Beam Propagation in Optical Waveguides: 3D Semi Vectorial Nonparaxial


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BPM3D-SV Module


Design and Simulate Optical Waveguides with 3D Semi Vectorial, Nonparaxial Beam Propagation Method

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Module Overview


This module simulates 3D semi vectorial wide-angle beam propagation in waveguides with high index contrast using finite difference split step scheme. The method gives good accuracy even for moderate discretization and is stable with the reference refractive index. It can also model total internal reflection very efficiently.

 


Module Features

3 Dimensional
Semi Vectorial
Nonparaxial

Finite Difference Split-Step Method
The method does not utilize the ADI scheme
Ease of PML boundary condition with only a marginal increase in computational effort

Completely analytical formulation without involving any numerical matrix inversion

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Module Applications

Three Dimensional Wide Angled Optical Waveguides

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Module Type

Software Module with Matlab (.m files)

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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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SIMULATED GENERAL OPTICAL WAVEGUIDE STRUCTURE

 

Mode: TE0 mode

Waveguide: Rectangular core waveguide

Cross-section: 5×5 µm
Refractive index of the core: 1.45
Refractive index of the cladding: 1.446
Wavelength: 1.55 µm
Waveguide tilted at various angles with respect to the general direction of propagation z  in the x – z plane only

Computational parameters: Sampling step size y = 0.8333µm, x = y×cos(\theta), z = 0.1µm

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SIMULATION EXAMPLES

 

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1-propagation-of-the-quasi-te-mode-in-a-strongly-guiding-waveguide

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Propagation of the quasi TE Mode in a Strongly Guiding Waveguide (n_{co} = 3.5 and n_{cl} = 3.1693) Tilted at 30 degree  to the z-axis in the x-z Plane.

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2-field-profile-after-20-micron-propagation-of-the-quasi-te-mode-in-a-strongly-guiding-waveguide

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Field Profile after 20 μm Propagation of the quasi TE Mode in a Strongly Guiding Waveguide (n_{co} = 3.5 and n_{cl} = 3.1693) Tilted at 30 degree to the z-axis in the x-z plane.
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3-total-internal-reflection-occurring-in-a-v-shaped-waveguide-with-an-air-facet

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Total Internal Reflection Occurring in a V-Shaped Waveguide with an Air Facet. The Incident Field is Tilted at 10 degree to the z-axis.

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4-field-profile-after-total-internal-reflection-occurring-in-a-v-shaped-waveguide-with-an-air-facet.

Field Profile after Total Internal Reflection Occurring in a V-Shaped Waveguide with an Air Facet. The Incident Field is Tilted at 10 degree to the z-axis.

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Reference where this Module used for Simulations

Finite Difference Split Step Method for Nonparaxial Semi Vectorial Beam Propagation in 3D, Optical and Quantum Electronics, Volume 40, Issue 11, September 2008.


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