Spectroscopy of nonlinear band structures of one-dimensional photonic crystals

Abstract

The temporal development of extended nonlinear modes of a one-dimensional photonic crystal during the build-up of the nonlinearity is experimentally investigated. For this a prism coupling setup is used, which allows for a direct comparison of linear and nonlinear photonic band structures. The experimental results are compared with numerical calculations which make use of the Floquet-Bloch approach and the finite difference approximation.

Dark-bright gap solitons in coupled-mode one-dimensional saturable waveguide arrays

“…Our numerical computations show that, in absence of coupling between the modes, the bright soliton can be identified in the first gap for µ 1d + ν < µ b < µ 1d (i.e., µ b ∈ [0.6192,0.6755], and ν here as well as below denotes an appropriate shift), whereas bubble-type solutions also exist for µ 2u + ν < µ d < µ 2u (i.e., µ d ∈ [0.4618,0.5181]). Due to the nonlinear shift of the excited second band toward lower values of µ, the propagation constant of the bubble falls into the range of first gap of the linear band structure [43]. In turn, the dark soliton can be identified for lower values of the propagation constant, namely, for µ 3u + ν < µ d < µ 3u (i.e., µ d ∈ [0.3004,0.3567]).…”

Light-propagation management in coupled waveguide arrays: Quantitative experimental and theoretical assessment from band structures to functional patterns

“…In the third well-known "prism coupling" scheme implemented on waveguide arrays by Rüter and co-workers [20], [26] the whole array is excited by optical tunneling of a very wide external beam through an air gap between a prism and the waveguide array [ Fig. 2(c)].…”

Broadband phase retarder based on one-dimensional photonic crystal containing mu-negative materials

“…For one-dimensional (1D) periodic multilayer structures, although they do not possess complete PBGs, researchers still call them 1D PCs [3][4][5]. Based on the band structures of PCs, a variety of surprising electromagnetic properties and important potential applications ranging from novel waveguides to thresholdless laser cavities have been proposed [1][2][3][4][5][6]. In addition to the well-known intensity effects, it has also been shown that PCs have nontrivial effects on the phase of electromagnetic waves [7][8][9][10][11][12][13].…”

“…The disallowed bands of PCs are called photonic bandgaps (PBGs). For one-dimensional (1D) periodic multilayer structures, although they do not possess complete PBGs, researchers still call them 1D PCs [3][4][5]. Based on the band structures of PCs, a variety of surprising electromagnetic properties and important potential applications ranging from novel waveguides to thresholdless laser cavities have been proposed [1][2][3][4][5][6].…”