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arXiv:1202.5577 · Physical Review A

Achromatic multiple beam splitting by adiabatic passage in optical waveguides

Andon A. Rangelov, Nikolay V. Vitanov

Published May 22, 2012• 53 citations
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Abstract

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.

DOI
10.1103/physreva.85.055803

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A variable achromatic optical beam splitter with one input and NNN 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.
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.
Abstract In this work, we introduce a quantum-mechanical shortcut-to-adiabatic passage (STAP) into the design of multiple beam splitter. The device consists of one input and N output waveguide (WG) channels, which are connected via a mediator WG. After reducing such (N + 2)-WG structure into a controllable 3-WG counterpart by Morris-Shore transformation, we point out that the structure is available for all possible three-level STAP methods. By implementing one of them which does not require additional couplings, we can achieve the multiple beam splitting with arbitrary ratios among the N outputs. What is more, the device length is significantly shortened. Except for this, it is quite unique that the design exhibits a one-way energy transport. The underlying physics is presented. These features may have profound impacts on exploring quantum technologies for promoting advanced optical devices.
One of the most fundamental devices for integrated optics is the beam splitter, which is often realized with a directional coupler. However, it is well known that the robustness of such devices against wavelength and/or fabrication parameter variations is limited. Three waveguide couplers based on the quantum-optical analogy of the stimulated Raman Adiabatic Passage (STIRAP) protocol have emerged as a promising solution to the aforementioned issues of device robustness [1, 2]. The tradeoff is that the adiabatic devices are generally longer than their non-adiabatic counterparts. Recently, devices using shortcuts to adiabaticity [3] have been shown to provide alternative robust beam coupling as the adiabatic devices, but at a shorter device length [4]. In this paper, we use the invariant-based inverse engineering [5] to realize a short and robust arbitrary splitting ratio three waveguide beam splitter.
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.