Metastable states in stochastic systems are often characterized by the presence of small eigenvalues generator dynamics. We here show that metastability many-body is not necessarily associated with eigenvalues. Instead, explosion eigenmode expansion coefficients characterizes slow relaxation, which demonstrated for two models, interacting particles a double-well potential and Fredrickson-Anders...

We propose a practical realization of electromagnetic spherical cloaking by layered structure of homogeneous isotropic materials. By mimicking the classic anisotropic cloak by many alternating thin layers of isotropic dielectrics, the permittivity and permeability in each isotropic layer can be properly determined by effective medium theory in order to achieve invisibility. The model greatly fa...

In this paper we model second-harmonic generation in a microphotonic structure using two different numerical methods. The proposed two-dimensional waveguide device is challenging as it incorporates a high-contrast grating, which instigates strong local enhancement but also radiation losses. The first simulation method extends the time-domain beam propagation method, whereas the second one build...