scholarly journals Mellin Transform and Image Charge Method for Dielectric Sphere in an Electrolyte

2013 ◽  
Vol 73 (4) ◽  
pp. 1396-1415 ◽  
Author(s):  
Zhenli Xu ◽  
Yihao Liang ◽  
Xiangjun Xing
Keyword(s):  
Mellin Transform ◽  
Image Charge ◽  
Dielectric Sphere

Image charge inclusion in the dielectric sphere revisited

2012 ◽  
Vol 33 (6) ◽  
pp. 1751-1759 ◽  
Author(s):  
D V Redžić ◽  
M S A Eldakli ◽  
M D Redžić
Keyword(s):  
Image Charge ◽  
Dielectric Sphere

Direct imaging of charge transfer

1996 ◽  
Vol 54 ◽  
pp. 680-681
Author(s):  
Yimei Zhu ◽  
J. Tafto
Keyword(s):  
Charge Transfer ◽  
Electron Diffraction ◽  
Scattering Amplitude ◽  
High Temperature Superconductors ◽  
Charge Carriers ◽  
Image Charge ◽  
Net Charge ◽  
Long Time ◽  
Electron Holes ◽  
First Time

The electron holes confined to the CuO2-plane are the charge carriers in high-temperature superconductors, and thus, the distribution of charge plays a key role in determining their superconducting properties. While it has been known for a long time that in principle, electron diffraction at low angles is very sensitive to charge transfer, we, for the first time, show that under a proper TEM imaging condition, it is possible to directly image charge in crystals with a large unit cell. We apply this new way of studying charge distribution to the technologically important Bi2Sr2Ca1Cu2O8+δ superconductors.Charged particles interact with the electrostatic potential, and thus, for small scattering angles, the incident particle sees a nuclei that is screened by the electron cloud. Hence, the scattering amplitude mainly is determined by the net charge of the ion. Comparing with the high Z neutral Bi atom, we note that the scattering amplitude of the hole or an electron is larger at small scattering angles. This is in stark contrast to the displacements which contribute negligibly to the electron diffraction pattern at small angles because of the short g-vectors.

Anapole electric dipole modes for a dielectric sphere

2020 ◽  
Author(s):  
S. R. Ponomareva ◽  
E. A. Gurvitz ◽  
K. S. Ladutenko ◽  
A. M. Miroshnichenko ◽  
A. S. Shalin
Keyword(s):  
Electric Dipole ◽  
Dielectric Sphere

scholarly journals A Mellin Transform Approach to the Pricing of Options with Default Risk

2021 ◽  
Author(s):  
Sun-Yong Choi ◽  
Sotheara Veng ◽  
Jeong-Hoon Kim ◽  
Ji-Hun Yoon
Keyword(s):  
Default Risk ◽  
Mellin Transform

Enhancing the Plasmonic Component of Photonic-Plasmonic Resonances in Self-Assembled Dielectric Spheres on Ag

2021 ◽  
Author(s):  
Cheon Woo Moon ◽  
Geonyoung Kim ◽  
Jerome Hyun
Keyword(s):  
Dielectric Sphere ◽  
Dielectric Spheres ◽  
Self Assembled

Photonic-plasmonic platforms consisting of dielectric sphere monolayer arrays on a plasmonic substrate have been a popular testbed for studying the hybridization of modes between dielectric and plasmonic resonances. As the...

g-Mellin transform in probability theory

2020 ◽  
Author(s):  
Teodora Gavrilov ◽  
Natasa Durakovic ◽  
Katarina Gavrilov ◽  
Tatjana Grbic ◽  
Slavica Medic ◽  
...  
Keyword(s):  
Probability Theory ◽  
Mellin Transform
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