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Nonparaxial refraction and giant Goos-Hänchen shifts at nonlinear optical interfaces

McCoy, EA, Christian, JM and McDonald, GS 2012, Nonparaxial refraction and giant Goos-Hänchen shifts at nonlinear optical interfaces , in: Second Annual Student Conference on Complexity Science (SCCS 2012), 9th – 12th August 2012, University of Gloucestershire.

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The scattering of spatial optical solitons (self-localizing beams of laser light) at the interface between two dissimilar materials is a problem of fundamental importance in nonlinear photonics. Theoretical analyses must take into account a highly complex interplay between diffraction, self-lensing, finite beam waists, and discontinuities in both the linear and nonlinear properties of the host medium at the boundary. Over the past three decades, various research groups worldwide have resorted to simplified mathematical descriptions based on the universal nonlinear Schrödinger equation [A.B. Aceves et al., Phys. Rev. A vol. 39, 1809 (1989)]. Our approach deploys the nonlinear Helmholtz equation [J. Sánchez-Curto et al., Phys. Rev. A vol. 85, 013836 (2012)]. We have been able to relax the strong angular constraint that is inherent to essentially all previously-published works in this arena. More specifically, we can now solve the class of problem where beam angles of incidence, reflection, and refraction may be arbitrarily large. A compact law governing arbitrary-angle refraction will be discussed. Theoretical predictions are in excellent agreement with those obtained from exhaustive numerical simulations. Striking examples will also be given of Goos-Hänchen (GH) shifts (a phenomenon whereby, close to the critical angle of incidence, the reflected beam undergoes a displacement along the interface) [F. Goos and H. Hänchen, Ann. Phys. vol. 1, 333 (1947)]. Such shifts are an inherent property of beam-interface interactions, and they can be strongly enhanced in the presence of nonlinearity. We will report what we believe to be the largest GH shifts uncovered to date.

Item Type: Conference or Workshop Item (Paper)
Themes: Media, Digital Technology and the Creative Economy
Subjects outside of the University Themes
Schools: Schools > College of Science & Technology > School of Computing, Science and Engineering > Salford Innovation Research Centre (SIRC)
Publisher: Bristol Centre for Complexity Sciences
Refereed: Yes
Depositing User: JM Christian
Date Deposited: 16 Jul 2012 15:17
Last Modified: 29 Oct 2015 00:10

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