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Conferences > NLGW > 2002 > NLMD > NLMD17

Canonical Hamiltonian formulation of nonlinear pulse propagation in 3D photonic bandgap structures

Suresh Pereira, Philip Chak, and J. E. Sipe

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Abstract

We present a canonical Hamiltonian formulation of Maxwell’s equations in the presence of a nonlinear polarization. We then use this formulation to derive pulse propagation equations in a three-dimensional photonic bandgap (PBG) material with a Kerr nonlinearity. We start by writing a Hamiltonian that is equal to the energy in the electromagnetic field1

© 2002 Optical Society of America

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