Self-interaction of an arbitrary moving dislocation

Kazinski, P. O.; Ryakin, V. A.; Соколов, А. Е.

doi:10.1016/j.ijsolstr.2022.111538

Cited by 4 publications

(3 citation statements)

References 31 publications

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“…The resulting formula describes scattering of twisted photons by a thin cylinder or a helix with the dielectric susceptibility χ obeying the helical symmetry. In particular, this formula is applicable for description of scattering of twisted photons by helical dislocations in crystals [36][37][38][39].…”

Section: Scattering Of Twisted Photonsmentioning

confidence: 99%

“…The helical media, i.e., the media with permittivity tensor invariant under rotation and simultaneous shift along the rotation axis, are ubiquitous in nature and can be artificially fabricated down to nanometer scale and below. Some of the examples of such media are cholesteric liquid crystals, chiral nematics and smectics [12,[15][16][17][18], Q-plates [12,14,19,[21][22][23], certain types of chiral metamaterials and chiral sculptured thin films [24][25][26][27][28][29][30][31][32][33][34][35], and helical defects in ordered media [36][37][38][39]. Various aspects of the electromagnetic properties of these structures were thoroughly investigated [12, 14-17, 19, 20, 24, 25] but the complete quantum theory of scattering of photons by such structures of a general form has not been constructed yet, especially for scattering of twisted photons.…”

Section: Introductionmentioning

confidence: 99%

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Scattering of plane-wave and twisted photons by helical media

Kazinski¹,

Korolev²

2022

J. Phys. A: Math. Theor.

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By using quantum electrodynamics in a dispersive medium, we describe scattering of plane-wave and twisted photons by a slab made of a helical medium, the helix axis being normal to the slab plane and the medium being not translation invariant in this plane, in general. In the particular cases, the permittivity tensor of a helical medium corresponds to cholesteric liquid crystals, C*-smectics, biaxial chiral nematics and smectics, q-plates, chiral sculptured thin ﬁlms, and helical dislocations. Both perturbative and nonperturbative approaches are considered. The explicit expressions for scattering amplitudes, probabilities, and Stokes parameters of photons are found taking into account the form of the photon wave packet. The selection rules are established showing that the helical medium transfers the momentum and the angular momentum to scattered photons. This property can be employed for production of twisted photons with large projection of the total angular momentum. We describe the device for shifting the projection of the total angular momentum of a photon and the principal scheme for signal coding in terms of twisted photons.

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Section: Scattering Of Twisted Photonsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Scattering of plane-wave and twisted photons by helical media

Kazinski¹,

Korolev²

2022

J. Phys. A: Math. Theor.

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“…This is a classic problem in the theory of elasticity that was initiated at its early days and subsequently explored by many works (see e.g. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]). In order to fully solve this problem one must account for both external stresses, and self-stresses due to the movement of a dislocation and a direct progress using equations of elasticity has been obstructed by many difficulties in handling the Navier's equations for displacements.…”

Section: Introductionmentioning

confidence: 99%

Elastic Liénard-Wiechert potentials of dynamical dislocations from tensor gauge theory

Tsaloukidis¹,

Surówka²

2023

Preprint

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The dynamics of defect excitations in crystalline solids is necessary to understand the macroscopic low-energy properties of elastic media. We use fracton-elasticity duality to systematically study the defect dynamics and interactions in the linear isotropic medium. We derive the explicit expressions for the dual gauge potentials for moving dislocations and the resulting Jefimenko's equations. We also compute stresses and strains. The study includes two physical situations: when vacancies are absent and when they are present in the solid. If defects are present we show a constraint that needs to be satisfied by the when they climb perpendicularly to their Burgers vector. Next, we extend the classic result of Peach and Koehler for the force between two dislocations and show that, similarly, to moving charges in electrodynamics, it is non-reciprocal, when one dislocation is moving. We argue that our formalism can be extended beyond Cauchy's elasticity by exploiting the simplifications provided by the dual gauge formulation of elastic stresses.

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Self-force of high-speed dislocation in anisotropic media based on configurational mechanics

Luo

Cui

2023

International Journal of Solids and Structures

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Self-interaction of an arbitrary moving dislocation

Cited by 4 publications

References 31 publications

Scattering of plane-wave and twisted photons by helical media

Scattering of plane-wave and twisted photons by helical media

Elastic Liénard-Wiechert potentials of dynamical dislocations from tensor gauge theory

Self-force of high-speed dislocation in anisotropic media based on configurational mechanics

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