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.

Abstract: Imaging systems, cameras, and image sensors of this disclosure include imaging pixels that include subpixels. Diffractive optical elements such as a metasurface lens layers or a liquid crystal polarization hologram (LCPH) are configured to focus image light to the subpixels of the imaging pixels.

Abstract: A device includes a light source configured to emit an image light. The device also includes an optical assembly configured to direct the image light to an eye-box of the device. The optical assembly includes a first optical element portion configured to focus a first portion of the image light propagating through the first optical element portion. The optical assembly also includes a second optical element portion configured to focus a second portion of the image light propagating through the second optical element portion. The second optical element portion includes a liquid crystal (“LC”) lens having an adjustable optical power.

Abstract: A device includes a light guide. The device also includes a first in-coupling element configured to couple a first input light into the light guide, and a first out-coupling element configured to couple the first input light out of the light guide as a first output light having a first output field of view (“FOV”). The device also includes a second in-coupling element configured to couple a second input light into the light guide. The device further includes a second out-coupling element configured to couple the second input light out of the light guide as a second output light having a second output FOV substantially non-overlapping with the first output FOV. A combination of the first and second output FOVs is larger than at least one of the first or second output FOV, and the first and second input lights have orthogonal polarizations.

Abstract: A device is provided. The device includes a first Pancharatnam-Berry phase (“PBP”) lens, and a second PBP lens stacked with the first PBP lens. Each of the first PBP lens and the second PBP lens includes a liquid crystal (“LC”) layer. Each side of the LC layer is provided with a continuous electrode and a plurality of patterned electrodes. The patterned electrodes in the first PBP lens are arranged non-parallel to the patterned electrodes in the second PBP lens.

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: The invention relates to a method of creation of three-dimensional alignment patterns that includes providing a layer of optically recordable and polarization sensitive material having a thickness that is greater than, or equal to, a predefined thickness, and concurrently illuminating the optically recordable medium with two coherent beam of same or different polarization with predetermined angle between the beams such that the said beams impinge from the same side or from the opposite sides upon the layer of the recordable material. The invention further relates to polarization volume holograms based on the said alignment patterns and polarization holographic element including a single layer or a stack of several layers of optically recordable materials containing single or multiple polarization volume holograms.