6533b828fe1ef96bd12886af

RESEARCH PRODUCT

Modeling of photonic crystal fibers from the scalar wave equation with a purely transverse linearly polarized vector potential

Miguel V. AndrésVictor H. AristizabalPedro Torres

subject

PhysicsLinear polarizationQuantum mechanicsScalar (mathematics)Plane wavePhysics::OpticsStatistical and Nonlinear PhysicsScalar potentialWave equationScalar fieldAtomic and Molecular Physics and OpticsPhotonic crystalVector potential

description

In this work, we propose a new technique for modeling light propagation in photonic crystal fibers where the electric field is evaluated from a purely transverse linearly polarized vector potential. The vector potential in a nonuniform dielectric obeys a wave equation coupled to the scalar potential, but it can be reduced to a scalar wave equation when the coupling term is ignored to the lowest order approximation. We show that this method gives reliable results for photonic crystal fibers when the scalar analysis is improved by a perturbational correction.

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