Modeling of a converging gradient-index lens with variable focal length in a lanthanum-modified lead zirconate titanate ceramic cylinder with a lateral multielectrode structure

摘要

A mathematical model is presented to characterize the performance of a lanthanum-modified lei zirconate titanate electro-optical cylindrical structure with an arbitrary number N of lateral electrodes switched with a series of voltages V↓(o) and V↓(o) + △V. The method yields a solution that can be written as a sum of numerical and analytical components, and the contribution of numerical component8 becomes increasingly smaller as the electrode wrapping angle is decreasing below π/3N. The effects d electrode wrapping angle and the switching voltages on the induced refractive-index distribution and electrode capacitance are analyzed. It is shown that the design offers a simple and compact that performs dynamic light diverging with a focal length that can be controlled by the applied voltage. The possibility of light steering is considered for a two-electrode structure. #1998 Optical Society of America OCIS codes: 060.2280, 060.2350, 110.2760, 120.3620, 130.3120, 160.2100.