ABSTRACT
This work addresses the problem of weakly non linear ocean waves propagation in intermediate waters. We have shown that the propagation of waves similar to hole solitons, as well as progressive waves of high intensity multipeaks are likely to occur in this non linear regime. In addition, we note that along intermediate waters, these particular non-linear waves satisfy a wave equation model similar to Korteweg de Vries equation, and their propagation features strongly depend on the initial conditions adopted to the present problem.
ABSTRACT
An extension of the problem of a moderately focused Gaussian beam scattered by an arrangement of two parallel nonabsorbing dielectric cylinders of arbitrary refraction indexes and radii is developed. The feature introduced in the present solution is the relative angular position coordinate between the two cylinders (phi(0)) as a degree of freedom. Explicit dependence on this variable of scattering coefficients, beam shape coefficient, and extinction efficiency is given. Together with the displacement coordinate d, various other scattering configurations can be studied. The applicability of the solution is given in the form of extinction curves taking phi(0) as the main parameter for variation. The model is proposed as a means of investigating evanescent wave microscopy.
