Questions tagged [scattering]

Scattering is a general term for several physical processes in which radiation of some sort changes direction due to an interaction with a particle. Scattering can be classified by the type of radiation (ie, electromagnetic, x-ray, neutron), or by the relative sizes of the wave and the particle (ie, Rayleigh, Mie, geometric).

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Does blue light scattered from air molecules transmit them kinetic energy affecting their temperature?

If it cannot ionize them does blue light scattered from air molecules transmit them part of its kinetic energy so that their temperature increases? If scattering is weak in upper atmosphere, are there,...
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Blue laser scattering in the atmosphere: At what distance the laser source is no more seen as a pointlike source due to Rayleigh scattering?

Blue laser scattering in the atmosphere: At what distance the laser source is no more seen as a pointlike source due to Rayleigh scattering? Does this distance depend of the intensity of the laser ...
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Why the blue component of the moonlight is less scattered in Earth's atmosphere than the sunlight?

Why the blue component of the moonlight is less scattered in Earth's atmosphere than the sunlight? So when rising one of them looks yellow and the other red. Is this only matter of their brightness ...
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Modelling error in inverse scattering problem [closed]

An inverse problem in science is the process of calculating direct and indirect observations from the phenomenon through the mathematical model. Inverse problem consists of data (observation), ...
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Reference request for computing gluon scattering amplitudes in $\mathcal{N} = 4$ SYM in the planar limit

Could someone please provide me some reference(s), preferably that I can find online for free (arXiv for example or other), which would explain in some detail how to calculate gluon scattering ...
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What is the thinnest metallic sheet commercially available and what is the thinnest sheet of metal producable in lab?

I was curious reading about rutherfords alpha scattering experiment in which they used the thinnest gold foil available at the time. I was wondering after a 100years how thin the sheet of a metallic ...
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Quasiparticle interference experiment - why backscattering is usually dominant

I am reading this article about quasi-particle interference (QPI) experiments. In the simplest case where they use QPI to study the surface of Cu, it is said that the dominant elastic scattering event ...
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1answer
47 views

Solving for transmission coefficient in the finite square well

Consider a finite square well of depth $V_0$ and which extends from $-a$ to $a$. For $|x|>a$, $V=0$. The wavefunction ansatz one can propose for an incoming wave from the left $Ae^{ikx}$ is: $$ \...
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Our sky is blue. Would a planet that has 1% of earth's atmospheric density have the same colour sky assuming the sun is exactly the same as ours?

If not then which colour would the sky be and why? Could you determine which elements the atmosphere is made of just by looking at the colour of the sky? Is it possible to know the density of a planet ...
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Why are there oscillations in small angle scattering log-log plot?

In a log-log graph of diffused intensity I function of q (diffusion vector) you're supposed to get a linear function which slope equals the fractal dimension of the system you're studying. I get a ...
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Is Rutherford scattering formula inconsistent with reality?

On our way to deriving the famous Rutherford scattering formula, we get a formula for the fraction ($f$) of incident alpha particles scattered by $\theta$ or more and this formula has the form $$f=\pi ...
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1answer
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How to understand the Fresnel relation $1+R=T$? [closed]

From the perspective of energy conservation, we are familiar with the relation $T+R=1$ (Set the incident wave amplitude as 1, $T$ and $R$ are Fresnel transmission and reflection coefficient, supposing ...
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The relationship between scattering width and radar cross section

I have a question regarding Knott's book on radar cross section (RCS). Specifically, I am interested in the relationship between the 3D RCS, $\sigma_\text{3D}$, and the scattering width (2D RCS), $\...
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If we can see the light reflected off objects, why can't we “see” light? [duplicate]

It's said that light is invisible because photons don't strike each other, then why we do see the reflected light from other objects?
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Can you write transmission, reflection probabilities in terms of bra-ket notation?

I am learning about the transmission and reflection coefficient in scattering theory via David Tong's note section 6. I understood transmission, reflection probabilities defined on page 186 as ...
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Scattering cross sections from isospin invariance

Considering isospin invariance, $[H,T_i]=0$,we can we show that the scattering cross sections for these $3$ pi mesons, $ \sigma_a(pp \longrightarrow \pi^+d)$, $ \sigma_b(np \longrightarrow \pi^0d)$ ...
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How is the collapse of the wave function explained through electron atom scattering?

I have learned from this answer/comments that people have put much effort into understanding how scattering of electrons on atoms could explain where, for example on a screen behind a double-slit ...
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Why does extinction efficiency, $Q_{\rm ext}$, in Mie theory approach 2 in the limit of large particles?

I'm having some conceptual trouble understanding the extinction efficiency, usually denoted as $Q_{\rm ext}$, in Mie theory. I know that $Q_{\rm ext} = Q_{\rm sca} + Q_{\rm abs}$ where $Q_{\rm sca}$ ...
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Transparency of oil paints with the passage of time

I know that oil paints become transparent after the passage of time (as in the case of many of the Old Masters), because air oxidizes oil, raising its refractive index, so that scattering of light ...
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The effective (time integrated) Hamiltonian in the Heisenberg picture

In the Heisenberg picture of quantum mechanics, the states are time independent, while the operators are. The time evolution of (not explicitly time dependent) operators $A(t)$ is then given by the ...
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1answer
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How to understand what is happening in this freshman X-ray scattering diagram?

In this Yale chemistry course I am taking on YouTube, I am stuck on something at 21:36 in the lecture. I am trying to understand the diagram Professor McBride is using to explain how X-Rays scatter ...
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How do you derive the Rayleigh Roughness Criterion

In many textbooks and papers discussing electromagnetic scattering from rough surfaces, the Rayleigh Roughness Criterion is defined as: $h < \frac{\lambda}{8\cos\theta}$ (1) In (1), $h$ is the ...
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1answer
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Can’t find the right impact parameter - flux of particles scattered by surface of revolution [closed]

I’ll be so happy to understand what am I doing wrong. There is no potential in the question so I assumed this is solvable by geometry alone. The question ask for the impact parameter while $$\rho=\...
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S-wave reonances of $V(r)=-c^2(r+1/r)^2, c \in \Re$

I need to know the s-wave resonances of the central potential $V(r)=-c^2(r+1/r)^2, c\in \Re$. Here we have a well attached to a barrier so we expect quantized quasibound/ metastable/ resonant states (...
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What is meant by the “Leading Log Approximation” in the context of the steep rise in gluon distribution at small bjorken x?

I am taking a course in QCD, and we're learning about Regge Theory, Pomeron exchange and structure functions. I want to know what is meant by the leading log approximation in the context of the gluon ...
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1answer
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Upconversion Particles in Biological Tissues

So I was learning about upconversion particles in biological tissues and understand mainly how they work. UV-Vis light are scattered and absorbed by tissues, so we instead send near-infrared light to ...
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2answers
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Understanding Jet Clustering: Why is only $p_{T}$ used?

Let's only consider iterative jet clustering algorithms. Famous ones are the $k_{T}$ ($p = 1$), anti-$k_{T}$ ($p = -1$) and Cambridge/Aachen ($p = 0$) jet reconstruction algorithms. All these ...
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1answer
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Transition rate derivation in non-relativistic quantum scattering

I am reading Principles of Quantum Mechanics by Shankar, here's a derivation I am puzzled. To evaluate probability of particle entering detector in some solid angle, using $S$-matrix and Fermi's ...
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1answer
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Do objects absorb or reflect gravitational waves?

We all know that objects can absorb and reflect electromagnetic waves. It stands to reason the same might be true for gravitational waves.
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68 views

Bound states and scattering states - Time-dependent Schrödinger equation

If we have a quantum system described by the time-independent Schrödinger equation (TISE): \begin{equation} -\frac{\hbar^{2}}{2 m} \frac{d^{2} \psi}{d x^{2}}=E \psi \end{equation} We have two possible ...
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Crossing symmetry violation by passing from proton-proton scattering to proton-antiproton scattering?

The elastic proton-antiproton $(p \bar p)$ scattering is a crossing symmetric process of elastic proton-proton $(pp)$ scattering. It is known from Regge theory that the elastic $pp$ and $p\bar p$ ...
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Is it possible to slow down a particle beam with photon laser?

Suppose I have a particle beam, a beam that contains sodium atoms, and a laser beam that emits photon particles with some wavelength (say $\lambda$). If I turn on the beam from one side and the laser ...
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When is the phase shift small and linear in $k$ for low energy $s$-wave scattering?

I was wondering when should we expect the phase shift to be small and linear in $k$ for low energy $s$-wave scattering, so that the scattering length can defined as $-\delta/k$, since the general form ...
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Why is mist gray but water clear?

I was walking outside one cold afternoon with my mask on and my glasses began fogging up. The mist was initially gray. I kept walking without cleaning my glasses and eventually enough mist collected ...
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Light by light cross section using equivalent photon approximation (EPA)

I'm trying to understand how to do a numerical calculation of the light by light cross section utilizing the Equivalent photon approximation (EPA). I'm considering two incoming electron beams of ...
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Compton scattering from moving frame

How does an observer see a Compton Scattering from a reference frame moving with constant speed $\vec{v}$ in the photon direction? (Assuming electron is at rest in the lab frame)
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1answer
74 views

What is the minimal Hamiltonian for Compton scattering?

Thomson scattering of photons from free electrons is the low-energy elastic cousin of Compton scattering and is well-described by the following non-relativistic light-matter Hamiltonian using minimal ...
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2answers
160 views

Has the double slit experiment with classical projectiles ever been performed?

I was wondering if the double slit experiment with mascroscopic objects has ever been tried. In any course of quantum mechanics, a way to introduce quantum effects is to introduce the double slit ...
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How can you show that there is destructive interference if Bragg‘s law is not fulfilled?

How can you show that there is destructive interference if Bragg‘s law is not fulfilled? For a given angle $\phi$, spacing $d$ and wavelength $\lambda$: suppose that the path difference between the ...
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25 views

Inelastic collisions and transformations in QM

Let's talk about the simplest non-relativistic, spinless, 1D case. Consider some kind of inelastic process accompanied by particle transformation, e.g. $a + b \to c^*$ or $a + b \to c + d$. Assume ...
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Why could the early afternoon sky be pale yellow?

The sky at my home is very misty today, nothing special about that for a winter day. But the sky's color is unusually yellow, while it normally looks plain white. It is about 2 PM here, so definitely ...
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1answer
59 views

What exactly azimuthal symmetry means?

In quantum mechanics, when discussing scattering by a potential, it is written that we are assuming the potential is spherically symmetric so the function cannot depend on $φ$. Azimuthal symmetry ...
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Partial waves in scattering amplitude

I am reading a paper and I encountered this statement: Pauli exclusion principle requires the annihilation cross-section to be d-wave suppressed, regardless of nature of the self-interaction I had ...
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1answer
54 views

Why we use partial wave analysis for scattering amplitude? [closed]

Why we use partial wave analysis for scattering amplitude? We can do it by Born approximation also
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75 views

Changing white light to blue light without filter?

This may sound like a daft question, considering a filter would be the easiest way to make this change. However, I was wondering if white light could be changed into blue light by manipulating ...
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1answer
45 views

What does it mean for a wave to be fully transmitted?

I have a misunderstanding concerning what it means for a wave to fully transmit from one medium to another. I will demonstrate. Say we have a wave $\psi_1 =e^{i(kx-\omega t)}$. When it encounters a ...
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1answer
41 views

Why this factor $1/r$ is used in the equation of asymptotic behavior of scattered wave?

Why $1/r$ factor is used? And in this equation $f_k(\theta,\varphi)$ is scattering amplitude then why plane wave ($e^{ikz}$) amplitude is not used?
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1answer
65 views

Compton Scattering in Substances Other Than Graphite

When reading about Compton scattering I see the following figure: It shows that as a function of scattering angle the scattered photons lose energy and therefore have a longer wavelength (lambda ...
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1answer
50 views

Does high energy limit of ionization process recover elastic scattering?

in my previous intuitive understanding, when some particle scatters with a bound state electron and leads to a continuous final state with recoil energy much larger than the initial binding energy, ...
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1answer
45 views

The ${\cal M}_{if}$ that appears in the Feynman diagrams - Are they probability ranges?

${\cal M}_{if}$ are probability amplitudes? This right here that this on top of each diagram, Why is it you cancel my questions that I asked anything special this is not cool I just wanted a help and ...

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