Abstract: An electro-optic device includes a substrate structure, a first layer, a second layer on the first layer, and a third layer on the second layer. The first layer includes a first thin film lithium-containing (TFLC) electro-optic material and having a first thickness. The second layer includes a second TFLC electro-optic material and has a second thickness. The third layer includes a third TFLC electro-optic material and having a third thickness. Electro-optic structure(s) of the electro-optic device includes the first layer, the second layer, and the third layer. In the electro-optic structure(s), the first layer has a first width, the second layer has a second width, and the third layer has a third width.

Abstract: An electro-optic device includes a substrate structure, a first layer, a second layer on the first layer, and a third layer on the second layer. The first layer includes a first thin film lithium-containing (TFLC) electro-optic material and having a first thickness. The second layer includes a second TFLC electro-optic material and has a second thickness. The third layer includes a third TFLC electro-optic material and having a third thickness. Electro-optic structure(s) of the electro-optic device includes the first layer, the second layer, and the third layer. In the electro-optic structure(s), the first layer has a first width, the second layer has a second width, and the third layer has a third width.

Abstract: An electro-optic device is described. The electro-optic device includes a substrate, an oxide layer and a thin film lithium-containing (TFLC) electro-optic layer. The oxide layer is on the substrate. The TFLC electro-optic layer is on the oxide layer. The TFLC electro-optic layer includes a waveguide. The electro-optic device also includes a via extending through the substrate, the oxide layer, and the TFLC electro-optic layer. The via includes a conductive filler.

Abstract: An electro-optic device including a first waveguide, a second waveguide, and electrodes is described. The first waveguide includes a first thin film lithium-containing (TFLC) electro-optic material and carries a first optical signal. The second waveguide includes a second TFLC electro-optic material and carries a second optical signal. The electrodes include a differential electrode pair proximate to a portion of the first waveguide and to a portion of the second waveguide. The differential electrode pair is configured to provide a first modulation to the first optical signal and a second modulation to the second optical signal. A first magnitude of the first modulation is different from a second magnitude of the second modulation such that the electro-optic device has an engineered chirp.

Abstract: An electro-optic device is described. The electro-optic device includes at least one optical material having an electro-optic effect. Further, the optical material(s) include lithium. The optical material(s) have a slab and a ridge waveguide. The slab has a top surface. The slab includes free surfaces. Each of the free surfaces is at a nonzero angle from the top surface of the slab and mitigates stress in the slab.

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.