The Casimir surface force density F on a dielectric dilute spherical ball of radius a, surrounded by a vacuum, is calculated at zero temperature. We treat (n − 1) (n being the refractive index) as a small parameter. The dispersive properties of the material are taken into account by adopting a simple dispersion relation, involving a sharp high frequency cutoff at ω = ω0. For a nondispersive med...

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...

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...

This work aims at introducing some energy operators linked to the Teager-Kaiser energy operator and expands it from time to space in the real domain. We then show the decomposition of the functions of space and time differentiable at least twice in R using those energy operators. The second part of the work focuses on using the energy operators to redefine the general wave equation. The method ...

Surface plasmon resonance (SPR) sensing is an optical technique that allows real time detection of small changes in the physical properties, in particular in the refractive index, of a dielectric medium near a metal film surface. One way to increase the SPR signal shift is then to incorporate a substance possessing a strong dispersive refractive index in the range of the plasmon resonance band....

We present a numerical investigation of the propagation dynamics truncated Airy pulse in highly dispersive and nonlinear medium by employing split-step Fourier transform method look, particular, into effects fourth-order dispersion (FOD) cubic-quintic-septic nonlinearity on evolution. Presence FOD cancels pulse’s self-acceleration along with eclipsing oscillatory tail during linear regime. Furt...

Optical rotation sensors based on some highly dispersive resonating structures are expected to be highly sensitive. An example is the coupled-resonator-induced transparency based rotation sensor, which is analyzed to be highly sensitive and promising to be made in a compact size. We also propose an idea of combining highly dispersive medium and resonator structure together to further increase t...

Dispersive optical interference coatings (chirped mirrors - CMs) are designed by computer optimization of an analytically calculated initial multilayer. Traditionally, the relevant properties of the CM (reflectance and the frequency-dependence of the phase shift upon reflection) are optimized to match frequency-domain targets. We propose a novel target function that quantifies directly the capa...