Light propagation is analyzed in thermally expanded core (TEC) fibers with graded-index profile. Used as power mixers among others, their core structure at the boundary between the heated and non-heated regions is represented by linear taper. Ray optics is used as the transverse taper dimensions are large relative to the wavelength of propagating light. Trajectories of meridian rays are derived...

The average deformed fiber is a continuous and smooth function of the fourth order. deflection rotation beams can be determined by various methods available in literature. Thus, this paper, expression defined advance, then it considered an infinite sum sinusoidal functions that are successively evaluated using trigonometric series if periodic function, or Fourier non-periodic function. method e...

This paper presents a multicomponent sinusoidal model of speech signals, obtained through a rigorous mathematical formulation that ensures an asymptotically exact reconstruction of these nonstationary signals, despite the presence of transients, voiced segments, or unvoiced segments. This result has been obtained by means of the iterated use of the Hilbert transform, and the convergence propert...

The question of fit of harmonics to a sinusoidal model is important for quality coding of musical sounds. By characterizing phase relations among the harmonics, a separation of the harmonics into sinusoidal and non-sinusoidal parts is performed. Applying polyspectral analysis we show that sinusoidality is closely related to frequency but not to phase coupling. We present a bispectral algorithm ...

Abstract—The scattering of electromagnetic waves from a Frequency Selective Surfaces (FSSs) composed of a new oneand two-turn square spiral shaped periodic structures are investigated by using modal expansion method for a linearly polarized transverse electric (TE) and transverse magnetic (TM) incident waves. The Moment Method (MM) of Galerkin type is employed by expressing the current induced ...

We study an optimized numerical method for solving the forward problem of the two-dimensional Impedance Equation. Based upon elements of the modern Pseudoanalytic Function Theory, its performance is tested employing sinusoidal conductivity functions within the unit circle. Then a collection of experimental data are displayed for illustrating its effectiveness. The work closes with a brief discu...

BEl-rt's reciprocal theorem is used to determine the normal displacements due to a normal point force at the plane surface o fa generally-anisotropic half-space or a transversely-isotropic general elastic foundation, using a state of plane sinusoidal loading as auxiliary solution. The method is also extended to give a dual integral equation formulation of the axisymmetric contact problem for an...

Practical aspects of motion generation and control for parking a nonholonomic autonomous vehicle are considered. An iterative algorithm for the parallel parking maneuver is proposed. It is based on ultra-sonic range data processing. To control the steering angle and longitudinal velocity of the vehicle during the parking maneuver, sinusoidal reference functions are used. To prevent collisions, ...