diffuse reflections and unscattered reflections are called specular (mirror-like) reflections. Originally, the term was confined to light scattering (going back at least as far as Isaac Newton in the 17th century). As more "ray"-like phenomena were discovered, the idea of scattering was extended to them, so that William Herschel could refer to the scattering of "heat rays" (not then recognized as electromagnetic in nature) in 1800. John Tyndall, a pioneer in light scattering research, noted the connection between light scattering and acoustic scattering in the 1870s. Near the end of the 19th century, the scattering of cathode rays (electron beams) and X-rays was observed and discussed. With the discovery of subatomic particles (e.g. Ernest Rutherford in 1911) and the development of quantum theory in the 20th century, the sense of the term became broader as it was recognized that the same mathematical frameworks used in light scattering could be applied to many other phenomena.
Scattering thus refers to particle-particle collisions between molecules, atoms, electrons, photons and other particles. Examples include: cosmic ray scattering in the Earth's upper atmosphere; particle collisions inside particle accelerators; electron scattering by gas atoms in fluorescent lamps; and neutron scattering inside nuclear reactors.The types of non-uniformities which can cause scattering, sometimes known as scatterers or scattering centers, are too numerous to list, but a small sample includes particles, bubbles, droplets, density fluctuations in fluids, crystallites in polycrystalline solids, defects in monocrystalline solids, surface roughness, cells in organisms, and textile fibers in clothing. The effects of such features on the path of almost any type of propagating wave or moving particle can be described in the framework of scattering theory.
Some areas where scattering and scattering theory are significant include radar sensing, medical ultrasound, semiconductor wafer inspection, polymerization process monitoring, acoustic tiling, free-space communications and computer-generated imagery. Particle-particle scattering theory is important in areas such as particle physics, atomic, molecular, and optical physics, nuclear physics and astrophysics. In Particle Physics the quantum interaction and scattering of fundamental particles is described by the Scattering Matrix or S-Matrix, introduced and developed by John Archibald Wheeler and Werner Heisenberg.Scattering is quantified using many different concepts, including scattering cross section (σ), attenuation coefficients, the bidirectional scattering distribution function (BSDF), S-matrices, and mean free path.

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  1. D

    Variable scattering frequency based on bulk plasma flow?

    Recently, in my research, a question has arisen about the modification of the scattering frequency of a photon by a population of electrons, if those electrons are flowing at a considerable fraction of the speed of light. Intuitively, to me, it seems that if a photon is directed into a...
  2. V

    Is the Last Scattering Surface Finite or Infinite?

    This came up when I was trying to explain how we receive light from decoupling era: I know that the CMB we are getting is from some Last Scattering Surface (LSS) and this surface is moving back in time in some sense. But the question is: will there come a time that we are past the decouping era...
  3. C

    Understanding Light Scattering: The Role of Nitrogen Molecules

    Why does a light scatter when it interacts with a nitrogen molecule. I have read about Rayleigh and mie scattering , I was told that the photons are not getting absorbed and re-emitted by the nitrogen, So when i shoot photos into a jar of nitrogen why does it change the photons path , is...
  4. E

    Resolution in scattering experiments

    Here are two exercises: 1. ) The proton radius is 0.8fm. What energy electron beam do you need for this resolution, if the target is liquid H2? 2.) A pion radius is 0,65fm. What energy pion beam do you need for this resolution by scattering on the electrons of a stationary target(pi-e...
  5. J

    How Is Equation 15.5.7 Derived in Schaum's Outline of Quantum Mechanics?

    in Schaum's Outline of Theory and Problems of Quantum Mechanics how did they got eq 15.5.7
  6. R

    Compton Scattering experiment help

    Homework Statement What parts of the Compton Collision experiment can be explained using classical models and which require the "photon" model? Anyone can help me with this question?
  7. R

    Yukawa force versus scattering amplitude

    When does the Yukawa potential apply and when does the scattering matrix apply? Take QED for example. When calculating a scattering amplitude, you have an expansion in powers of the fine structure constant, 1/137. Where does Coulomb's law F=e^2/r^2 come in? As far as I can tell, all...
  8. C

    Why Does the Sky Look Blue? Rayleigh Scattering

    is the sky blue because , blue light has more energy so it gets scattered to our eye, and red light has less energy so it gets scattered away from our eye , and when the sun sets the angle the light enters our atmosphere changes , is this similar to white light entering a prism and that...
  9. J

    A Quick Question on Compton Scattering

    [b]1. A photon of wavelength 1.000nm is scattered by a muon initially at rest. What is the deflection angle of the photon if its wavelength after scattering is 1.001nm? Homework Equations \lambda^{'} - \lambda = \frac{h}{mc} (1 - cos(\vartheta) Assume that the mass of the muon is 200 times...
  10. J

    Inverse Scattering Transform/KdV eqn

    Anyone here experienced at all with it? Well, anyone here knows the solution? I have a few steps I need explaining but I kinda don't want to Latex it out if no one ever took interest in it D: Well, a more general query is where the initial data for KdV fits into the transform. As in, does the...
  11. Q

    How Do You Solve the Schrodinger Equation for Scattering Off Two Centers?

    Hello to all and each one of you! I'm a bit confused about solving Shoroedinger equation \nabla^2 \psi + (p^2 - 2mU(\textbf{r})) \psi = 0, for scattering problem \psi(|\textbf{r}|\to \infty) \sim e^{i\textbf{pr}} + f(\theta,\phi) e^{ipr}/r if potential is of the form...
  12. L

    Scattering of Light: Definition & Explanation

    what does it mean by scattering of light? (or electrons etc?) does it mean light is absorbed, and then re-radiated.(by eciting electrons to higher energy levels which then produce light when it falls back ownto the ground state) or that its something more like compton scattering? or is it to do...
  13. C

    2nd Born term calculation (potential scattering)

    2nd Born term calculation problem (potential scattering) Homework Statement I'm trying to get a 2nd Born term for scattering amplitude in momentum representation (potential scattering). I take potential of the form: V \left( r \right) = \gamma r^{-1} \exp \left( \frac{-r}{R} \right) \; , R...
  14. G

    Bhabha Scattering: Relative Sign Difference & Fermi Statistics

    I cannot figure out why there is a relative sign difference between the two diagrams for bhabha scattering. Fermi statistics is at play here but I don't see how that affects the relative sign between 2 different diagrams...
  15. G

    Bhabha Scattering: Fermi Stats & Relative Sign Difference

    I cannot figure out why there is a relative sign difference between the two diagrams for bhabha scattering. Fermi statistics is at play here but I don't see how that affects the relative sign between 2 different diagram...
  16. L

    Does Compton Scattering Have No Effect on Electron Energy and Velocity?

    A quick question regarding compton scattering: if we consider the situation in which a photon incident on a free electron is scattered through an angle of 180 degrees, its energy essentially does not change. Since energy must be conserved, I assume this means there is no effect whatsoever on the...
  17. H

    How is Compton scattering calculated without using quantum field theory?

    I need a calculation section of the article without Compton scattering method does not use quantum field theory. Can you help me? I thank a lot!
  18. K

    Thompson scattering, simple integral?

    In theory this is a simpel integral problem which i can't solve So I'm doing some plasma physics, and it comes with the derivation of the Thompson scattering (please bear with the first time I've tried using latex, I am sorry some of the greek lowercase laters look like superscripts, there not...
  19. W

    Correlation functions vs. Scattering Amplitude

    Hi there, I am learning the basics of QFT at the moment. Could someone explain to me, in the case for any number of scalar fields, the difference between correlation functions and scattering amplitudes please? Correlation functions <0|T(\phi_{1}...\phi{n})|0> Does one always write the...
  20. L

    Compton Scattering: What is the Difference from Electron-Photon Absorption?

    Hi all. Here is the question: Compton scattering I understood is, any wavelength phton can kick an electron, hecnce change its momentum. However, I also learned in the electron phton absorbtion process, if the photon's energy smaller than the energy difference between the two states of the...
  21. G

    Dynamic light scattering and coherence of light

    Hi, 1. I am studying dynamic light scattering in which one experimentally measures intensity correlation i.e., <I(t)I(t+tau)>. Therefore, if the detector looks at a scattering signal from a solution of particles undergoing Brownian motion, under right experimental conditions one can detect the...
  22. F

    Solving Scattering Problem: Get Help with Phase Shift Delta

    hi all, I am facing a confusing problem with scattering theory and any hint would be greatly appreciated.. In the famous scattering by a square well problem the phase shift\delta is a smooth curve in the particle energy... but what I get from my own derivation is not exactly as it should be...
  23. S

    Rutherford Scattering cross section

    Homework Statement Integrate the rutherford cross section over the backward hemisphere to get 4pi(sigma0(E)) Homework Equations Rutherford cross section is sigma0(E)/sin^4(theta/2) The Attempt at a Solution When I integrate this with the limits pi/2 to pi i get sigma0(E)*(8/3) i...
  24. H

    Differential cross-section and scattering.

    Homework Statement A beam of 0.38 MeV neutrons is incident on a 113Cd foil of thickness 1mm. The absorption 48 cross-section for 0.38 MeV neutrons is 5 barns. What is the fraction of neutrons absorbed by the foil...
  25. tom.stoer

    Neutrino pair creation in electron positron scattering

    Hello, does anybody know how to compare (at tree level) the two reactions e^- + e^+ \to \gamma^\ast \to e^- + e^+ and e^- + e^+ \to Z^\ast \to \nu + \bar{\nu} \;\;\; \text{and} \;\;\; e^- + e^+ \to W^\ast \to \nu_e + \bar{\nu}_e The first process is the so-called Bhabha...
  26. L

    Why is the formula for Compton scattering not affected by binding energy?

    Why is it that the formula for compton scattering does not include the binding energy for an electron to the nucleus? Seems like the scattered electron can have a continuous range of energies from 0 to h/mc. Why isn't this quantized?
  27. C

    Rutherford Scattering Problem.

    Homework Statement In an experiment, an alpha particle of mass 6.7e-27 kg; charge 3.2e-19C travels in a straight line with a speed 2.0e7m/s towards the centre of a gold nucleus. Find: 1. The kinetic energy(KE) of the alpha particle; 2. The potential(V) at a distance 'x' from the centre of the...
  28. maverick280857

    Spinless Electron-Muon Scattering (Halzen-Martin)

    Hi everyone. I was going through section 4.2 of Halzen and Martin, when I came across the following step \Box^2 A^{\mu} = j^{\mu}_{(2)} where j^{\mu}_{2} = -eN_{B}N_{D}(p_{D}+p_{B})^{\mu}e^{i(p_D-p_B)\cdot x} Now, according to the authors, Question 1: Shouldn't this be the solution in...
  29. F

    Why Does the Neumann Function Get Discarded in Free Particle Solutions?

    Hey guys, I've been working through the notes found here: http://galileo.phys.virginia.edu/classes/752.mf1i.spring03/Scattering_II.htm and I have what is probably a stupid question: I understand the reason for throwing away the Neumann function (or Bessel function of second kind) for the...
  30. G

    Scattering of neotrinos off an iron block

    Homework Statement Consider a beam of neutrinos moving in the x direction at energy of 200 GeV, and passing through a block of iron. (a) The density of iron is ρ = 7.9gcm−3. In the rest frame of the neutrino, what is the flux of iron nuclei which are moving in its direction (give the...
  31. J

    Back scattering of beta perticles by foil experiment

    Beta particles are fast moving electrons emitted by the nuclei of certain atoms. When beta particles enter a material they may be deflected, and after penetrating a short distance into the material, may be moving in any direction. Some of these particles may have their motion reversed by their...
  32. D

    Magnitude of the scattering ampliudes in QFT

    I have yet another question... I was always thinking that the scattering amplitudes one computes in QFT are complex numbers of modulus between 0 and 1. And I was thinking that because it is supposed to be related to the probability of some transition between states happening. And then I tried...
  33. S

    Best Books on Neutron Scattering & Diffusion

    Hi What is the best book about neutron scattering and diffusion? Regards
  34. C

    Energy Density with Thomson scattering

    Homework Statement If ne represents the electron density and the interaction between particles is the photons scattering off of the electrons through the Thomson cross section, how low must the electron density be to cross the universe with no scattering? Homework Equations The size...
  35. maverick280857

    Scattering of a scalar particle on a spin-1/2 particle

    Hi, Following my recent https://www.physicsforums.com/showthread.php?t=375638" with density matrix formulations of scattering theory, here's a question I faced on yesterday's particle physics exam. I did some mechanical computation, but I am not fully convinced of what I did (basically computed...
  36. maverick280857

    Resources for pi-N scattering?

    Hi everyone, I'm looking for books or resources where I can read about things like measurement of cross section, cross-section asymmetry and polarization in the context of pion-neutron scattering, but also more generally in particle physics. By measurement, I don't mean experiments alone, but...
  37. R

    Compton Scattering Using Newtonian Physics

    Hey guys, Im trying to derive the following equation (mc^2) [(1/E2)-(1/E1)]+cos(theta)-[((E1-E2)^2)/(2E1E2)]=1 E1 = Incident Photon's energy E2 = Scattered Photon's energy theta= scattering angle m = mass of electron c = s Using conservation of energy,conservation of mass, and...
  38. R

    Compton Scattering in Newtonian Physics

    Homework Statement Derive the equation non-relativistic equation for Compton scattering (mc^2) [(1/E2)-(1/E1)]+cos(theta)-[((E1-E2)^2)/(2E1E2)]=1 E1 = Incident Photon's energy E2 = Scattered Photon's energy theta= scattering angle m = mass of electron c = s Here is the lab In...
  39. E

    Exploring 5-Gluon Scattering: Beyond Feynman Graphs and Old-School Calculations

    Hey folks, you don't happen to know where i can find a list of all possible Feynman diagrams contributing to a 5-gluon-amplitude? I am currently working on a comparison of beyond-feynman-graphs-techniques (colour-ordering, BCF, CSW, MHV,...) and old-school calculations using Feynman...
  40. S

    Can the Inverse Scattering Transform Solve PDEs?

    Can anyone help me to solve the PDE via Inverse Scattering transform method?
  41. D

    Compton scattering, angle of recoiled electron

    Trying to find the angle of the velocity vector from a recoiled electron after an impact from a photon. I have already found the initial energy of the photon, and the energy of the scattered photon, and so can calculate the momentums. I know the photon is scattered at an angle of 110...
  42. D

    Compton Scattering formula for 180 degree scattering.

    Hi, I'm trying to derive a simple formula for 180° scattering. I've got to this stage and I really can't figure out how to simplify it further. \[ \frac{1}{\lambda}-\frac{1}{\lambda'} = \frac{2m_ec}{h} \] What I actually need is: \[ \lambda' - \lambda = \frac{2h}{m_ec} \] I'm...
  43. C

    Radius of Surface of Last Scattering

    Homework Statement Estimate the radius of the last scattering surface, using the age of the Universe. Why might this underestimate the true value? Homework Equations For a matter dominated universe particle horizon distance = 3ct The Attempt at a Solution I assumed the way to do...
  44. S

    What Fraction of a Water Molecule's Mass is Hydrogen?

    Hi, see attachment for questions/equations and my attempt. I have had a go at this question but cannot get the correct answer, could someone be kind enough to point out my mistake and point me in the right direction. Cheers (sorry for poor pic quality)
  45. E

    Where Can I Find Good Resources on Central Force and Scattering?

    I'm trying to understand Central Force problems and Scattering (from a central force) but the website of my course (I'm studying Analytical Mechanics) doesn't offer very good matterial on the subject. Can anyone suggest good papers about it, accompanied by problems and their solutions? Thanks.
  46. parazit

    Electron-electron /Moller/ Scattering

    Hi everyone.Electon-electron or Moller Scattering is the topic of my homework and i also have to derive the differential cross section equation/formula. The problem is i do not know how to start it and continue. Please help me and show me a path.It also may work if you have already worked...
  47. S

    Optics Books: Exploring Reflection, Diffraction & Rayleigh Scattering

    I'm wanting to get another optics book. I'm interested in finding a book that gives insight into how light waves interact with surfaces such as in reflection and x-ray diffraction and things like that using sufficient diagrams of the wavefronts and particles and rayleigh scattering. I want to...
  48. S

    Rayleigh Scattering: Is Reemitted Light In or Out of Phase?

    I'm just wondering something. Suppose some particles scatter light coming from a monochromatic laser or just some monochromatic light source. I've seen Rayleigh scattering being described as if the particles reemitted light that either added together in phase in the forward direction or was...
  49. T

    Relativistic scattering Lab and CM frames

    Hi! I have the following problem: Example: collision of 2 electrons For non-relativistic scattering it is easy to show that the speed of the CM frame with respect to the lab frame is equal to the speed of the electrons in the CM frame, expoloiting the fact that in the lab frame, one of the...
  50. P

    Scattering of a Neutron and Proton

    I have a problem here that has me a bit suck: In scattering between incident neutrons and target protons at rest, show that the angle between the two scattered particles is always 90 degrees. I have set up the conservation of energy and momentum equations and have: Energy: Tn=T'n+Tp...
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