Scattering of light in cholesteric liquid crystals with large pitch

Aksenova, E. V.; Романов, В. Г.; Val’kov, A. Yu.

doi:10.1103/physreve.71.051702

Cited by 6 publications

(9 citation statements)

References 29 publications

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“…In the present paper, we investigated the radiation of twisted and plane-wave photons in the shortwave approximation for which k 0 q, the observation angles are arbitrary and δε can be large. The shortwave approximation was already used to describe the propagation of electromagnetic waves in liquid crystals [34][35][36][37]. This method showed a good agreement with experimental data in the range of its applicability.…”

Section: Discussionmentioning

confidence: 91%

“…The perturbative solutions of the system (7) with respect to δε and k ⊥ were considered in many papers [29,37,41,[50][51][52][53][54][55][56]. We will employ the approach based on the shortwave approximation [32,33,35] allowing to find the solution to (7) in the regions of the parameter space where the perturbation theories with respect to δε or k ⊥ are not applicable.…”

Section: Electromagnetic Properties Of Cholestericsmentioning

confidence: 99%

“…(7), we shall use the standard procedure of the shortwave approximation for matrix equations (see, e.g., [32,33,37]). In the papers [34][35][36][37], this method was applied to description of propagation of the electromagnetic waves in CLCs. Unfortunately, in those papers, these solutions are not presented in the form that is needed for construction of a quantum electromagnetic field in the CLC plate of a finite width.…”

Section: Shortwave Approximationmentioning

confidence: 99%

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Generation of hard twisted photons by charged particles in cholesteric liquid crystals

Bogdanov,

Kazinski,

Korolev

et al. 2021

Preprint

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We study the radiation from charged particles crossing a cholesteric plate in the shortwave approximation when the wavelength of photons is much smaller than the pitch of the cholesteric helix whereas the escaping angle of the photon and the anisotropy of the permittivity tensor can be arbitrary. The radiation of photons is treated in the framework of quantum electrodynamics with classical currents. The radiation of the plane-wave photons and the photons with definite projection of the angular momentum (the twisted photons) produced by charged particles crossing the cholesteric plate and moving rectilinearly and uniformly is considered. The explicit expressions for the average number of radiated photons and their spectra with respect to the energy and the projection of the angular momentum are obtained in this case. It turns out that in the paraxial approximation the projection of the orbital angular momentum, l, of radiated twisted photons is related to the harmonic number n ∈ Z as l = 2n + 1, i.e., the given system is a pure source of twisted photons as expected. It is shown that in the paraxial shortwave regime the main part of radiated photons is linearly polarized with l = ±1 at the harmonics n = {−1, 0}. The applicability conditions of the approach developed are discussed. As the examples, we consider the production of 6.3 eV twisted photons from uranium nuclei and the production of X-ray twisted photons from 120 MeV electrons.

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Section: Discussionmentioning

confidence: 91%

Section: Electromagnetic Properties Of Cholestericsmentioning

confidence: 99%

Section: Shortwave Approximationmentioning

confidence: 99%

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Generation of hard twisted photons by charged particles in cholesteric liquid crystals

Bogdanov,

Kazinski,

Korolev

et al. 2021

Preprint

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“…In the general case, i.e., for arbitrary values of quantum numbers of the complete set, it seems impossible to construct the exact solutions to the Maxwell equations ( 6) in a CLC. In the paper [16], we found the complete set of solutions of ( 6) in the CLC plate in the shortwave approximation (see also [19][20][21][22]). This region of parameters is usually called the Mauguin limit [7].…”

Section: Short Wavelength Solutionsmentioning

confidence: 99%

“…The shortwave approximation to the solutions of the Maxwell equations in CLCs was also studied [17][18][19][20][21][22]. It was found in [19][20][21][22] that there is a trapping of light modes along the CLC axis. This theoretical prediction was confirmed experimentally in [23].…”

Section: Introductionmentioning

confidence: 99%

Short wavelength band structure of photons in cholesteric liquid crystals

Bogdanov¹,

Kazinski²,

Korolev³

et al. 2021

Preprint

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The band structure of photons in cholesteric liquid crystals (CLCs) is investigated in the shortwave approximation. The bound states or narrow resonances of photons in the CLC are formed by the extraordinary waves. The explicit expressions for the spectrum bands and the dispersion laws of photons in these bands are obtained. It is shown that these states describe photons propagating almost perpendicular to the CLC axis. The density of photon states acquires a sharp peak due to the presence of bound states. Near this peak, in the particular case of plasma permittivity, the photons posses a linear or quadratic dispersion relations in the directions perpendicular to the CLC axis depending on the sign of the anisotropy of the CLC permittivity tensor. The resonances in the CLC plate are also described.

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Director dynamics of cholesteric liquid crystals in the presence of an optical field

Parameswari¹,

Latha²

2013

Phys. Scr.

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We studied the nonlinear soliton-like molecular reorientation in the cholesteric liquid crystal (CLC) system in the presence of an optical field by coupling the torque equation of CLC molecules with Maxwell's equation. Using a direct approach to soliton perturbation theory, we studied the dynamics of a perturbed soliton by solving the associated linear eigenvalue problem and constructing a complete set of eigenfunctions. We found that the optical field modulates the width and velocity of the soliton for a short period before relaxing to the uniform width and velocity by introducing oscillations in the tail region of a kink-antikink soliton of the integrable sine-Gordan equation.

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Scattering of light in cholesteric liquid crystals with large pitch

Cited by 6 publications

References 29 publications

Generation of hard twisted photons by charged particles in cholesteric liquid crystals

Generation of hard twisted photons by charged particles in cholesteric liquid crystals

Short wavelength band structure of photons in cholesteric liquid crystals

Director dynamics of cholesteric liquid crystals in the presence of an optical field

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