Abstract: A communications system comprises first signal processing circuitry for receiving a plurality of input data streams and applying a different orthogonal function to each of the plurality of input data streams. Second signal processing circuitry processes each of the plurality of input data streams having the different orthogonal function applied thereto to multiplex a first group of the plurality of input data streams having a first group of orthogonal functions applied thereto onto a carrier signal and to multiplex a second group of the plurality of input data streams having a second group of orthogonal functions applied thereto onto the carrier signal. A MIMO transmitter transmits the carrier signal including the first group of the plurality of input data streams having the first group of orthogonal functions applied thereto and the second group of the plurality of input data streams having the second group of orthogonal functions applied thereto over a plurality of separate communications links.

Abstract: A system for generating a light beam having a plurality of orthogonal function modes includes a light source for generating a plane wave light beam. A MicroElectroMechanical (MEM) system including an array of micro-mirrors for generating the light beam having the plurality of orthogonal function modes applied thereto responsive to the plane wave light beam and control signals for controlling the array of micro-mirrors. A controller generates the control signals to control a position of each of a plurality of micro-mirrors of the array of micro-mirrors. The controller controls the position of the micro-mirrors to generate a plurality of holograms for applying the plurality of orbital angular momentum modes to the plane wave light beam responsive to the control signals.

Abstract: A communications system comprises first circuitry for receiving and processing a plurality of data streams to associate with each of the plurality of data streams an orthogonal function to cause each of the plurality of data streams to be mutually orthogonal to each other on a link to enable transmission of each of the plurality of data streams on the link at a same time. First quantum key processing circuit generates a secret key for transmissions to second circuitry over the link using a quantum key generation process based on E91 protocol. The first quantum key processing circuit further encoding the plurality of data streams for transmission on the link using the generated secret key based on the E91 protocol. Third circuitry transmits the encoded plurality of data streams on the link.

Abstract: An apparatus that detects a material within a sample includes signal generation circuitry that generates a first light beam having at least one fractional orbital angular momentum applied thereto and applies the first light beam to the sample. The at least one fractional orbital angular momentum imparts a phase factor to the first light beam. The orbital angular momentum generation circuitry includes a spiral phase plate having fraction step height to impart the at least one angular momentum to the first light beam. A detector receives the first light beam after the first light beam passes through the sample and detects the material responsive to a detection of a predetermined phase factor within the first light beam received from the sample.

Abstract: An apparatus for measuring a concentration of amyloid-beta within a chiral solution includes signal generation circuitry for generating a first signal having an applied first orbital angular momentum signature and applying the first signal to the chiral solution. A detector for receiving the first signal after the first signal passes through the chiral solution and determining the concentration of amyloid-beta within the chiral solution based on a detected second orbital angular momentum signature received from the chiral solution that comprises an amplitude measurement and a phase measurement.

Abstract: A system includes first signal processing circuitry to transmit a signal including a plurality of data streams over a link. The first signal processing circuitry generates a plurality of composite data streams by overlaying at least one first data signal of the plurality of data signals in a first data layer with at least one second data signal of the plurality of data signals in a second data layer. Second circuitry processes the plurality of composite data streams to associate with each of the plurality of composite data streams a function to provide minimization of a time-bandwidth product of the plurality of composite data streams to enable transmission of each of the plurality of composite data streams on the link at a same time.

Abstract: An apparatus detects a material within a sample using signal generation circuitry that generates an orbital angular momentum (OAM) twisted light beam having at least one orbital angular momentum applied thereto. The signal generation circuitry applies the at least one OAM twisted light beam to the sample. The OAM twisted light beam includes at least one fractional OAM state, at least one intensity signature and at least one phase signature unique to the material within the sample. A detector receives the OAM twisted light beam after the OAM twisted light beam passes through the sample and detects the material responsive to a presence of a unique combination of the at least one fractional OAM state, the at least one intensity signature and the at least one phase signature.

Abstract: An apparatus for identifying a concentration of a specific material within a first material includes an input for receiving a signal after the signal passes through the first material. The signal has at least one orthogonal function therein and the at least one orthogonal function comprises at least one of an orbital angular momentum function or a Laguerre-Gaussian function. A detector detects the at least one orthogonal function within the signal, determines the concentration of the specific material within the first material based upon the detected at least one orthogonal function and generates an indication responsive to the determination. An output provides for an output of the generated indication.

Abstract: An apparatus for detecting a presence of a predetermined material within a sample uses signal generation circuitry for generating a first signal having a first distinct signature including a first eccentricity of a mode intensity, a first shift in a center of the mode intensity and a first rotation of an ellipsoidal intensity output of the mode intensity and applying the first signal to the sample. A detector receives the first signal after the first signal passes through the sample and detects a second distinct signature including a second eccentricity of the mode intensity, a second shift in the center of the mode intensity and a second rotation of the ellipsoidal intensity output of the mode intensity. The detector also determines the presence of the predetermined material within the sample based on the detected second distinct signature within the first signal received from the sample and provides an output of an indication of the presence of the predetermined material responsive to the determination.

Abstract: A system includes first signal processing circuitry to transmit a signal including a plurality of data streams over a link. The first signal processing circuitry generates a plurality of composite data streams by overlaying at least one first data signal of the plurality of data signals in a first data layer with at least one second data signal of the plurality of data signals in a second data layer. Second circuitry processes the plurality of composite data streams to associate with each of the plurality of composite data streams a function to provide minimization of a time-bandwidth product of the plurality of composite data streams to enable transmission of each of the plurality of composite data streams on the link at a same time.

Abstract: An apparatus for measuring a concentration of amyloid-beta within a sample includes signal generation circuitry and a detector. The signal generation circuitry generates a first signal having an applied first orbital angular momentum signature and applies the first signal to the sample. The detector receives the first signal after it passes through the sample and determines the concentration of the amyloid-beta within the sample based on a detected second orbital angular momentum signature within the first signal received from the sample. The detector provides an output of the determined concentration as an indication for determining an early onset of Alzheimer's.

Abstract: An apparatus detects a material within a sample using signal generation circuitry that generates an orbital angular momentum (OAM) twisted light beam having at least one orbital angular momentum applied thereto. The signal generation circuitry applies the at least one OAM twisted light beam to the sample. The OAM twisted light beam includes at least one fractional OAM state, at least one intensity signature and at least one phase signature unique to the material within the sample. A detector receives the OAM twisted light beam after the OAM twisted light beam passes through the sample and detects the material responsive to a presence of a unique combination of the at least one fractional OAM state, the at least one intensity signature and the at least one phase signature.

Abstract: An apparatus for performing an endoscopic procedure for detecting cancerous tissue includes a detection probe for detecting the cancerous tissue. The detection probe includes a first fiber for emitting an ultraviolet light beam having an orthogonal function applied thereto and a second fiber for receiving emissions from tissues responsive to the ultraviolet light beam emitted for the first fiber. An ultraviolet emission source generates the ultraviolet light beam. Orthogonal function circuitry applies the orthogonal function twist to the ultraviolet light beam. Detection circuitry detects fluorescence and orthogonal function within the emissions from the tissues received over the second fiber.

Abstract: An apparatus that measures a concentration of a material within a sample includes signal generation circuitry that generates a first signal having at least one orthogonal function applied thereto and applies the first signal to the sample. A detector receives the first signal after the first signal passes through the sample and determines the concentration of the material within the sample based on a detected orthogonal function within the first signal received from the sample.

Abstract: A communications system includes RF processing circuitry for receiving a plurality of data streams and processing the plurality of data streams to associate with each of the plurality of data streams an orthogonal function to cause each of the plurality of data streams to be mutually orthogonal to each other on an RF link to enable transmission of each of the plurality of data streams on the RF link at a same time. Optical processing circuitry receives the plurality of data streams and processes the plurality of data streams to associate with each of the plurality of data streams the orthogonal function to cause each of the plurality of data streams to be mutually orthogonal to each other on an optical link to enable transmission of each of the plurality of data streams on the optical link at a same time. Switching circuitry multiplexes between the RF link and the optical link responsive to operating conditions on the RF link and the optical link.

Abstract: An apparatus for performing an endoscopic procedure for detecting cancerous tissue includes a detection probe for detecting the cancerous tissue. The detection probe includes a first fiber for emitting an ultraviolet light beam having an orthogonal function applied thereto and a second fiber for receiving emissions from tissues responsive to the ultraviolet light beam emitted for the first fiber. An ultraviolet emission source generates the ultraviolet light beam. Orthogonal function circuitry applies the orthogonal function twist to the ultraviolet light beam. Detection circuitry detects fluorescence and orthogonal function within the emissions from the tissues received over the second fiber.

Abstract: An apparatus detects a material within a sample and includes signal generation circuitry that generates a first light beam having at least one orbital angular momentum applied thereto and applies the first beam to the sample. The orbital angular momentum imparts a phase factor of exp(im?), where m is at least one of an integer value or fractional value and ? is the azimuth angle, to the first light beam. A detector receives the first light beam after the first light beam passes through the sample and detects the material responsive to a detection of a predetermined phase factor within the first light beam received from the sample.

Abstract: An apparatus for detecting a presence of a predetermined material within a sample uses signal generation circuitry for generating a first signal having a first distinct signature including a first eccentricity of a mode intensity, a first shift in a center of the mode intensity and a first rotation of an ellipsoidal intensity output of the mode intensity and applying the first signal to the sample. A detector receives the first signal after the first signal passes through the sample and detects a second distinct signature including a second eccentricity of the mode intensity, a second shift in the center of the mode intensity and a second rotation of the ellipsoidal intensity output of the mode intensity. The detector also determines the presence of the predetermined material within the sample based on the detected second distinct signature within the first signal received from the sample and provides an output of an indication of the presence of the predetermined material responsive to the determination.

Abstract: A system includes an interface for receiving a plurality of data streams from a plurality of data sources. A multiplexor groups the plurality of data streams into a plurality of groups. A plurality of orthogonal frequency division multiplexing (OFDM) processing circuitries apply a same OFDM processing to each of the plurality of groups using a same combination of frequency and time slot combinations on each of the plurality of groups. A modulator modulates each of the OFDM processed groups onto a same signal bandwidth by applying a different, unique orthogonal function to each of the OFDM processed groups. The unique orthogonal functions defined by a path on and between the surfaces of a plurality of concentric orthogonal state spheres defining each of the different, unique orthogonal functions.

Abstract: A communications system includes RF processing circuitry for receiving a plurality of data streams and processing the plurality of data streams to associate with each of the plurality of data streams an orthogonal function to cause each of the plurality of data streams to be mutually orthogonal to each other on an RF link to enable transmission of each of the plurality of data streams on the RF link at a same time. Optical processing circuitry receives the plurality of data streams and processes the plurality of data streams to associate with each of the plurality of data streams the orthogonal function to cause each of the plurality of data streams to be mutually orthogonal to each other on an optical link to enable transmission of each of the plurality of data streams on the optical link at a same time. Switching circuitry multiplexes between the RF link and the optical link responsive to operating conditions on the RF link and the optical link.