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Modeling of long-period fiber gratings with both refractive index and diameter modulation

Israel Palma Quiroz, I. Flores- Llamas, Román Osorio-Comparán, Sergei N. Khotiaintsev, Volodymyr Svyryd

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Abstract

We present a mathematical model of long-period fiber gratings (LPFGs) which accounts for simultaneous perturbations of various parameters of the optical fiber: its refractive index and radius. We also present the results of the calculation of the cross-coupling between the fundamental mode of the fiber core and symmetric LP modes of the cladding as a function of the mode order, for the step-index optical fiber with harmonic modulation of the refractive index and radius both of the core and cladding.

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What this paper is about

We present a mathematical model of long-period fiber gratings (LPFGs) which accounts for simultaneous perturbations of various parameters of the optical fiber: its refractive index and radius. We also present the results of the calculation of the cross-coupling between the fundamental mode of the fiber core and symmetric LP modes of the cladding as a function of the mode order, for the step-index optical fiber with harmonic modulation of the refractive index and radius both of the core and cladding.

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Available abstract

We present a mathematical model of long-period fiber gratings (LPFGs) which accounts for simultaneous perturbations of various parameters of the optical fiber: its refractive index and radius. We also present the results of the calculation of the cross-coupling between the fundamental mode of the fiber core and symmetric LP modes of the cladding as a function of the mode order, for the step-index optical fiber with harmonic modulation of the refractive index and radius both of the core and cladding.

Key concepts: Cladding (metalworking), Normalized frequency (unit), Graded-index fiber, Step-index profile, Optics, Long-period fiber grating, Materials science, Cladding mode

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