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Physical Review A

Adiabatic evolution of light in an array of parallel curved optical waveguides

H. S. Hristova, Andon A. Rangelov, S. Guérin, Nikolay V. Vitanov

Published Jul 8, 2013• 10 citations

Abstract

Adiabatic evolution of light in parallel curved optical waveguide array is investigated theoretically. This problem is shown to bear a close connection with the process of coherent population transfer in a ``bow-tie'' model in quantum physics. Under certain conditions on the geometry of the waveguides and the optical properties of the system complete light transfer between the outer waveguides is achieved. Special attention is paid to the case of three waveguides, which is analyzed using the solutions of the well-known bow-tie model. The analytic solution is used to design recipes for creating arbitrary superpositions of light intensity between the waveguides, with possible applications in achromatic optical multiple-beam splitters. For more than three waveguides complete light transfer between the outer waveguides and beam splitting is demonstrated numerically.

DOI: 10.1103/physreva.88.013808

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Adiabatic evolution of light in parallel curved optical waveguide array is investigated theoretically. This problem is shown to bear a close connection with the process of coherent population transfer in a ``bow-tie'' model in quantum physics. Under certain conditions on the geometry of the waveguides and the optical properties of the system complete light transfer between the outer waveguides is achieved. Special attention is paid to the case of three waveguides, which is analyzed using the solutions of the well-known bow-tie model. The analytic solution is used to design recipes for creating arbitrary superpositions of light intensity between the waveguides, with possible applications in achromatic optical multiple-beam splitters. For more than three waveguides complete light transfer between the outer waveguides and beam splitting is demonstrated numerically.

A variable achromatic optical beam splitter with one input and

N

output waveguide channels is introduced. The physical mechanism of this multiple beam splitter is adiabatic passage of light between neighboring optical waveguides in a fashion reminiscent of the technique of stimulated Raman adiabatic passage in quantum physics. The input and output waveguides are coupled via a mediator waveguide and the ratios of the light intensities in the output channels are controlled by the couplings of the respective waveguides to the mediator waveguide. Due to its adiabatic nature the beam splitting efficiency is robust to variations in the experimental parameters.

An optical analog to coherent population return (CPR) is carried out in two evanescently coupled waveguides. Thepropagation constants of the two waveguides are different and the coupling between them is slowly varied for the adiabatic condition.The analog to the CPR corresponds to complete light return. Furthermore, we simulate two extensions of the CPR. One is that thecoupling is unchanged after it reaches its maximum, while the another one is that the coupling is replaced by a sudden decrease fromthe maximum to zero (half-CPR). We can both observe nearly 50:50 beam splitting in the two extensions. However, the half-CPRperforms better, which implies its application for achromatic beam splitters. Finally, we note that the waveguide structure proposedhere for beam splitters is simpler than those based on the stimulated Raman adiabatic passage and the rapid adiabatic passage.

We demonstrate experimentally the broadband and adiabatic light transfer in coupled waveguides based on multiple stimulated Raman adiabatic passage. Our experimental platform utilizes planar-type reconfigurable optically induced waveguide arrays and allows for efficient and robust transfer of light from an input waveguide over multiple states (up to nine) to an output waveguide. The same waveguide structures are tested for two propagation wavelengths separated by more than 200 nm, proving the achromaticity of the transfer process.

In this paper, optical simulation of double rapid adiabatic passage (RAP) is investigated in three evanescently coupled waveguides with longitudinally varying detunings of the propagation constants. Unlike the time-dependent detuning which is kept linearly increased or decreased when the RAP is applied in two-state atomic systems, here all possible situations of the corresponding space-dependent detunings with or without sign flips are considered. At the maximum of the couplings in the waveguide structure, the detunings tend to become zero and the sign flips are supposed to occur. Theoretical analysis shows that different light evolutions such as light splitting, complete light transfer, or complete light return can be realized adiabatically, depending on the choices of the detunings. Moreover, two of the above three phenomena can be observed simultaneously in the waveguide structure under some circumstances. The theoretical analysis is confirmed by numerical calculations. Due to the robustness of the double RAP, the technique can be applied to design optical devices such as achromatic beam splitters or beam couplers.