Standard

New physical wavelet 'Gaussian wave packet'. / Perel, Maria V.; Sidorenko, Mikhail S.

в: Journal of Physics A: Mathematical and Theoretical, Том 40, № 13, 30.03.2007, стр. 3441-3461.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Perel, MV & Sidorenko, MS 2007, 'New physical wavelet 'Gaussian wave packet'', Journal of Physics A: Mathematical and Theoretical, Том. 40, № 13, стр. 3441-3461. https://doi.org/10.1088/1751-8113/40/13/011

APA

Perel, M. V., & Sidorenko, M. S. (2007). New physical wavelet 'Gaussian wave packet'. Journal of Physics A: Mathematical and Theoretical, 40(13), 3441-3461. https://doi.org/10.1088/1751-8113/40/13/011

Vancouver

Perel MV, Sidorenko MS. New physical wavelet 'Gaussian wave packet'. Journal of Physics A: Mathematical and Theoretical. 2007 Март 30;40(13):3441-3461. https://doi.org/10.1088/1751-8113/40/13/011

Author

Perel, Maria V. ; Sidorenko, Mikhail S. / New physical wavelet 'Gaussian wave packet'. в: Journal of Physics A: Mathematical and Theoretical. 2007 ; Том 40, № 13. стр. 3441-3461.

BibTeX

@article{f876497f297b44f5a4681d9df27ec935,
title = "New physical wavelet 'Gaussian wave packet'",
abstract = "An exact solution of the homogeneous wave equation, which was found previously, is treated from the point of view of continuous wavelet analysis (CWA). If time is a fixed parameter, the solution represents a new multidimensional motherwavelet for the CWA. Both thewavelet and its Fourier transform are given by explicit formulae and are exponentially localized. The wavelet is directional. The widths of the wavelet and the uncertainty relation are investigated numerically. If a certain parameter is large, thewavelet behaves asymptotically as the Morlet wavelet. The solution is a new physical wavelet in the definition of Kaiser, it may be interpreted as a sum of two parts: an advanced and a retarded part, both being fields of a pulsed point source moving at a speed of wave propagation along a straight line in complex spacetime.",
author = "Perel, {Maria V.} and Sidorenko, {Mikhail S.}",
year = "2007",
month = mar,
day = "30",
doi = "10.1088/1751-8113/40/13/011",
language = "English",
volume = "40",
pages = "3441--3461",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "13",

}

RIS

TY - JOUR

T1 - New physical wavelet 'Gaussian wave packet'

AU - Perel, Maria V.

AU - Sidorenko, Mikhail S.

PY - 2007/3/30

Y1 - 2007/3/30

N2 - An exact solution of the homogeneous wave equation, which was found previously, is treated from the point of view of continuous wavelet analysis (CWA). If time is a fixed parameter, the solution represents a new multidimensional motherwavelet for the CWA. Both thewavelet and its Fourier transform are given by explicit formulae and are exponentially localized. The wavelet is directional. The widths of the wavelet and the uncertainty relation are investigated numerically. If a certain parameter is large, thewavelet behaves asymptotically as the Morlet wavelet. The solution is a new physical wavelet in the definition of Kaiser, it may be interpreted as a sum of two parts: an advanced and a retarded part, both being fields of a pulsed point source moving at a speed of wave propagation along a straight line in complex spacetime.

AB - An exact solution of the homogeneous wave equation, which was found previously, is treated from the point of view of continuous wavelet analysis (CWA). If time is a fixed parameter, the solution represents a new multidimensional motherwavelet for the CWA. Both thewavelet and its Fourier transform are given by explicit formulae and are exponentially localized. The wavelet is directional. The widths of the wavelet and the uncertainty relation are investigated numerically. If a certain parameter is large, thewavelet behaves asymptotically as the Morlet wavelet. The solution is a new physical wavelet in the definition of Kaiser, it may be interpreted as a sum of two parts: an advanced and a retarded part, both being fields of a pulsed point source moving at a speed of wave propagation along a straight line in complex spacetime.

UR - http://www.scopus.com/inward/record.url?scp=84987684531&partnerID=8YFLogxK

U2 - 10.1088/1751-8113/40/13/011

DO - 10.1088/1751-8113/40/13/011

M3 - Article

AN - SCOPUS:84987684531

VL - 40

SP - 3441

EP - 3461

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 13

ER -

ID: 53453334