Variable basis function for least squares for chemical classification in surface enhance Raman spectroscopy (SERS)

2012 ◽  
Author(s):  
Darren K. Emge ◽  
Jason A. Guicheteau
Keyword(s):  
Raman Spectroscopy ◽  
Least Squares ◽  
Basis Function ◽  
Surface Enhance Raman Spectroscopy ◽  
Chemical Classification

A Hybrid Method Using Response Surface and Pattern Search for Design Optimization

2005 ◽  
Author(s):  
T. Zhang ◽  
K. K. Choi ◽  
S. Rahman
Keyword(s):  
Radial Basis Function ◽  
Least Squares ◽  
Response Surface ◽  
Basis Function ◽  
Function Approximation ◽  
Least Squares Method ◽  
Order Approximation ◽  
Pattern Search ◽  
Moving Least Squares ◽  
Radial Basis

This paper presents a new method to construct response surface function and a new hybrid optimization method. For the response surface function, the radial basis function is used for a zeroth-order approximation, while new bases is proposed for the moving least squares method for a first-order approximation. For the new hybrid optimization method, the gradient-based algorithm and pattern search algorithm are integrated for robust and efficient optimization process. These methods are based on: (1) multi-point approximations of the objective and constraint functions; (2) a multi-quadric radial basis function for the zeroth-order function representation or radial basis function plus polynomial based moving least squares approximation for the first-order function approximation; and (3) a pattern search algorithm to impose a descent condition. Several numerical examples are presented to illustrate the accuracy and computational efficiency of the proposed method for both function approximation and design optimization. The examples for function approximation indicate that the multi-quadric radial basis function and the proposed radial basis function plus polynomial based moving least squares method can yield accurate estimates of arbitrary multivariate functions. Results also show that the hybrid method developed provides efficient and convergent solutions to both mathematical and structural optimization problems.

Discrimination of milk species using Raman spectroscopy coupled with partial least squares discriminant analysis in raw and pasteurized milk

2020 ◽  
Vol 100 (13) ◽  
pp. 4756-4765 ◽  
Author(s):  
Nazife N Yazgan ◽  
Huseyin E Genis ◽  
Tugba Bulat ◽  
Ali Topcu ◽  
Sahin Durna ◽  
...  
Keyword(s):  
Raman Spectroscopy ◽  
Discriminant Analysis ◽  
Least Squares ◽  
Partial Least Squares ◽  
Pasteurized Milk

scholarly journals Femtosecond laser fabrication of silver nanostructures on glass for surface enhanced Raman spectroscopy

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
Mark MacKenzie ◽  
Haonan Chi ◽  
Manoj Varma ◽  
Parama Pal ◽  
Ajoy Kar ◽  
...  
Keyword(s):  
Raman Spectroscopy ◽  
Silver Nanoparticles ◽  
Silica Surface ◽  
Microfluidic Channel ◽  
Surface Enhance Raman Spectroscopy ◽  
Surface Enhanced Raman Spectroscopy ◽  
Fused Silica ◽  
Microfluidic Channels ◽  
Silver Nanostructures ◽  
Sem Images

AbstractWe report on an optimized fabrication protocol for obtaining silver nanoparticles on fused silica substrates via laser photoreduction of a silver salt solution. We find that multiple scans of the laser over the surface leads to a more uniform coverage of densely packed silver nanoparticles of approximately 50 nm diameter on the fused silica surface. Our substrates yield Raman enhancement factors of the order of 1011 of the signal detected from crystal violet. We use a theoretical model based on scanning electron microscope (SEM) images of our substrates to explain our experimental results. We also demonstrate how our technique can be extended to embedding silver nanoparticles in buried microfluidic channels in glass. The in situ laser inscription of silver nanoparticles on a laser machined, sub-surface, microfluidic channel wall within bulk glass paves the way for developing 3D, monolithic, fused silica surface enhance Raman spectroscopy (SERS) microfluidic sensing devices.

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