Hamiltonian Symplectic Semi-Analytical Method and Its Application in Inhomogeneous Electromagnetic Waveguides

SUN Yan; XIE Jun

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SUN Yan, XIE Jun. Hamiltonian Symplectic Semi-Analytical Method and Its Application in Inhomogeneous Electromagnetic Waveguides[J]. Applied Mathematics and Mechanics, 2005, 26(3): 356-362.

Citation:

SUN Yan, XIE Jun. Hamiltonian Symplectic Semi-Analytical Method and Its Application in Inhomogeneous Electromagnetic Waveguides[J]. Applied Mathematics and Mechanics, 2005, 26(3): 356-362.

Citation:

SUN Yan, XIE Jun. Hamiltonian Symplectic Semi-Analytical Method and Its Application in Inhomogeneous Electromagnetic Waveguides[J]. Applied Mathematics and Mechanics, 2005, 26(3): 356-362.

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Hamiltonian Symplectic Semi-Analytical Method and Its Application in Inhomogeneous Electromagnetic Waveguides

SUN Yan,
XIE Jun

Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200030, P. R. China

Received Date: 2003-10-14
Rev Recd Date: 2004-11-12
Publish Date: 2005-03-15

Abstract

Abstract

Dual vectors are applied in Hamilton system of applied mechanics. Electric and magnetic field vectors are the dual vectors in electromagnetic field. The Hamilton system method is introduced into the analysis of electromagnetism waveguide with inhomogeneous materials. The transverse electric and magnetic fields are regarded as the dual. The basic equations are solved in Hamilton system and symplectic geometry. With the Hamilton variational principle, the symplectic semianalytical equations are derived and preserve their symplectic structures. The given numerical example demonstrates the solution of LSE mode in a dielectric waveguide.
- Hamilton system,
- symplectic geometry,
- semianalytical solution,
- inhomogeneous electromagnetic waveguide

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References(7)

References

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