Abstract

In this work we demonstrate the existence of orbital angular momentum (OAM) bright and dark supermodes in a three-evanescently coupled cylindrical waveguides system. Bright and dark supermodes are characterized by their coupling and decoupling from one of the waveguides, respectively. In addition, we demonstrate that complex couplings between modes of different waveguides appear naturally due to the characteristic spiral phase-front of OAM modes in two-dimensional configurations where the waveguides are arranged forming a triangle. Finally, by adding dissipation to the waveguide uncoupled to the dark supermode, we are able to filter this supermode out, allowing for the design of OAM mode cloners and inverters.

Highlights

  • Modes in the basis left-center-right (LCR, top) and in the basis bright-center-dark (BCD, bottom)

  • Bright and dark supermodes are characterized by their coupling and decoupling from the central waveguide of the system, respectively

  • We have shown that the output optical modes from the waveguides can be engineered by adding dissipation to the central waveguide, which makes the system absorb the bright supermodes when they propagate through the system

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Summary

Introduction

Modes in the basis left-center-right (LCR, top) and in the basis bright-center-dark (BCD, bottom). In the basis LCR, L± and R± modes are only coupled to the central waveguide since left and right waveguides are assumed to be far enough to neglect its direct coupling. In the basis BCD, bright supermodes B± and dark supermodes D± are strongly coupled and completely decoupled to the waveguide C, respectively. For the particular case of the in-line and the right triangle configurations, we demonstrate the existence of bright and dark supermodes in the system, which are characterized by their coupling and decoupling from the central waveguide, respectively. We discuss that any of these two configurations can be used to implement an OAM cloner and an OAM inverter by adding dissipation in the central waveguide while taking advantage of the projection of the input state onto the dark supermode when it propagates through the system

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