Maxwell's Equations, Symplectic Matrix, and Grid

@inproceedings{Wu2008MaxwellsES,
  title={Maxwell's Equations, Symplectic Matrix, and Grid},
  author={Xuan Li Wu},
  year={2008}
}
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

Citations

Publications citing this paper.
Showing 1-4 of 4 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 15 references

Multidomain Pseudospectral Time Domain Algorithm Using a Symplectic Integrator

IEEE Transactions on Antennas and Propagation • 2007
View 1 Excerpt

A diagonal split-cell model for the high-order symplectic FDTD scheme,

W. Sha, X. L. Wu, M. S. Chen
PIERS Online, • 2006
View 1 Excerpt

Complementary bases in symplectic matrices and a proof that their determinant is one,

F. M. Dopico, C. R. Johnson
Linear Algebra and Its Applications, • 2006
View 1 Excerpt

On independence completeness of Maxwell’s equations and uniqueness theorems in electromagnetics,

X. L. Zhou
Progress In Electromagnetics Research, • 2006
View 1 Excerpt

Symplectic Geometric Algorithm for Hamiltonian Systems, Zhejiang Science & Technology

K. Feng, M. Z. Qin
2003
View 2 Excerpts

Higher-order unconditionally stable algorithms to solve the time-dependent Maxwell equations.

Physical review. E, Statistical, nonlinear, and soft matter physics • 2002
View 1 Excerpt

A threedimensional fourth-order finite-difference time-domain scheme using a symplectic integrator propagator,

T. Hirono, W. Lui, S. Seki, Y. Yoshikuni
IEEE Transactions on Microwave Theory and Techniques, • 2001
View 2 Excerpts

Similar Papers

Loading similar papers…