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Questions tagged [plasmon]

The quantum of plasma oscillation, arising from the quantisation of plasma oscillations

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Can high intensity laser excite surface plasma waves?

As we know, light in free space cannot excite plasma waves. However, it is possible to get help from the prism, grating or surface modification. However, with the help of two high-intensity laser ...
6 votes
1 answer
557 views

Understanding the Plasmon dispersion relation to first approximation

Plasmons are quantized oscillations of the charge density in solids, and are found in basically all conducting materials in nature. For light in vacuum, the dispersion relation is required for ...
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1 answer
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Electric current dipole moment

Electrical Current Dipole of dipole moment $\mathbf{p_{EC}}$ has unit of $A\cdot m$. My knowledge of dipole moments unfortunately stopped in high school where I learned that dipole moment $\mathbf{p}$ ...
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1 answer
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Looking for a book of which I have one chapter about plasmons

I am looking for a book of which I have one chapter. I tried to find this book by references and by copying the text in the GPT chat however without success. One chapter was sent to me by a professor ...
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51 views

Are energy levels of metal nanoparticles discrete?

I will start with the quote from the book: "Plasmonics Fundamentals and Applications" by Stefan Maier. In the very first page he says "Even metallic nanostructures down to sizes on the ...
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Extremely strong peak around 10 eV energy of Aluminum crystal in an x-ray inelastic scattering experiment

I conducted an experiment where I measured Bragg reflection for two different atomic planes (200 and 400) of Aluminum crystal at an energy of 10 KeV. Then, in each of these two measurements I shifted ...
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3 answers
481 views

Why does plasmon have higher energy than phonon?

In my mind plasmon is movement of electrons and phonon is movement of atoms in an lattice. movement of atoms should have a large energy because atom is larger.
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1 answer
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How to find plasmon from Landau-Silin equation?

In David Pine's Theory Of Quantum Liquids: Normal Fermi Liquids, it's said that we can find charged Fermi liquid has plasmon modes easily from Eq. (3.40), replicated as follows: $$ (\boldsymbol{q} \...
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1 answer
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Boltzmann equation: how to estimate the relaxation time?

A widespread approximation of the full integro-differential Boltzmann equation is the so-called "relaxation time approximation", where the collisional integral is replaced by: $$ \partial_t ...
4 votes
1 answer
613 views

Why are agglomerated gold nanoparticles black?

I put a drop of aqueous red colloidal gold on a glass. After the drop dried I saw that remaining nanoparticles were black instead of red. Why black? Does it mean that plasmon resonance is so strong ...
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Plasmon and The Orientation of the Plasma Oscillation

The electric field wave resulting from plasma oscillation can be broken down into the transverse and longitudinal components, whose frequencies are given by $$\omega_{transversal} = \sqrt{c^2k^2+\...
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1 answer
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Laser on metal surface: What happens in terms of photons, plasmons, phonons and their interactions?

I'm trying to better understand what exactly happens when a laser beam hits a surface (apart from reflection). Say I have a thick gold surface (could be coated with gold nanoparticles if that helps) ...
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Confinement of electromagnetic field in coaxial cable

I wonder about the situation when we apply AC voltage or RF voltage on coaxial cable. Typically, the lateral dimension of coaxial cable is smaller than the wavelength of electromagnetic field in such ...
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Can plasmon nanoparticles be displaced by EM field’s?

As at specific frequencies of light, a plasmonic nanoparticle’s electron cloud will predominately shift to one part of the material, will this cause the material to shift in that direction?
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Can someone help me in understanding what actually plasmons are?

This question might have been asked several times but I am confused on this topic. What actually are the plasmons? Do they only exist in the case of metals or they can be found even in semiconductors? ...
2 votes
1 answer
126 views

What do you mean by non-radiative surface plasmons?

I would like to know if anyone can tell me what we meant by non-radiative Surface plasmons, when we look at the dispersion relations?
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1 answer
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How do wave equations have an exponential solution involving wave vector and the propagation constant?

I hope you all are doing well! I was trying to derive the propagation constant for the wave vector of the surface plasmons. I have uploaded the document below, which is the following: Here , is the ...
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What are hot electrons?

What are they? How are they created? And what do they have to do with plasmons? I searched the web, but I would like more reliable and straightforward sources.
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1 answer
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Using flat or thin glass for Surface Plasmon Resonance

SPR is typically created using prism with a thin gold film on the other end. I was wondering if I cut the triangular prism (using a glass cutter at home) into thinner slices, would this have an impact ...
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What is the value for the plasmon frequency of intrinsic $\rm Si$?

I found some values for the plasma frequency $\omega_p$ of doped $\rm Si$, but not for intrinsic Si. Because of this, I tried to calculate it with $$ \omega_p^2 = \frac{ne^2}{m_\text{eff}\ \epsilon_0\...
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Golden quantum dots blinking and plasmons

I have been reading this article about golden QD as a way to avoid QD blinking. I understand that the surface plasmons here act as a nano antenna which strongly concentrates the light, but I don’t ...
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1 answer
127 views

Why is the speed of light ignored in this formula?

I'm trying to follow this worked example from my lecturer. Here's the question: and here's the answer to part 1: When I was attempting this without looking at the answer, I did correctly identify ...
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Features of plasmon and surface plasmon polariton

What is the difference between surface plasmon polariton and plasmon in the Hamiltonian? So let's say that I can diagonalize the Hamiltonian of the system I am studying no matter how complicated that ...
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1 answer
79 views

Prism parameters influence on Surface Plasmon Resonance

I have been interested in researching a lot about surface plasmon resonance (SPR) and I was wondering exactly how the thickness and the size of the prism affects the results? I could not find an ...
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1 answer
74 views

Is there software or code that is used to simulate hot ion plasma?

How are hot plasma simulated like fluid particles in CFD? Note: If this question is topic, i will eventually delete question but i only need an answer.
4 votes
1 answer
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What is plasmon really? Is it a charge density wave of electron gas or an EM wave that exists across the metal surface?

Sometimes plasmons are defined as collective plasma oscillations of the free electron gas in a metal. Therefore, plasmons must be a periodic modulation of electron charge density in the metal. But ...
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How can subwavelength grating provides mometum require to excite SPP?

Subwavelength grating shows no diffraction orders of course except 0th order, then how will it get required momentum to match with Surface plasmon excitation? is it any role of evanescent wave?
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Why can electrons excite surface plasmons but not photons?

On optical energy loss function, it is said that we don't see the surface plasmon. However, we can see the plasmon peaks on reflection electron energy loss spectroscopy. My question is that why ...
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Boundary conditions to be used in simulating plasmonics

I am very new to this field and trying to understand the boundary conditions usage when simulating plasmonic structures. I use CST studio suite for EM simulations.I am not understanding exactly what ...
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Are surface plasmons real eigenstates of the metal Hamiltonian?

I am studying surface plasmons on a nanosphere using classical electrodynamics but I was wondering if surface plasmons were or not eigenstates of the nanoparticle Hamiltonian. I think they are not ...
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Plasma Mode in Type I Superconductors above and below $T_{c}$

Consider a type I superconductor above and below $T_{c}$. Do the longitudinal oscillations of the electromagnetic vector potential below $T_{c}$ correspond to the well-known plasmon mode for a normal ...
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How to calculate plasma frequency?

i am wondering about Plasma frequency magnitude. According to the image i want to plot that graph.
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1 answer
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Plasmon modes of cylinder metalic particle

Solving Laplace equation gives plasmon modes of spherical metalic particle radius $R$, plasma frequency $\omega_p$. Famous result is $l = 0, 1, 2, ...$ $$\omega_l = \sqrt{\frac{l}{2l+1}} \omega_p$$ ...
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How can I take the Fourier Transform in the derivation of the Lorentz model? [closed]

How would one take the Fourier Transform of $$ m\frac{d^2x}{dt^2}+m\omega_0^2 x + m\Gamma \frac{dx}{dt} = -eE $$ to get $$ -m\omega^2 x+m\omega_0^2 x + jm\omega\Gamma x = -eE $$ This is in our class ...
2 votes
1 answer
406 views

Scattered fields in surface plasmon excitation with grating

We need to use prism-coupling (e.g. Kretschmann or Otto configuration) or use grating to excite surface plasmon between metal and dielectric. What I understand is that when we use a grating or ...
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Why does the group velocity of 2D plasmon diverge at small wave number?

Now plasma represents collective wave-like motions of charged particles. In 3D, their frequency is well known to be almost a constant, $\omega^{3D}_p \approx \sqrt{4\pi n e^2/m}$, with $n$=charge ...
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3 answers
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Are surface plasmons fermions or bosons?

When photons are converted into surface plasmon in some artificially designed structure such as metal gratings to provide the additional momentum, is the boson character of photons are preserved or ...
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1 answer
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What is the fundamental difference between a cavity and plasmonic cavity?

In the process of exploring plasmonic systems I have quite often come across the description of cavities as Plasmonic cavities. What is the exact difference between a normal cavity and a plasmonic ...
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2 answers
1k views

Bulk plasmon: why can't they be excited by natural light?

Here is what I have understood from bulk plasmons. We can show using an hydrodynamic model that they are are coupled to a longitudinal electric wave in a medium. Thus we need to create a ...
1 vote
1 answer
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Depolarization factors of a drude metal plasmonic spheroid

A practice question asks for the depolarization factors $ L_{i=x,y,z} $ of a plasmonic spheroid made of a drude metal having the same resonance as the SPP resonance frequency. The answer turns out to ...
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Number of TM Modes in Waveguide in MIM waveguide

I'm working on a practice question requiring me to find the total number of TM modes (including normal modes and SPP excitation modes) in a symmetric Metal-Insulator-Metal (MIM) waveguide only knowing ...
1 vote
1 answer
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Exciting surface plasmon polaritons - what is the purpose of air gap in Otto configuration?

I am currently reading about exciting surface plasmon polaritons (SPPs). One of the most common methods described in literature for exciting a SPP is using the Otto configuration (image from https://...
1 vote
1 answer
296 views

Power absorbed by electron in plane electromagnetic wave

How can the power (in Watts) absorbed by the electron be calculated, knowing the incident electric field amplitude $ E_0 $, wavelength $ \lambda $, and the electron momentum relaxation time $ \tau $ ...
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1 answer
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How can there be an electric field normal to the surface in a surface plasmon in a metal

Ashcroft and Mermin's Solid State Physics, chapter one, has an exercise about surface plasmons. They give the electric field normal to the surface of the metal as $E_z=Be^{iqx}e^{-Kz}$ How can this be?...
3 votes
1 answer
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Why do thermal hotspots in a metallic nanoparticle do not match it's optical hotspots?

I am a little bit confused here. When a metallic nanoparticle is impinged with light at its resonance, the electric field is greatly enhanced at the surface along the polarisation of the wave(suppose ...
2 votes
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Why exciton-plasmon electromagnetic coupling is possible?

There is a number of works about exciton-plasmon hybrid excitations (polaritons) in nanostructures, for example: https://aip.scitation.org/doi/abs/10.1063/1.4895061?journalCode=jap https://www....
2 votes
1 answer
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Corrections to plasmons theory. (History of Plasmons)

Is it true that around 70's there was a huge change in theory that describes plasmons (SPP, to be precise)? Recently I stumbled upon an interesting (but old) paper about plasmons. Authors of that ...
2 votes
1 answer
324 views

Difference between Surface plasmon and Localised surface plasmon

Here is what I understood from the plasmons: Bulk plasmon: we need longitudinal electric wave to excite them. Then it is not possible to excite them with natural light. Surface plasmon: we can't "...
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1 answer
6k views

What are Floquet modes?

When simulating a nanohole array for extraordinary optical transmission, I found that we have to use unit-cell boundary conditions. There is another concept to be understood which is Floquet modes. ...
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Purcell enhancement and transitional dipole moment of a quantum dot?

Let us consider a quantum emitter with a transitional dipole moment $\mathbf{p}$ and transitional frequency $\omega_0$ which is placed in an inhomogeneous environment. Its spontaneous decay rate is ...