Canonical Problems in the Theory of Plasmonics

Moradi, Afshin

doi:10.1007/978-3-030-43836-4

Cited by 40 publications

(19 citation statements)

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“…However, as mentioned in Ref. [17], the contribution of the quantum diffraction becomes smaller than the Fermi pressure for 2D electron plasma layers, that is, the term αq 2 in Equation (6). Imposing the mentioned boundary condition and using Equations (1)–(4) and (6), gives

D (ω, q) E_{0} = - {italiciJ}_{0}^{normalext},

where

D (ω, q) = [\frac{ϵ_{1}}{κ_{1}} + \frac{ϵ_{2}}{κ_{2}}] ϵ_{0} ω - e^{2} n_{0} ω [\frac{1}{m_{e}} \frac{1}{ω^{2} - α q^{2}} + \frac{1}{m_{i}} \frac{1}{ω^{2}}],

is the so‐called dispersion function of the system.…”

Section: Theorymentioning

confidence: 96%

“…Now, we use the well‐known boundary condition for the present system at z = 0, as

{(|, H_{2 y})}_{z = 0} - {(|, H_{1 y})}_{z = 0} = - J_{x}^{normalon} - J_{x}^{normalext},

where the polarization current density

J_{x}^{normalon} (x, t)

due to the motion of the electron‐ion plasma layer can be written as

J_{x}^{normalon} (x, t) = {(|, σ E_{x} ((), x, t))}_{z = 0}

. Also, we have [16]

σ = {italicie}^{2} n_{0} ω [\frac{1}{m_{e}} \frac{1}{ω^{2} - α q^{2}} + \frac{1}{m_{i}} \frac{1}{ω^{2}}],

where e is the element charge, m e ( m i ) is the electron (ion) mass,

α = v_{F}^{2} / 2

(that is square of the speed of propagation of the density disturbances in a 2D Fermi electron plasma) and v F = ℏ k F / m e and

k_{F} = \sqrt{2 π n_{0}}

are electron Fermi speed and electron Fermi wave number in the 2D electron plasma layer, respectively [17]. We note that the general form of Equation (6) contains the contribution of the quantum diffraction (quantum Bohm) effect [18,19].…”

Section: Theorymentioning

confidence: 99%

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Energy relations of plasma waves in planar two‐dimensional electron‐ion plasmas

Moradi

2020

Contributions to Plasma Physics

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A derivation of the energy densities and power flows of plasma waves in a planar two‐dimensional electron‐ion plasma is presented through a simple approach. In this method, the response of an external current density introduced into the system is determined by a so‐called dispersion function. The advantage of the dispersion function is that it yields not only the dispersion relations of both plasmon (high‐frequency) and ion‐acoustic (low‐frequency) waves of the system, but expressions for the energy relations as well.

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D (ω, q) E_{0} = - {italiciJ}_{0}^{normalext},

where

D (ω, q) = [\frac{ϵ_{1}}{κ_{1}} + \frac{ϵ_{2}}{κ_{2}}] ϵ_{0} ω - e^{2} n_{0} ω [\frac{1}{m_{e}} \frac{1}{ω^{2} - α q^{2}} + \frac{1}{m_{i}} \frac{1}{ω^{2}}],

is the so‐called dispersion function of the system.…”

Section: Theorymentioning

confidence: 96%

“…Now, we use the well‐known boundary condition for the present system at z = 0, as

{(|, H_{2 y})}_{z = 0} - {(|, H_{1 y})}_{z = 0} = - J_{x}^{normalon} - J_{x}^{normalext},

where the polarization current density

J_{x}^{normalon} (x, t)

due to the motion of the electron‐ion plasma layer can be written as

J_{x}^{normalon} (x, t) = {(|, σ E_{x} ((), x, t))}_{z = 0}

. Also, we have [16]

σ = {italicie}^{2} n_{0} ω [\frac{1}{m_{e}} \frac{1}{ω^{2} - α q^{2}} + \frac{1}{m_{i}} \frac{1}{ω^{2}}],

where e is the element charge, m e ( m i ) is the electron (ion) mass,

α = v_{F}^{2} / 2

(that is square of the speed of propagation of the density disturbances in a 2D Fermi electron plasma) and v F = ℏ k F / m e and

k_{F} = \sqrt{2 π n_{0}}

Section: Theorymentioning

confidence: 99%

Energy relations of plasma waves in planar two‐dimensional electron‐ion plasmas

Moradi

2020

Contributions to Plasma Physics

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“…However, when qa, qb and qd are small, an analytical procedure can be developed. As x → 0, we use the following limiting values [12]…”

Section: Appendix: a Direct Derivation Of Dispersion Relation Of Surfmentioning

confidence: 99%

“…Note that the mentioned new problem may be analyzed within the quasi-static approximation (QSA) [13,14], where incident, scattered and transmitted waves may be represented with the electrostatic potential. Using the QSA method, the quasi-electrostatic interaction with a nanowire and a nanotube is studied in [12]. Also, plasmon hybridization in symmetry-broken metallic nanotubes are discussed by us in Ref.…”

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confidence: 99%

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Asymmetry Effects in Optical Properties of a Gold Nanotube

Moradi

2021

Preprint

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Asymmetry effects in optical properties of an infinitely long gold nanotube is studied within the framework of the quasi-static approximation. In this way, incident, scattered and transmitted fields are represented with the appropriate electrostatic potentials in the cylindrical coordinates. The problem is investigated using a boundary-value approach. The expressions for the polarizability and dispersion of surface plasmons of the system are derived and numerical results, in the wavelength region 500 nm to 1000 nm, show that instead of the one well-known resonance peak of the nanotube, one pair of resonance peaks appear, as a result of the coupling between the dipole and quadrupole modes. Then, scattering, absorption and extinction widths of the system are formulated. Also, the effective dielectric function of a composite of aligned symmetry-broken gold nanotubes is presented.

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Hyperbolic Metamaterials

Moradi

2023

Springer Series in Optical Sciences

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Canonical Problems in the Theory of Plasmonics

Cited by 40 publications

References 0 publications

Energy relations of plasma waves in planar two‐dimensional electron‐ion plasmas

Energy relations of plasma waves in planar two‐dimensional electron‐ion plasmas

Asymmetry Effects in Optical Properties of a Gold Nanotube

Hyperbolic Metamaterials

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