Результаты исследований: Научные публикации в периодических изданиях › статья
Complexified spherical waves and their sources. A review. / Tagirdzhanov, A.M.; Kiselev, A.P.
в: Optics and Spectroscopy (English translation of Optika i Spektroskopiya), Том 119, № 2, 2015, стр. 257-267.Результаты исследований: Научные публикации в периодических изданиях › статья
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TY - JOUR
T1 - Complexified spherical waves and their sources. A review
AU - Tagirdzhanov, A.M.
AU - Kiselev, A.P.
PY - 2015
Y1 - 2015
N2 - © 2015, Pleiades Publishing, Ltd. Spherical waves in which one of the coordinates of a source point is complexified are considered. Interest in such exact solutions of the wave equation known as “complex source wave fields,” is stipulated by their Gaussian localization, both in the time-harmonic regime and in the nonstationary case, under a proper choice of the wave form. Since a correct description of the square root occurring in the solution requires the choice of a branch cut, the solution has a jump in the physical space and thus satisfies an equation with a certain source. We study such sources in the physical space for various choices of a branch of the root for the time-harmonic and nonstationary cases. From this point of view, Izmest’ev—Deschamps Gaussian beams, Gaussian wave packets, solutions presented by Felsen and Heyman, Sheppard and Saghafi, Saari, as well as X-waves, are examined.
AB - © 2015, Pleiades Publishing, Ltd. Spherical waves in which one of the coordinates of a source point is complexified are considered. Interest in such exact solutions of the wave equation known as “complex source wave fields,” is stipulated by their Gaussian localization, both in the time-harmonic regime and in the nonstationary case, under a proper choice of the wave form. Since a correct description of the square root occurring in the solution requires the choice of a branch cut, the solution has a jump in the physical space and thus satisfies an equation with a certain source. We study such sources in the physical space for various choices of a branch of the root for the time-harmonic and nonstationary cases. From this point of view, Izmest’ev—Deschamps Gaussian beams, Gaussian wave packets, solutions presented by Felsen and Heyman, Sheppard and Saghafi, Saari, as well as X-waves, are examined.
U2 - 10.1134/S0030400X15080226
DO - 10.1134/S0030400X15080226
M3 - Article
VL - 119
SP - 257
EP - 267
JO - OPTICS AND SPECTROSCOPY
JF - OPTICS AND SPECTROSCOPY
SN - 0030-400X
IS - 2
ER -
ID: 3992779