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Open AccessArticle

Generation of Coherent and Spatially Squeezed States of an Electromagnetic Beam in a Planar Inhomogeneous Dielectric Waveguide

by 1,2,3,*, 3,4, 3,4,5 and 2,3,4,*
1
D. V. Skobeltsyn Institute of Nuclear Physics, Moscow State University, 119991 Moscow, Russia
2
P. N. Lebedev Physical Institute, RAS, 119991 Moscow, Russia
3
MТUCI—Moscow Technical University of Communication and Informatics, 111024 Moscow, Russia
4
Faculty of Physics, Moscow State University, 119991 Moscow, Russia
5
Moscow Institute of Physics and Technology, Dolgoprudny, 141700 Moscow, Russia
*
Authors to whom correspondence should be addressed.
Photonics 2019, 6(3), 84; https://doi.org/10.3390/photonics6030084
Received: 10 June 2019 / Revised: 26 July 2019 / Accepted: 27 July 2019 / Published: 30 July 2019
(This article belongs to the Special Issue Advanced Optical Materials and Devices)
We use slow-varying amplitude approximation (SVA) for the wave equation to study both analytically and numerically propagation of an electromagnetic beam in the waveguide structure with parabolic susceptibility spatial dependence. Such a structure is similar to the harmonic oscillator in quantum mechanics. We analyze this structure as a single mode guide and introduce the notion of number of “photons” in the mode. In particular, we pay special attention to the possibility of effective build-up of the coherent and spatially squeezed vacuum states of the mode that can be of interest for a number of practical applications. The way to provide these types of mode excitation is suggested. Several applications for controlling the mode composition of an electromagnetic wave in the parabolic index-gradient waveguide for various frequency ranges are considered. View Full-Text
Keywords: slow-varying amplitude approximation; Schroedinger equation; coherent and squeezed vacuum states; integrated photonics; parabolic index-gradient fiber slow-varying amplitude approximation; Schroedinger equation; coherent and squeezed vacuum states; integrated photonics; parabolic index-gradient fiber
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Bogatskaya, A.; Schegolev, A.; Klenov, N.; Popov, A. Generation of Coherent and Spatially Squeezed States of an Electromagnetic Beam in a Planar Inhomogeneous Dielectric Waveguide. Photonics 2019, 6, 84.

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