Abstract: An optical device includes a membrane. The membrane includes a plurality of apertures extending at least partially through a thickness of the membrane. The membrane is configured to structure incoming light having a wavelength to produce modified light. The wavelength of the incoming light in vacuum is in a range of ultraviolet light and mid-infrared. The membrane is configured to reflect the modified light away from the membrane or transmit the modified light through the membrane. A separation between each of the plurality of apertures is subwavelength relative to the wavelength of the incoming light. A width of each of the plurality of apertures is subwavelength relative to the wavelength of the incoming light. A length of each of the plurality of apertures is wavelength-scale relative to the wavelength of the incoming light.

Abstract: Disclosed is a method of generating a functional singularity at a point or collection of points. The method may include determining a relationship between one or more parameters associated with a physical structure and a spatial gradient of field values of at least one of electromagnetic energy, sound energy, particle beam, or water waves manipulated by the physical structure, configuring, according to the relationship, the spatial gradient of field values to represent a functional singularity at a point, performing backpropagation using the spatial gradient of field values to obtain design parameters corresponding to values for the one or more parameters that achieve the functional singularity at the point, and producing a physical structure having the design parameters.

Abstract: An optical device includes a membrane. The membrane includes a plurality of apertures extending at least partially through a thickness of the membrane. The membrane is configured to structure incoming light having a wavelength to produce modified light. The wavelength of the incoming light in vacuum is in a range of ultraviolet light and mid-infrared. The membrane is configured to reflect the modified light away from the membrane or transmit the modified light through the membrane. A separation between each of the plurality of apertures is subwavelength relative to the wavelength of the incoming light. A width of each of the plurality of apertures is subwavelength relative to the wavelength of the incoming light. A length of each of the plurality of apertures is wavelength-scale relative to the wavelength of the incoming light.