Fluorescence Spectral Properties of Methyl Orange in Homogeneous Media

Author(s):  
Babita Bisht ◽  
Priyank Bhardwaj ◽  
Manoj Giri ◽  
Sanjay Pant
Author(s):  
Yoshihisa Miyanishi ◽  
Grigori Rozenblum

Abstract We consider the adjoint double layer potential (Neumann–Poincaré (NP)) operator appearing in 3-dimensional elasticity. We show that the recent result about the polynomial compactness of this operator for the case of a homogeneous media follows without additional calculations from previous considerations by Agranovich et al., based upon pseudodifferential operators. Further on, we define the NP operator for the case of a nonhomogeneous isotropic media and show that its properties depend crucially on the character of nonhomogeneity. If the Lamé parameters are constant along the boundary, the NP operator is still polynomially compact. On the other hand, if these parameters are not constant, two or more intervals of continuous spectrum may appear, so the NP operator ceases to be polynomially compact. However, after a certain modification, it becomes polynomially compact again. Finally, we evaluate the rate of convergence of discrete eigenvalues of the NP operator to the tips of the essential spectrum.


2015 ◽  
Vol 1 (2) ◽  
pp. 36-41
Author(s):  
Laura Cocheci ◽  
◽  
Ancuta-Corina Marcu ◽  
Paul Barvinschi ◽  
Aniela Pop

2020 ◽  
Vol 2020 (48) ◽  
pp. 17-24
Author(s):  
I.M. Javorskyj ◽  
◽  
R.M. Yuzefovych ◽  
P.R. Kurapov ◽  
◽  
...  

The correlation and spectral properties of a multicomponent narrowband periodical non-stationary random signal (PNRS) and its Hilbert transformation are considered. It is shown that multicomponent narrowband PNRS differ from the monocomponent signal. This difference is caused by correlation of the quadratures for the different carrier harmonics. Such features of the analytic signal must be taken into account when we use the Hilbert transform for the analysis of real time series.


2015 ◽  
Vol 60 (04) ◽  
pp. 356-361 ◽  
Author(s):  
A. Tolochko ◽  
◽  
P. Teselko ◽  
A. Lyashchova ◽  
D. Fedorenko ◽  
...  

2018 ◽  
Vol 14 (2) ◽  
pp. 221-234
Author(s):  
Ahmed Namah Mohamed ◽  
◽  
Jafer Fahdel Odah ◽  
Haider Tawfiq Naeem

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