November 2012
Intermediate to advanced
456 pages
13h 58m
English
Content preview from Nematicons: Spatial Optical Solitons in Nematic Liquid CrystalsBecome an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
O’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.I’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.
Chapter 4: Soliton Families in Strongly Nonlocal Media
Department of Electronic and Information Engineering, Shunde Polytechnic, Guangdong Province, Shunde, China
Milivoj R. Beli
Science Program, Texas A&M University at Qatar, Doha, Qatar
4.1 Introduction
Spatial optical solitons are nondiffracting light beams propagating without change in nonlinear (NL)—and sometimes nonlocal—media. Spatial optical solitons in nematic liquid crystals (NLCs)—nematicons—can propagate unchanged for long distances because the strong nonlocal nonlinearity can saturate the change in the material refractive index; this makes them suitable for all optical applications. In this chapter, we theoretically address and numerically describe various spatial soliton families in such a medium.
Our analysis is based on the widely accepted model for the generation of spatial solitons in NLCs, which consists of scaled partial differential equations (PDEs) describing the scalar field of the director orientation angle θ and the paraxial wave equation for the envelope of the electric field. The equation for θ has the form
where τ is the director relaxation time, K is the Frank constant, 
is the transverse ...
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Read now
Unlock full access
More than 5,000 organizations count on O’Reilly
O’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.Julian F.
I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.Addison B.
I’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.Amir M.
I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.