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A Hamiltonian formulation for coupled-wave equations

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2 Author(s)
Hirono, T. ; NTT Opto-Electron. Labs., Kanagawa, Japan ; Yoshikuni, Y.

We construct a Hamiltonian formulation for coupled-wave equations that describes the envelope functions of the electric field in an almost-periodic distributed-feedback waveguide with gain or loss. From the Hamiltonian, we can derive that the determinant of the fundamental matrix of the waveguide is always unity. A perturbation formula for the eigenvalues of the coupled-wave equations is simply derived using the Hamiltonian formulation. The Hamiltonian also provides the basis for the numerical calculation of the eigenvalues using the variational method

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Quantum Electronics, IEEE Journal of  (Volume:30 ,  Issue: 8 )