Adiabatic Mode Conversion in Multimode Waveguides Using Computer-Generated Planar Holograms

Coherent transfer by adiabatic passage in two-dimensional lattices

“…From Eqs. (16), (17), (22) and (23) the most general solution to Eqs. (1-9), from t = t i to t = t f , can be then readily calculated.…”

“…As a final note, we mention that the STIRAP scheme discussed so far for the rectangular lattice of Fig.1(a) can be implemented, for example, in an array of 3 × 3 optical waveguides with controlled separation distances, generalizing the optical set ups discussed in Refs. [15,16].…”

Fast mode splitting in engineered multimode waveguides

“…Assuming the CGPH only couples the nearest-neighboring modes, the evolution of mode amplitudes obey the coupled mode equations [3] j d dz…”

“…The similarities also allow a straightforward adaptation of schemes developed for quantum system manipulation to the design of waveguide-based devices. We have previously proposed adiabatic mode splitting devices using computer-generated planar holograms (CGPHs) [3] in multimode waveguides based on fractional stimulated Raman adiabatic passage (f-STIRAP) [4] in a 5-level system. This scheme allows adiabatic mode conversion/splitting in multimode waveguides without strict restrictions on the coupling parameters, but the device length is long in order to satisfy the adiabatic criterion.…”

Engineering of fast mode conversion in multimode waveguides

“…The similarities allow a straightforward adaptation of schemes developed for quantum system manipulation to the design of waveguide based devices. We have previously proposed adiabatic mode conversion devices using computer-generated planar holograms (CGPHs) [13] in multimode waveguides based on stimulated Raman adiabatic passage (STIRAP) [14] in a three-level system. Figure 1 shows a three-level system and the schematic of a corresponding CGPH loaded multimode waveguide, where multiplexed longperiod gratings with coupling coefficient variations along the propagation direction are used to mimic the delayed laser pulses in STIRAP.…”