Abstract

In optical communication systems, the main aim is to control and limit the unwanted Crosstalk (CT) effects on wavelength divisions multiplexing (WDM) channel, which degrade the transmission performance. To do this, a simple approximate formula was presented for calculating the CT of multiwaveguide directional coupler (DC) using Finite Differences (FD) method. Through this formula, the input power can be controlled to be entered from one specified channel, which is required in some applications. Then, the evolution of the power has been determined without using Beam Propagation Method (BPM). The purpose of this paper is to calculate the CT for arbitrary input channel. Result obtained from this formula are in a complete agreement with the previous works for two and three waveguide directional couplers.

Highlights

  • Directional couplers are, in general, composed of two parallel waveguides (WG) placed close enough to give rise to optical coupling

  • There is no general mathematical expression in the literatures for determining the CT in multichannel DC, in this paper, an analytical expression for calculating CT in multiwaveguide directional couplers (MWG DC) via controlling the power to be input from a chosen channel was derived

  • MWG DC for a chosen ith input channel after travelling a distant L can be expressed through the following formula:

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Summary

Introduction

Directional couplers are, in general, composed of two parallel waveguides (WG) placed close enough to give rise to optical coupling. The most important problems in optical communication systems are unwanted CT, which is one of the factors that results in increasing the bit error rate. Crosstalk is quoted as the loss in dB between the input level of the signal and its (unwanted) signal strength in the adjacent channel. There is no general mathematical expression in the literatures for determining the CT in multichannel DC, in this paper, an analytical expression for calculating CT in multiwaveguide directional couplers (MWG DC) via controlling the power to be input from a chosen channel was derived.

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