A DOE to form a line-shaped directivity diagram

Abstract

Abstract Diffractive optical elements to form one-parameter directivity diagrams are designed using the geometric optics. The field ray structure corresponding to the line-shaped directivity diagram is analyzed and curvilinear coordinates for calculating the eikonal are proposed. A new simplified formula for the eikonal function in the curvilinear coordinates is derived. The calculation of the eikonal function is exemplified by the line-shaped and arc-shaped directivity diagram.