Abstract: An electro-optic device is described. The electro-optic device includes a substrate, an insulator on the substrate, an optical structure on the insulator and an electrode proximate to at least a portion of the optical structure. The substrate includes a trench region having a plurality of trenches therein. The trench region has an effective microwave index based on a substrate material and the plurality of trenches. The insulator is on the substrate. The optical structure is on the insulator. The optical structure has a thin film electro-optic layer including lithium. The electrode is proximate to a portion of the optical structure.

Abstract: An optical device including a waveguide, electrodes, and a connecting dielectric is described. The waveguide includes an electro-optic material having a waveguide optical refractive index and a waveguide microwave dielectric constant. The electrodes include a first electrode and a second electrode. The waveguide is between the first electrode and the second electrode. At least a portion of the connecting dielectric is between the waveguide and electrodes. The connecting dielectric has a microwave dielectric constant greater than the waveguide microwave dielectric constant.

Abstract: An integrated electro-optic frequency comb generator based on ultralow loss integrated, e.g. thin-film lithium niobate, platform, which enables low power consumption comb generation spanning over a wider range of optical frequencies. The comb generator includes an intensity modulator, and at least one phase modulator, which provides a powerful technique to generate a broad high power comb, without using an optical resonator. A compact integrated electro-optic modulator based frequency comb generator, provides the benefits of integrated, e.g. lithium niobate, platform including low waveguide loss, high electro-optic modulation efficiency, small bending radius and flexible microwave design.

Abstract: A hybrid photonics device package is described. The hybrid photonics device package includes an electro-optic integrated circuit and a photonics integrated circuit. The electro-optic integrated circuit includes an optical structure and an electrode on a first substrate. The optical structure has a thin film electro-optic layer including lithium. The photonics integrated circuit includes a second substrate and a photonics component on the second substrate. The photonics component and the optical structure are optically coupled. One of the electro-optic integrated circuit and the photonics integrated circuit is mounted on an other of the electro-optic integrated circuit and the photonics integrated circuit.

Abstract: An optical device is described. The optical device includes a waveguide and a modulation driver. The waveguide includes a first region, a second region, and a tapered region between the first and second regions. The first region supports a first set of modes of an optical signal. The second region supports a second set of modes of the optical signal. The first set of modes is different from the second set of modes. The tapered region is between the first region and the second region. The waveguide includes lithium. The modulation driver is configured to provide modulation of the optical signal in the first region.

Abstract: An optical device including a waveguide, electrodes, and a connecting dielectric is described. The waveguide includes an electro-optic material having a waveguide optical refractive index and a waveguide microwave dielectric constant. The electrodes include a first electrode and a second electrode. The waveguide is between the first electrode and the second electrode. At least a portion of the connecting dielectric is between the waveguide and electrodes. The connecting dielectric has a microwave dielectric constant greater than the waveguide microwave dielectric constant.

Abstract: A hybrid photonics device package is described. The hybrid photonics device package includes an electro-optic integrated circuit and a photonics integrated circuit. The electro-optic integrated circuit includes an optical structure and an electrode on a first substrate. The optical structure has a thin film electro-optic layer including lithium. The photonics integrated circuit includes a second substrate and a photonics component on the second substrate. The photonics component and the optical structure are optically coupled. One of the electro-optic integrated circuit and the photonics integrated circuit is mounted on an other of the electro-optic integrated circuit and the photonics integrated circuit.

Abstract: A method or system can include or be configured to receive a set of satellite observations, receiving sensor data, determining a position estimate and associated positioning error for a rover based on the set of satellite observations and the sensor data, determine a protection level associated with the position estimate based on a set of potential faults, and optionally provide an alert when the positioning error exceeds the protection level.

Abstract: An optical device including a waveguide, electrodes, and a connecting dielectric is described. The waveguide includes an electro-optic material having a waveguide optical refractive index and a waveguide microwave dielectric constant. The electrodes include a first electrode and a second electrode. The waveguide is between the first electrode and the second electrode. At least a portion of the connecting dielectric is between the waveguide and electrodes. The connecting dielectric has a microwave dielectric constant greater than the waveguide microwave dielectric constant.

Abstract: A method can include receiving a set of satellite signals, refining the set of satellite signals to generate a refined set of satellite signals, determining a satellite solution for each satellite associated with a satellite signal in the refined set of satellite signals, applying an a-priori correction to the satellite signals, determining a set of time differenced satellite signals between the satellite signals from a current epoch and a previous epoch; and determining the positioning solution of the rover using a fusion engine that processes the differenced satellite signals and inertial measurement unit (IMU) data.

Abstract: A method or system can include or be configured to receive a set of satellite observations, receiving sensor data, determining a position estimate and associated positioning error for a rover based on the set of satellite observations and the sensor data, determine a protection level associated with the position estimate based on a set of potential faults, and optionally provide an alert when the positioning error exceeds the protection level.

Abstract: A velocity mismatch between optical signals and microwave electrical signals in electro-optic devices, such as modulators, may be compensated by utilizing different lengths of bends in the optical waveguides as compared to the microwave electrodes to match the velocity of the microwave signal propagating along the coplanar waveguide to the velocity of the optical signal. To ensure the electrode bends do not affect the light in the optical waveguide bends, the electrode may have to be rerouted, e.g. above or below, the optical waveguide layer. To ensure that the pair of optical waveguides have the same optical length, a waveguide crossing may be used to cross the first waveguide through the second waveguide.

Abstract: An optical device configured to be coupled with an optical fiber is described. The optical device includes a waveguide, a low-confinement waveguide, and a low-confinement layer. The waveguide includes a high-confinement waveguide, which has a first index of refraction. The low-confinement waveguide is optically coupled with the high-confinement waveguide. At least a portion of the low-confinement waveguide has a second index of refraction less than the first index of refraction. The low-confinement waveguide has a thickness of at least a mode diameter in a portion of the optical fiber. The low-confinement layer is adjacent to a portion of the low-confinement waveguide. The low-confinement layer has a third index of refraction less than the second index of refraction.

Abstract: A velocity mismatch between optical signals and microwave electrical signals in electro-optic devices, such as modulators, may be compensated by utilizing different lengths of bends in the optical waveguides as compared to the microwave electrodes to match the velocity of the microwave signal propagating along the coplanar waveguide to the velocity of the optical signal. To ensure the electrode bends do not affect the light in the optical waveguide bends, the electrode may have to be rerouted, e.g. above or below, the optical waveguide layer. To ensure that the pair of optical waveguides have the same optical length, a waveguide crossing may be used to cross the first waveguide through the second waveguide.

Abstract: A method can include receiving sensor data, receiving satellite observations, determining a positioning solution (e.g., PVT solution, PVA solution, kinematic parameters, etc.) based on the sensor data and the satellite observations. A system can include a sensor, a GNSS receiver, and a processor configured to determine a positioning solution based on readings from the sensor and the GNSS receiver.

Abstract: An optical modulator includes optical material(s) and first and second differential electrode pairs. The optical material(s) exhibit an electro-optic effect and include lithium. The optical material(s) include first and second waveguides and first and second slab portions adjoining the first and second waveguides. The first differential electrode pair has electrodes arranged on opposing sides of the first waveguide. The second differential electrode pair has electrodes arranged on opposing sides of the second waveguide. The negative electrodes are arranged on distal sides of the waveguide relative to the other waveguide. The positive electrodes are arranged on proximal sides of waveguide relative to the other waveguide. The first and second waveguides, the first and second slab portions, and the first and second differential electrode pairs reside on a substrate structure. No portion of the first slab portion is between the first or second differential electrode pair and the substrate structure.

Abstract: An optical device including a plurality of electrodes, an electro-optic component, an optical grating, and a buried back reflector is described. The electro-optic component includes at least one optical material exhibiting an electro-optic effect. The optical grating is optically coupled with the electro-optic component. In some embodiments, the optical grating includes a vertical optical grating coupler. The buried back reflector is optically coupled with the optical grating. The buried back reflector is configured to increase a coupling efficiency of the optical grating to an out-of-plane optical mode and configured to reduce a performance perturbation to the plurality of electrodes. The buried back reflector may include a metal layer having a thickness of at least thirty nanometers and not more than five hundred nanometers.

Abstract: An optical device including a waveguide, electrodes, and a connecting dielectric is described. The waveguide includes an electro-optic material having a waveguide optical refractive index and a waveguide microwave dielectric constant. The electrodes include a first electrode and a second electrode. The waveguide is between the first electrode and the second electrode. At least a portion of the connecting dielectric is between the waveguide and electrodes. The connecting dielectric has a microwave dielectric constant greater than the waveguide microwave dielectric constant.

Abstract: An system and/or method for detecting outliers in satellite observations can include: receiving satellite observations associated with one or more satellite constellations; receiving sensor data; determining a GNSS positioning solution using a filter to process the satellite observations; determining a fused positioning solution; detecting whether outliers are present in the satellite observations; and when outliers are detected, updating the GNSS positioning solution and/or the fused positioning solution using a set of outlier mitigated satellite observations.

Abstract: A method can include receiving a set of satellite signals, refining the set of satellite signals to generate a refined set of satellite signals, determining a satellite solution for each satellite associated with a satellite signal in the refined set of satellite signals, applying an a-priori correction to the satellite signals, determining a set of time differenced satellite signals between the satellite signals from a current epoch and a previous epoch; and determining the positioning solution of the rover using a fusion engine that processes the differenced satellite signals and inertial measurement unit (IMU) data.