Fractional Oscillator Radiation

The spectral energy density of the radiation of an oscillator, the motion of which is described by an equation with fractional integro-differentiation, is calculated in the dipole approximation. The fractional oscillator model can describe various types of radiation, including those with a nonexpone...

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Bibliographic Details
Published inTechnical physics letters Vol. 48; no. 2; pp. 39 - 42
Main Authors Rekhviashvili, S. Sh, Pskhu, A. V., Margushev, Z. Ch
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.02.2022
Springer Nature B.V
Subjects
Classical and Continuum Physics
Differentiation
Dipoles
Emission spectra
Line spectra
Oscillators
Phosphors
Physics
Physics and Astronomy
fractional integro-differentiation, spectral line contour
fractional oscillator
dipole radiation
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Summary:The spectral energy density of the radiation of an oscillator, the motion of which is described by an equation with fractional integro-differentiation, is calculated in the dipole approximation. The fractional oscillator model can describe various types of radiation, including those with a nonexponential relaxation law. The shape of the spectral line of radiation is found. The result obtained is compared with the classical Lorentzian spectrum and the experimental emission spectra of monochromatic and phosphor LEDs. The order of fractional integro-differentiation in the model determines the magnitude of the broadening of the emission spectrum.
ISSN:1063-7850
1090-6533
DOI:10.1134/S1063785022020067