A. Kovalyova, A. Markovsky, T. Fadeyeva, A. Rubass
We have made a theoretical modeling of the evolution of a monochromatic Gaussian beam diffracted by the angle formed by three sides of the phase wedge different types. We have found that the edges of the phase wedge generate macroscopic chains of identical optical vortices that disappear at the far field zone. At the same time, the π -phase plate can reproduce a very complex wave field whose structure depends on the scale of observation. At large scales there appear two π -cuts resembling broken edge dislocations with perpendicular directions. At small (some microns) scales two short vortex chains consisting of alternating-sign optical vortices are nucleated near the corner of the wedge. The analysis shows that the sizes of the chains decrease quickly when approaching the wedge surface. This enables us to assume that the π -phase plate can create so-called optical quarks in the evanescent waves of the edge field. On the basis of theoretical considerations experiment was conducted in which were obtained fractions optical vortices at the edge of the phase wedge.
{"title":"Generation of fractional optical vortices at the edge of the phase wedge","authors":"A. Kovalyova, A. Markovsky, T. Fadeyeva, A. Rubass","doi":"10.1117/12.2052193","DOIUrl":"https://doi.org/10.1117/12.2052193","url":null,"abstract":"We have made a theoretical modeling of the evolution of a monochromatic Gaussian beam diffracted by the angle formed by three sides of the phase wedge different types. We have found that the edges of the phase wedge generate macroscopic chains of identical optical vortices that disappear at the far field zone. At the same time, the π -phase plate can reproduce a very complex wave field whose structure depends on the scale of observation. At large scales there appear two π -cuts resembling broken edge dislocations with perpendicular directions. At small (some microns) scales two short vortex chains consisting of alternating-sign optical vortices are nucleated near the corner of the wedge. The analysis shows that the sizes of the chains decrease quickly when approaching the wedge surface. This enables us to assume that the π -phase plate can create so-called optical quarks in the evanescent waves of the edge field. On the basis of theoretical considerations experiment was conducted in which were obtained fractions optical vortices at the edge of the phase wedge.","PeriodicalId":339550,"journal":{"name":"2013 IEEE 2nd International Workshop \"Nonlinear Photonics\" (NLP*2013)","volume":"258 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116419182","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2013-10-28DOI: 10.1109/NLP.2013.6646378
V. Yaparov, Ye A. Krasnoschekov, V. Taranenko
We show numerically the existence of robust two-component vector solitons in an unpolarized (polarization isotropic) bistable laser with transversely extended resonator. Four types of the laser vector solitons are found which have distinct spatial distribution of polarization states containing polarization topological defects, namely: points of circular polarizations (C-points) and lines of linear polarizations (L-lines). Morphology and dynamics of the polarization defects are analyzed.
{"title":"Vector laser solitons with rotating polarization topological defects","authors":"V. Yaparov, Ye A. Krasnoschekov, V. Taranenko","doi":"10.1109/NLP.2013.6646378","DOIUrl":"https://doi.org/10.1109/NLP.2013.6646378","url":null,"abstract":"We show numerically the existence of robust two-component vector solitons in an unpolarized (polarization isotropic) bistable laser with transversely extended resonator. Four types of the laser vector solitons are found which have distinct spatial distribution of polarization states containing polarization topological defects, namely: points of circular polarizations (C-points) and lines of linear polarizations (L-lines). Morphology and dynamics of the polarization defects are analyzed.","PeriodicalId":339550,"journal":{"name":"2013 IEEE 2nd International Workshop \"Nonlinear Photonics\" (NLP*2013)","volume":"77 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124104454","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2013-10-28DOI: 10.1109/NLP.2013.6646377
D. Leykam, S. Flach, Omri Bahat-Treidel, A. Desyatnikov
We explore the interplay between Anderson localization and Kerr nonlinearity in a lattice system containing intersecting flat and dispersive bands. The disordered system supports two distinct types of modes: high energy modes experience conventional Anderson localization. Low energy modes have a much shorter localization length, but are also highly sparse, consisting of multiple, well-separated peaks. Nonlinearity introduces different regimes of wavepacket spreading, determined by which types or modes are strongly coupled together. The spreading of localized excitations can either be massively enhanced, or suppressed, depending on the strength of nonlinearity.
{"title":"Anderson localization and nonlinearity in flat bands","authors":"D. Leykam, S. Flach, Omri Bahat-Treidel, A. Desyatnikov","doi":"10.1109/NLP.2013.6646377","DOIUrl":"https://doi.org/10.1109/NLP.2013.6646377","url":null,"abstract":"We explore the interplay between Anderson localization and Kerr nonlinearity in a lattice system containing intersecting flat and dispersive bands. The disordered system supports two distinct types of modes: high energy modes experience conventional Anderson localization. Low energy modes have a much shorter localization length, but are also highly sparse, consisting of multiple, well-separated peaks. Nonlinearity introduces different regimes of wavepacket spreading, determined by which types or modes are strongly coupled together. The spreading of localized excitations can either be massively enhanced, or suppressed, depending on the strength of nonlinearity.","PeriodicalId":339550,"journal":{"name":"2013 IEEE 2nd International Workshop \"Nonlinear Photonics\" (NLP*2013)","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124113352","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2013-10-28DOI: 10.1109/NLP.2013.6646384
A. Aceves, Aldo Auditore, M. Conforti, C. de Angelis
We report the existence of a new class of discrete localized modes in a model describing the propagation of optical waves in nonlinear binary waveguide arrays with alternate positive and negative nearest neighbor coupling. We derive a longwave continuous approximation and characterize some nonlinear continuum bright-dark soliton-like solutions and compared them with the discrete modes.
{"title":"Discrete localized modes in binary waveguide arrays","authors":"A. Aceves, Aldo Auditore, M. Conforti, C. de Angelis","doi":"10.1109/NLP.2013.6646384","DOIUrl":"https://doi.org/10.1109/NLP.2013.6646384","url":null,"abstract":"We report the existence of a new class of discrete localized modes in a model describing the propagation of optical waves in nonlinear binary waveguide arrays with alternate positive and negative nearest neighbor coupling. We derive a longwave continuous approximation and characterize some nonlinear continuum bright-dark soliton-like solutions and compared them with the discrete modes.","PeriodicalId":339550,"journal":{"name":"2013 IEEE 2nd International Workshop \"Nonlinear Photonics\" (NLP*2013)","volume":"94 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122397054","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2013-10-28DOI: 10.1109/NLP.2013.6646371
F. Maucher, E. Siminos, W. Krolikowski, S. Skupin
Quasiperiodic oscillations and transverse shape-transformations of higher-order bright solitons in nonlinear nonlocal media have been frequently observed in recent years, however, the origin of these phenomena was never completely elucidated. In this work, we perform a linear stability analysis of these higher-order solitons by solving the Bogoliubov-de Gennes equations numerically. This enables us to understand the emergence of a new oscillatory state as a growing unstable mode of a higher-order soliton. Using dynamically important states as a basis, we provide low-dimensional visualizations of the dynamics and identify quasiperiodic and homoclinic orbits, linking the latter to shape-transformations.
{"title":"Quasi-periodic shape-transformations of nonlocal higher-order solitons","authors":"F. Maucher, E. Siminos, W. Krolikowski, S. Skupin","doi":"10.1109/NLP.2013.6646371","DOIUrl":"https://doi.org/10.1109/NLP.2013.6646371","url":null,"abstract":"Quasiperiodic oscillations and transverse shape-transformations of higher-order bright solitons in nonlinear nonlocal media have been frequently observed in recent years, however, the origin of these phenomena was never completely elucidated. In this work, we perform a linear stability analysis of these higher-order solitons by solving the Bogoliubov-de Gennes equations numerically. This enables us to understand the emergence of a new oscillatory state as a growing unstable mode of a higher-order soliton. Using dynamically important states as a basis, we provide low-dimensional visualizations of the dynamics and identify quasiperiodic and homoclinic orbits, linking the latter to shape-transformations.","PeriodicalId":339550,"journal":{"name":"2013 IEEE 2nd International Workshop \"Nonlinear Photonics\" (NLP*2013)","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131719853","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2013-09-01DOI: 10.1109/NLP.2013.6646387
V. P. Yashchuk, E. Tikhonov, O. O. Komyshan, A. P. Smaliuk, L. Olkhovyk
We have discovered that Stokes lines of dye stimulated Raman scattering (SRS) in a multiple scattering media (MSM) appear in strict sequence: each line appears after occurrence of shorter wave one. Although outwardly this sequence is similar to the lines occurrence of plain SRS but its origin and mechanism is different. The main difference is that SRS in MSM is part of coupled process SRS and random lasing (RL) and therefore it is stimulated by RL. This difference causes specific characteristics of SRS in MSM. In contrast to plain SRS where sequentially appearing SRS lines correspond to consecutive Stokes component of the same molecule vibration, all SRS lines in dyed MSM correspond to first Stokes components of different bonds of dye molecule. Consecutive order of SRS lines appearing in MSM is caused not pumping of next SRS component by radiation of previous one but by RL spectrum spreading to the long wave direction under pump intensity.
{"title":"Specific appearing of stimulated Raman scattering in dyed multiple scattering media","authors":"V. P. Yashchuk, E. Tikhonov, O. O. Komyshan, A. P. Smaliuk, L. Olkhovyk","doi":"10.1109/NLP.2013.6646387","DOIUrl":"https://doi.org/10.1109/NLP.2013.6646387","url":null,"abstract":"We have discovered that Stokes lines of dye stimulated Raman scattering (SRS) in a multiple scattering media (MSM) appear in strict sequence: each line appears after occurrence of shorter wave one. Although outwardly this sequence is similar to the lines occurrence of plain SRS but its origin and mechanism is different. The main difference is that SRS in MSM is part of coupled process SRS and random lasing (RL) and therefore it is stimulated by RL. This difference causes specific characteristics of SRS in MSM. In contrast to plain SRS where sequentially appearing SRS lines correspond to consecutive Stokes component of the same molecule vibration, all SRS lines in dyed MSM correspond to first Stokes components of different bonds of dye molecule. Consecutive order of SRS lines appearing in MSM is caused not pumping of next SRS component by radiation of previous one but by RL spectrum spreading to the long wave direction under pump intensity.","PeriodicalId":339550,"journal":{"name":"2013 IEEE 2nd International Workshop \"Nonlinear Photonics\" (NLP*2013)","volume":"57 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117174556","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2013-09-01DOI: 10.1109/NLP.2013.6646380
S. Bugaychuk, S. Slussarenko, R. Kravchuk, O. Kolesnyk, V. Pinchuk, O. Yaroshchuk, A. Iljin
The photorefractive effect in homeotropically aligned layer of pure nematic liquid crystal 5CB is investigated by the dynamic holographic technique. It is found the voltage controlled energy transfer between two interacting waves. The efficiency of the energy transfer, its direction and time characteristics are investigated. A surface charge-dependent photorefractive effect as well as a bulk effect determined by the molecular interaction are discussed as two complementary mechanisms of the dynamical grating recording.
{"title":"Electrically controlled dynamics of energy transfer in pure nematic liquid crystals","authors":"S. Bugaychuk, S. Slussarenko, R. Kravchuk, O. Kolesnyk, V. Pinchuk, O. Yaroshchuk, A. Iljin","doi":"10.1109/NLP.2013.6646380","DOIUrl":"https://doi.org/10.1109/NLP.2013.6646380","url":null,"abstract":"The photorefractive effect in homeotropically aligned layer of pure nematic liquid crystal 5CB is investigated by the dynamic holographic technique. It is found the voltage controlled energy transfer between two interacting waves. The efficiency of the energy transfer, its direction and time characteristics are investigated. A surface charge-dependent photorefractive effect as well as a bulk effect determined by the molecular interaction are discussed as two complementary mechanisms of the dynamical grating recording.","PeriodicalId":339550,"journal":{"name":"2013 IEEE 2nd International Workshop \"Nonlinear Photonics\" (NLP*2013)","volume":"139 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134262495","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}