Display system including electronic device and screen

A display device comprising:

• a display;
• memory storing at least one instruction;
• and
• one or more processors communicatively coupled to the display and the memory,
• wherein the display includes a screen that is arranged in at least some areas of the display and includes a geometric phase layer and a retroreflection layer, the geometric phase layer refracts a light incident from a plurality of projectors included in an electronic device in different directions according to a polarization of the light and the retroreflection layer reflects light incident from the geometric phase layer in an opposite direction to an incident direction,
• wherein, based on the polarization of the light emitted from the plurality of projectors being a first polarization from among a right-circularly polarization and a left-circularly polarization, the emitted light is refracted in a first direction by the geometric phase layer, the light refracted in the first direction is reflected in an opposite direction to the first direction by the retroreflection layer, and the reflected light is refracted in a second direction toward a predetermined location corresponding to both eyes of a user by the geometric phase layer, and
• wherein, based on the polarization of the light emitted from the plurality of projectors being a second polarization, the emitted light is refracted in a third direction different from the first direction by the geometric phase layer, the light refracted in the third direction is reflected in an opposite direction to the third direction by the retroreflection layer, and the reflected light is refracted in a fourth direction different from the second direction by the geometric phase layer.