Multilayer metalens

A method for forming a multilayer metalens, the method comprising:

• providing a substrate having first (x), second (y), and third (z) axes that are perpendicular to each other;
• arranging, relative to the third axis (z), a first layer of antennas on the substrate, wherein a longitudinal first axis of each antenna of the first layer of antennas is rotated relative to the first (x) and second (y) axes based on a position of each antenna of the first layer of antennas along the first (x) and second (y) axes;
• and arranging, relative to the third axis (z), a second layer of antennas on the first layer of antennas, wherein a longitudinal second axis of each antenna of the second layer of antennas is rotated relative to first (x) and second (y) axes based on a position of each antenna of the second layer of antennas along the first (x) and second (y) axes, wherein each antenna in the first and second layers of antennas has, in a plane parallel to a top of the substrate, an elongated shape, and wherein the longitudinal first axis of each antenna in the first layer of antennas has a different rotation relative to the first (x) and second (y) axes than the longitudinal second axis of an antenna in the second layer of antennas that is located, relative to the third axis (z), adjacent to the respective antenna in the first layer of antennas.

A method of focusing light at two different focal points, the method comprising:

• passing light through a substrate having first (x), second (y), and third (z) axes that are perpendicular to each other;
• passing the light through first and second layers of antennas;
• and focusing the light exiting the second layer of antennas at the two different focal points (F1, F2), wherein each antenna of the first and second layers of antennas has a position-dependent rotation angle (θ1, θ2) based on the two different focal points (F1, F2), each antenna in the first layer of antennas has a different rotation angle than an antenna in the second layer of antennas that is located, relative to the third axis (z), adjacent to the respective antenna in the first layer of antennas, and each antenna of the first and second layers of antennas has an elongated shape in a plane defined by the first (x) and second (y) axes.