Unraveling near-field and far-field relationships for 3D SERS substrates – a combined experimental and theoretical analysis

The Analyst ◽  
2016 ◽  
Vol 141 (5) ◽  
pp. 1779-1788 ◽  
Author(s):  
Dmitry Kurouski ◽  
Nicolas Large ◽  
Naihao Chiang ◽  
Nathan Greeneltch ◽  
Keith T. Carron ◽  
...  
Keyword(s):  
Theoretical Analysis ◽  
Low Cost ◽  
Near Field ◽  
Far Field ◽  
Sers Substrates

Simplicity and low cost has positioned inkjet 3D substrates as the most commonly used SERS platforms for the detection and the identification of analytes down to the nanogram and femtogram levels.

scholarly journals Asymptotic behavior of acoustic waves  scattered by very small obstacles

2020 ◽  
Author(s):  
Hélène Barucq ◽  
Julien Diaz ◽  
Vanessa Mattesi ◽  
Sebastien Tordeux
Keyword(s):  
Acoustic Waves ◽  
Low Cost ◽  
Near Field ◽  
Three Dimensions ◽  
Asymptotic Model ◽  
Far Field ◽  
Complete Asymptotic Expansion ◽  
Finite Element Software ◽  
Acoustic Wave Scattering ◽  
Whole Space

The direct numerical simulation of the acoustic wave scattering created by very small obstacles is very expensive, especially in three dimensions and even more so in time domain. The use of asymptotic models is very efficient and the purpose of this work is to provide a rigorous justification of a new asymptotic model for low-cost numerical simulations. This model is based on asymptotic near-field and far-field developments that are then matched by a key procedure that we describe and demonstrate.   We show that it is enough to focus on the regular part of the wave field to rigorously establish the complete asymptotic expansion. For that purpose, we provide an error estimate which is set in the whole space, including the transition region separating the near-field from the far-field area. The proof of convergence is established through Kondratiev's seminal work on the Laplace equation and involves the Mellin transform. Numerical experiments including multiple scattering illustrate the efficiency of the resulting numerical method by delivering some comparisons with solutions computed with a finite element software.

Magnetic Tag Antenna for UHF Near-field and Far-Field RFID Applications

2015 ◽  
Vol 5 (2) ◽  
pp. 119
Author(s):  
Mondher Dhaouadi ◽  
M. Mabrouk ◽  
T. Vuong ◽  
A. Ghazel
Keyword(s):  
Near Field ◽  
Far Field ◽  
Rfid Applications
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