We develop an intuitive approach for studying propagation of optical pulses through nonlinear dispersive media. Our new approach is based on the impulse response of linear systems, but we extend the impulse response function using a self-consistent time-transformation approach so that it can be applied to nonlinear media as well. Numerical calculations based on our new approach show excellent a...

Ž . Propagation of a pulsed optical beam a train of ultrashort optical pulses inside a linear dispersive medium is studied in the far field without making the paraxial approximation. This approach permits us to obtain analytical results that are valid for relatively large diffraction angles. Pulse characteristics are found to be affected considerably by the combination of diffraction and disper...

In this paper we analyze the problem of optimal waveform design for syntheticaperture radar (SAR) imaging through a dispersive medium. We use a scalar model for wave propagation, together with the single-scattering approximation, and we assume that measurements are polluted with thermal noise whose statistics are known. For image formation, we use a filtered backprojection algorithm in which th...

The applied method of slowly varying amplitudes gives us the possibility to reduce the nonlinear vector integrodifferential wave equation of the electrical and magnetic vector fields to the amplitude vector nonlinear differential equations. Using this approximation, different orders of dispersion of the linear and nonlinear susceptibility can be estimated. Critical values of parameters to obser...

Nonlinear wave motion in dispersive media is solved numerically. The model applies to laser propagation in a relativistic plasma. The latter causes, besides dispersion, nonlinear effects due to relativistic mass variation in the presence of strong laser pulses. A new variant of the Gautschi–type integrator for reducing the number of time steps is proposed as a fast solver for such nonlinear wav...

Refocusing for time reversed waves propagating in disordered media has recently been observed experimentally and studied mathematically. This surprising effect has a great potential of applications in domains such as medical imaging, underwater acoustics, wireless communications among others. Time refocusing for one-dimensional acoustic waves is now mathematically well understood. In this paper...

We report on the direct visualization of a femtosecond pulse propagating through a dispersive waveguide at a telecom wavelength. The position of a propagating pulse is pinpointed at a particular point in space and time using a scanning probe based measurement. The actual propagation of the pulse is visualized by changing the reference time. Our phase-sensitive and time-resolved measurement prov...

Astract ---New implementation of scattered field FDTD formulations of dispersive material are employed yielding accurate and mathematically compact procedures. This work is based on the application of the Z-transform on the Debye model representing the dispersion in conjunction with the relation between the electric field and the displacement current. The result is an approximate frequency doma...

We derive the instantaneous densities of electric energy and electric power dissipation in lossless and lossy dispersive media for a time-harmonic electric field. The instantaneous quantities are decomposed into DC and AC components, some of which are shown to be independent of the dispersion of dielectric constants. The AC component of the instantaneous energy density can be used to visualize ...

We introduce a mechanism to stabilize spatiotemporal solitons in Kerr nonlinear media, based on the dispersion of linear coupling between the field components forming the soliton states. Specifically, we consider solitons in a two-core guiding structure with inter-core coupling dispersion (CD). We show that CD profoundly affects properties of the solitons, causing the complete stabilization of ...