Abstract

This paper compares the dispersion in metamaterials (MMs) and some Thorlabs’ conventional glass, and finds that MMs may exhibit much more substantial dispersion (e.g., three orders of magnitude larger dispersion). With such large dispersion, a transmission more than 22 km is impossible because of pulse splitting resulting from the third-order dispersion. However, MMs are artificial materials with their electric and magnetic plasma frequencies tunable depending upon their structures. We take advantage of such tunability to tailor the dispersive response of MMs and investigate the dependence of dispersion on the MM structural parameters. We make dispersion management by (1) searching for the existence of some ‘good’ dispersion points and numerically demonstrating 90 km long transmission with almost no pulse width expansion and any impact from a higher order dispersion in the MM we designed; and (2) searching for the possibility for group-velocity dispersion (GVD) compensation and demonstrating 120 km transmission by configuring the dispersion-engineered MM.

Highlights

  • Chromatic dispersion is the phenomenon in which the phase velocity of an optical wave depends on its frequency because of the material and structure’s geometry [1]

  • Since dispersion is a serious factor in MMs, dispersion management is an indispensable element while light propagates in MM waveguides, in which dispersive effects accumulate to set limits on both the distance and the bit rate of the data transfer

  • This paper studies the dependence of dispersion on the electric and magnetic plasma frequencies, and searches for the possibilities of dispersion management

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Summary

Introduction

Chromatic dispersion is the phenomenon in which the phase velocity of an optical wave depends on its frequency because of the material and structure’s geometry [1]. The dispersive properties of most MMs are determined by the electric and magnetic plasma frequencies through the Drude model [15,16,17]. MMs are artificial materials with their electric and magnetic plasma frequencies tunable, depending upon their constituents and structures. This paper studies the dependence of dispersion on the electric and magnetic plasma frequencies, and searches for the possibilities of dispersion management. Demonstrations of a 90 km long transmission, with almost no pulse width expansion and any impact from a higher order dispersion in the MM we designed, and a 120 km transmission, by configuring the dispersion-engineered MMs, are numerically realized

Theory of Light Pulse Propagations in MMs
Dispersion in a Regularly Exampled MM
Light Pulse Propagation in the MM
Impact of β 2 at ω D
Design of the Optimal Dispersion
Dispersion Management
Findings
Conclusions
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