Abstract

Spatial adiabatic passage represents a new way to design integrated photonic devices. In conventional adiabatic passage, designs require smoothly varying waveguide separations. Here we show modelling of adiabatic passage devices where the waveguide separation is varied digitally. Despite digitisation, our designs show robustness against variations in the input wavelength and refractive index contrast of the waveguides relative to the cladding. This approach to spatial adiabatic passage opens new design strategies and hence the potential for new photonics devices.

Highlights

  • The continued integration of photonic devices into multi-functional chips is one of the most important drivers for the modern photonics industry [1]

  • We study the experimental implementation of our designs in the following paper [19]

  • We use realistic writing parameters and material properties to generate the effective tight-binding model for our systems of interest. Using these parameters we present designs for three-state digital adiabatic passage devices, we analyse some of the expected design limitations and their effects on performance, including nearest neighbour coupling and non-uniformity in the waveguide effective refractive indices

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Summary

Introduction

The continued integration of photonic devices into multi-functional chips is one of the most important drivers for the modern photonics industry [1]. For any digital variation in nearest neighbor couplings it is possible to determine a compensated scheme, explained below, where the lengths of the piecewise waveguide segments, which we term waveguidelets, are varied so as to optimise the transport [12] This optimisation method is compatible with any other system that can be described with (or approximated by) a tight-binding basis inter alia strip waveguides, (hybrid) ridge waveguides, planar waveguides, multi-core fibres, and may be useful for non-photonic systems [21] opening up more new potential design opportunities. We use realistic writing parameters and material properties to generate the effective tight-binding model for our systems of interest Using these parameters we present designs for three-state digital adiabatic passage devices, we analyse some of the expected design limitations and their effects on performance, including nearest neighbour coupling and non-uniformity in the waveguide effective refractive indices.

Tight-binding Hamiltonian
Device design
Non-dissipative physical design loss mechanisms
Next nearest neighbour coupling
Propagation constant mismatch
Digital adiabatic power dividers
Five-state symmetric adiabatic passage
Four-state controlled ratio splitter
Conclusion
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