Abstract: Three or more base optical materials are selectively combined into a trans-gradient index (GRIN) optical element (e.g., a lens). A wavelength-dependent index of refraction for light propagating perpendicular to the three or more optical materials equals: a volume fraction of a first optical material multiplied by a refractive index of the first optical material, plus a volume fraction of a second optical material multiplied by a refractive index of the second optical material, plus one minus the volume fraction of the first optical material and the volume of the second optical material all multiplied by the refractive index of a third optical material. The wavelength-dependent index of refraction distribution and a refractive index dispersion through the GRIN optical element may be independently specified from one another. A local refractive index at any point in the optical element is a fixed function of a refractive index of each individual optical material.

Abstract: Three or more base optical materials are selectively combined into a trans-gradient index (GRIN) optical element (e.g., a lens). A wavelength-dependent index of refraction for light propagating perpendicular to the three or more optical materials equals: a volume fraction of a first optical material multiplied by a refractive index of the first optical material, plus a volume fraction of a second optical material multiplied by a refractive index of the second optical material, plus one minus the volume fraction of the first optical material and the volume of the second optical material all multiplied by the refractive index of a third optical material. The wavelength-dependent index of refraction distribution and a refractive index dispersion through the GRIN optical element may be independently specified from one another. A local refractive index at any point in the optical element is a fixed function of a refractive index of each individual optical material.

Abstract: Three or more base optical materials are selectively combined into a trans-gradient index (GRIN) optical element (e.g., a lens). A wavelength-dependent index of refraction for light propagating perpendicular to the three or more optical materials equals: a volume fraction of a first optical material multiplied by a refractive index of the first optical material, plus a volume fraction of a second optical material multiplied by a refractive index of the second optical material, plus one minus the volume fraction of the first optical material and the volume of the second optical material all multiplied by the refractive index of a third optical material. The wavelength-dependent index of refraction distribution and a refractive index dispersion through the GRIN optical element may be independently specified from one another. A local refractive index at any point in the optical element is a fixed function of a refractive index of each individual optical material.

Abstract: Three or more base optical materials are selectively combined into a trans-gradient index (GRIN) optical element (e.g., a lens). A wavelength-dependent index of refraction for light propagating perpendicular to the three or more optical materials equals: a volume fraction of a first optical material multiplied by a refractive index of the first optical material, plus a volume fraction of a second optical material multiplied by a refractive index of the second optical material, plus one minus the volume fraction of the first optical material and the volume of the second optical material all multiplied by the refractive index of a third optical material. The wavelength-dependent index of refraction distribution and a refractive index dispersion through the GRIN optical element may be independently specified from one another. A local refractive index at any point in the optical element is a fixed function of a refractive index of each individual optical material.

Abstract: An optical interconnection for connecting a first integrated circuit to a second integrated circuit includes a plurality of light sources, a plurality of light detectors, a symmetric imaging system, and a plurality of beam steering elements, one for each of the plurality of light sources. Each of the beam steering elements is configured to steer light from its corresponding light source to a new angle which causes the symmetric imaging system to have an effective aperture closer to its plane of symmetry. A mirror may be inserted in the plane of symmetry of the imaging system that folds the system back upon itself, making the object plane and image plane co-incident.