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Fresnel diffraction effects in Fourier-transform arrayed waveguide grating spectrometer.

J A Rodrigo, P Cheben, T Alieva

|June 25, 2009

Summary

This summary is machine-generated.

We analyzed Fourier-transform arrayed waveguide gratings (FT AWG) and discovered the Moiré-Talbot effect, a spatial modulation impacting spectral retrieval. This finding improves waveguide spectrometer performance by reducing crosstalk.

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Area of Science:

Photonics
Optical Engineering

Background:

Fourier-transform arrayed waveguide gratings (FT AWGs) are key components in optical spectroscopy.
Understanding diffraction effects is crucial for optimizing FT AWG performance.

Purpose of the Study:

To analyze FT AWGs in the Fresnel diffraction regime.
To investigate the Moiré-Talbot effect and its impact on spectral information retrieval.
To demonstrate crosstalk reduction in waveguide Fourier-transform spectrometers.

Main Methods:

Derivation of an analytical expression for the modulated field.
Numerical simulations using the angular spectrum method to solve the Fresnel diffraction integral.
Simulating a waveguide Fourier-transform spectrometer with specific parameters (180 waveguides, interference order 40, 0.1 nm resolution, 8 nm bandwidth, 1.5 μm wavelength).

Main Results:

Observation and explanation of the Moiré-Talbot effect in FT AWGs.
Illustration of spectral information retrieval in the presence of the Moiré-Talbot effect.
Demonstration of crosstalk reduction from -20 dB to -40 dB using Gaussian apodization in simulations.

Conclusions:

The Moiré-Talbot effect influences spectral retrieval in FT AWGs.
Gaussian apodization significantly reduces crosstalk in waveguide Fourier-transform spectrometers.
This analysis provides insights for designing improved optical spectrometer devices.