Systems and methods for focusing beams with mode division multiplexing
A system and method for focusing an orthogonal function multiplexed beam receives an orthogonal function multiplexed signal from a data processing source. The orthogonal function multiplexed signal includes a plurality of data streams each having a unique orthogonal function applied thereto and multiplexed together within the orthogonal function multiplexed signal. The orthogonal function multiplexed signal passes through a pair of focusing lenses to focus the orthogonal function multiplexed signal on a predetermined focused point. A distance between the pair of focusing lenses is controlled to cause the orthogonal function multiplexed signal to focus at the predetermined focus point. The orthogonal function multiplexed signals are transmitted from a transmitter toward the focus point at a receiver aperture of a receiver as a transmission beam.
1. A method for focusing a Hermite-Gaussian function multiplexed beam, comprising:
receiving a Hermite-Gaussian function multiplexed signal from a data processing source, the Hermite-Gaussian function multiplexed signal including a plurality of data streams each having a unique Hermite-Gaussian function applied thereto and multiplexed together within the Hermite-Gaussian function multiplexed signal, each unique Hermite-Gaussian function having a beam helicity value greater than l=2;
splitting the Hermite-Gaussian function multiplexed signal into a plurality of Hermite-Gaussion function multiplexed signals;
providing each of the plurality of Hermite-Gaussion function multiplexed signals to a transmitting antenna of a plurality of transmitting antennas of an antenna array;
controlling a timing of transmissions of each of the plurality of Hermite-Gaussion function multiplexed signals from an associated transmitting antenna of the plurality of transmitting antennas to cause a transmitted plurality of Hermite-Gaussian function multiplexed signals to focus at a predetermined focus point at substantially a same time to overcome a divergence of the transmitted plurality of Hermite-Gaussian function multiplexed signals caused by the beam helicity value of greater than l=2 for each of the unique Hermite-Gaussian functions; and
transmitting the plurality of Hermite-Gaussian function multiplexed signals from the antenna array as a transmission beam.
2. The method of claim 1 , wherein the transmission beam comprises an RF transmission beam.
3. The method of claim 1 , wherein the step of transmitting further comprises transmitting the Hermite-Gaussian function multiplexed signal toward a focus point located below ground as the transmission beam.
4. The method of claim 1 further including:
receiving a plurality of data streams;
modulating each of the plurality of data streams;
applying the unique Hermite-Gaussian function to each of the modulated plurality of data streams; and
multiplexing each of the unique Hermite-Gaussian function applied modulated data streams into the Hermite-Gaussian function multiplexed signal.
5. A system for focusing an orthogonal function multiplexed beam, comprising:
processing circuitry for generating a Hermite-Gaussian function multiplexed signal including a plurality of data streams each having a unique Hermite-Gaussian function applied thereto and multiplexed together within the Hermite-Gaussian function multiplexed signal, each of the Hermite-Gaussian function having a beam helicity value greater than l=2;
a plurality of antennas comprising an antenna array;
a transmitter for transmitting the Hermite-Gaussian function multiplexed signal from the antenna array as a transmission beam;
a transmitter control circuit for splitting the Hermite-Gaussian function multiplex signal into a plurality of Hermite-Gaussian function multiplexed signals and controlling a timing of the transmissions of each of the plurality of Hermite-Gaussian function multiplexed signals from an associated transmitting antenna of the plurality of antennas to focus the Hermite-Gaussian function multiplexed signal onto a predetermined focus point at substantially a same time to overcome a divergence of the transmitted plurality of Hermite-Gaussian function multiplexed signals caused by the beam helicity value of greater than l=2 for each of the unique Hermite-Gaussian functions.
6. The system of claim 5 , wherein the transmission beam comprises an RF transmission beam.
7. The system of claim 5 , wherein the transmitter transmits the Hermite-Gaussian function multiplexed signal toward a focus point located below the ground as the transmission beam.
8. The system of claim 5 , wherein the processing circuitry further receives a plurality of data streams, modulates each of the plurality of data streams, applies the unique Hermite-Gaussian function to each of the plurality of modulated data streams and multiplexes each of the unique Hermite-Gaussian function data streams into the Hermite-Gaussian multiplexed signal.
9. A method for focusing an orthogonal function multiplexed beam, comprising:
receiving a Hermite-Gaussian function multiplexed signal from a data processing source, the Hermite-Gaussian function multiplexed signal including a plurality of data streams each having a unique Hermite-Gaussian function applied thereto and multiplexed together within the Hermite-Gaussian function multiplexed signal;
splitting the Hermite-Gaussian function multiplexed signal into a plurality of Hermite-Gaussion function multiplexed signals;
providing each of the plurality of Hermite-Gaussion function multiplexed signals to a transmitting antenna of a plurality of transmitting antennas of an antenna array;
controlling a timing of transmissions of each of the plurality of Hermite-Gaussion function multiplexed signals from an associated transmitting antenna of the plurality of transmitting antennas to cause a transmitted plurality of Hermite-Gaussian function multiplexed signals to focus at a predetermined focus point at substantially a same time to overcome a divergence of the transmitted plurality of Hermite-Gaussian function multiplexed signals; and
transmitting the Hermite-Gaussian function multiplexed signals from the antenna array as a transmission beam.
10. The method of claim 9 , wherein the transmission beam comprises an RF transmission beam.
11. The method of claim 9 , wherein the step of transmitting further comprises transmitting the Hermite-Gaussian function multiplexed signal toward a focus point located below ground as the transmission beam.
12. The method of claim 9 further including:
receiving a plurality of data streams;
modulating each of the plurality of data streams;
applying the unique Hermite-Gaussian function to each of the modulated plurality of data streams; and
multiplexing each of the unique Hermite-Gaussian function applied modulated data streams into the Hermite-Gaussian function multiplexed signal.
13. A transmitter, comprising:
an interface for receiving a Hermite-Gaussian function multiplexed signal from a data processing source, the Hermite-Gaussian function multiplexed signal including a plurality of data streams each having a unique Hermite-Gaussian function applied thereto and multiplexed together within the Hermite-Gaussian function multiplexed signal;
a plurality of antennas comprising an antenna array;
transmission circuitry for transmitting the Hermite-Gaussian function multiplexed signal from the antenna array; and
a transmitter control circuit for splitting the Hermite-Gaussian function multiplex signal into a plurality of Hermite-Gaussian function multiplexed signals and controlling a timing of transmissions of each of the plurality of Hermite-Gaussian function multiplexed signals from an associated transmitting antenna of the plurality of the plurality of antennas to cause the transmitted Hermite-Gaussian function multiplexed signals to focus the Hermite-Gaussian function multiplexed signal onto a predetermined focus point located below ground at substantially a same time to overcome a divergence of the transmitted plurality of Hermite-Gaussian function multiplexed signals.