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Maclaurin-series method for calculating dispersion in arrayed-waveguide grating multiplexers.

Tomohiro Hirose¹, Kazumasa Takada

¹Department of Electronics Engineering, Gunma University, 1-5-1 Tenjin-cho, Kiryu, Gunma 376-8515, Japan. hirose@el.gunma-u.ac.jp

|February 16, 2010

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This study introduces a Maclaurin-series method to calculate dispersion in arrayed waveguide gratings (AWGs). The method accurately predicts dispersion characteristics, crucial for optimizing AWG performance.

Area of Science:

Photonics and Optical Engineering
Waveguide Optics
Integrated Optics

Background:

Arrayed waveguide gratings (AWGs) are key components in Wavelength Division Multiplexing (WDM) systems.
Accurate dispersion characterization is essential for the performance of AWGs.
Phase errors and amplitude variations in AWGs can significantly impact their optical performance.

Purpose of the Study:

To develop a novel Maclaurin-series method for calculating dispersion in AWGs.
To accurately determine the intercept, gradient, and curvature of dispersion within the passband.
To analyze the physical impact of phase errors on dispersion characteristics.

Main Methods:

Application of a third-order Maclaurin series expansion.
Utilizing measured phase error and amplitude distribution data from AWGs.

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Comparison of calculated dispersion with measurements from an optical network analyzer.

Main Results:

The Maclaurin-series method effectively calculates dispersion from phase and amplitude data.
Calculated dispersion parameters (intercept, gradient, curvature) show good agreement with experimental measurements.
The method provides insights into the physical effects of phase errors on dispersion.

Conclusions:

The presented Maclaurin-series method offers an efficient and accurate approach for AWG dispersion analysis.
This technique aids in understanding and mitigating dispersion-related issues in AWG devices.
The findings contribute to the design and optimization of high-performance optical multiplexers.