Differential mode delay (DMD) modelling and measurements provide a means to characterise the modal structure of graded-index multimode fibres. In order to compute DMD output time pulses, we need to solve the modal propagation coefficients, modal group velocities and modal chromatic dispersion, compute the weighted modal amplitudes which are dependent on the excitation, and construct time pulses...

A method based on a statistical approach of estimating uncertainty in simulating the transport and dispersion of atmospheric pollutants is developed using observations and modeling results from a tracer experiment in the complex terrain of the southwestern USA. The method takes into account the compensating nature of the error components by representing all terms, except dispersion error and va...

( ) [ ] [ ] ( ) 1 2 0 0 1 0 0 1 2 0 1 1 0 2 n m n m a b a b a b x a b a b a b x a b x + = ⋅ + ⋅ + ⋅ + ⋅ + ⋅ + ⋅ + + ⋅ . The coefficient operations are performed using the operations for the field from which the coefficients were taken. • Such a collection of polynomials forms a commutative ring with identity. • Nonzero field elements are considered to be zero-degree polynomials. The zero elemen...

We demonstrate a new method to generate second-harmonic Talbot effect through degenerate Cherenkov radiation in one-dimension anomalous-dispersion-like nonlinear photonic crystals. In anomalous-dispersion-like medium, the degenerated nonlinear Cherenkov radiation can be achieved and is parallel to domain walls, of which the intensity is adjusted by the second-order nonlinear coefficient. In thi...

The apparent particle dispersion in a granular medium due to the combined effects of random granular arrangements and interstitial fluid flow was studied. The particle motion was a two-dimensional random walk on the transverse plane. The corresponding dispersion coefficient was found by sampling all possible trajectories with the aid of two granular media models. The theoretical results were ve...

A class of dissipative complex Ginzburg–Landau (DCGL) equations that govern the wave propagation in dissipative nonlinear transmission lines is solved exactly by means of the Hirota bilinear method. Two-soliton solutions of the DCGL equations, from which the one-soliton solutions are deduced, are obtained in analytical form. The modified Hirota method imposes some restrictions on the coefficien...

Using the numerical solution of the nonlinear Schrödinger equation and a variational method it is shown that (3+1)-dimensional spatiotemporal optical solitons can be stabilized by a rapidly oscillating dispersion coefficient in a Kerr medium with cubic nonlinearity. This has immediate consequence in generating dispersion-managed robust optical soliton in communication as well as possible stabil...

The present analysis deals with the dispersion characteristics of blood described as HerschelBulkley fluid in capillary with permeable walls for fluid and impermeable for the nanoparticles. The contribution of molecular and convective diffusion is recalled from the Taylor and Aris coefficient of diffusion. The effective longitudinal diffusion depends on three parameters namely rheological param...

We have studied niobium superconducting thin wires deposited onto a SrTiO3 substrate. By measuring the reflection coefficient of the wires, resonances are observed in the superconducting state in the 130 MHz to 4 GHz range. They are interpreted as standing wave resonances of one-dimensional plasma modes propagating along the superconducting wire. The experimental dispersion law, omega versus q,...

This paper explores how data generated by meter induction models may be recycled to quantify metrical ambiguity, which is calculated by measuring the dispersion of metrical induction strengths across a population of possible meters. A measure of dispersion commonly used in economics to measure income inequality, the Gini coefficient, is introduced for this purpose. The value of this metric as a...