Abstract: A multilayer photonic device is described, including an input region configured to receive an input signal, a multilayer stack optically coupled with the input region to receive the input signal, and an output region optically coupled with the multilayer stack to output an output signal. The multilayer stack can include a first metastructured dispersive region disposed in a first patterned layer of the multilayer stack and a second metastructured dispersive region disposed in a second patterned layer of the multilayer stack and optically coupled with the first metastructured dispersive region. The first metastructured dispersive region and the second metastructured dispersive region can together structure the multilayer stack to generate the output signal in response to the input signal.

Abstract: In some embodiments, techniques for optimizing a design for a physical device to be fabricated by a fabrication system is provided. A computing system receives an initial design. The computing system simulates performance of the initial design to determine a simulated performance metric of the initial design. The computing system determines a Jacobian of the simulated performance metric of the initial design. The computing system backpropagates a gradient of the simulated performance metric of the initial design to generate an updated design. The computing system estimates performance of the updated design using the Jacobian of the simulated performance metric of the initial design to determine an estimated performance metric. The computing system backpropagates a gradient of the estimated performance metric to generate a further updated design.

Abstract: In some embodiments, techniques for optimizing a design for a physical device to be fabricated by a fabrication system is provided. A computing system receives an initial design. The computing system uses a fabrication model to determine structural parameters based on the initial design, wherein using the fabrication model includes applying one or more morphological transformations to the initial design that are predicted to be introduced by the fabrication system. The computing system obtains a performance metric by simulating performance of the structural parameters. The computing system determines a loss metric based on the performance metric. The computing system backpropagates a gradient of the loss metric to generate an updated design.

Abstract: An optical modulator includes a modulation region, input, output, and sink ports, and a modulation actuator. The modulation region includes an inhomogeneous arrangement of two or more different materials having different refractive indexes. The input port is optically coupled to the modulation region to inject an optical carrier wave into the modulation region. The output port is optically coupled to the modulation region to receive and emit a modulated signal having a high state and a low state. The sink port is optically coupled to the modulation region. The modulation actuator is disposed proximate to the modulation region and adapted to apply a modulation bias to the modulation region that influences the different refractive indexes of the inhomogeneous arrangement to selectively steer a portion of optical power of the optical carrier wave to the sink port when the modulated signal is modulated into the low state.

Abstract: Techniques for optimizing a design for a physical device to be fabricated by a fabrication system are disclosed. A computing system receives an initial design of the physical device. The computing system simulates fabrication of the physical device using a fabrication model associated with the fabrication system to determine predicted structural parameters. The computing system determines a gradient of the fabrication model based on an estimator. The computing system backpropagates the gradient of the fabrication model to update the predicted structural parameters and thereby generate updated structural parameters. The computing system backpropagates a gradient associated with the updated structural parameters to update the initial design and thereby generate an updated initial design. In some embodiments, the updated initial design is transmitted to the fabrication system for fabrication of the physical device.

Abstract: A multilayer photonic device is described, including an input region configured to receive an input signal, a multilayer stack optically coupled with the input region to receive the input signal, and an output region optically coupled with the multilayer stack to output an output signal. The multilayer stack can include a first metastructured dispersive region disposed in a first patterned layer of the multilayer stack and a second metastructured dispersive region disposed in a second patterned layer of the multilayer stack and optically coupled with the first metastructured dispersive region. The first metastructured dispersive region and the second metastructured dispersive region can together structure the multilayer stack to generate the output signal in response to the input signal.

Abstract: A photonic integrated circuit comprises an optical deinterleaver, including an input region, a dispersive region, and at least two output regions. The input region is adapted to receive an input optical signal including a plurality of channels. The dispersive region is optically coupled to the input region to receive the input optical signal. The dispersive region includes an inhomogeneous arrangement of a first material and a second material to structure the dispersive region to separate the input optical signal into a plurality of multi-channel optical signals, including a first multi-channel optical signal and a second multi-channel optical signal. The at least two output regions, include a first out region and a second output region optically coupled to the dispersive region. The first output region is positioned to receive the first multi-channel optical signal and the second output region is positioned to receive the second multi-channel optical signal.

Abstract: In some embodiments, techniques for creating a design for a physical device are provided. A computing system receives an initial design of the physical device. Performance of the physical device is simulated using the initial design. A performance loss value is determined for the physical device based on the simulated performance at a target wavelength and one or more delta wavelengths. The performance loss value is backpropagated to determine a gradient corresponding to an influence of changes in the initial design on the total performance loss value. The initial design of the physical device is revised based at least in part on the gradient.

Abstract: A photonic integrated circuit comprises an optical deinterleaver, including an input region, a dispersive region, and at least two output regions. The input region is adapted to receive an input optical signal including a plurality of channels. The dispersive region is optically coupled to the input region to receive the input optical signal. The dispersive region includes an inhomogeneous arrangement of a first material and a second material to structure the dispersive region to separate the input optical signal into a plurality of multi-channel optical signals, including a first multi-channel optical signal and a second multi-channel optical signal. The at least two output regions, include a first out region and a second output region optically coupled to the dispersive region. The first output region is positioned to receive the first multi-channel optical signal and the second output region is positioned to receive the second multi-channel optical signal.

Abstract: A computer-implemented method of creating a design for a physical device using an inverse design process is provided. A computing system receives a proposed design. The computing system conducts an operational simulation based on the proposed design at a first resolution to generate a calculated performance result. The computing system provides the calculated performance result to a machine learning model to generate a predicted performance result of an operational simulation based on the proposed design at a second resolution, where the second resolution is higher than the first resolution. The computing system updates the proposed design based on the predicted performance result.

Abstract: A method and a device for image inpainting on arbitrary surfaces in three-dimensional space are described for inpainting a region of a three-dimensional image utilizing a partial differential equation. The method includes obtaining a three-dimensional image on a surface S in three-dimensional space, and each point of the image includes an image point value and a position vector. The method includes locating an inpainting region D and generating an inpainting mask. The method further includes calculating image point values for points inside the inpainting region D and creating a second three-dimensional image to obtain an inpainted image. The present disclosure solves technical problems that previous methods do not work well on three-dimensional images on arbitrary surfaces and improves image inpainting technology.

Abstract: A method and a device for image inpainting on arbitrary surfaces in three-dimensional space are described for inpainting a region of a three-dimensional image utilizing a partial differential equation. The method includes obtaining a three-dimensional image on a surface S in three-dimensional space, and each point of the image includes an image point value and a position vector. The method includes locating an inpainting region D and generating an inpainting mask. The method further includes calculating image point values for points inside the inpainting region D and creating a second three-dimensional image to obtain an inpainted image. The present disclosure solves technical problems that previous methods do not work well on three-dimensional images on arbitrary surfaces and improves image inpainting technology.

Abstract: Methods are described for detecting an edge of an object within an image with a fractional differential operator. Methods are also described for calculating 3D information using a strip pattern and the disclosed edge detection method. The fractional differential operator may be a modified Riesz space fractional differential operator. When calculating the fractional derivative of the image, a kernel approximation, in which a scaled Gaussian kernel function or a simplified scaled Gaussian kernel function, is applied to discretize the modified Riesz space fractional differential operator locally. The disclosed method improves the accuracy of edge detection, eliminates the need of applying additional fractional integration for noise suppression, and requires a smaller mask length to achieve desired accuracy.

Abstract: Methods are described for detecting an edge of an object within an image with a fractional differential operator. Methods are also described for calculating 3D information using a strip pattern and the disclosed edge detection method. The fractional differential operator may be a modified Riesz space fractional differential operator. When calculating the fractional derivative of the image, a kernel approximation, in which a scaled Gaussian kernel function or a simplified scaled Gaussian kernel function, is applied to discretize the modified Riesz space fractional differential operator locally. The disclosed method improves the accuracy of edge detection, eliminates the need of applying additional fractional integration for noise suppression, and requires a smaller mask length to achieve desired accuracy.

Abstract: An optical lens for a light source has an incidence surface receiving light rays emitted from a light source and an aspherical emitting surface optically coupled with the incidence surface for receiving light rays from the incidence surface and emitting light rays received from the incidence surface. The incidence surface defines a cavity for receiving the light source. An opaque or semi-opaque bottom surface adjoins the incidence surface and emitting surface. A lighting device has a substrate, a lighting source located on the substrate, and the optical lens located with the substrate and enclosing the lighting device. A strip light has an elongate substrate having light sources and respective lenses distributed longitudinally along the substrate. Such a strip light using the lens is suitable for lighting the interior of a commercial or domestic refrigerator, chillier cabinet, or other enclosure.

Abstract: An optical lens for a light source has an incidence surface receiving light rays emitted from a light source and an aspherical emitting surface optically coupled with the incidence surface for receiving light rays from the incidence surface and emitting light rays received from the incidence surface. The incidence surface defines a cavity for receiving the light source. An opaque or semi-opaque bottom surface adjoins the incidence surface and emitting surface. A lighting device has a substrate, a lighting source located on the substrate, and the optical lens located with the substrate and enclosing the lighting device. A strip light has an elongate substrate having light sources and respective lenses distributed longitudinally along the substrate. Such a strip light using the lens is suitable for lighting the interior of a commercial or domestic refrigerator, chillier cabinet, or other enclosure.