On the Eigenvalues of the Manakov System

We clear up two issues regarding the eigenvalue problem for the Manakov system; these problems relate directly to the existence of the soliton effect in fiber optic cables. The first issue is a bound on the eigenvalues of the Manakov system. The second issue has to do with a chirped Manakov system. We show that if a system is chirped too much, the soliton effect disappears. While this has been known for some time experimentally, there has not yet been a theoretical result along these lines for the Manakov system.

Autorentext

Dr. Keister performed undergraduate studies in math, physics, computer science, and electrical engineering at Grove City College, PA, USA, and graduate work in mathematical physics at Virginia Tech, VA, USA, obtaing his Ph.D. in 2007. He currently works as an engineer at Infinity Fuel Cell and Hydrogen, Inc., CT, USA.