In accordance with an embodiment, a bandpass transmission filter having a center wavelength of transmission includes: a waveguide structure comprising a grating structure having changing grating pitch values configured to diffract radiation in the waveguide structure having a first wavelength lower than the center wavelength of transmission, and configured to reflect radiation in the waveguide structure having a second wavelength higher than the center wavelength of transmission; and a radiation absorbing structure configured to absorb radiation guided by the waveguide structure having a third wavelength higher than the second wavelength, wherein the radiation absorbing structure is an integrated part of the waveguide structure or comprises a layer arranged adjacent to the waveguide structure.

Arrays of integrated analytical devices and their methods for production are provided. The arrays are useful in the analysis of highly multiplexed optical reactions in large numbers at high densities, including biochemical reactions, such as nucleic acid sequencing reactions. The integrated devices allow the highly sensitive discrimination of optical signals using features such as spectra, amplitude, and time resolution, or combinations thereof. The arrays and methods of the invention make use of silicon chip fabrication and manufacturing techniques developed for the electronics industry and highly suited for miniaturization and high throughput.

Arrays of integrated analytical devices and their methods for production are provided. The arrays are useful in the analysis of highly multiplexed optical reactions in large numbers at high densities, including biochemical reactions, such as nucleic acid sequencing reactions. The integrated devices allow the highly sensitive discrimination of optical signals using features such as spectra, amplitude, and time resolution, or combinations thereof. The arrays and methods of the invention make use of silicon chip fabrication and manufacturing techniques developed for the electronics industry and highly suited for miniaturization and high throughput.

In one example, a chip-scale emitter includes a resonator formed in a waveguide, wherein the resonator includes a first grating formed in the waveguide and a second grating formed in the waveguide that is separate from the first grating; and a scattering element consisting of a single defect in the waveguide, wherein the scattering element is positioned between the first grating and the second grating in the waveguide.

In one example, a chip-scale emitter includes a resonator formed in a waveguide, wherein the resonator includes a first grating formed in the waveguide and a second grating formed in the waveguide that is separate from the first grating; and a scattering element consisting of a single defect in the waveguide, wherein the scattering element is positioned between the first grating and the second grating in the waveguide.

A device disclosed herein includes a display alignment sensing assembly positioned to receive a first signal output from a first display assembly and a second signal output from a from a second display assembly. A waveguide directs the second signal from the output of the second display assembly to the display alignment sensing assembly where the first signal and the second signal are merged into a combined signal received at an optical sensor. A display alignment tracker detects a positioning disparity between the first signal and the second signal within the combined signal and outputs a rendering position adjustment instruction to correct for the detected positioning disparity.

A mode-matched waveguide Y-junction with balanced or unbalanced splitting comprises an input waveguide, expanding from an input end to an output end, for expanding the input beam of light along a longitudinal axis; first and second output waveguides extending from the output end of the input waveguide separated by a gap. Ideally, each of the first and second output waveguides includes an initial section capable of supporting a fundamental super mode, and having an inner wall substantially parallel to the longitudinal axis, and a mode splitting section extending from the initial section at an acute angle to the longitudinal axis.

A mode-matched waveguide Y-junction with balanced or unbalanced splitting comprises an input waveguide, expanding from an input end to an output end, for expanding the input beam of light along a longitudinal axis; first and second output waveguides extending from the output end of the input waveguide separated by a gap. Ideally, each of the first and second output waveguides includes an initial section capable of supporting a fundamental super mode, and having an inner wall substantially parallel to the longitudinal axis, and a mode splitting section extending from the initial section at an acute angle to the longitudinal axis.

A planar optical waveguide based on two-dimensional grating includes an optical waveguide substrate which is a transparent plane-parallel plate, and a functional grating element which includes a two-dimensional grating having two grating directions with an angle of 60 in between. The two-dimensional grating is either protruded or recessed into the top surface of the optical waveguide substrate. The output image from a micro-projector can enter the optical waveguide and then gets projected to cover the entire area of the functional grating element, enabling a human eye to view the output image across a large eye-box.

A planar optical waveguide based on two-dimensional grating includes an optical waveguide substrate which is a transparent plane-parallel plate, and a functional grating element which includes a two-dimensional grating having two grating directions with an angle of 60 in between. The two-dimensional grating is either protruded or recessed into the top surface of the optical waveguide substrate. The output image from a micro-projector can enter the optical waveguide and then gets projected to cover the entire area of the functional grating element, enabling a human eye to view the output image across a large eye-box.