关于Floquet理论与Floquet激励的设置

    Floquet模实质上是电磁场波动方程满足周期性边界条件时，利用数学上分离变量法得到的电磁场的解，周期结构的影响反映在Floquet模中。

    Floquet theory is a branch of the theory of ordinary differential equations relating to the class of solutions to periodic linear differential equations of the form

with   a piecewise continuous periodic function with period   and defines the state of the stability of solutions.

    The main theorem of Floquet theory, Floquet's theorem, due to Gaston Floquet (1883), gives a canonical form for each fundamental matrix solution of this common linear system. It gives a coordinate change   with   that transforms the periodic system to a traditional linear system with constant, real coefficients.

    In solid-state physics, the analogous result is known as Bloch's theorem.

Note that the solutions of the linear differential equation form a vector space. A matrix   is called a fundamental matrix solution if all columns are linearly independent solutions. A matrix   is called a principal fundamental matrix solution if all columns are linearly independent solutions and there exists   such that   is the identity. A principal fundamental matrix can be constructed from a fundamental matrix using  . The solution of the linear differential equation with the initial condition   is   where   is any fundamental matrix solution.