Time-spatial drift of decelerating electromagnetic pulses.

A time dependent electromagnetic pulse generated by a current running laterally to the direction of the pulse propagation is considered in paraxial approximation. It is shown that the pulse envelope moves in the time-spatial coordinates on the surface of a parabolic cylinder for the Airy pulse and a hyperbolic cylinder for the Gaussian. These pulses propagate in time with deceleration along the dominant propagation direction and drift uniformly in the lateral direction.

Modeling of transient dynamics in two-dimensional circular microresonators using the pulsed complex source point beam concept.

An analytical method for transient dynamics description in microresonators is used to characterize and visualize the transient effects. In the frame of this method, the pulsed complex source point concept is used to simulate an incident transient beam. The excited fields in the microcavity are described by means of a rigorous mathematical approach that is based on the analytical solution in the Laplace transform domain and accurate evaluation of residues at singular points corresponding to the excited modes.

Rigorous analysis of whispering gallery mode frequency conversion because of time variation of refractive index in a spherical resonator.

We investigate theoretically the switching effects for the whispering gallery modes in a spherical dielectric resonator when its material is subject to abrupt time change in permittivity. A rigorous analytical approach is used to study the transformation process. Details of both the transient response and the steady-state regime are described.