Generation of Coherent and Spatially Squeezed States of an Electromagnetic Beam in a Planar Inhomogeneous Dielectric Waveguide
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 mec...
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| Format: | Article |
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MDPI AG
2019-07-01
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| Series: | Photonics |
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| Online Access: | https://www.mdpi.com/2304-6732/6/3/84 |
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| author | Anna Bogatskaya Andrey Schegolev NikolayKlenov Alexander Popov |
| author_facet | Anna Bogatskaya Andrey Schegolev NikolayKlenov Alexander Popov |
| author_sort | Anna Bogatskaya |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-11T21:10:39Z |
| format | Article |
| id | doaj.art-043239bed913492d944d049643044f87 |
| institution | Directory Open Access Journal |
| issn | 2304-6732 |
| language | English |
| last_indexed | 2024-12-11T21:10:39Z |
| publishDate | 2019-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Photonics |
| spelling | doaj.art-043239bed913492d944d049643044f872022-12-22T00:50:43ZengMDPI AGPhotonics2304-67322019-07-01638410.3390/photonics6030084photonics6030084Generation of Coherent and Spatially Squeezed States of an Electromagnetic Beam in a Planar Inhomogeneous Dielectric WaveguideAnna Bogatskaya0Andrey Schegolev1NikolayKlenov2Alexander Popov3D. V. Skobeltsyn Institute of Nuclear Physics, Moscow State University, 119991 Moscow, RussiaMТUCI—Moscow Technical University of Communication and Informatics, 111024 Moscow, RussiaMТUCI—Moscow Technical University of Communication and Informatics, 111024 Moscow, RussiaP. N. Lebedev Physical Institute, RAS, 119991 Moscow, RussiaWe 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.https://www.mdpi.com/2304-6732/6/3/84slow-varying amplitude approximationSchroedingerequationcoherent and squeezed vacuum statesintegrated photonicsparabolic index-gradient fiber |
| spellingShingle | Anna Bogatskaya Andrey Schegolev NikolayKlenov Alexander Popov Generation of Coherent and Spatially Squeezed States of an Electromagnetic Beam in a Planar Inhomogeneous Dielectric Waveguide Photonics slow-varying amplitude approximation Schroedingerequation coherent and squeezed vacuum states integrated photonics parabolic index-gradient fiber |
| title | Generation of Coherent and Spatially Squeezed States of an Electromagnetic Beam in a Planar Inhomogeneous Dielectric Waveguide |
| title_full | Generation of Coherent and Spatially Squeezed States of an Electromagnetic Beam in a Planar Inhomogeneous Dielectric Waveguide |
| title_fullStr | Generation of Coherent and Spatially Squeezed States of an Electromagnetic Beam in a Planar Inhomogeneous Dielectric Waveguide |
| title_full_unstemmed | Generation of Coherent and Spatially Squeezed States of an Electromagnetic Beam in a Planar Inhomogeneous Dielectric Waveguide |
| title_short | Generation of Coherent and Spatially Squeezed States of an Electromagnetic Beam in a Planar Inhomogeneous Dielectric Waveguide |
| title_sort | generation of coherent and spatially squeezed states of an electromagnetic beam in a planar inhomogeneous dielectric waveguide |
| topic | slow-varying amplitude approximation Schroedingerequation coherent and squeezed vacuum states integrated photonics parabolic index-gradient fiber |
| url | https://www.mdpi.com/2304-6732/6/3/84 |
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