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.
I have some confusion about multiple scattering.
We always say that the problem of single scattering is always deterministic in nature.But while modeling the problem of multiple scattering, we take that the problem is stochastic in nature. I don't understand why. Why multiple...
I'm having difficulties understanding the role of scattering on phase coherence in the Aharonov Bohm Effect.
In particular I am trying to reconcile the following points:
Inelastic scattering destroys phase coherence and prevents us to see the Aharonov Bohm Effect.
Elastic scattering does...
I hope that this will be a simple question, but I had difficulty finding an answer by searching.
If the Cosmic Microwave Background radiation was radiated over 13 billion years ago, and we are able to see it now, then does this mean that the radius of the universe at that time must have been...
Homework Statement
We have a double step potential described by
-V0 for |x| < a/2
0 otherwise.
That is, three regions separated at -a/2 and a/2 with 0, -V0 and 0
We have a particle coming from the left with E > 0. Find the transmission amplitude S(E)
Homework Equations...
I have seen many 'photoelectric effect vs compton effect' Questions in this and other forums, but i am still not convinced. I can see how photoelectric effect points to the particle nature of light. But i don't see how compton effect as a separate experiment is needed to confirm this. The only...
Dear PF,
although I've gone through many particle phyics lectures and textbooks, I still have problems with wrap my mind around the whole scattering theory and cross section topics.
1. Is there a deep reason why cross sections for charged, point-like particles decrease with the center-of-mass...
The question is this: When a photon bounces off an electron, it gives some of its energy to the electron. The photon has no mass, however, and it must continue to travel at speed c. How is its reduced energy manifested?
Now, I do somewhat understand what the Compton effect is and I read in my...
Homework Statement
Every second ##N_{Li}=2\cdot 10^8## atoms of ##_3^7Li## with kinetic energy ##30 MeV## is Coulomb scattering on ##_{26}^{56}Fe## plate ##d_{Fe}=0.3mm## thick with density ##\rho =7800kg/m^3##. Under angle of ##30^°## and ##r=0.2m## away from the plate we have a target with...
I need a little more explanation about the solution discussed in the following thread.
https://www.physicsforums.com/showthread.php?t=410830
Do I've to lookup for orthogonal functions?
PS. required thread is closed so I'm posting here.
Hi thanks for reading. Is it possible to derive an explicit formula for the neutron scattering cross section as a function of energy and angle of incident and scattered neutrons respectively? This is for a (n,p) elastic collision with H-1 as the target.
Homework Statement
A 2 mm thick plate of natural Silver absorbs 11% of neutron flux with kinetic energy 1 eV. What is the total scattering cross section for neutrons?
##\rho (Ag)=10500 kg/m^3## and ##M(Ag)=107.9kg/kmol##
What is the ratio between the calculated cross section and geometric cross...
Can someone maybe explain me(or has a good link to a page where this is explained)
why scattering in perpendicular direction is suppressed by destructive interference for large particles.
i'm trying to understand mie and rayleigh scattering and don't really get why there is no scattering in...
p + n -> p + n + ∏^-
check charge conservation:
+ 1 + 0 = +1 + 0 -1
it doesn't equal so it wouldn't be possible? please could someone suggest why this is, or if I'm doing something wrong?
thanks in advance.
edit is it because the pion is the force carrier therefore should not be...
I am trying to follow a Maxwell's equations derivation for light scattering but don't understand 'why' the authors do the steps they do at this start bit. Help would be greatly appreciated...
It starts with the incident electric field equation.
\textbf{E}_{0}(\textbf{r},t) = \textbf{E}_0...
Hi,
My textbook describes Compton scattering the following way:
"...an x-ray photon...has a collision with a slow moving electron...the photon transfers energy and momentum to the electron [and recoils]..."
Is it not true that by definition when a photon collides with a particle it...
Homework Statement
Using the Eikonal approximation
(1) Determine the expression for the total scattering cross section of a particle in a potential V(r)
(2) Using this result, compute the total scattered cross section for the following potential.
V(r)=
\begin{cases}
V_0, \text{for } r < a \\...
According to http://en.wikipedia.org/wiki/Delbr%C3%BCck_scattering
" ... based on the relativistic quantum mechanics of Dirac according to which the QED vacuum is filled with ... electron-positron pairs ...[which] should be capable of producing coherent-elastic photon scattering..."
If...
I'm writing a program for simulating the angle distribution of scattered particles from a gold nucleus but I doubt the results. I don't know...But it would be very good if someone check it and give some hints.
I also want to ask should I vary both initial speed and impact parameter in one...
Homework Statement
Two laser beams, one of wavelength 633 nm and intensity I1 = 4.00x106 W/m2 with a circular beam profile D1 = 1.33 mm in diameter, and one of wavelength 442 nm and intensity I2 = 4.00x106 W/m2 with the same circular beam profile are fired, crossing at an angle of θ = 45°...
hello,
reading about the theoretical background of optical trapping. I was wondering how the scattering force originates. Often it is written, that the scattering force is due to reflection, but also the central rays refracted by a dielectric object should contribute ? So the scattering force...
If a photon collides with an electron not moving, and you know the momentum of the photon before and after, and the electrons momentum, is it possible to know the direction of the electron and the photon after the collision?
Hi all
Can someone please describe how the form factor used in Rutherford scattering is applicable to neutron probing of nuclei?
Also, is the kinetic energy required to probe a given radius simply given by the de Broglie wavelength where momentum, p >= h-bar / Radius ? (Relativity...
Hi,
I am self-teaching Quantum Elctrodynamics, and have come across something which I do not understand. I would appreciate feedback from anyone on this specific issue from Atchison & Hey, "Guage Theories in Particle Physics" pg 238-239:
In calculating the u-channel electron-muon...
I have the following homework question I am working on.
I am given three scattering angles: 42.8, 73.2, 89. (in degrees) without the wavelength of the light used. I am to show that these are consistent with a diamond lattice.
I started with Laue's Law: delta(k) = G and according to the...
Homework Statement
To study the structure of the lead nucleus, electrons are fired at a lead target. Some of the electrons actually enter the nuclei of the target, and the deflection of these electrons is measured. The deflection is caused by the charge of the nucleus, which is distributed...
I have to write some training on the following and I really have no idea. Is this correct? Any help is greatly appreciated;)
Inelastic scattering
In inelastic scattering, a neutron collides with and is temporarily absorbed by the nucleus of the target particle. This excites the nucleus...
If we were to scatter high energy (say E>>m_e) electrons off each other is there a hand wavy argument to come up with a rough estimate for the ratio of inelastic to elastic cross-sections?
Would the dominate inelastic collision between two high energy electrons result in a single photon...
Hello everyone
I need some one once and for all to give me the steps to have a clear step by step idea about the stimulated Brillouin scattering inside an optical fiber please and thank you
I've been reading Kittel's book on Solid state physics and while it's been mostly smooth sailing, the abrupt loss of rigour in places in unsettling. In particular, the bits about scattering seem to be just thrown in here and there without any rigourous mathematical treatment at all.
He talks...
Homework Statement
Prove the relationship between the momentum of the neutrino or nucleon in an elastic scattering of them in the center of mass frame is p'^{2}=m_{1}E_{2}/2, where p' is the momentum of the neutrino or nucleon in the center of mass frame, m_{1} is the mass of the nucleon...
Consider a photon which is scattered by a crystal elastically. In an elastic scattering we have
|k_i|=|k_f| and k_f - k_i = G
where
G
is a reciprocal vector. But according to momentum conservation, the crystal must obtain a momentum
\hbar G
and hence the kinetic energy, so according...
For a double well consider an incident wave from the left.
The wave gets transmitted and reflected at first well. The transmitted wave then hits the second well where it also gets both reflected and transmitted. The reflected part then hits the first well where it reflects and hits the second...
[Mentor's note: This thread does not use the template because it started in one of the non-homework forums. I moved it here instead of deleting it and asking the poster to repost here, because it had accumulated several useful replies.]
Hi.
I have the exact same problem that ZachWeiner had in...
I have a couple of simple questions:
- wiki says (http://en.wikipedia.org/wiki/Compton_scattering) that it " is an example of inelastic scattering". Is that true?, isn't all energy lost by the photon absorbed by the electron?
- is the electron really at rest? doesn't his energy/momentum...
Homework Statement
An X-ray source of wavelength gamma is directed at a sample; determine the maximum speed of scattered electrons.Homework Equations
KE=(\gamma-1)mc2=hc/\lambda - hc/\lambda'
The Attempt at a Solution
I've been provided with the solution using the formula above, however it...
Homework Statement
Photon with ##\lambda =10^{-12} m## hits an electron (Compton scattering). After the interaction the photon and electron move under relative angle of 90°. Calculate the kinetic energy of electron. Hint: First find the relation between ##\theta ## and ##\varphi##. (##\theta...
This is killing me; not sure if I'm over-complicating or under-complicating it. I’m trying to understand if there is any difference between acoustic scattering and diffusion, and how that differs from attenuation. When particles collide, a small amount of heat is created, since the collision...
Homework Statement
I'm trying to work out the derivation of the the Rutherford scattering trajectory. I understand the conservation of linear momentum, and that the only force acting is the coulomb force between the incoming particle and the target nucleus. Early on in the derivation I'm...
Homework Statement
The fraction of 6.0 MeV protons scattered by a thin gold foil, of density 19.3 g/cm^3, from the incident beam into a region where scattering angles exceed 60° is equal to 2.0(10^-5). Calculate the thickness of the gold foil.
Homework Equations...
Homework Statement
We want to fin an expression for \theta, the Rutherford scattering angle.
I have an expression that I derived for a hyperbolic trajectory, of the form \frac{(x+x_0)^2}{A^2}-\frac{y^2}{B^2} = 1. We wanted it in terms of α, ε, where α is a constant ( \alpha =...
term “scattering” more of a general process
Is the term “scattering” more of a general process which incorporates the linear effects of reflection, refraction and diffraction?
Greetings,
I think this will be a very quick thread. I am new to using Feynman diagrams, and have run into something that I find puzzling. The lowest-order Coulomb interaction Feynman diagram is (image from Wikipedia Moller Scattering article)...
After looking at Umklapp scattering, I believe I have finally gotten most of it down, but a few things are still not clear.
1) Momentum is not conserved for certain phonon collisions, and a certain number of reciprocal lattice vectors are transferred to the crystal lattice...
I am currently redaing Goldstein's Classical Mechanics (3rd ed. 2002, with Poole and Safko). The sections 3.10-11 deal with scattering, of the type originally studied by Rutherford, and which led him to formulate his "planetary system" atom model.
Rutherford fired a beam of positively charged...
Hi,
I recently read the following article http://arxiv.org/pdf/0805.2895v4.pdf which deals with dark matter scattering and I have difficulties in deriving formula (1).
The problem is the following, we have a nucleon (mass m1, velocity u1) scattering from a dark matter particle (mass m2...
Inelastic scattering is the scattering event in which heat is produced. But we know that heat is also due to particles' vibration. Therefore when the vibration is made in target by incident particle, the target would vibrate (in other words, phonons or heat are produced). Thus heat is a type of...
Homework Statement
I'm working with the Yukawa theory, where the interaction term in the Lagrangian density is g\varphi\overline{\psi}\psi. As an exercise for getting used to using the Feynman rules for the theory, I'm asked to show explicitly (i.e. I'm not allowed to invoke charge...
Hi! I am extremely confused on what seems to be quite a simple question. The question contains a graph of root mean square radius <r^{2}> plotted against A^{1/3} where A is the nucleon number. In the lecture notes he specifies that <r^{2}> is not the same as R but does not really say...
It is well known that back-scattering of surface electrons in topological insulators is prohibited due to Kramer's degeneracy theorem as long as Time Reversal Symmetry is not broken by magnetic field or magnetic impurities.
I would like to know what effect this has on scattering length and...