Abstract
We introduce adiabatic transitions connecting two supersymmetric partner profiles by smoothly modifying the transverse refractive index profile along the propagation direction. With this transformation, one of the transverse electric modes evolves adapting its shape and propagation constant without being coupled to other guided or radiated modes while the rest of the modes are radiated. This technique offers a systematic way to manipulate the modal content in systems of optical waveguides and engineer efficient and robust photonic devices such as tapered waveguides, single-waveguide mode filters, beam splitters and interferometers. Numerical simulations show that very high fidelities and transmitted powers are obtained for a broad range of devices lengths and light's wavelengths.
Highlights
Photonic integrated devices offering high fidelity, high speed transmissions and scalability [1] have become very relevant in areas like optical communications [2], labon-a-chip experiments [3] or quantum technologies [4]
We will demonstrate through numerical simulations using Finite Difference Methods the efficiency and robustness of the tapered waveguide, the single-waveguide mode filter and the symmetric beam splitter
The numerical simulations confirm that, since the adiabaticity condition is fulfilled, the T E0(0) mode is converted into the T E0(2) mode at the output port, while the T E1(0) and T E2(0) modes become radiated modes during the continuous SUSY transformations
Summary
Photonic integrated devices offering high fidelity, high speed transmissions and scalability [1] have become very relevant in areas like optical communications [2], labon-a-chip experiments [3] or quantum technologies [4]. The development of new techniques to design integrated devices, such as tapered waveguides [5], photonic lanterns [6], mode filters and multiplexers [7], yjunctions [8] or interferometers [9], with enhanced performances is of the main interest. SUSY techniques have been applied to design refractive index profiles with nontrivial properties [18, 19], systems with identical scattering characteristics [20, 21] or digital multimode devices [22]. In the most general case of a photonic lattice with N waveguides, its superpartner has N − 1 dissimilar channels [13, 14], and, by connecting both profiles, one is able to design structures with different number of channels at the input and output ports. Continuous SUSY transformations offer a systematic way to create tapered waveguides and mode filters using a single-waveguide structure or beam splitters and interferometers using a two-waveguide structure
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