FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2086496557> ?p ?o ?g. }

• W2086496557 abstract "Summary form only given. In their most general form, wave-interface problems are inherently angular in nature. For instance, the interaction between light waves and material boundaries essentially defines the entire field of optics. The seminal works of Aceves et al. [1,2] considered scalar bright spatial solitons impinging on the planar interface between two Kerr-type media with different χ <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>(3)</sup> susceptibilities. While these classic nonlinear Schrödinger models undeniably paved the way toward understanding how self-collimated light beams behave at material discontinuities, they suffer from a fundamental limitation: the assumption of slowly-varying wave envelopes means that, in the laboratory frame, angles of incidence, reflection and refraction (relative to the interface) must be near-negligibly small. This intrinsic angular restriction may be eliminated by adopting a mathematical and computational framework based on the solution of nonlinear Helmholtz equations. To date, we have considered bright [3] and dark [4] soliton refraction in dissimilar focusing and de focusing τ materials, respectively.In this presentation, we give the first detailed overview of beam refraction at the interface between materials whose nonlinear polarization has contributions from both χ(3) and χ(5) susceptibilities [5]. The governing equation is of the inhomogeneous Helmholtz class with a cubic-quintic nonlinearity, and analysis is facilitated through the exact bright soliton solutions of the corresponding homogeneous problem [6]. By respecting field continuity conditions at the interface, a universal Snell's law may be derived for describing the refractive properties of soliton beams. This compact nonparaxial law contains a supplementary multiplicative factor that captures the interplay between system nonlinearity, discontinuities in material properties, and finite beam waists. Extensive numerical calculations have tested analytical predictions, providing strong supporting evidence for the validity of our modelling approach across wide regions of a six-dimensional parameter space. Our Snell's law also provides theoretical predictions for critical angles that are in generally good agreement with full simulations of beams at linear and weakly-nonlinear interfaces. We have quantified Goos-Hänchen shifts [7] at such interfaces (see Fig. 1). Of particular interest are regimes involving external linear refraction [8], since these physical contexts have no counterpart in conventional (Schrödinger-based) theory [1]. For strongly nonlinear interfaces, new and potentially exploitable qualitative phenomena can emerge." @default.
• W2086496557 created "2016-06-24" @default.
• W2086496557 creator A5013855431 @default.
• W2086496557 creator A5023880539 @default.
• W2086496557 creator A5027749509 @default.
• W2086496557 creator A5047970555 @default.
• W2086496557 creator A5080824340 @default.
• W2086496557 date "2013-05-01" @default.
• W2086496557 modified "2023-09-26" @default.
• W2086496557 title "Nonparaxial soliton refraction at optical interfaces with &#x03C7;⁽³⁾ and &#x03C7;⁽⁵⁾ susceptibilities" @default.
• W2086496557 cites W1518942852 @default.
• W2086496557 cites W2000685983 @default.
• W2086496557 cites W2003244058 @default.
• W2086496557 cites W2005701305 @default.
• W2086496557 cites W2042230104 @default.
• W2086496557 cites W2057820684 @default.
• W2086496557 cites W2066843750 @default.
• W2086496557 cites W2080794020 @default.
• W2086496557 doi "https://doi.org/10.1109/cleoe-iqec.2013.6801781" @default.
• W2086496557 hasPublicationYear "2013" @default.
• W2086496557 type Work @default.
• W2086496557 sameAs 2086496557 @default.
• W2086496557 citedByCount "0" @default.
• W2086496557 crossrefType "proceedings-article" @default.
• W2086496557 hasAuthorship W2086496557A5013855431 @default.
• W2086496557 hasAuthorship W2086496557A5023880539 @default.
• W2086496557 hasAuthorship W2086496557A5027749509 @default.
• W2086496557 hasAuthorship W2086496557A5047970555 @default.
• W2086496557 hasAuthorship W2086496557A5080824340 @default.
• W2086496557 hasConcept C110521144 @default.
• W2086496557 hasConcept C120665830 @default.
• W2086496557 hasConcept C121332964 @default.
• W2086496557 hasConcept C134306372 @default.
• W2086496557 hasConcept C147789679 @default.
• W2086496557 hasConcept C15627037 @default.
• W2086496557 hasConcept C158622935 @default.
• W2086496557 hasConcept C182310444 @default.
• W2086496557 hasConcept C185592680 @default.
• W2086496557 hasConcept C18591234 @default.
• W2086496557 hasConcept C202444582 @default.
• W2086496557 hasConcept C205049153 @default.
• W2086496557 hasConcept C205318122 @default.
• W2086496557 hasConcept C27592594 @default.
• W2086496557 hasConcept C33923547 @default.
• W2086496557 hasConcept C62520636 @default.
• W2086496557 hasConcept C74650414 @default.
• W2086496557 hasConcept C87651913 @default.
• W2086496557 hasConcept C90081545 @default.
• W2086496557 hasConcept C9652623 @default.
• W2086496557 hasConceptScore W2086496557C110521144 @default.
• W2086496557 hasConceptScore W2086496557C120665830 @default.
• W2086496557 hasConceptScore W2086496557C121332964 @default.
• W2086496557 hasConceptScore W2086496557C134306372 @default.
• W2086496557 hasConceptScore W2086496557C147789679 @default.
• W2086496557 hasConceptScore W2086496557C15627037 @default.
• W2086496557 hasConceptScore W2086496557C158622935 @default.
• W2086496557 hasConceptScore W2086496557C182310444 @default.
• W2086496557 hasConceptScore W2086496557C185592680 @default.
• W2086496557 hasConceptScore W2086496557C18591234 @default.
• W2086496557 hasConceptScore W2086496557C202444582 @default.
• W2086496557 hasConceptScore W2086496557C205049153 @default.
• W2086496557 hasConceptScore W2086496557C205318122 @default.
• W2086496557 hasConceptScore W2086496557C27592594 @default.
• W2086496557 hasConceptScore W2086496557C33923547 @default.
• W2086496557 hasConceptScore W2086496557C62520636 @default.
• W2086496557 hasConceptScore W2086496557C74650414 @default.
• W2086496557 hasConceptScore W2086496557C87651913 @default.
• W2086496557 hasConceptScore W2086496557C90081545 @default.
• W2086496557 hasConceptScore W2086496557C9652623 @default.
• W2086496557 hasLocation W20864965571 @default.
• W2086496557 hasOpenAccess W2086496557 @default.
• W2086496557 hasPrimaryLocation W20864965571 @default.
• W2086496557 hasRelatedWork W1512204450 @default.
• W2086496557 hasRelatedWork W1518942852 @default.
• W2086496557 hasRelatedWork W1577657277 @default.
• W2086496557 hasRelatedWork W1870221774 @default.
• W2086496557 hasRelatedWork W1976998256 @default.
• W2086496557 hasRelatedWork W1986234875 @default.
• W2086496557 hasRelatedWork W1988074254 @default.
• W2086496557 hasRelatedWork W1989770589 @default.
• W2086496557 hasRelatedWork W2090409157 @default.
• W2086496557 hasRelatedWork W2096144204 @default.
• W2086496557 hasRelatedWork W2104563113 @default.
• W2086496557 hasRelatedWork W2141141244 @default.
• W2086496557 hasRelatedWork W2158807888 @default.
• W2086496557 hasRelatedWork W2159602724 @default.
• W2086496557 hasRelatedWork W2330307873 @default.
• W2086496557 hasRelatedWork W2994482567 @default.
• W2086496557 hasRelatedWork W3100463339 @default.
• W2086496557 hasRelatedWork W3102023475 @default.
• W2086496557 hasRelatedWork W3158292818 @default.
• W2086496557 hasRelatedWork W839426111 @default.
• W2086496557 isParatext "false" @default.
• W2086496557 isRetracted "false" @default.
• W2086496557 magId "2086496557" @default.
• W2086496557 workType "article" @default.