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: The present invention relates to a network device comprising: a first input interface, a first output interface, and a second output interface, wherein the network device is configured to change from a first state, referred to as a time state, to a second state, referred to as a spatial state, and vice versa, wherein the network device is configured to generate each of a first output message and a second output message based on a first input message, wherein the network device is configured to transmit, in the time state, both, the first output message and the second output message, offset in time either via the first output interface or second output interface, and wherein the network device is configured to transmit, in the spatial state, the first output message via the first output interface and the second output message via the second output interface. The present invention also relates to a communication system comprising the network device and to a method for the network device.

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 optical diffuser includes optically anisotropic molecules arranged in a predefined configuration such that the optical diffuser diffuses first light having a first polarization and transmits second light having a second polarization that is different from the first polarization upon receiving the second light. In addition to polarization selectivity, the optical diffuser may also exhibit wavelength selectivity and/or incident angle selectivity. A method of diffusing light using the optical diffuser and a method of making the optical diffuser are also disclosed.

Abstract: A system is provided for generating a polarization interference pattern. The system includes a light source configured to output a first beam having a predetermined wavelength. The system includes a transmissive polarization volume hologram (“PVH”) mask configured to provide a predetermined diffraction efficiency to a second beam having the predetermined wavelength, a circular polarization, and a non-zero incident angle at the transmissive PVH mask. The system includes a light deflecting element disposed between the light source and the transmissive PVH mask, and configured to deflect the first beam as the second beam toward the transmissive PVH mask. The transmissive PVH mask is configured to forwardly diffract the second beam incident thereon as a third beam and a fourth beam having orthogonal circular polarizations, a substantially same light intensity, and symmetric propagation directions. The third beam and the fourth beam interfere with one another to generate the polarization interference pattern.

Abstract: A Pancharatnam-Berry phase (PBP) lens includes a substrate and one or more liquid crystal material layers on the substrate. The one or more liquid crystal material layers include a plurality of zones at different distances from a center of the PBP lens, where different zones of the plurality of zones of the one or more liquid crystal material layers have different liquid crystal twist angles along a surface-normal direction of the substrate and different phase delays for surface-normal incident light. The PBP lens can have an f-number less than 1, and can be used in a near-eye display system to project display images to an eye of a user at an efficiency greater than 75% at a peripheral region of the PBP lens.

Abstract: A system for biological nitrogen removal and negative carbon discharge from wastewater with low carbon-to-nitrogen ratio may include a water intake pump, a carbon capture apparatus, a carbon recovery sedimentation tank, an integrated ammonium apparatus, an autotrophic denitrification apparatus and a denitrification sedimentation tank that are connected in sequence by pipes. The carbon capture apparatus may include an anode chamber communicated with the water intake pump via a water inlet pipe and a cathode chamber communicated with the carbon recovery sedimentation tank via a first water outlet pipe. The anode and cathode chambers may be spaced apart by an ion exchange resin membrane. The anode and cathode chambers may be provided with an anode plate and a cathode plate electrically connected to positive and negative electrodes of a power source, respectively. A bottom of the cathode chamber may be provided with aerators connected to a first air compressor by a pipe.

Abstract: A device includes a first-type liquid crystal (LC) lens configured to provide a first optical power that is variable in a first step resolution. The device also includes a second-type LC lens coupled with the first-type LC lens, and configured to provide a second optical power that is variable in a second step resolution. The first step resolution is smaller than the second step resolution. A total optical power of the device is a sum of the first optical power and the second optical power, and is variable in the first step resolution.

Abstract: A system and method for efficiently routing scan data between two dies used in three-dimensional packaging are described. In various implementations, a computing system includes at least a first semiconductor die (or first die) and a second die connected to one another within a three-dimensional (3D) package. The first die and the second die have multiple non-scan input/output (I/O) data channels between them for data transfer. The non-scan I/O data channels are partitioned into groups. The first die receives a given scan input data bit for testing a device under test (DUT) on the second die. The first die selects a first group of non-scan I/O data channels, and sends, to the second die, a copy of the given scan input data bit on each non-scan I/O data channel of the first group. The second die uses a voter circuit to determine the value of the given scan input data bit.

Abstract: A waveguide assembly includes a waveguide having a first surface and a second surface; an input deflection grating; an output deflection grating; and a first compensator layer on the first surface of the waveguide. The first compensator layer includes a material selected from aligned liquid crystal reactive mesogens, birefringent polymers, and inorganic birefringent materials.

Abstract: A system includes a diffractive optical element including at least one substrate and a grating structure. The grating structure is configured to diffract a first light having an incidence angle within a predetermined range, and the at least one substrate is configured to reflect a second light. The system also includes a polarization selective mechanism configured to generate images based on the first light and the second light, respectively.

Abstract: Provided herein are a series of compounds and their use as an adjuvant. Provided herein are the compounds, a composition comprising the compounds, and the use thereof. These compounds can be used as an adjuvant for a vaccine, and compared to the conventional aluminum adjuvant, the compounds can significantly improve the cellular and humoral immune responses to a vaccine. The compounds as an adjuvant can increase a broad-spectrum protection against various corona viruses such as SARS virus, influenza viruses, and HIV viruses, and significantly enhance persistence of immunoprotection of vaccines.

Abstract: A system includes a mask configured to forwardly diffract an input beam as a first set of two polarized beams. The system also includes a polarization conversion element configured to convert the first set of two polarized beams into a second set of two polarized beams having opposite handednesses. The two polarized beams having opposite handednesses interfere with one another to generate a polarization interference pattern.

Abstract: A system includes a surface relief grating configured to forwardly diffract an input beam as two linearly polarized beams. The system also includes a waveplate optically coupled with the surface relief grating and configured to convert the two linearly polarized beams into two circularly polarized beams having orthogonal circular polarizations. The two circularly polarized beams having orthogonal circular polarizations interfere with one another to generate a polarization interference pattern.

Abstract: A hybrid lens is disclosed including optically coupled varifocal lens and adaptive lens. The varifocal lens is configured for varying optical power of the hybrid lens, and an adaptive lens includes a voltage-controlled element for varying optical power of the adaptive lens in coordination with varying the optical power of the varifocal lens and responsive to variation of the optical power of the hybrid lens, for lessening an optical aberration of the hybrid lens. The hybrid lens may be used in head-mounted displays e.g. for lessening a vergence-accommodation conflict.

Abstract: An optical assembly includes a plurality of successive optical stages that are configured to transmit light at a variable overall optical power by configuring one or more stages of the successive optical stages. A respective optical stage of the successive optical stages includes an active optical element that is configurable to be in a first state at a first time and a second state at a second time that is distinct from the first time. The active optical element, in the first state, has a first respective optical power for light of a first polarization and a second respective optical power, that is different from the first respective optical power, for light of a second polarization that is orthogonal to the first polarization. The active optical element, in the second state, has a third optical power for light of the first polarization and light of the second polarization.

Abstract: A recombinant human collagen-based multifunctional stent coating and a preparation method thereof are provided. The preparation method includes (1) activating a substrate material; (2) placing the activated substrate material in an amino compound-containing solution for a reaction to obtain an aminated substrate material; (3) placing the aminated substrate material in a polyanion electrolyte solution for a reaction, and cleaning with deionized water. The recombinant human collagen-based multifunctional stent coating prepared by the present invention effectively improves the anticoagulation and rapid endothelialization performance of biomaterials, such as vascular stent materials, and reduces the late thrombosis and restenosis problems existing in current stent materials.

Abstract: A display apparatus includes a lightguide for conveying images to an eyebox. The lightguide includes a substrate, a diffractive optical element (DOE) configured to couple the image light into the substrate. The DOE has a spatially variable pitch configured to provide the DOE with a positive optical power. The lightguide further includes a grating out-coupler supported by the substrate for out-coupling portions of the image light from the substrate toward the eyebox.

Abstract: An optical device includes an optical component (e.g., a polarization volume hologram, a geometric phase device, or a polarization-insensitive diffractive optical element) having a uniform thickness and configured to modify a wavefront of a light beam that includes light in two or more wavelengths visible to human eyes, where the optical component has a chromatic aberration between the two or more wavelengths. The optical device also includes a metasurface on the optical component. The metasurface includes a plurality of nanostructures configured to modify respective phases of incident light at a plurality of regions of the metasurface, where the plurality of nanostructures is configured to, at each region of the plurality of regions, add a respective phase delay for each of the two or more wavelengths to correct the chromatic aberration between the two or more wavelengths.

Abstract: A system includes a diffractive optical element configured to receive a first beam and a second beam interfering with one another to generate a first interference pattern. The diffractive optical element is also configured to forwardly diffract the first beam and the second beam to output a third beam and a fourth beam. The third beam and the fourth beam interfere with one another to generate a second interference pattern. The system also includes a detector configured to detect the second interference pattern.