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.
What's wrong with this MATLAB code for Rutherford scattering, it won't run for me! :(
Hi,
I can't do matlab...and have to plot the trajectory of alpha particles in rutherford scattering. I've made an attempt, but i know I've gone wrong somewhere. Could someone tell me how to fix it? I'd be...
I just need an explanation of this. Found it in a question. :smile:
Also, photons when absorb by an electron in an atom, does the energy (if less than the ionisation energy) have to be exactly equivalent to one of the energy states and if it isn't what happens?
You probably think I suck at...
Homework Statement
Its not really a question, more something I am confused about i saw in the book.
If you have two beams of neutrons colliding in a scattering experiment, the amplitude of a particle in the incident beam hitting the detector is f, if there's a spin flip its g.
2...
Homework Statement
A beam of particles strike a wall containing 2 x 10^29 atoms per m^3. each atom behaves like a sphere of radius 3 x 10^-15 m. Find the thickness of the wall that exactly half the particles will penetrate without scattering. What thickness would be needed to stop all but...
Ok so I am doing a project on the derivation of the Compton Effect, and I would like to briefly discuss Thomson scattering, but I'm having a little trouble understanding what happens in Thomson scattering.
This is what I think I understand so far:
When a photon enters matter and interacts...
Homework Statement
Consider the situation where high-energy gamma rays are striking a detector after
scattering off of the electrons in the material surrounding a detector. Show that if
the gamma rays are perfectly back-scattered by the material, such that the scattering
angle is θ = 180...
Homework Statement
photon scatter angle is theta, electron recoil angle is phi
prove
tan(phi) = (1+hf/mc^2)^-1 cot(theta/2)
Homework Equations
The Attempt at a Solution
Conservation of energy is the same as in here:
http://en.wikipedia.org/wiki/Compton_scattering...
Dear participants of a forum.
The phenomenon of quantum entanglement arises only when there is the INTERACTION between two objects of a microcosm.
However there is a question:
What is such INTERACTION?
Whether the scattering matrix is the key moment in such interaction...
This is not a homework problem, just a question I encountered I thought I should figure out.
Homework Statement
....__... _______
..._____...|..|_ ..|-------------Energy
....|_|...|_|
...A...B.C.D..E...FEdited due to formatting of my picture. Please ignore the periods I had to use them to...
Homework Statement
Find the differential cross-section for small-angle scattering in a field
U(r)=a/sqrt(b^2 + r^2)Homework Equations
(let p be the greek letter ro, s be sigma, t be theeta)
the general formula for small angle scattering is:
Equation 1: ds=absolute value(dp/dt)*(p(t)/t)*do...
Homework Statement
Using conservation of relativistic energy and momentum, show that for Compton scattering from a free electron, the energy-angle formula for the electron is
T=m_0c^2\frac{2\alpha^2cos^2\phi}{1+2\alpha+\alpha^2sin^2\phi}
where
T = kinetic energy given to electon...
hi,
here's the problem:
imagine a heavy nucleus and an electron approaching it with some momentum pi.
it scatters elastically off the nucleus at some angle \theta and momentum pf. the nucleus can be considered to remain at rest, since it is so massive.
I have to start with the definition...
First off, this is not a request for a numerical answer. We've started discussing scattering matrices in my High frequency engineering class, and I'm having some trouble understanding wave mechanics. This got no attention in the homework forum, so I'll just copy paste from there.
In a 2x2...
Scattering parameter say, S11, can be defined as the ratio of the reflected wave from port 1 to the incident wave on port 1. If it is a 2-port network, we imply the condition that the load at port 2 is matched to the characteristic impedance of the line.
Take this excerpt from another...
Homework Statement
Alpha particles of kinetic energy 9.6MeV are incident on a silver foil of thickness 7.0 micro meters. For a certain value of the impact parameter, the alpha particles lose exactly half their incident kinetic energy when they reach their minimum separation from the...
Hello,
I want to do a scattering calculation with two particles scattering to two (other) particles relativistically.
Is it correct to use the following conservation laws?
\vec{p}_1+\vec{p}_2=\vec{p}_3+\vec{p}_4
\gamma_1 m_1c^2+\gamma_2 m_2c^2=\gamma_3 m_3c^2+\gamma_4 m_4c^2
where the...
Homework Statement
I'm supposed to calculate the scattering amplitudes of some spherically symmetric potentials in the Born approximation and just trying to figure out how that works in general and what a scattering amplitude is actually.
Homework Equations
1+1=2
The Attempt at a...
Homework Statement
If the maximum kinetic energy given to the electrons in a Compton scattering experiment is 10 keV, what is the wavelength of the incident X-Rays?
Homework Equations
\Delta\lambda = (h/mc)*(1-cos\theta)
E = hc/\lambda
\Delta\lambda = \lambdascattered - \lambdaincident...
I'm reading through the Introduction to Quantum Mechanics book by Griffiths (2nd edition)
and it is describing delta-function potential wells.
When it describes how to find bound states the energy is E < 0 (negative) in the region x < 0 (negative).
It says the general solution is:
\psi (x)...
Hi
For example in e-e- -> e-e- scattering (electron-electron scattering) the differential cross section goes to infinity as theta goes to zero. Consequently the cross section is infinite.
But how can we measure and interpret the cross section/differential cross section and interpret it as a...
This is actually for a graduate course but it's a basic special relativity problem, i.e. undergraduate-level material, so I'm posting it here...
Homework Statement
Homework Equations
U^{\mu} = (1, 0, 0, 0) (in the observer's rest frame)
V^{\mu} = (\gamma, \gamma \vec{v})
P^{\mu} =...
I can't find the value of the Yukawa coupling g, for neutron-proton scattering for example, where the Yukawa potential reads - g^2 exp(-m*r) / r. Can some1 tell me at least an approximate value?
I'm reviewing my scattering processes and can't quite pin down the difference between raman and compton...
It sounds like Compton scattering is exactly the same as Raman scattering (with inverse-compton = raman stokes scattering; and normal compton = raman anti-stokes scattering).
Also, just...
Homework Statement
A photon whose energy equals the rest energy of the electron undergoes a Compton collision with an electron if the electron moves off at an angle of 40 degrees with the original photon direction, what is the energy of the scattered photon.Homework Equations
E2 = (m0c2)2 +...
Homework Statement
Using energy and momentum conservation requirements, show that a free electron cannot absorb all the energy of a photon.
Homework Equations
Einstein energy-momentum formula:
(E)² = (mc²)² - (cp)², where m = mass, E = energy, c = speed of light, and p =...
Homework Statement
48. If a 6.0 keV photon scatters from a free proton at rest, what is the change in the photon's wavelength if the photon recoils at 90 degrees?
52. A gamma ray of 700 keV energy compton-scatters from an electron. Find the energy of the photon scattered at 110 degrees...
Hi,
I have a question regarding the Electron scattering angel Teta in formula in:
http://www.whfreeman.com/MODPHYSICS/PDF/3-2bw.pdf
which indicates Compton wavelength shift by:
labda2 - lamda1 = (h/mc)(1 - cos(Teta)). (3.40)
With Teta = 0 we get labda2 = lamda1 (no change of energy by the...
Perhaps this question is silly, but I don't entirely understand how elastic scattering of photons is even possible given that the directions of the incident/scattered photon differ. If there is a change in direction of the photons momentum, then there must be some momentum transferred to the...
A 0.88Mev photon is scattered by a free electron initially at rest such that the scattering angle of the scattered electron is equal to the scattered photon.How to find the angle??
Pion Nucleon Scattering and a bit about group theory/ representations
Hello everybody,
I am going through Ryder's book about Quantum Field Theory right now. In the chapter about Pion Nucleon scattering he writes the interaction term like
L_{int}=ig \bar{\psi} \gamma_5 \tau_a \psi \phi^a...
I need to know the magnitude of the velocity perturbations (peculiar velocities) dv at time of last scattering as function of the multipole moment.
The temperature power spectrum of CMB shows temperature fluctuations dT/T ~ 10^-5. That naively suggests the peculiar velocities were dv/c ~...
In air, high angle scattering of alpha radiation from Am241 is almost
non existent. When a sample is pulled away from a detector the
detection rate drops as 1/r^2.
But if a thin aluminium foil is inserted in the path almost half of
the radiation disappears somewhere else, it do not reach...
Homework Statement
Problem: Show that unitarity (of the S-Matrix which has implications to the amplitud of scattering of 2-2 bodies scattering of unstable particles) fixes the numerator of the Partial wave amplitude near the \Delta-pole,
q M_1 =...
consider deep inelastic scattering of e-p.assuming that a graviton acts as a propogater in this interaction how would it effect the structure functions of the proton.now we have a spin 2(graviton) instead of the usual spin 1(photon).basically what is the effect of this spin change on the...
My specialization is Mechanical engineering. So I'm dumb to many of the electromagnetic concepts. But right now, I have to analyze this problem.
This is the statement "The incident plane wave as well as the scattering field is expanded into radiating spherical vector wave functions. The...
Hey guys,
Hit a bit of a snag in something I'm working on and need some help. I've attached an image so hopefully that will help a bit. Basically I'm trying to model a mass m moving through a potential that is, currently, a grid of point masses and seeing how the overall distance traveled in a...
hi,
How do we differentiate between quasi elastic scattering and non elastic scattering?
Was told that dynamic light scattering falls under the quasi elastic scattering... but it seems to me that light undergoing such scattering have its frequency shifted... this seems to me to be that...
Hi all,
Has anyone got the numerical expression for calculating the Fock scattering function when the Fock parameter ranges from -3.0 to 2.0?
In the reference entitled: "Introduction the the Uniform Geometrical Theory of Diffraction" by D.A. McNamara, C.W.I. Pistorius, and J.A.G. Malherbe...
I have a mental picture of photon scattering that goes like this:
An atom spontaneously emits a single photon (or particle). Since the photon hasn't been observed, its wavefunction and probability expands out like a sphere. If I take my photodetector and place it at some point on this...
Hi! I know that x-rays interact with matter (compton effect). But I also know that when X-rays are incident on a crystal, they are diffracted following the Bragg's law.
My question is: why is the x-ray diffracted when it is incident on a crystal, but it isn't scattered by comtpon scattering?
in order to reduce unwanted light scattering from a sample, a trick often used is to immerse it in a higher refractive index liquid . This is called index matching.
Could anyone elaborate how it reduces unwanted scattering?
regards
pilo440
Homework Statement
A beam of particles, each of mass m and energy E0,is incident on a square potential energy well of width L and depth V0,where 0 <V0 < h(bar)^2\pi^2/2mL^2 . Outside the region of the well, the potential energy is equal to zero. Suppose that E0 is the lowest energy at which...
Suppose I have a two-level atom trapped in a certain area, initially in ground state. I have a light shining on it, the atom jump from ground state to the excited state and emission a photon spontaneously. Can I say this is a scattering process?
I pretty much understand the idea of photon of some wavelength λ exciting an electron in atom above the ground state if the difference between the ground state and a higher energy level is exactly hc/λ. Not hard, but what happens to the electron and the atom when the photon energy is below the...
hey guys, here's the question.
Physicts probe inside neutrons and protons by scattering electrons off them.
(i) Explain briefly why it is important that the electrons have high energy.
(ii) Assuming that the protons and neutrons were at rest, calculate the minimum momentum to which the...
Would I be right in saying the difference between Rayleigh and Tomson scattering is that Tomson involves scattering off a free electron, whereas in Rayleigh the incident wave is scattered off a bound nucleus?
Alos are there any other differences in the two scattering processes?
Thanks
I've been searching online and in my qft books (im an early phd student) and I can't find a clear explanation. If you have one, or can simply direct me to a page that does please do so.
For a generic scattering/decay matrix :
\sum _{polarization}
\left|M|^2\right.=\sum _{polarization}...
Hello,
I was wondering if anyone is familiar with using the Inverse Scattering Transform to solve some kinds of non-linear differential equations.
I have been trying to look up examples of solving non-linear differential equations using the inverse scattering transform, but all the...
Hi. Landau and Lifgarbages give an equation describing the angle of deflection of a charged particle of a given initial velocity and impact parameter. It's given on page 102 of their Classical Theory of Fields, available here...
proton mass 938MeV/c^2. Consider an elastic collision between two protons. IN the centre of mass frame the kinetic energy of each proton is equal to its rest energy.
calculate the speed of the protons in the CM frame.
clearly they will be equal and opposite velocities so the two speeds...