Abstract

Classical optic entanglement between the radial and angular degrees of freedom in Laguerre–Gaussian mode superpositions is explored within the framework of symmetric first-order optical systems. The Gouy phase picked by a Laguerre–Gaussian mode on free propagation is seen to be of consequence to the radial–angular entanglement in the mode superpositions. We illustrate examples of mode superpositions for which radial–angular entanglement is preserved on passage through symmetric first-order optical systems. An indicator of radial–angular entanglement in two-mode Laguerre–Gaussian superpositions is demonstrated to be a robust free space signaler in the presence of atmospheric turbulence, through examples.

© 2018 Optical Society of America

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