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- W2189167946 abstract "Thedynamics ofelectromagnetic fields inphotonic crystal wavegudes pumped fromthe topisstudied using acoupled modeapproximation. Thestability ofthespatially uniform state and theformation ofdissipative solitons areinvestigated. ©2005 Optical Society ofAmerica OCISCodes: (190.4420) Nonlinear optics, transverse effects in; (190.5530) Pulse propagation andsolitons Recently theformation ofbright anddarkdissipative discrete solitons wasinvestigated using amodelinvolving interacting optical resonators (1). Another system where similar phenomena canbeobserved isaperiodically corru- gated planar waveguide (2). Inthis casethemodel ofcoupled oscillators isreplaced byamodel ofcoupled modes. The system weconsider hereisaplanar dielectric waveguide withperiodically corrugated bottom andtopsurfaces. This waveguide isirradiated fromthetopbyanintense coherent laser beam.Weassume that thematerial ofthewaveguide hasKerr nonlinearity. Assuming that both gratings areweakwecanconsider themasperturbations anddevelop acoupled modeapproach fortheone-dimensional case. Asimilar model wasusedforexample todescribe awaveguide withmetal nanoparticles deposited onitsupper surface (3). Inourcasewelookforthefield inthewaveguide intheformofleaky waves bouncing between theinterfaces andtwocounter propagating guided modes. Thegratings provide efficient resonant coupling between these waves.Inparticular thefirst grating canbeusedtocouple theincident wavetotheguided modes. Thesecond grating isusedtoprovide aphotonic bandgapinthedispersion oftheguided modes, sothat we canresonantly pumpthemodewith zeroorverysmall energy flow. Starting fromMaxwell's equations wederive equations fortheamplitudes ofthecounter propagating guided modes: (iat +iLx +iF+ (A+12 +21A_ 12) A++ A- Ieiqx-i6t" @default.
- W2189167946 created "2016-06-24" @default.
- W2189167946 creator A5044211181 @default.
- W2189167946 date "2005-01-01" @default.
- W2189167946 modified "2023-09-27" @default.
- W2189167946 title "Dissipative Braggsolitons inthin film waveguides" @default.
- W2189167946 hasPublicationYear "2005" @default.
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