Abstract

The evolution of a fiber-fuse phenomenon in a single-mode optical fiber was studied theoretically. To clarify both the silica-glass densification and cavity formation, which have been observed in fiber fuse propagation, we investigated a nonlinear oscillation model using the Van Der Pol equation. This model was able to phenomenologically explain both the densification of the core material and the formation of periodic cavities in the core layer as a result of a relaxation oscillation.

Highlights

  • Owing to the progress of dense wavelength division multiplexing (DWDM) technology using an optical-fiber amplifier, we can exchange large amounts of data at a rate of over 60 Tbit/s [1]

  • Space-division multiplexing (SDM) technology using a multicore fiber (MCF) was proposed [3, 4], and 1 Pbit/s transmission was demonstrated by using a lowcrosstalk 12-core fiber [5]

  • The dynamical behavior of the perturbed density ρ1 resulting from fiber-fuse propagation can be represented by the Van Der Pol equation: ρ1 − ε (1 − βρ12) ρ1 + ω02ρ1 = 0, (B.1)

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Summary

Introduction

Owing to the progress of dense wavelength division multiplexing (DWDM) technology using an optical-fiber amplifier, we can exchange large amounts of data at a rate of over 60 Tbit/s [1]. In an inner area with diameter d ≤ dcr, a fiber fuse (high-temperature plasma) propagates and silica glass is melted [17]. When the pump power was increased or decreased rapidly, the increment in length of the void-free segment or the occurrence of an irregular void pattern was observed, respectively [25] These cavities have been considered to be the result of either the classic Rayleigh instability caused by the capillary effect in the molten silica surrounding a vaporized fiber core [31] or the electrostatic repulsion between negatively charged layers induced at the plasma-molten silica interface [32, 33]. The author describes a novel nonlinear oscillation model using the Van Der Pol equation and qualitatively explains both the silica-glass densification and cavity formation observed in fiber-fuse propagation

Nonlinear Oscillation Behavior in Ionized Gas Plasma
Electrostatic Interaction between Charged Surface and Plasma
Findings
Nonlinear Parameter β in Van Der Pol Equation
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