Fast Algorithm of Wideband Electromagnetic Scattering of Homogeneous Dielectric Targets

Abstract

Abstract-The PMCHWT-IE-FFT-BURA is applied to the wideband analysis of electromagnetic scattering property of homogeneous targets. Over the broad frequency band, the fast computation is achieved by the Maehly expansion on the basis of the Chebyshev approximation of the electric and magnetic currents. On the Chebyshev sampling points, PMCHWT-IE-FFT greatly reduces the memory requirement by sparsely storing the impedance matrix and decreases the computational time to the greatest degree by block acceleration of the matrix-vector product. Finally, numerical results show that the proposed method can make efficient analysis of wideband property of homogeneous targets without sacrificing accuracy much .

Research Progress with Scheelite Flotation Reagents: A Review

“…The silicate inhibitors include water glass, acidified water glass, salted water glass, and fluosilicate, while phosphate inhibitors include sodium hexametaphosphate (SH) and pyrophosphates. It should be noted that the effectiveness of phosphate inhibitors is easily affected by the dissolved ions in the solution, and there are some limitations in their application [99].…”

“…Phosphates can react with Ca on the mineral surface to form insoluble complexes, thereby reducing the calcium active sites on the surfaces of calcium-bearing minerals and preventing the adsorption of collectors [99]. Sodium hexametaphosphate (SHMP, (NaPO 3 ) 6 ) is the representative phosphate inhibitor.…”

“…Organic inhibitors generally interact with Ca 2+ on the surfaces of the gangue minerals through polar groups (-OH or -COOH) and are adsorbed on the mineral surface by physical or chemical means, and they inhibit the adsorption of anionic collectors on calcium-bearing minerals and enhance their hydrophilicities. Organic inhibitors can be divided into macromolecular inhibitors (such as tannin, carboxymethyl cellulose, starch, sodium humate, and polyacrylic acid) and small molecule inhibitors (such as citric acid, malic acid, succinic acid, lactic acid, and oxalic acid) [11,99,120].…”