Nonlinear lattice model for self-localized waveguides in nonlinear photonic crystals

Guy Van der Sande; Björn Maes; Peter Bienstman; Jan Danckaert; Roel Baets; Irina Veretennicoff

doi:10.1117/12.623032

5 October 2005 Nonlinear lattice model for self-localized waveguides in nonlinear photonic crystals

Guy Van der Sande, Björn Maes, Peter Bienstman, Jan Danckaert, Roel Baets, Irina Veretennicoff

Proceedings Volume 5949, Nonlinear Optics Applications; 59490M (2005) https://doi.org/10.1117/12.623032
Event: Congress on Optics and Optoelectronics, 2005, Warsaw, Poland

Abstract

The combination of photonic crystals and nonlinearities is the subject of intense research. Because of the strong dispersion and localization effects in band gap structures, even weak nonlinearities can be exploited. The inclusion of the Kerr effect gives rise to nonlinear energy localization. In combination with the discrete nature of the photonic crystals this may lead to nonlinear modes, such as gap solitons or discrete breathers. We examine a novel kind of solitary wave. The used geometry is a photonic crystal formed by a square lattice of rods containing a Kerr type material: in the linear case a wave with frequency within the band gap is exponentially dampened. However, in the nonlinear regime, the wave creates its own waveguide channel, by changing the indices of the center rods. In the transversal direction with respect to the propagation, the mode is still confined. By applying a Green's function method limited to a photonic crystal strip perpendicular to the propagation direction, we have been able to describe these Bloch modes. To that end, we review a nonlinear lattice model that includes the long-range rod-to-rod interaction between the scattered fields and the non-local nonlinear response of the photonic crystal. The advantages of this semi- analytical approach are discussed and a comparison with a rigorous numerical analysis is given.

Citation Download Citation

Guy Van der Sande, Björn Maes, Peter Bienstman, Jan Danckaert, Roel Baets, and Irina Veretennicoff "Nonlinear lattice model for self-localized waveguides in nonlinear photonic crystals", Proc. SPIE 5949, Nonlinear Optics Applications, 59490M (5 October 2005); https://doi.org/10.1117/12.623032

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
8 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Photonic crystals

Waveguides

Wave propagation

Solitons

Dielectrics

Refractive index

Kerr effect

Show All Keywords

Keywords/Phrases

Search In:

Publication Years