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Quasi-analytic formalism for mode characteristics in highly overmoded rectangular dielectric waveguide bends
Daniel Lenz1, Daniel Erni, Werner Bächtold
1Swiss Federal Institute of Technology Zurich, Laboratory for Electromagnetic Fields and Microwave Electronics, Communication Photonics Group, CH-8092 Zurich, Switzerland. lenz@photonics.ee.ethz.ch
Summary
A new quasi-analytic method accurately simulates optical waveguide bends for printed circuit boards. This fast technique is crucial for developing advanced optical interconnects.
Area of Science:
- Optics and Photonics
- Electromagnetics
- Waveguide Theory
Background:
- Highly overmoded rectangular waveguides are essential for modern optical interconnects on printed circuit boards.
- Efficient simulation methods are needed to analyze mode characteristics in these waveguides, especially in bends.
Purpose of the Study:
- To present a fast and simple quasi-analytic method for simulating mode characteristics in highly overmoded rectangular dielectric waveguide bends.
- To provide an accurate model for predicting modal behavior and losses in waveguide bends.
Main Methods:
- Combines a simple mode solver with the Melloni et al. formalism for a quasi-analytic bend transfer function.
- Introduces a method for approximating leaky modes.
- Utilizes matrix notation for convenient calculations.
Main Results:
- The developed model accurately predicts individual modal phases and amplitudes within bends.
- The method enables the calculation of coupling losses.
- Validation was performed using 3D beam-propagation-method simulations.
Conclusions:
- The proposed quasi-analytic method is a convenient and accurate tool for analyzing overmoded rectangular dielectric waveguide bends.
- This technique supports the design and optimization of optical interconnects on printed circuit boards.