Спектр потужності випромінювання від гаусівського джерела, мікролінзованого точковою масою: аналітичні результати

Gravitational lensing deals with general-relativistic effects in the propagation of electromagnetic radiation. We consider wavelength-dependent  contributions in case of a (micro)lensing of an extended Gaussian source by a point mass under standard assumptions about the incoherent emission...

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Bibliographic Details
Date:2021
Main Authors: Zhdanov, V.I., Gorpinchenko, D.V.
Format: Article
Language:Ukrainian
English
Published: Publishing house "Academperiodika" 2021
Subjects:
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Online Access:https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2021178
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Journal Title:Ukrainian Journal of Physics

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Ukrainian Journal of Physics
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Summary:Gravitational lensing deals with general-relativistic effects in the propagation of electromagnetic radiation. We consider wavelength-dependent  contributions in case of a (micro)lensing of an extended Gaussian source by a point mass under standard assumptions about the incoherent emission of different source elements. Analytical expressions for the power spectrum of a microlensed radiation, which are effective in case of a large source, are obtained. If the source center, the mass, and an observer are on a straight line, the power spectrum is found in a closed form in terms of a hypergeometric function. In the case of general locations of the lens and the source, the result is presented in the form of a series. Approximate analytic expressions for the power spectrum in the case of a large source and high frequencies are obtained.