Abstract: A method includes providing a radiation with a predetermined intensity profile. The method also includes providing a photo-sensitive medium layer including a mixture of a photo-sensitive material and an absorbing additive. The absorbing additive has a predetermined non-uniform distribution in at least one of a direction within a film plane or a thickness direction of the photo-sensitive medium layer. The predetermined non-uniform distribution of the absorbing additive is configured to result in a predetermined non-uniform absorption of the radiation. The method also includes exposing the photo-sensitive medium layer to the radiation to form a polymer film. The optical film includes at least one predetermined birefringence variation in at least one of a direction within a film plane or a thickness direction of the polymer film.

Abstract: A polarization conversion device includes a geometric phase grating and an angular selective waveplate. The geometric phase grating includes a first liquid crystal layer and is configured to diffract a unpolarized or partially polarized incident light beam into a first light beam and a second light beam (e.g., in two different diffraction orders). The first light beam is characterized by a first polarization state and propagates in a first direction. The second light beam is characterized by a second polarization state and propagates in a second direction. The angular selective waveplate includes a second liquid crystal layer, and functions as a zero or full-wave plate for the first light beam incident in the first direction and a half-wave plate for the second light beam incident in the second direction.

Abstract: A device is provided. The device includes a polarization hologram polymer layer having a wavy surface, an optic axis of the polarization hologram polymer layer being configured with a spatially varying orientation in a first predetermined in-plane direction. The device also includes a compensation layer disposed at the wavy surface of the polarization hologram polymer layer and configured to compensate for the wavy surface in shape.

Abstract: A device includes a first substrate and a second substrate. The device also includes a birefringent medium layer disposed between the first substrate and the second substrate. Orientations of directors of optically anisotropic molecules included in the birefringent medium layer varying periodically with an in-plane pitch tunable by an external field to adjust a diffraction angle of a light beam diffracted by the birefringent medium layer.

Abstract: A device includes a light guide and at least one in-coupling element configured to couple an image light into the light guide. The device also includes a first out-coupling element configured to couple a first portion of the image light out of the light guide as a plurality of first output lights. The device further includes a second out-coupling element spaced apart from the first out-coupling element by a distance and configured to couple a second portion the image light out of the light guide as a plurality of second output lights. The second output lights are substantially non-overlapping with the first output lights.

Abstract: A hybrid lens includes a transmissive adaptive liquid lens and an optical element including liquid crystals. The adaptive liquid lens includes a layer of optical fluid on a substrate. A focal length of the adaptive liquid lens is adjustable. The optical element including liquid crystals is optically coupled with the adaptive liquid lens. The optical element including liquid crystals is configured to adjust a refractive index across the optical element including liquid crystals in conjunction with adjusting the focal length of the adaptive liquid lens so that the optical element reduces optical artifacts caused by the adaptive liquid lens.

Abstract: Computer implemented systems and methods are disclosed that allow for the efficient and rapid determination of guarantee funds for clearing member firms. Disclosed systems and methods account for the exposure of self-referencing risk.

Abstract: An optical element is provided. The optical element includes an optical film including a birefringent material having a chirality. Optically anisotropic molecules of the birefringent material disposed adjacent a first surface of the optical film are configured with a first pretilt angle in a range of greater than 10° and less than 80°, or in a range of greater than ?80° and less than ?10°. Optically anisotropic molecules of the birefringent material disposed adjacent a second surface of the optical film opposing the first surface are configured with a second pretilt angle in the range of greater than 10° and less than 80°, or in the range of greater than ?80° and less than ?10°.

Abstract: An optical assembly includes a beam steering device and a holographic optical element. The beam steering device is switchable between different states including a first state and a second state. The beam steering device includes a first polarization-selective optical element and a first tunable optical retarder optically coupled with the first polarization-selective optical element. The holographic optical element is positioned relative to the beam steering device for receiving light from the beam steering device and projecting a first light pattern while the beam steering device is in the first state and a second light pattern distinct from the first light pattern while the beam steering device is in the second state.

Abstract: An illuminator for a display panel includes a light source for providing a light beam and a lightguide coupled to the light source for receiving and propagating the light beam along the substrate. The lightguide includes an array of out-coupling gratings that runs parallel to the array of pixels for out-coupling portions of the light beam from the lightguide such that the out-coupled light beam portions propagate through the substrate and produce an array of optical power density peaks at the array of pixels due to Talbot effect. A period of the array of peaks is an integer multiple of a pitch of the array of pixels.

Abstract: Aspects of the present disclosure involve a system comprising a computer-readable storage medium storing a program and method for providing a reply interface for a media content item within a messaging system. The program and method provide for receiving, by a messaging application, first user input corresponding to a request for a content feed, the content feed comprising a plurality of media content items; providing, in response to receiving the first user input, for display of the content feed; receiving, by the messaging application, second user input of a swipe gesture performed with respect to display of a media content item of the plurality of media content items; and providing, in response to receiving the second user input, for display of a reply interface together with display of the media content item, the reply interface for sending a reply message to a user associated with the media content item.

Abstract: The present invention relates to a method for promoting growth of gas-fermented microorganisms, comprising the following steps: S1. ultrasonically blending a surfactant and a culture medium, then adding a fluorine-containing alkyl compound to a mixture, and ultrasonically processing the mixture to obtain a perfluorocarbon nanoemulsion; S2. inoculating a bacterial suspension into the perfluorocarbon nanoemulsion, and introducing simultaneously a mixed gas to obtain a precursor; S3. cultivating the precursor in a shaker, wherein the precursor has a diameter of bubbles of 2.0-4.2 mm, and the bubbles have the total volume of less than 40 ml. Under these conditions, the microorganisms have a high utilization rate of the gas, can grow and metabolize more quickly, and can obtain bacteria and products more quickly. Compared with a traditional culture system, addition of a mass transfer material can promote gas mass transfer. Therefore, the gas consumption is small, and the cost is low.

Abstract: A device includes a diffraction element and an optical filter stacked with the diffraction element. The optical filter is configured to forwardly deflect a light from a real-world environment incident onto the optical filter, at an incidence angle greater than or equal to a predetermined angle, toward the diffraction element. The diffraction element is configured to substantially transmit the light forwardly deflected by the optical filter.

Abstract: An optical assembly may include a waveguide and a Bragg grating configured to couple light into or out of the waveguide. The Bragg grating may include a plurality of layer pairs, wherein at least one layer pair comprises a first material having a first refractive index and a second layer having a second refractive index, and wherein properties of the Bragg grating are selected so that the Bragg grating exhibits a substantially similar diffractive efficiency and diffraction angle for light of at least two colors.

Abstract: Aspects of the present disclosure involve a system comprising a computer-readable storage medium storing a program and method for displaying content feeds within a messaging system. The program and method provide for receiving, by a messaging application associated with a user, user input corresponding to a request for a first content feed, the first content feed comprising a first plurality of media content items provided by one or more friends of the user; providing for display of the first content feed; determining, by the messaging application, that display of the first content feed is complete; and providing, in response to determining that display of the first content feed is complete, for display of a second content feed, the second content feed comprising a second plurality of media content items provided by one or more content providers to which the user subscribes with respect to the messaging application.

Abstract: An illuminator usable for illuminating a display panel is disclosed. The illuminator uses a pupil-replicating waveguide to expand a pair of light beams propagating in the waveguide. The light beams may be coupled at a same edge and/or at opposite edges of the waveguide, and are configured to fill each other's dark spots between out-coupled beam portions of the light beams. To improve the illumination uniformity, the two light beams may be orthogonally polarized, and the out-coupling grating strength may be spatially varied along the waveguide.

Abstract: Aspects of the present disclosure involve a system comprising a computer-readable storage medium storing a program and method for displaying a profile from a content feed within a messaging system. The program and method provide for receiving by a messaging application, first user input corresponding to a request for a content feed, the content feed comprising a plurality of media content items; providing, in response to receiving the first user input, for display of the content feed; receiving, by the messaging application, second user input of a predefined gesture performed with respect to a first media content item of the plurality of media content items; determining, in response to receiving the second user input and based on the first media content item, to display a public profile associated with the first media content item; and providing, based on the determining, for display of the public profile.

Abstract: A device is provided. The device includes a first lens assembly controllable to switch between a first plurality of optical powers. The first lens assembly includes a plurality of directly optically coupled lenses, and is configured to converge or diverge a light transmitted therethrough. The device also includes a second lens assembly coupled with the first lens assembly, and controllable to switch between a second plurality of optical powers that are opposite to the first plurality of optical powers.

Abstract: A head-mounted device (HMD) contains a display, an optics block, a redirection structure, and an eye tracking system. The display is configured to emit image light and provide it to an eye of a user. The optics block is configured to direct the emitted light in order to allow it to reach the eye. The eye tracking system contains a camera, an illumination source, and a controller. The camera is configured to capture image data using infrared light reflected from the eye. The controller is configured to use this image data to determine eye tracking information. The illumination source is configured to illuminate the eye with infrared light for the purpose of taking eye tracking measurements. The redirection structure is configured to direct infrared light reflected from the eye to the eye tracking system. In multiple embodiments, redirection structures may comprise prism arrays, lenses, liquid crystal layers, or grating structures.

Abstract: A device includes a light source configured to generate an image light. The device also includes a lens assembly coupled with the light source. The lens assembly includes a mirror configured to transmit a first portion of the image light and reflect a second portion of the image light. The lens assembly also includes a reflective polarizer including a birefringent medium with a chirality and configured to substantially reflect the first portion of the image light output from the mirror as a polarized light having a predetermined handedness toward the mirror. The lens assembly further includes a lens disposed between the mirror and the reflective polarizer and configured to provide an optical power to the image light.