Bifurcation of gap solitons through catastrophe theory

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Bifurcation of gap solitons through catastrophe theory.

In the theory of optical gap solitons, slowly-moving finite-amplitude Lorentzian solutions are found to mediate the transition from bright to coexistent dark-antidark solitary wave pairs when the laser frequency is detuned out of the proper edge of a dynamical photonic band gap. Catastrophe theory is applied to give a geometrical description of this strongly asymmetrical "morphing" process.

متن کامل

Perturbation theory for gap solitons

The system of coupled nonlinear evolution equations describing gap solitons is shown to be approximately equivalent in the neighborhood of the soliton solution to the massive Thirring model. The equivalence is then used for construction of the perturbation theory for gap solitons based on the RiemannHilbert problem. The value of deviation of the initial condition from the gap soliton shape serv...

متن کامل

Observation of a gradient catastrophe generating solitons.

We investigate the propagation of a dark beam in a defocusing medium in the strong nonlinear regime. We observe for the first time a shock fan filled with noninteracting one-dimensional gray solitons that emanates from a gradient catastrophe developing around a null of the optical intensity. This scenario turns out to be very robust, persisting also when the material nonlocal response averages ...

متن کامل

Surface superlattice gap solitons.

We demonstrate that specific surface superlattice gap solitons can be supported at an interface between a one-dimensional photonic superlattice and a uniform medium with saturable nonlinearity. The solitons are stable in the semi-infinite gap but do not exist in the first gap. With the decrease of the power, the solitons jump from the surface site to the next one, and they may continue the moti...

متن کامل

Surface gap solitons.

We put forward the existence of surface gap solitons at the interface between uniform media and an optical lattice with defocusing nonlinearity. Such new type of solitons forms when the incident and reflected waves at the interface of the lattice experience Bragg scattering, and feature a combination of the unique properties of both surface waves and gap solitons. We discover that gap surface s...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Physical Review E

سال: 2001

ISSN: 1063-651X,1095-3787

DOI: 10.1103/physreve.64.036617