Modulational instability in photonic Lieb lattice: a graph Laplacian approach

G.P. Agrawal, Nonlinear Fiber Optics, 3rd edn. (Academic, San Diego, 2001)

Google Scholar 

Y.S. Kivshar, G.P. Agrawal, Optical Solitons: From fibers to photonic crystals (Academic Press, San Diego, 2003)

Google Scholar 

G.P. Agrawal, Modulation instability induced by cross-phase modulation. Phys. Rev. Lett. 59, 880 (1987)

Article  ADS  Google Scholar 

Xianqiong Zhong, Ke. Cheng, Modulation instability in metamaterials with fourth-order linear dispersion, second-order nonlinear dispersion, and three kinds of saturable nonlinearites. Optik 125(22), 6733–6738 (2014)

Article  ADS  Google Scholar 

Ancemma Joseph, K. Porseziana, P. Tchofo Dinda, Modulation instability scenario in negative index materials. J. Mod. Opt. 57(6), 436–443 (2010)

Article  ADS  Google Scholar 

S. Gnutzmann, U. Smilansky, S. Derevyanko, Stationary scattering from a nonlinear network. Phys. Rev. A 83, 033831 (2011)

Article  ADS  Google Scholar 

A.V. Milovanov, A. Iomin, Dynamical chaos in nonlinear Schrödinger models with subquadratic power nonlinearity. Phys. Rev. E 107, 034203 (2023)

Article  ADS  Google Scholar 

C. Benedetti, D. Tamascelli, M.G.A. Paris, A. Crespi, Quantum spatial search in two-dimensional waveguide arrays. Phys. Rev. Appl. 16, 054036 (2021)

Article  ADS  Google Scholar 

C. Cacciapuoti, D. Finco, D. Noja, Topology-induced bifurcations for the nonlinear Schrödinger equation on the tadpole graph. Phys. Rev. E 91, 013206 (2015)

Article  ADS  MathSciNet  Google Scholar 

A. K. Shafeeque. Ali, Andrei I. Maimistov, K. Porsezian, A. Govindarajan, M. Lakshmanan, Modulational instability in a non-Kerr photonic Lieb lattice with metamaterials. Phys. Rev. A 103, 013517 (2021)

Article  ADS  Google Scholar 

A.I. Maimistov, On the stability of flat-band modes in a rhombic nonlinear optical waveguide array. J. Opt. 19(4), 045502 (2017)

Article  ADS  MathSciNet  Google Scholar 

S.R. Rojas, L.M. Inostroza, R.A. Vicencio, A. Delgado, Quantum localized states in photonic flat-band lattices. Phys. Rev. A 96, 043803 (2017)

Article  ADS  Google Scholar 

J.G. Caputo, A. Knippe, E. Simo, Oscillations of networks: the role of soft nodes. J. Phys. A: Math. Theor. 46, 035101 (2013)

Article  ADS  MathSciNet  Google Scholar 

S. Mukherjee, R.R. Thomson, Observation of localized flat-band modes in a quasi-one-dimensional photonic rhombic lattice. Opt. Lett. 40(23), 5443–5446 (2015)

Article  ADS  Google Scholar 

N.M. Litchinitser, I.R. Gabitov, A.I. Maimistov, öOptical bistability in a nonlinear optical coupler with a negative index channel. Phys. Rev. Lett. 99, 113902 (2007)

Article  ADS  Google Scholar 

A.K. Shafeeque. Ali, K. Nithyanandan, K. Porsezian, P. Tchofo Dinda, Optical bistability and switching in oppositely directed coupler. IEEE J. Quantum Electron. 52(12), 6100508 (2016)

Google Scholar 

L. Zhang, Y. Xiang, X. Dai, S. Wen, Modulation instability in an array of positive- and negative-index waveguides. J. Opt. Soc. Am. B 31, 30293037 (2014)

Article  Google Scholar 

K. Porsezian, AK. Shafeeque. Ali, Andrei I. Maimistov, Modulation instability in two-dimensional waveguide arrays with alternating signs of refractive index. J. Opt. Soc. Am. B 35(8), 2057–2064 (2018)

Article  ADS  Google Scholar 

H.P. Zhu, Z.H. Pan, Stability of Gaussian-type light bullets in the cubic-quintic-septimal nonlinear media with different diffractions under PT-symmetric potentials. Nonlinear Dyn. 89, 1745–1752 (2017)

Article  MathSciNet  Google Scholar 

A.K Shafeeque. Ali, A. Govindarajan, M. Lakshmanan, Stabilization of light bullets in nonlinear metamaterial waveguides. Phys. Rev. A 105, 033516 (2022)

Article  ADS  MathSciNet  Google Scholar 

G.H. Derrick, Comments on nonlinear wave equations as models for elementary particles. J. Math. Phys. 5, 1252 (1964)

Article  ADS  MathSciNet  Google Scholar 

留言 (0)

沒有登入
gif