2D Graphical Optimization for Molecular Effect Model in High Temperature Superconductors Thallium Class [ TC < 0° , TC > 0° ] with Electronics Physics Multifunctional Transmission Line Design

Abstract

Following High Temperature Superconductors (HTCSs) study series, Inverse Least Squares (ILS) 2D Numerical/Graphical Optimization is applied on Molecular Effect Model (MEM). Selected HTSCs class is Thallium group of [ Tl- Sn-Pb-Ba-Si-Mn-Mg-Cu-O ], constrained to  [T_C ? 0°  ,  T_C > 0° ]. Tetragonal Lattice and Amorphous compounds of this Type II Thallium HTSCs are not included at this research stage. Solutions with Matlab 2D Graphical Optimization techniques to validate primarily the MEM sinusoid-shape analytical geometry are presented. Programming-methods and imaging processing comparisons with GNU-Octave and Freemat software are also shown. Results comprise 2D Tikhonov Regularization algorithms with mathematical methods for this class. Findings obtain acceptable Numerical and 2D Graphical Optimization outcomes with low error-residuals. Results show two parts, the 2D Graphical Optimization MEM modelling, and MEM comparative imaging processing systems with examples and analysis of several numerical equations and predictions. Applications of MEM for the overview of the Multifunctional Transmission Line for SCs and HTSCs are included. Electronics Physics usages for Superconducting Multifunctional Transmission Lines, Superconductors in general, and HTSCs are presented.