Symbolic computation of the time‐dependent electric and magnetic fields in bi‐anisotropic media with polynomial inputs

Abstract

A new method for the computation of a solution of the Maxwell's equations in bi‐anisotropic media with polynomial input is suggested. This method consists of the reduction of Maxwell's equations to a symmetric hyperbolic system of the first‐order partial differential equations. The solutions of the obtained system are constructed by symbolic computation in Maple for the given polynomial data in an explicit form. For the case when input data are given as smooth functions, an interpolation of the data has been made by polynomials and then an approximate solution has been computed by our method. The robustness of the method is confirmed by computational experiments. The comparison of the suggested method with finite difference time domain method has been done.

Time Series Symbolization Method for the Data Mining K-Means Algorithm

“…Time series often appear in our daily lives. It can be said to be a relatively common mathematical model [15], but many people do not pay special attention to it. In mathematics, it is generally used to give time to a single column of data.…”

Radiation pressure on inhomogeneous active chiral structures with propagation matrix

“…Recently, optical pulling forces have stimulated intense interests in the fields of physics, mechanics, biology, and chemistry 1–13 . The pulling forces can be realized by using tractor beams or on various medium structures.…”

“…The pulling forces can be realized by using tractor beams or on various medium structures. Some effort has been devoted to studying negative optical forces on chiral structures 4–12 . Horai et al formulated an optical force under electronic resonance to enhance the optical force and realized the separation of nanometer‐sized chiral molecules 4 .…”

“…Recently, optical pulling forces have stimulated intense interests in the fields of physics, mechanics, biology, and chemistry. [1][2][3][4][5][6][7][8][9][10][11][12][13] The pulling forces can be realized by using tractor beams or on various medium structures. Some effort has been devoted to studying negative optical forces on chiral structures.…”

“…Some effort has been devoted to studying negative optical forces on chiral structures. [4][5][6][7][8][9][10][11][12] Horai et al formulated an optical force under electronic resonance to enhance the optical force and realized the separation of nanometer-sized chiral molecules. 4 Wo et al investigated the optical forces induced by a plane wave on two chiral particles coupling with each other via evanescent near fields by using numerical and analytical methods.…”