What is Scattering: Definition and 915 Discussions

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. JD_PM

    Showing Feynman-amplitudes' gauge invariance (for Compton Scattering)

    Show that the Feynman amplitude for Compton scattering ##\mathcal{M} = \mathcal{M}_a + \mathcal{M}_b## is gauge invariant while the individual contributions ##\mathcal{M}_a## and ##\mathcal{M}_b## are not, by considering the gauge transformations $$\varepsilon^{\mu} (\vec k_i) \rightarrow...
  2. D

    Help with neutron scattering in solid state physics

    Hello fellow physicists, I have a homework assignment which is to make a scientific essay (10-15 pages long) on neutron scattering in solid state physics. Our teacher is kind of the worse and he hasn't specified what he wants it on. He just said what I'm telling you: "An essay on neutron...
  3. F

    Exploring Compton Scattering and Backscatter Scanners

    I'm researching a bit on Compton Scattering, especially in relation to, backscattering scanner, like one would see in an airport. I think I understood that the angle of deflection is in relationship to the loss of energy of the photon, where λf - λi = h/mc(1-cosθ). So if you know the...
  4. G

    Modelling Rutherford Scattering - in the school lab

    Hi, New to the forum here! I'm teaching age 16-18 physics in the UK. I was wondering if anyone in here might have experience using equipment that looks like this: https://www.eiscolabs.com/products/alpha-scattering It's a physical analogue of Rutherford's famous experiment: roll ball bearings...
  5. Diracobama2181

    A Scattering Amplitudes for Phi 4 Theory

    I know $$ i\mathcal{M}(\vec {k_1}\vec{k_2}\rightarrow \vec{p_1}\vec{p_2})(2\pi)^4\delta^{(4)}(p_1 +p_2-k_1-k_2) $$ =sum of all (all connected and amputated Feynman diagrams), but what is meant by 1 loop order? In other words, when I take the scattering matix element...
  6. C

    Compton Scattering: Determining the Energy of a Scattered Gamma Ray

    I'm unsure of how to proceed here. Would I use the equation E(gamma prime)= E(gamma)/(1+(E(gamma)/(mc^2)(1-cos(theta))) ? Also, do I keep the .662 Mev as is or do I convert to joules?
  7. C

    Rutherford Scattering of an Alpha Particle

    I have the equation but I am unsure of what my r min would be. Is it the sum of the radii or the difference? I am also confused on what z1 would be. I am fairly sure z2 is the atomic number of Fe(26) but I am unsure of this as well. Edit: I just read that z1 could be 2, is this correct?
  8. Robin04

    I Solving 1D Scattering Problem: Reflection & Transmission Coefficients

    We have the potential $$V(x)=-\frac{1}{\cosh^2 (x)}$$ Show that the Schrödinger equation has the solution $$\psi(x)=(\tanh(x)-ik)e^{ikx}$$ and calculate the transmission and reflection coefficients for the scattering process. It is easy to show that the given wavefunction indeed solves the...
  9. jjson775

    What is the formula for calculating electrical potential?

    V = Ke x q/r 2x 1.602x10^-19 = 8.99 x 10^9 x (79x1.602x10^-19)/r
  10. Rzbs

    I Electron scattering in the Brillouin zone boundary

    I what to know what is electron scattering in Brillouin zone boundary? What exactly happen for electron in Brillouin zone boundary; what happen for it in real space and what happen for it in reciprocal space? And is electron scattering from a Brillouin zone boundary could be a source for...
  11. sbrothy

    Apropos Raspberry PI DIY Mass Spec using Raman Scattering

    https://hackaday.io/project/1279-ramanpi-raman-spectrometer It's a pretty nifty gadget this Raspberry thingy. A computer the size of a pack of cigs. :) And a mass spectrometer... I'm not sure what such a device costs but I'm sure it pretty frigging expensive!
  12. S

    A Exploring Bragg/von Lau Scattering: A Discussion of X-Ray Experiments

    Overview of thread: 1. Quick derivation of bragg scattering 2. Discussion of modern xray experiments as they relate to bragg/fraunhofer 3. Summary of points. Bragg/von Lau Scattering: (I will be following Ashcroft if you want to sing along, pg 98-99) Imagine you have light incident on some...
  13. phywithAK

    Phase shifts for a localized Coulomb and harmonic potential

    I am struggling over a problem and i could really use some help in this. So it's about finding phase shifts in a localized sphere of coulomb and harmonic potential. I tried solving the radial Schrodinger equation for both of them by using power series method, but still i am having problem...
  14. A

    A Energy needed to convert a bound proton to a neutron?

    Hey everyone, I've got a question on converting bound protons into neutrons. a. What are some methods used to achieve the proton-to-neutron conversion in atomic nuclei? I'm familiar with particle scattering off a proton in the nucleus. I'm also aware of (n,p) reactions. Are there any other...
  15. O

    I Governing force and Neutron elastic scattering

    Hi, Which force does govern the neutron elastic scattering and capture reactions? It seems to me it is the strong nuclear force, but I am not sure about that.Thanks.
  16. JD_PM

    I How does the experimentalist deal with Compton Scattering?

    I've been studying Compton Scattering (Mandl & Shaw, https://ia800108.us.archive.org/32/items/FranzMandlGrahamShawQuantumFieldTheoryWiley2010/Franz%20Mandl%2C%20Graham%20Shaw-Quantum%20Field%20Theory-Wiley%20%282010%29.pdf) and the derivation of the following formulas: 1) Differential cross...
  17. JD_PM

    I Traces in Compton Scattering

    Given the Feynman amplitude (Compton Scattering by electrons) ##\mathscr{M}=\mathscr{M}_a+\mathscr{M}_b##, where $$\mathscr{M}_a = -i e^2 \frac{\bar u' \not{\!\epsilon'} (\not{\!p}+\not{\!k}+m) \not{\!\epsilon} u}{2(pk)}, \ \ \ \ \mathscr{M}_b = i e^2 \frac{\bar u' \not{\!\epsilon}...
  18. P

    Rayleigh Scattering Conceptual Question about the Color of the Sky

    We know ##\lambda_{blue} < \lambda_{red}## so citing the formula above (in the relevant equations) it's apparent that blue light is scattered more than red light. But presumably this would hold for ##\theta = 0## as well but when we look at the sun head on we don't see blue, we see red/orange...
  19. JD_PM

    I Understanding the (polarized) cross section for Compton Scattering by electrons

    I have specific questions, but let's first give context. Initially we have an electron with momentum ##p=(E, \vec p)## and spin state ##u_r (\vec p)## and a photon with momentum ##k=(\omega, \vec k)## and polarization state ##\epsilon_s (\vec k)##. Finally we have ##p'=(E', \vec p')##, ##u_r'...
  20. L

    QED, Electron-Proton Scattering: Rosenbluth cross-section

    Hello, this problem is causing headaches, it would be very helpful if you could tell me if you know of a book where you can solve it. Maybe my English is lousy because I use a translator. Thank you very much.
  21. K

    Quantum High-level book on scattering in quantum mechanics

    I'm interested in a book which treats scattering in quantum mechanics aimed at the research-level. I'm particularly interested in a text which focuses on mathematical details such as the analytic structure of the S matrix, the relation between the S matrix and various green's/two-point...
  22. M

    I Calculating 2nd Order Scattering Amplitude: Feynman Diagrams

    In the following I will try to deduce the scattering amplitude for a specific interaction. My question is at the bottom, the entire rest is my reasoning to explain how I came to the results I present. My working Let's assume I would like to calculate the second order scattering amplitude in ##...
  23. neilparker62

    I Special Case of Compton Scattering

    Was just wondering if there's anything special about the physics of Compton scattering where the incident photon has the same energy (512 keV) as the electron at rest. Then: $$1−cosθ_d=\frac{E_0ΔE}{Ei Er}=\frac{E_0(E_0−Er)}{E_0E_r}=\frac{E_0}{E_r}−1=\frac{λ_r}{λ_0}−1 $$ $$⇒\frac{1}{E_r}\propto...
  24. E

    S-wave phase shift for quantum mechanical scattering

    a.) The potential is a delta function, so ##V \left( r \right) = \frac {\hbar^2} {2\mu} \gamma \delta \left(r-a \right)##, therefore ##V \left( r \right) = \frac {\hbar^2} {2\mu} \gamma ## at ##r=a##, and ##V \left( r \right) = 0## otherwise. I've tried a few different approaches: 1.) In...
  25. A

    Wide-angle X-ray scattering (WAXS) spectroscopy

    I read the "J. Phys. Chem. B 2018, 122, 7616−7624" paper where they calculated the pair distribution function using wide-angle X-ray scattering and mentioned the term " The distances to the first coordination shell for low-, high-, and very-high-density amorphous ice (LDA, HDA, VHDA) were...
  26. jisbon

    Compton scattering event (Proof question)

    Hi all, Currently given a problem to prove that the scattered photon is fixed at a constant value with only the condition that both angles from the photon and electron sum up to 90 degrees after the collision. I can't seem to prove it and listed my steps below, was wondering if anyone can...
  27. U

    Question on a textbook statment on Rutherford Scattering

    The experimental observation of finding very few alpha particles scattered through large angles (>90) - I thought this would have inferred that the positive charge of the core of the atom (which we now come to know as the nuclei) must have been great in order greatly deflect alpha particles...
  28. Amartansh

    Diffraction tomography, inverse scattering

    What are some good books which covers topics like diffraction tomography, inverse scattering, RF imaging and Fourier optics?
  29. R

    B A doubt on Rutherford's Scattering experiment

    Please refer to the image attached for the question.thanks.
  30. K

    I Understanding Coherent Neutron Scattering in Hydrogen Molecules

    Hello! I am not sure I understand how neutron coherent scattering takes place. The case I am particularly talking about is neutron scattering off a hydrogen molecule. When thinking of Coulomb interaction, I would imagine this as if the incident particle (not a neutron, as the neutron doesn't...
  31. E

    Engineering Understanding the S Parameter Matrix for Lossless Transmission Lines"

    If a perfect transmission line is lossless, then would the S parameter for a perfect transmission line be ? Homework Equation: S parameter matrix
  32. J

    A Skew scattering and its proportional behaviour to conductivity

    Hallo guys,Im kinda confused about something and hope you can help me. Let me introduce you to it. we take a look on one Mechanismen to the spin hall effect, skew scattering effect. i just read that you can see this contribution only in the clean Limit. So that's really strange for me cause...
  33. J

    Scattering amplitude in scattering from a delta function

    I tried to calculate the Fourier transform to get the amplitude, but I got lost
  34. Z

    I Ways to minimize scattering as T increases

    as temperature rises in a MOSFET, are there tricks to prevent the Coulomb/phonon scattering? Or at least minimize it? This is in reference to Fig 4 here: https://pdfs.semanticscholar.org/f8a0/b9b7030f7201ef17c6ff66ec660fd75c7aae.pdf The more overarching question is related to ring oscillators...
  35. Fosheimdet

    A Understanding the Form Factor in Electron Scattering

    I'm reading through Thomson's "Modern Particle Physics", and I've gotten stuck at a point in the derivation of the form factor for electron scattering in a static potential due to an extended charge distribution. It's just a mathematical "trick" i don't quite get. He goes from $$\int\int...
  36. Diracobama2181

    How Do I Solve These Scattering Cross Section Problems?

    a) I have $$d\sigma=-\beta sin(\theta)d(\theta)+2\gamma sin(\theta)cos(\theta) d\theta$$ and $$d \Omega=2\pi sin(\theta) d \theta$$ so $$\frac{d\sigma}{d \Omega}=-\frac{\beta}{2\pi}+2\gamma cos(\theta)=|f(\theta)|^2$$ b) $$\sigma(\theta)=\alpha+\beta cos(\theta)+\gamma...
  37. Amartansh

    Difference between "Inverse Scattering" and "Diffraction tomography"?

    I saw there are two types of methods for RF imaging, Inverse Scattering" and "Diffraction tomography. What are the differences between them?
  38. Amartansh

    Rayleigh limit in inverse scattering imaging

    I was reading that in inverse scattering approach, we divide the region of interest into discrete grids and size of each grid should be much smaller than the incident wavelength (usually smaller than one-tenth of wavelength). By this logic, theoretically, I can use inverse electromagnetic...
  39. Amartansh

    Understanding the Multiple scattering effect

    What does it mean by induced source in multiple Electromagnetic scattering by large scatterer? While solving volume source integral to model multiple scattering by large scatterers, do we consider each discrete small region as induced dipole or a point source? Why it is a rule that these small...
  40. N

    Scattering of Light in Different Media

    The sky is blue because the blue wavelength is rayleigh scattered. Now let's take a glass of water you use for drinking. The ordinary reasoning is that water is not rayleigh scattered. But If water were to be scattered by all wavelength. How should the water look like? I just want to have an...
  41. I

    Central Potential Repulsive Scattering

    I have one problem with this question that I've been struggling with. Initially, the total energy should be given by E =m1* v0^2/2 (as U goes to zero, and m2 is at rest). However, if we write r = r1 - r2, we get E = mu*rdot^2/2 + U_eff(r), U_eff(r) also goes to 0, where mu is the reduced mass...
  42. C

    Understand a Conceptual question on Scattering

    Homework Statement: Hi I am totally lost here, my answer matches with one of the choice but i think my reasoning is total bs please help me Homework Equations: # 19
  43. e101101

    Rayleigh Scattering: Blue/Red Irradiance Ratio & Distance

    Hi everyone, does the scattering irradiance ratio between blue/red change with distance with Rayleigh scattering? I would think that it would remain generally constant..
  44. F

    I Scattering of a scalar particle and a Fermion

    Hello everyone, I am working on the following problem: I would like to determine the invariant Matrix element of the process ##\psi\left(p,s\right)+\phi\left(k\right)\rightarrow\psi\left(p',s'\right)+\phi\left(k'\right)## within Yukawa theory, where ##\psi\left(p,s\right)## denotes a fermion...
  45. Amartansh

    Simulating forward electromagnetic scattering for a dielectric

    I want to simulate 2D TM scattered fields (microwave range) for austria profile. Austria profile has 2 circles beside each other of certain dielectric and one ring below the circles. So basically I have three dielectric objects in the domain of interest and also positions of Tx and Rx are known...
  46. L

    A Timescale of virtual photon interaction in particle scattering

    I'm studying the electron-proton deep inelastic scattering. In the notes that I'm studying from the author states that the time-scale for a virtual photon to interact with a proton is ##τ\sim\frac{1}{Q}##, where ##Q## is the momentum transfer with ##Q\gg M##, which is the mass of the proton. I...
  47. Amartansh

    Classical Electromagnetic Scattering

    What are the best resources (books/lectures/articles) to learn Classical Electromagnetic Scattering (forward and inverse modelling)? I am an Electrical Engineer so I would prefer some resource which is from an applied perspective. My specific research topic is related to modeling and analyze 2D...
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