Abstract: A system and method for providing a dynamic region of interest in a lidar system can include scanning a light beam over a field of view to capture a first lidar image, identifying a first object within the captured first lidar image, selecting a first region of interest within the field of view that contains at least a portion of the identified first object, and capturing a second lidar image, where capturing the second lidar image includes scanning the light beam over the first region of interest at a first spatial sampling resolution, and scanning the light beam over the field of view outside of the first region of interest at a second spatial sampling resolution, wherein the second sampling resolution is less than the first spatial sampling resolution.

Abstract: The present subject matter includes apparatus and techniques that can be used to reduce losses in systems that perform steering of a light beam. Such steering can be performed in a non-mechanical manner, such as using an electrically-controlled optical structure (e.g., an electro-optical structure). For example, a waveguide can be used to adjust an angle of a light beam (e.g., steer the light beam). The waveguide can include a core, a cladding including an electro-optic material, and electrodes defining an arrangement that, when selectively energized, adjusts an index of refraction of the electro-optic material. In particular, electrode arrangements as described herein can be used to reduce losses, such as losses that would occur due to diffraction.

Abstract: A substantially planar waveguide for dynamically controlling the out-of-plane angle at which a light beam exits the waveguide. Generally, liquid crystal materials may be disposed within a waveguide in a cladding proximate or adjacent to a core layer of the waveguide. In one example, the waveguide may contain one or more taper regions such that the light beam exits the waveguide and propagates out-of-the-plane of the waveguide into an out-coupling medium at a propagation angle. In one example, the waveguide may contain one or more electrodes onto which one or more voltages may be applied. The magnitude of the propagation angle may be electronically controlled by altered by controlling or altering the magnitude of the one or more applied voltages.

Abstract: A substantially planar waveguide for dynamically controlling the out-of-plane angle at which a light beam exits the waveguide. Generally, liquid crystal materials may be disposed within a waveguide in a cladding proximate or adjacent to a core layer of the waveguide. In one example, the waveguide may contain one or more taper regions such that the light beam exits the waveguide and propagates out-of-the-plane of the waveguide into an out-coupling medium at a propagation angle. In one example, the waveguide may contain one or more electrodes onto which one or more voltages may be applied. The magnitude of the propagation angle may be electronically controlled by altered by controlling or altering the magnitude of the one or more applied voltages.

Abstract: A substantially planar waveguide for dynamically controlling the out-of-plane angle at which a light beam exits the waveguide. Generally, liquid crystal materials may be disposed within a waveguide in a cladding proximate or adjacent to a core layer of the waveguide. In one example, the waveguide may contain one or more taper regions such that the light beam exits the waveguide and propagates out-of-the-plane of the waveguide into an out-coupling medium at a propagation angle. In one example, the waveguide may contain one or more electrodes onto which one or more voltages may be applied. The magnitude of the propagation angle may be electronically controlled by stored by controlling or altering the magnitude of the one or more applied voltages.

Abstract: A substantially planar waveguide for dynamically controlling the out-of-plane angle at which a light beam exits the waveguide. Generally, liquid crystal materials may be disposed within a waveguide in a cladding proximate or adjacent to a core layer of the waveguide. In one example, the waveguide may contain one or more taper regions such that the light beam exits the waveguide and propagates out-of-the-plane of the waveguide into an out-coupling medium at a propagation angle. In one example, the waveguide may contain one or more electrodes onto which one or more voltages may be applied. The magnitude of the propagation angle may be electronically controlled by altered by controlling or altering the magnitude of the one or more applied voltages.

Abstract: A substantially planar waveguide for controlling the out-of-plane angle at which a light beam exits the waveguide. Generally, liquid crystal materials may be disposed within a waveguide in a cladding proximate or adjacent to a core layer of the waveguide. In one example, the waveguide may contain one or more taper regions such that the light beam exits the waveguide and propagates out-of-the-plane of the waveguide into an out-coupling medium at a propagation angle. In one example, the waveguide may contain one or more electrodes onto which one or more voltages may be applied. The magnitude of the propagation angle may be electronically controlled by altered by controlling or altering the magnitude of the one or more applied voltages.

Abstract: A substantially planar waveguide for dynamically controlling the out-of-plane angle at which a light beam exits the waveguide. Generally, liquid crystal materials may be disposed within a waveguide in a cladding proximate or adjacent to a core layer of the waveguide. In one example, the waveguide may contain one or more taper regions such that the light beam exits the waveguide and propagates out-of-the-plane of the waveguide into an out-coupling medium at a propagation angle. In one example, the waveguide may contain one or more electrodes onto which one or more voltages may be applied. The magnitude of the propagation angle may be electronically controlled by altered by controlling or altering the magnitude of the one or more applied voltages.

Abstract: A substantially planar waveguide for dynamically controlling the out-of-plane angle at which a light beam exits the waveguide. Generally, liquid crystal materials may be disposed within a waveguide in a cladding proximate or adjacent to a core layer of the waveguide. In one example, the waveguide may contain one or more taper regions such that the light beam exits the waveguide and propagates out-of-the-plane of the waveguide into an out-coupling medium at a propagation angle. In one example, the waveguide may contain one or more electrodes onto which one or more voltages may be applied. The magnitude of the propagation angle may be electronically controlled by stored by controlling or altering the magnitude of the one or more applied voltages.

Abstract: A substantially planar waveguide for dynamically controlling the out-of-plane angle at which a light beam exits the waveguide. Generally, liquid crystal materials may be disposed within a waveguide in a cladding proximate or adjacent to a core layer of the waveguide. In one example, the waveguide may contain one or more taper regions such that the light beam exits the waveguide and propagates out-of-the-plane of the waveguide into an out-coupling medium at a propagation angle. In one example, the waveguide may contain one or more electrodes onto which one or more voltages may be applied. The magnitude of the propagation angle may be electronically controlled by altered by controlling or altering the magnitude of the one or more applied voltages.

Abstract: An optical time delay control device for controllably altering the transit time of an optical beam between two points. In one example, the device may include an optically transparent solid medium for receiving the optical beam, wherein at least a portion of the medium is generally a parallel piped shape characterized by a height, length and width, wherein the length is larger than the height; two mirrors affixed to two opposing parallel surfaces of the optically transparent solid medium, so that during operation the optical beam reflects between the two mirrors as the optical beam travels through the optically transparent medium; and an angle actuator for controllably altering the angle at which the optical beam enters into the optically transparent medium, thereby controllably altering the time that the optical beam travels through the device. This in effect permits control of the amount of delay of the transmission of light, and delays of 20 nanoseconds have been achieved.

Abstract: Waveguide and associated methods for controlling an optical phase delay (OPD) of TE polarized light traveling along a propagation direction through a waveguide are disclosed. In one example, the method includes providing the waveguide with a core, at least one cladding; initially aligning at least a portion of the liquid crystal molecules in an initial orientation with their longitudinal axes oriented at an out-of-plane tilt angle, and their longitudinal axis oriented at an in-plane angle; providing the waveguide with a pair of electrodes for receiving a control signal; and applying the control signal to the pair of electrodes to rotate the liquid crystal molecules from the initial orientation, thereby controlling the optical phase delay of the TE polarized light traveling through the waveguide.

Abstract: A waveguide and method for controllably altering an optical phase delay (OPD) of light traveling along a propagation direction through the waveguide. Many embodiments are disclosed, and in one example, the waveguide may include a core for guiding the light through the waveguide; at least one cladding adjacent the core, wherein the at least one cladding has liquid crystal molecules disposed therein; at least one alignment layer positioned between the at least one cladding and the core, the alignment layer initially aligning at least a portion of the liquid crystal molecules in an initial orientation; and a pair of electrodes for receiving a voltage.

Abstract: System and methods are provided for the definition and commoditization of a four-dimensional trajectory of airspace, i.e., a bundle of spatially-contiguous, three-dimensional volumetric units of airspace at distinct, finite, and contiguous periods of time. The three primary determinants of air transportation throughput, i.e., seat and freight capacity, runway environment capacity, and safe-separation airspace capacity, are individually defined and commoditized. In an illustrative implementation, parties may compete to offer units of safe-separation airspace capacity, which may be bundled together to form a four-dimensional trajectory, and/or runway environment capacity, which may collectively comprise a particular flight bundle. This flight bundle may then be sold on a commodities market to the highest-bidding seat and freight capacity provider.

Abstract: A waveguide and method for controllably altering an optical phase delay (OPD) of light traveling along a propagation direction through the waveguide. Many embodiments are disclosed, and in one example, a waveguide may include a core for guiding the light through the waveguide; at least one cladding adjacent the core, wherein the at least one cladding has liquid crystal molecules disposed therein; at least one electrode for receiving a first voltage for controllably altering the optical phase delay of the TE polarized light traveling through the waveguide; and at least one electrode for receiving a second voltage for controllably altering the optical phase delay of the TM polarized light traveling through the waveguide.

Abstract: Liquid crystal waveguides for dynamically controlling the refraction of light. Generally, liquid crystal materials may be disposed within a waveguide in a cladding proximate or adjacent to a core layer of the waveguide. In one example, portions of the liquid crystal material can be induced to form refractive or lens shapes in the cladding that interact with a portion (e.g. evanescent) of light in the waveguide so as to permit electronic control of the refraction/bending, focusing, or defocusing of light as it travels through the waveguide. In one example, a waveguide may be formed using one or more patterned or shaped electrodes that induce formation of such refractive or lens shapes of liquid crystal material, or alternatively, an alignment layer may have one or more regions that define such refractive or lens shapes to induce formation of refractive or lens shapes of the liquid crystal material.

Abstract: Liquid crystal waveguides for dynamically controlling the refraction of light. Generally, liquid crystal materials may be disposed within a waveguide in a cladding proximate or adjacent to a core layer of the waveguide. In one example, portions of the liquid crystal material can be induced to form refractive or lens shapes in the cladding that interact with a portion (e.g. evanescent) of light in the waveguide so as to permit electronic control of the refraction/bending, focusing, or defocusing of light as it travels through the waveguide. In one example, a waveguide may be formed using one or more patterned or shaped electrodes that induce formation of such refractive or lens shapes of liquid crystal material, or alternatively, an alignment layer may have one or more regions that define such refractive or lens shapes to induce formation of refractive or lens shapes of the liquid crystal material.

Abstract: Waveguide and associated methods for controlling an optical phase delay (OPD) of TE polarized light traveling along a propagation direction through a waveguide are disclosed. In one example, the method includes providing the waveguide with a core, at least one cladding; initially aligning at least a portion of the liquid crystal molecules in an initial orientation with their longitudinal axes oriented at an out-of-plane tilt angle, and their longitudinal axis oriented at an in-plane angle; providing the waveguide with a pair of electrodes for receiving a control signal; and applying the control signal to the pair of electrodes to rotate the liquid crystal molecules from the initial orientation, thereby controlling the optical phase delay of the TE polarized light traveling through the waveguide.

Abstract: Liquid crystal waveguides for dynamically controlling the refraction of light. Generally, liquid crystal materials may be disposed within a waveguide in a cladding proximate or adjacent to a core layer of the waveguide. In one example, portions of the liquid crystal material can be induced to form refractive or lens shapes in the cladding that interact with a portion (e.g. evanescent) of light in the waveguide so as to permit electronic control of the refraction/bending, focusing, or defocusing of light as it travels through the waveguide. In one example, a waveguide may be formed using one or more patterned or shaped electrodes that induce formation of such refractive or lens shapes of liquid crystal material, or alternatively, an alignment layer may have one or more regions that define such refractive or lens shapes to induce formation of refractive or lens shapes of the liquid crystal material.

Abstract: System and methods are provided for the definition and commoditization of a four-dimensional trajectory of airspace, i.e., a bundle of spatially-contiguous, three-dimensional volumetric units of airspace at distinct, finite, and contiguous periods of time. The three primary determinants of air transportation throughput, i.e., seat and freight capacity, runway environment capacity, and safe-separation airspace capacity, are individually defined and commoditized. In an illustrative implementation, parties may compete to offer units of safe-separation airspace capacity, which may be bundled together to form a four-dimensional trajectory, and/or runway environment capacity, which may collectively comprise a particular flight bundle. This flight bundle may then be sold on a commodities market to the highest-bidding seat and freight capacity provider.