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On the Inversion of the Integrodifferential Operator of a Thin Linear Nanoantenna and Dispersion Forces

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Abstract

Methods of inversion of integrodifferential operators of thin linear antennas and also related to the dispersion interaction of the Casimir–Lifshitz force between two thin linear objects described by the dielectric constant in the form of Drude–Lorentz are considered. A new rigorous model for calculating Casimir–Lifshitz forces for thin dielectric or conductive filaments based on the Lorentz force is proposed. To determine correlations, the formulas of G.T. Markov, the fluctuation–dissipation theorem, and the principle of detailed equilibrium with a thermal field were used. Analytical estimates of the obtained spectral integrals are performed in the far zone.

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Funding

This work was supported by the Ministry of Education and Science of Russia as part of a state order, project no. FSRR-2020-0004.

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  1. Saratov State University, 410012, Saratov, Russia

    M. V. Davidovich

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Translated by M. Drozdova

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Davidovich, M.V. On the Inversion of the Integrodifferential Operator of a Thin Linear Nanoantenna and Dispersion Forces. Tech. Phys. 67, 468–486 (2022). https://doi.org/10.1134/S106378422207012X

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