Title :
Nonlinear hofstadter butterfly and its optical realization
Author :
Manela, Ofer ; Segev, Mordechai ; Christodoulides, Demetrios N.
Author_Institution :
Solid State Inst., Dept. of Phys., Technion, Haifa
Abstract :
We study the extended modes of a nonlinear quasi-periodic system and show that the nonlinear spectra are deformed versions of the Hofstadter butterfly. An optical realization of the Hofstadter butterfly is proposed.
Keywords :
nonlinear optics; nonlinear Hofstadter butterfly; nonlinear quasiperiodic system; nonlinear spectra; optical realization; Eigenvalues and eigenfunctions; Fractals; Holographic optical components; Holography; Nonlinear equations; Nonlinear optics; Optical solitons; Optical waveguides; Propagation constant; Schrodinger equation; (190.4420) Nonlinear optics, transverse effects in; (190.5940) Self-action effects;
Conference_Titel :
Lasers and Electro-Optics, 2008 and 2008 Conference on Quantum Electronics and Laser Science. CLEO/QELS 2008. Conference on
Conference_Location :
San Jose, CA
Print_ISBN :
978-1-55752-859-9
