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. J

    I Difference between Scattering and Emission of Photons

    Hello, Ok, so I’ve been searching about this for a while and there seems to be a difference in explanations that confuses me. What concerns me is the exact detailed physical mechanism that makes particles cause a scatter of a photon and an emission of a photon. The Wiki page about scattering...
  2. M

    I Difference between absorption and scattering cross sections

    Hi. I'm trying to model the attenuation (extinction) of a weak laser through a gas sample using the Beer-Lambert law. I've found that the attenuation cross section can be written as the sum of both a scattering and absorption cross section, however I'm having difficulty finding a source that...
  3. F

    Correcting results to fit Rutherford's Scattering Formula

    I'm a Physics undergraduate at University and in my labs module I had to recreate the Rutherford Scattering experiment. The basic setup was similar to this: My problem is that this setup only records data in one plane and not 3D. In reality the particles are scattered in a sort of cone...
  4. P

    Neutron scattering - determing the magnetic moment for MnO

    I'm told that the MnO crystal resembles in structure that of NaCl (FCC) with lattice constant a, and am first asked to write a general expression for the position vector Rj of the ion j in the unit cell of MnO. I am then asked to find the vector K for MnO in order to use the relation...
  5. binbagsss

    I Scattering, 4 point correlator, number of distinct Feynman diagrams

    In order to compute the scattering probability that two particles of type 1 (associated to ##\phi_1(x)##) which come from the far past with the momenta ##p1## and## p2##, to scatter and evolve into two particles of type 2 (associated to ##\phi_2(x)##) with the momenta ##p3## and ##p4## , I am...
  6. C

    Quantum What is the Born approximation and how does it relate to quantum scattering?

    Hi i am trying to understand Borh's scattering but i need article that will teach me step by step. Do you know any?
  7. F

    I One-Dimensional Scattering Problem

    I have tried to solve a scattering problem of two particles in one dimension, following the T operator theory, after to write the system in the center of mass reference. I have used the square potential \begin{equation} U(x) = \left\{ {\begin{array}{cc} U_0 & 0 < x < a \\ 0 & \rm{Otherwise}...
  8. E

    How Is Scattered Flux Density Measured from a Ruby Laser in the Atmosphere?

    Homework Statement [/B] An unpolarized ruby laser operated at 0.7 μm is projected vertically into a clear sky to investigate the density of the atmosphere. A detector located 10 km from the base of the laser is used to receive the flux density scattered from the laser beam by air molecules...
  9. E

    Coulomb scattering of spin-zero particle (QFT)

    I'm looking at Aitchison and Hey's QFT book, trying to verify Eq. 8.27 (which is in fact problem 8.2). It asks us to verify that the matrix element for the scattering of a charged spin zero particle (s^+) is <s^+,p'|j^\mu_{em,s}|s^+,p> = e(p+p')^\mu e^{-i(p-p')\cdot x} where...
  10. N

    Shield against induction of sounds from remote source of RF

    It has been demonstrated that it is possible to make humans hear sounds using waves. Abstract From Journal of Applied Physiology Is there a practical method for shielding? I mean using materials for simple attenuation, and/or altering characteristics of waves (frequency, phase and/or amplitude).
  11. G

    Difference between elastic and coherent scattering

    Hi everyone! What is the difference between coherent and elastic scattering. Maybe the elastic scattering implies that there is not loss of energy, whereas the coherent scattering implies that the wavelength of a ray (or rays) is the same before and after the scattering? Thank you in advance.
  12. Bloopy

    B Doubt regarding Rutherford's Alpha Scattering Experiment and Impact Parameter

    It is mentioned in my Textbook that if alpha-particle has large impact parameter, it gets scattered through small angles and vice versa. I understand that impact parameter is defined as the perpendicular distance between the path of a projectile and the center of the nucleus. I am unsure how...
  13. Kara386

    Structure functions in electron-proton scattering

    Homework Statement In electron proton scattering, ##\int_0^{1} F^p_2(x)dx = 0.18## For the neutron in electron deuteron scattering, ##\int_0^1F^n_2(x)dx = 0.12## Therefore determine the ratio ##\frac{\int_0^1xu^p_v(x)dx}{\int_0^1xd^p_v(x)dx}##. Homework EquationsThe Attempt at a Solution...
  14. mfb

    I Evidence of Light-by-light scattering by ATLAS

    For centuries, scientists argued whether light was waves or particles. Light scattering with other light would favor the particle concept. Today we know both models are wrong, but quantum electrodynamics also predicts this scattering - just with an incredibly tiny rate, so it has never been...
  15. P

    What is the Fraction of Energy Lost by an Electron in Elastic Scattering?

    Homework Statement An electron collides with a particle with mass M at rest and scatters elastically through an angle θ (assume electron mass negligible). Show that the fraction of energy lost by the e- is: (Ee - Ee')/Ee = 1/[1+ Mc2/Ee(1-cosθ)] Homework Equations Conservation of Energy: Ee +...
  16. S

    Scattering angle as a function of impact parameter

    Homework Statement This is the problem 3.34 from Goldstein, 3rd Edition: Consider a truncated repulsive Coulomb potential defined as V=k/r, for r>a and V=k/a, for r<=a. For a total energy E>k/a, obtain expressions for the scattering angle ##\Theta## as a function of ##s/s_0##, where ##s_0##...
  17. C

    I One loop corrections to Compton scattering

    At next to leading order, a photon may couple to gluon via means of a quark loop insertion. Consider the process $$ \gamma(k_1) + g(p_1) \rightarrow \gamma(k_2) + g(p_2)$$ Apparantly there are eight diagrams at one loop contributing to this process and two are zero on grounds of colour...
  18. OrangeYogi

    What is the purpose of Electro-Optical Modulator (EOM)?

    Hello, I'm studying the setup of distributed Brillouin sensor (using fibre optics) and don't quite understand the purpose of EOM in the sensor. It says that "to generate both the pump and the probe waves from a single physical light source by using an electro-optical modulator (EOM)", but since...
  19. C

    I Deep inelastic scattering and the Q^2 large limit

    I am reading through Bailin and Love's argument (see P.151-152 of 'Introduction to Gauge Field Theory') that as ##Q^2 \rightarrow \infty##, we probe the product of the two electromagnetic currents appearing in the hadronic tensor for DIS on the lightcone. I will write out the argument here and...
  20. A

    A Mie scattering with quantum physics

    Hi, I have to make a work about what are the major components of Mie scattering from a quantum physics point of view. Unfortunately, from the research I did I only came up with how Mie scattering can be derived from the Maxwell equations. I must probably using the wrong research words, and I...
  21. Remixex

    Basic question about Scattering and understanding colors

    So I'm studying scattering and size parameters now, I've come to understand that the sky is blue because the size parameter is such that it's an excellent "scatterer" of blue-violet visible light, and horrible at red-orange, that let's pass, and such the sun is yellow within the Earth. I've also...
  22. Guaicai

    Scattering in Finite step potential

    origin page : http://www.physicspages.com/2012/08/08/finite-step-potential-scattering/ No quite understand how the solution come from this equation
  23. bananabandana

    Intuition for Rayleigh Scattering

    Is there some way to - from an intuition standpoint - justify the fact that there should be a factor of ##a^{6}##, (where ##a ## is the particle diameter) in the Rayleigh Scattering formula? I've seen a few sources hint that there should be. I can follow the derivation from e.g a Lorentz atom...
  24. L

    I Early opaque universe - why little proton-photon scattering?

    I read many times that the early universe was opaque foremost because of the scattering of photons off free electrons (Thomson scattering). Why is the scattering off free protons not equally important? Btw, the same they say about stars. Photons within stars need a very long time to get out of...
  25. lippyka

    Rutherford Scattering: Finding Cross Section & Solid Angle

    Hi I am revising for an exam and am a bit confused with Rutherford Scattering - Finding the cross section (is the cross section different to the differential cross section?) - Finding the solid angle. So here is a past question: A beam of 6MeV alpha particles is incident on a platinum foil. A...
  26. kontejnjer

    Moller scattering polarized cross section

    Homework Statement [/B] (Note: this is not strictly homework, but it is related to one course I'm doing, and I can't find a useful solution anywhere) Find the analytical expression for the scattering cross section of two longitudinally polarized electrons at tree level. Homework Equations...
  27. M

    Why Does the Minus Sign Appear in Momentum Transfer Equation?

    Homework Statement This is just a simple proof of substitution, but after one day struggle, I still can't get where that minus sign appear. Homework Equations Here is the equation: $$ (p_1 - p_3)^2=-(\mathbf p_1 - \mathbf p_3)^2$$ where ##p_1=(E/c,\mathbf p_1)## and ##p_3=(E/c, \mathbf p_3)##...
  28. D

    Scattering of two charged particles

    Homework Statement Two identical charged particles, each of mass m and charge e, are intitialy far apart. One of the particles is at rest at the origin, and the other approaching it with velocity v along the line x=b, y=0 where b=e^2/2 \pi \epsilon_0 mv^2. Find the scattering angle in the CM...
  29. H

    I Is it possible to image individual air molecules?

    I was wondering if it is possible to image the motion of individual air molecules? What I am picturing is using a laser to illuminate a volume of air, and using scattered light to measure the velocity of individual air molecules through the doppler shift of the scattered light. It seems that...
  30. E

    A The unit of atom scattering factor

    Hi, I read in some papers which say the unit of atom scattering factor is e/atom. what is the meaning of that? thank you!
  31. R

    I Meaning of inelastic scattering length

    Hello, what is the physical meaning of the scattering length? I know this question was discussed here before but I still have questions. This quantity is listed in table 1 of this paper: http://rpd.oxfordjournals.org/content/132/1/29.full.pdf. I need to clarify a few things: does scattering...
  32. Magnetic Boy

    Fraction of lost energy in compton scattering

    Homework Statement After undergoing through 90° compton scattering, the fraction of energy lost by photon is a) 10% b) 20% c) 50% d) zero e) none of these Homework Equations ∆λ= h/moc (1-cosΦ) The Attempt at a Solution What i m doing is that, i get scattered photon energy and subtracting...
  33. carllacan

    I Diagrams for nucleon scattering

    According to Tong there are two Feynman diagrams for nucleon-nucleon scattering in the interaction of the complex and real scalar fields, but I can draw another diagram where the p1 and p2 particles enter a vertex and the p1' and p2' particles go out of another vertex (linked to the first one by...
  34. M

    Elastic and inelastic collisions

    Homework Statement A low-energy particle collides elastically with a stationary particle of the same mass. The angle between the subsequent paths of both particles are 90 degrees. But when a high-energy proton collides with a stationary proton, the angle between the two paths is not 90 degrees...
  35. jinn

    What is the Kinetic Energy of Alpha Particles Scattered by an Aluminum Plate?

    Homework Statement Onto an Aluminium 50μm thick plate, we send a beam of alpha particles with unknown kinetic energy. the cross section of the beam is 2cm2, density 1013 / scm2 . Whats the kinetic energy of the particles if every second we sense 105 scattered particles between the angles 40°...
  36. J

    MCNP multigroup scattering matrix and diffusion coefficient

    Hello I am a lower-intermediate user of MCNP and I do not know how to obtain the diffusion coefficient (or maybe the angle of scattering) using tallies. I also have read a paper (Multigroup Scattering Matrix Generation Method using Weight-to-Flux Ratio Based on a Continous Energy Monte Carlo...
  37. Jim Lundquist

    A Lay Question Regarding Compton Scattering

    From what I understand, a photon of "sufficient" energy will interact with a free electron such that the recoil electron receives part of the energy of the photon, and the scattered photon has a Doppler shift (change in wavelength). If the scattered photon still has "sufficient" energy, Compton...
  38. I

    Studying Final project on scattering amplitudes: pros and cons?

    Hi everyone, with this thread I kindly seek for advice from more experienced people to hear as many opinions as possible. I will try to explain the situation clearly: I am doing a 4 years Msci programme in Theoretical Physics, in which I almost completed the third year. During the third year...
  39. S

    A Asymptotic momentum eigenstates in scattering experiments

    In a typical collider experiment, two particles, generally in approximate momentum eigenstates at ##t=-\infty##, are collided with each other and we measure the probability of finding particular outgoing momentum eigenstates at ##t=\infty##. Firstly, what does it mean for the particles to be in...
  40. S

    A Normalized Differential Scattering Probability

    The normalized differential quantum-field-theoretic probability ##dP## of scattering is given by ##dP=\frac{|\langle f |S|i\rangle|^{2}}{\langle f|f\rangle\langle i|i\rangle}d\Pi,## where ##|i\rangle## is the initial state, ##|f\rangle## is the final state, ##\langle f|S|i\rangle## are the...
  41. Matt atkinson

    What is the maximum recoil energy of photons in Inverse Compton Scattering?

    Hello all, I'm just doing some practice for an upcoming exam and came upon this question in my notes: One experimental way to generate very high energy photons is to ”collide” a laser beam against an electron beam, the photons that recoil in the direction parallel to the electron beam will have...
  42. vetgirl1990

    Compton effect: Scattering angle of electron

    Homework Statement A 0.7MeV (E°) photon scatters off a free electron such that the scattering angle of the photon is twice the scattering angle of the electron (θ=2φ). Determine the scattering angle for the electron. Homework Equations λ' - λ° = h/(mec)(1-cosθ) E = hc/λ ρelectron = mev /...
  43. J

    Four momentum proton-proton scattering question

    Homework Statement In a fixed target experiment a particle of mass M and kinetic energy T strikes a stationary particle of mass M. By evaluating s, t and u in the laboratory frame and using the above relation, or otherwise, show that the kinetic energy T' of the particle scattered elastically...
  44. DavidReishi

    I Inverse square law and ensembles of photons

    I'm trying to visualize the effect of the inverse square law, not on a direct source of light, but on scattered light carrying visual data, such as that responsible for our everyday sight of things as well as our images of Earth from satellites. It seems to me that it should be true that, while...
  45. W

    I Evaluating Scattering Integral

    Hi, I really don't have a clue to solve this. I tried something like the dirac function identity: But then I saw it's dk' not dk' and couldn't got it straight. Can someone help me with this?
  46. thecourtholio

    Angular diameter distance to surface of last scattering

    Homework Statement 1) Calculate the angular diameter distance to the last scattering surface in the following cosmological models: i) Open universe, ΩΛ= 0.65, Ωm = 0.30 ii) Closed universe, ΩΛ = 0.75, Ωm = 0.30 ii) Flat universe, ΩΛ = 0.75, Ωm = 0.25 Describe how the CMB power spectrum...
  47. amjad-sh

    I Scattering theory (some confusion)

    We know that the solution of the schroedinger equation for a free particle in position representation is a plane wave: \psi(x)=Ae^{ikx}+Be^{-ikx} which means that the particle has a probability to move either to the left or to the right. "Now let's take the potential step problem. V(x)=0 for...
  48. thecourtholio

    Distance to surface of last scattering in +, -, and flat uni's

    Homework Statement 1) Calculate the angular diameter distance to the last scattering surface in the following cosmological models: i) Open universe, ΩΛ= 0.65, Ωm = 0.30 ii) Closed universe, ΩΛ = 0.75, Ωm = 0.30 ii) Flat universe, ΩΛ = 0.75, Ωm = 0.25 Describe how the CMB power spectrum...
  49. J

    I Integral computation in scattering theory

    Hello everyone, Still working on my reading of Weinberg's Lecture notes on QM book. At one point, the following integral $$\int d^3 xd^3 x' V(\vec{x~}) V(\vec{x'}) / |\vec{x~} - \vec{x'}|^2$$ has to be computed in the case where ##V(r) = -e^{-r/R}/r##. This reminds me of retarded potentials...
  50. W

    Compton Scattering; Relation between scattering angles

    Homework Statement Show that the scatter angles of the photon (θ) and electron (Φ) in the Compton effect are related by the relation: ##cot (θ/2 )=(1+\frac{hf}{mοC^2}) tan(Φ) ## Where f is the frequency of incident photon 2. The attempt at a solution I wrote down the equations of conservation...
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