Nonlinear interaction of optical beams in gradient waveguides

Anna K. Sukhorukova; Anatoly P. Sukhorukov

doi:10.1117/12.854754

7 June 2010 Nonlinear interaction of optical beams in gradient waveguides

Anna K. Sukhorukova, Anatoly P. Sukhorukov

Proceedings Volume 7728, Nonlinear Optics and Applications IV; 77281D (2010) https://doi.org/10.1117/12.854754
Event: SPIE Photonics Europe, 2010, Brussels, Belgium

Abstract

We investigate the interaction of two optical beams at different frequencies in an optical gradient waveguide. The index has a parabolic profile, and the nonlinearity belongs to a defocusing type. The total reflection of a tilted signal beam from a negative inhomogeneity induced by pump-beam occurs while both beams are trapped in the refractive index trough is considered. We derive the equation for the rays, taking into account cubic nonlinearity and transverse inhomogeneity. Trajectories of the signal beam at different ratios of the values of the nonlinearity, heterogeneity and the initial angle of inclination are plotted. The critical angle of total reflection in a gradient waveguide with negative nonlinearity is found. The interaction of co-axis beams is also discussed. The waveguiding propagation of a pump beam under the balance between defocusing with negative nonlinearity and focusing with parabolic inhomogeneity is presented. The wide signal beam can split by narrow pump beam.

Citation Download Citation

Anna K. Sukhorukova and Anatoly P. Sukhorukov "Nonlinear interaction of optical beams in gradient waveguides", Proc. SPIE 7728, Nonlinear Optics and Applications IV, 77281D (7 June 2010); https://doi.org/10.1117/12.854754

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