Nonlinear Bloch modes in two-dimensional photonic lattices.
Denis Träger,Robert Fischer,Dragomir N. Neshev,Andrey A. Sukhorukov,Cornelia Denz,Wieslaw Krolikowski,Yuri S. Kivshar +6 more
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TLDR
The local dispersion of the Bloch modes in the photonic lattice is probed by analyzing the linear diffraction of beams associated with the high-symmetry points of the Brillouin zone and the regimes of normal, anomalous, and anisotropic diffraction are distinguished through observations of nonlinear self-action effects.Abstract:
We generate experimentally different types of two-dimensional Bloch waves of a square photonic lattice by employing the phase imprinting technique.We probe the local dispersion of the Bloch modes in the photonic lattice by analyzing the linear diffraction of beams associated with the high-symmetry points of the Brillouin zone, and also distinguish the regimes of normal, anomalous, and anisotropic diffraction through observations of nonlinear self-action effects.read more
Citations
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Book ChapterDOI
Soliton Shape and Mobility Control in Optical Lattices
TL;DR: In this article, a progress overview focused on the recent theoretical and experimental advances in the area of soliton manipulation in optical lattices is presented, where the authors consider reconfigurable optically-induced lattices as well as waveguide arrays made in suitable nonlinear materials.
Journal ArticleDOI
Observation of two-dimensional surface solitons.
Xiaosheng Wang,Anna Bezryadina,Zhigang Chen,Zhigang Chen,Konstantinos G. Makris,Demetrios N. Christodoulides,George I. Stegeman +6 more
TL;DR: The first experimental observation of two-dimensional surface solitons at the boundaries (edges or corners) of a finite optically induced photonic lattice under single-site excitation conditions is reported.
Journal ArticleDOI
Solitary waves bifurcated from Bloch-band edges in two-dimensional periodic media.
Zuoqiang Shi,Jianke Yang +1 more
TL;DR: These envelope equations reveal that solitary waves can bifurcate from edges of Bloch bands under either focusing or defocusing nonlinearity, depending on the signs of the second-order dispersion coefficients at the edge points.
Journal ArticleDOI
Nonlinear spectrum reshaping and gap-soliton-train trapping in optically induced photonic structures.
TL;DR: The results suggest that, in nonlinear k-space evolution, energy can transfer not only between regions of normal and anomalous diffraction, but also from initially excited regions to initially unexcited regions.
Journal ArticleDOI
Observation of in-band lattice solitons.
TL;DR: It is shown that in-band (or embedded) lattice solitons bifurcate from Bloch modes at the interior high-symmetry X points within the first band, where normal and anomalous diffractions coexist along two orthogonal directions.
References
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Book
Photonic Crystals: Molding the Flow of Light
TL;DR: In this paper, the authors developed the theoretical tools of photonics using principles of linear algebra and symmetry, emphasizing analogies with traditional solid-state physics and quantum theory, and investigated the unique phenomena that take place within photonic crystals at defect sites and surfaces, from one to three dimensions.
Journal ArticleDOI
Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices
Jason W. Fleischer,Mordechai Segev,Mordechai Segev,Nikolaos K. Efremidis,Demetrios N. Christodoulides +4 more
TL;DR: This work uses optical induction, the interference of two or more plane waves in a photosensitive material, to create a 2D photonic lattice in which the solitons form, paving the way for the realization of a variety of nonlinear localization phenomena inPhotonic lattices and crystals.
Journal ArticleDOI
Discrete self-focusing in nonlinear arrays of coupled waveguides.
TL;DR: It is shown that a nonlinear array of coupled waveguides can exhibit discrete self-focusing that in the continuum approximation obeys the so-called nonlinear Schrödinger equation.
Journal ArticleDOI
Discrete solitons in photorefractive optically induced photonic lattices
Nikos K. Efremidis,Suzanne Sears,Demetrios N. Christodoulides,Jason W. Fleischer,Jason W. Fleischer,Mordechai Segev,Mordechai Segev +6 more
TL;DR: It is demonstrated that optical discrete solitons are possible in appropriately oriented biased photorefractive crystals in optically induced periodic waveguide lattices that are created via plane-wave interference and paves the way towards the observation of entirely new families of discretesolitons.
Journal ArticleDOI
Gap solitons and the nonlinear optical response of superlattices.
Wei Chen,D. L. Mills +1 more
TL;DR: The transmission of radiation through superlattices of finite length, where the dielectric constant of one film in each unit cell contains a term linear in the local field intensity, is studied.