An asymptotic evaluation of a kernel in the study of a radiation operator: the strip current in near zone

Author(s):  
Rocco Pierri ◽  
Raffaele Moretta
2004 ◽  
Vol 61 (2) ◽  
pp. 141-149
Author(s):  
N. V. Barkhudaryan ◽  
S. E. Vazhinsky ◽  
V. A. Vasilets ◽  
A. Z. Sazonov ◽  
O. I. Sukharevsky

Optik ◽  
2021 ◽  
pp. 166844
Author(s):  
Fahad Masood ◽  
Muhammad Arshad Fiaz ◽  
Muhammad Aqueel Ashraf

2013 ◽  
Vol 09 (08) ◽  
pp. 2091-2128 ◽  
Author(s):  
SZILÁRD GY. RÉVÉSZ ◽  
ANNE de ROTON

We consider the classical Wiener–Ikehara Tauberian theorem, with a generalized condition of slow decrease and some additional poles on the boundary of convergence of the Laplace transform. In this generality, we prove the otherwise known asymptotic evaluation of the transformed function, when the usual conditions of the Wiener–Ikehara theorem hold. However, our version also provides an effective error term, not known thus far in this generality. The crux of the proof is a proper, asymptotic variation of the lemmas of Ganelius and Tenenbaum, also constructed for the sake of an effective version of the Wiener–Ikehara theorem.


Atomic Energy ◽  
1993 ◽  
Vol 74 (6) ◽  
pp. 478-481 ◽  
Author(s):  
T. A. Goryachenkova ◽  
F. I. Pavlotskaya ◽  
I. E. Kazinskaya ◽  
K. V. Barsukova ◽  
V. V. Emel'yanov ◽  
...  

2021 ◽  
pp. 35-44
Author(s):  
Ю.Г. Матвиенко ◽  
И.Е. Васильев ◽  
Д.В. Чернов ◽  
В.И. Иванов ◽  
С.В. Елизаров

The accuracy of the location of acoustic emission (AE) sources in the concentrator zones (central holes 5 mm in diameter) located at a distance of 40 mm from the receiving transducers during tensile tests of steel, aluminum alloy and composite flat specimens with dimensions of 550x50x4 mm was evaluated. Calculated speed dependence of propagation of pulses on the level of their amplitude and the partial energy of the high-frequency components of the spectrum is studied. With the threshold method of signal registration, the error in the location of AE event sources arising in the near zone of the receiving transducers at a distance 𝛥L<0.1 m can significantly exceed 10% relative to the base size (B) of the location area, when B<0.5 m. Moreover, with a decrease in the distance 𝛥L<0.05 m, the level of possible error will increase, reaching 20-30% relative to the basic size of the antenna array, when recording pulses with an amplitude level um<60 dB and a fraction of the energy of high-frequency spectrum components not exceeding 10%.


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