Maxwell's Equations, Symplectic Matrix, and Grid

  title={Maxwell's Equations, Symplectic Matrix, and Grid},
  author={Xuan Li Wu},
The connections between Maxwell’s equations and symplectic matrix are studied. First, we analyze the continuous-time Maxwell’s differential equations in free space and verify its time evolution matrix (TEMA) is symplectic-unitary matrix for complex space or symplectic-orthogonal matrix for real space. Second, the spatial differential operators are discretized by pseudo-spectral (PS) approach with collocated grid and by finite-difference (FD) method with staggered grid. For the PS approach, the… CONTINUE READING


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