scholarly journals MOGUS: A CODE FOR EVALUATING THE MOTT SCATTERING CROSS SECTION AND THE GOUDSMIT--SAUNDERSON ANGULAR MULTIPLE-SCATTERING DISTRIBUTION FOR USE IN ELECTRON TRANSPORT CALCULATIONS.

1969 ◽  
Author(s):  
R.M. Felder
Keyword(s):  
Electron Transport ◽  
Multiple Scattering ◽  
Cross Section ◽  
Scattering Cross Section ◽  
Scattering Cross ◽  
Mott Scattering

Convolutional Neural Network Representation of the Total Multiple Scattering Cross Section

2021 ◽  
Author(s):  
Thang Tran ◽  
Peter Lai ◽  
Wei-Ching Wang ◽  
Amaris Rosa ◽  
Feruza Amirkulova ◽  
...  
Keyword(s):  
Neural Network ◽  
Convolutional Neural Network ◽  
Multiple Scattering ◽  
Cross Section ◽  
Scattering Cross Section ◽  
Scattering Cross ◽  
Network Representation

The Gradient of Total Multiple Scattering Cross-Section and Its Application to Acoustic Cloaking

2020 ◽  
Vol 28 (04) ◽  
pp. 1950016
Author(s):  
Feruza A. Amirkulova ◽  
Andrew N. Norris
Keyword(s):  
Parallel Computing ◽  
Multiple Scattering ◽  
Cross Section ◽  
Optimization Algorithm ◽  
Analytic Form ◽  
Scattering Cross Section ◽  
Thin Shells ◽  
Scattering Cross ◽  
Total Scattering Cross Section ◽  
Gradient Based

We derive a formula for the gradients of the total scattering cross-section (TSCS) with respect to positions of a set of cylindrical scatterers. The analytic form enhances modeling capability when combined with optimization algorithms and parallel computing. As application of the method, we consider a gradient-based minimization of TSCS for a set of cylindrical obstacles by incrementally repositioning them so that they eventually act as an effective cloaking device. The gradient-based optimization algorithm reduces the TSCS by evaluating its derivative with respect to the cylinder positions and then perturbatively optimizing the position of each cylinder in the cloaking device while taking into account acoustic multiple scattering between the cylinders. The method is illustrated for clusters of hard cylinders and sets of elastic thin shells in water.

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