We apply quasi-exact numerical techniques to the calculation of stationary one- and two-dimensional, bound multipeaked cavity soliton solutions of a model describing a saturable absorber in a driven optical cavity. We calculate the existence and stability domains of a wide range of such states and determine the perturbative eigenmodes that cause loss of stability. We relate the existence of N-peaked states to the locking range between patterned and homogeneous solutions, as a function of two parameters.
|Number of pages||8|
|Journal||Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics|
|Publication status||Published - 2002|
- soliton solutions
Firth, W. J., McSloy, J. M., Harkness, G. K., & Oppo, G. L. (2002). Computationally determined existence and stability of transverse structures II: Multipeaked cavity solitons. Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics , 66(4), 046606-046614. https://doi.org/10.1103/PhysRevE.66.046606