Numerical Simulation of 2-D Elliptic Dielectric Lens Employed for Improvement of Directivity of an Aperture Source

摘要

Numerical analysis of the effect of a 2-D electric lens on the directivity of an aperture light or microwave sources was performed. The lens is simulated by an elliptic dielectric cylinder. An algorithm is based on the concept of analytical regularization: the problem is reduced to the set of the first-kind integral Fredholm equations by representation of fields in the form of surface potentials along the scatterer contour. Using the analytic transformation of a part of the integral operator kernel that corresponds to the circular cylinder, this equation was transformed into the second-kind infinite matrix Fredholm equations being solved numerically with a ensured accuracy. Basic properties of the algorithm are studied. The paper presents the numerical results for an elliptic lens and an incident field in the form of a wave beam simulated by the complex source point (CSP) localized inside the lens.