The relationship between the inter-annual variability of precipitation and satellite derived Outgoing Long-wave Radiations (OLR) is studied over Pakistan during summer months for the period 1980-2007. Principal component analysis technique was applied in order to identify the major modes of oscillations present in the data series. The first four principal components explain 95% of the total var...

Chains of coupled square dielectric cavities are investigated in a 2-D setting, by means of a quasi-analytical eigenmode expansion method. Resonant transfer of optical power can be achieved along quite arbitrary, moderately long rectangular paths (up to 9 coupled cavities are considered), even with individual standing-wave resonators of limited quality. We introduce an ab-initio coupled mode mo...

We study eigenfrequencies and propagator expansions for damped wave equations on compact manifolds. Under the assumption of geometric control, the propagator is shown to admit an expansion in terms of finitely many eigenmodes near the real axis, with an error term exponentially decaying in time. In the presence of a nondegenerate elliptic closed geodesic not meeting the support of the damping c...