The Symplectiness of Maxwells Equations

摘要：

The connections between Maxwells equations and symplectic matrix are studied．First,we analyze the continuoustime Maxwells difierentia I equationsInfree 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 discrefized by pseudo-spectral(PS)approach with collocated grid and by finitedifrerenee(FD)method with staggered grid.For the PS approach,the TEMA conserves symplectic．Unitary property．For the FD method，the TEMA conserves symplectic-orthogonal property.Finally．Symplectic integration scheme is usedInthe time direction．In particular,we find the symplectiness of the TEMA also can be conserved．The mathematicaI proofs presented are helpful for deep researching the symplectic PSTD approach and the symplectic FDTD method.

作者: Wei Sha Xianliang Wu Zhixiang Huang Mingsheng Chen

会议类型: 国际会议

会议名称: 2008 International Conference on Microwave and Millimeter Wave Technology(2008国际微波毫米波技术会议)

会议地点: 南京

会议语种:英文

页码: 190-193

在线出版日期: 2008-04-21（万方平台首次上网日期，不代表论文的发表时间）