Beam Propagation in Optical Waveguides: 2D Bi-Directional Nonparaxial

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BPM2D-BiDi Module


Design and Simulation of Optical Waveguides with 2D Bi-Directional, Nonparaxial Beam Propagation Method



Module Overview


This module simulates the wave propagation through multiple reflecting interfaces in 2D Optical Waveguides using a Bi-Directional Beam Propagation Method based on finite difference split-step, nonparaxial scheme. The method is non-iterative, highly efficient, simulates non-paraxial propagation very accurately and matches RCWA and available experimental results very well. The method can simulate multiple reflecting interfaces in forward and backward directions without any special modifications and with much less computational effort than other Bi-BPM and FDTD methods. Simulation examples have been presented for Facet with High Reflection Multilayer Coatings and Tilted Bragg Gratings (TBGs) in 2D Optical Waveguides. The customized applications for other multiple reflecting interfaces are available on user’s request.

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Module Features

Nonparaxial
Bi-Directional
2 Dimensional
Finite Difference Split-Step Method

Module Applications

2D Waveguide with Arbitrary Multiple Reflecting Interfaces
2D Waveguide Facet with High Reflection Multilayer Coatings
2D Waveguide Bragg Gratings (Tilted / Untilted)
Finite Beams in Volume Bragg Gratings
Customized Applications are Available on User’s Request

Module Type

Software Module with Matlab (.m files)

Module Users

OEMs and Other Photonics Software Companies can Implement this Module into their Software and Hardware Products

Government lab researchers

Company researchers

University Researchers

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SIMULATION EXAMPLES

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EXAMPLE – 1

 

2D Waveguide Facet with High Reflection Multilayer Coatings

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fig1_2d-waveguide-facet-with-high-reflection-coatings


Simulated Refractive Index Profile of 2D Waveguide with High Reflection Multilayer Coatings

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fig2_facet_irradiance-for-the-forward-and-reflected-fields

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Irradiance   ri(z)*|E|^2    for the Forward and Reflected Fields

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fig3_facet_total-field-variation-with-z


Cross Sectional View of   ri(z)*|{E_{total}}|^2   Variation with z

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fig4_facet_forward-field-variation-with-z


Cross Sectional View of   ri(z)*|{E_{forward}}|^2   Variation with z

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fig5_facet_backward-field-variation-with-z


Cross Sectional View of   ri(z)*|{E_{back}}|^2   Variation with z

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EXAMPLE – 2

 

2D Waveguide with Tilted Gratings

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fig1_gratings_2d-waveguide-with-tilted-gratings.

Simulated Refractive Index Profile of 2D Waveguide with Tilted Gratings

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fig2_gratings_irradiance-for-the-forward-and-reflected-fields.

Irradiance   ri(z)*|E|^2   for the Forward and Reflected Fields

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fig3_gratings_total-field-variation-with-z

 

Cross Sectional View of   ri(z)*|{E_{total}}|^2   Variation with z

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fig4_gratings_forward-field-variation-with-z

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Cross Sectional View of   ri(z)*|{E_{forward}}|^2   Variation with z

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fig5_gratings_backward-field-variation-with-z

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Cross Sectional View of   ri(z)*|{E_{back}}|^2   Variation with z

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Reference where this Module used for Simulations

Simulation of Multiple Reflecting Structures Using a Nonparaxial Bidirectional Split-Step Finite Difference Method, IEEE / OSA Journal of Lightwave Technology, Volume 31, Issue 13,  July 1, 2013.

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Contact Us: Headquarter: Ottawa, Canada covering USA and Europe, Distributors: South America, Japan, India, Australia, China, South Korea.