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Updated: Jun 12, 2026

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Modeling of a focusing grating coupler using vector scattering theory.

|June 5, 2010

Summary

This study models focusing grating coupler diffraction efficiency using vector scattering. Results compare diffracted field amplitudes to an aplanatic lens, detailing focal plane distribution for various angles.

Area of Science:

Optics and Photonics
Electromagnetics
Wave Propagation

Background:

Focusing grating couplers are essential optical components.
Accurate modeling of diffraction efficiency is crucial for device design.
Vector scattering treatment offers a rigorous approach to electromagnetic analysis.

Purpose of the Study:

To model the diffraction efficiency of a focusing grating coupler.
To analyze the diffracted field components for TE-polarized guided waves.
To compare computed amplitudes with those from an aplanatic lens.

Main Methods:

Vector scattering treatment was employed for modeling.
Solutions for diffracted field components were derived.
Amplitude comparisons were made at the exit pupil.

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Field distribution at the focal plane was computed.

Main Results:

The vector scattering model provides detailed diffraction efficiency.
TE-polarized guided wave behavior was analyzed.
Computed amplitudes align with theoretical predictions for aplanatic lenses.
Focal plane field distributions were determined for specific field angles.

Conclusions:

The vector scattering approach accurately models focusing grating couplers.
This method provides insights into optical performance and aberrations.
The findings are relevant for designing advanced optical systems.