Bandwidth adjustable euclidean modulation

1. A method for controlling an antenna having a plurality of radio frequency (RF) radiating antenna elements, the method comprising:

performing modulation for a frequency range that includes multiple frequency values, including determining a first set of modulation values for achievable modulation states associated with the frequency range;

mapping modulation values associated with the achievable modulation states to one or more control parameters, including mapping a desired modulation to the achievable modulation states based on Euclidian distance between required and achievable polarizabilities, and each of the achievable modulation states corresponds to voltages applied to the antenna elements of the antenna to induce magnetic dipole moments with achievable polarizabilities; and

controlling the radiating antenna elements using the one or more control parameters to perform beam forming.

2. The method of claim 1 wherein performing modulation for a frequency range occurs in response to determining instantaneous bandwidth (IBW) requirements would not be met by a beam formed by the antenna with a second set of modulation values.

3. The method of claim 2 wherein determining instantaneous bandwidth (IBW) requirements are not met by a beam formed by the antenna with a second set of modulation values is performed after determining gain is sufficient to allow for adjustments to the frequency range associated with the second set of modulation values in order to satisfy the IBW requirements.

4. The method of claim 1 wherein the RF radiating antenna elements comprise tunable elements in a metasurface and mapping the desired modulation to the achievable modulation states comprises approximating a set of required polarizabilities with a set of the tunable elements in the metasurface.

5. The method defined in claim 1 wherein the one or more control parameters comprise a voltage to be applied to each of the RF radiating antenna elements.

6. The method defined in claim 1 further comprising obtaining the desired modulation, wherein the desired modulation is based on one or more of: location of at least a subset of the RF radiating antenna elements, beam pointing direction and polarization, and wave propagation in a feed of the antenna.

7. An antenna comprising:

an antenna aperture having a plurality of RF radiating antenna elements;

a controller coupled to the antenna aperture and having modulation logic to perform modulation for a frequency range that includes multiple frequency values, the modulation logic operable to determine a first set of modulation values for achievable modulation states associated with the frequency range and map modulation values associated with the achievable modulation states to one or more control parameters, wherein the modulation logic is further operable to map a desired modulation to the achievable modulation states based on Euclidian distance between required and achievable polarizabilities, and each of the achievable modulation states corresponds to voltages applied to the antenna elements of the antenna to induce magnetic dipole moments with achievable polarizabilities; and

drive circuitry coupled to the antenna aperture and the controller to control the RF radiating antenna elements using the one or more control parameters to perform beam forming.

8. The antenna of claim 7 wherein the modulation logic is operable to perform modulation for a frequency range occurs in response to determining instantaneous bandwidth (IBW) requirements are not met by a beam formed by the antenna with a second set of modulation values.

9. The antenna of claim 8 wherein the modulation logic is operable to determine instantaneous bandwidth (IBW) requirements would not be met by a beam formed by the antenna with a second set of modulation values after determining gain is sufficient to allow for adjustments to the frequency range associated with the second set of modulation values in order to satisfy the IBW requirements.

10. The antenna of claim 7 wherein the RF radiating antenna elements comprise tunable elements in a metasurface and the modulation logic maps the desired modulation to the achievable modulation states by approximating a set of required polarizabilities with a set of the tunable elements in the metasurface.

11. The antenna defined in claim 7 wherein the one or more control parameters comprise a voltage to be applied to each of the RF radiating antenna elements.

12. The antenna defined in claim 7 wherein the modulation logic is further operable to obtain the desired modulation, wherein the desired modulation is based on one or more of: location of at least a subset of the RF radiating antenna elements, beam pointing direction and polarization, and wave propagation in a feed of the antenna.

13. One or more non-transitory computer readable storage media having instructions stored thereupon which, when executed by an antenna having at least a processor and a memory therein, cause antenna to perform operations comprising:

performing modulation for a frequency range that includes multiple frequency values, including determining a first set of modulation values for achievable modulation states associated with the frequency range;

mapping modulation values associated with the achievable modulation states to one or more control parameters, including mapping a desired modulation to the achievable modulation states based on Euclidian distance between required and achievable polarizabilities, and each of the achievable modulation states corresponds to voltages applied to the antenna elements of the antenna to induce magnetic dipole moments with achievable polarizabilities; and

controlling the radiating antenna elements using the one or more control parameters to perform beam forming.

14. The one or more non-transitory computer readable storage media of claim 13 wherein performing modulation for a frequency range occurs in response to determining instantaneous bandwidth (IBW) requirements would not be met by a beam formed by the antenna with a second set of modulation values.

15. The one or more non-transitory computer readable storage media of claim 14 wherein determining instantaneous bandwidth (IBW) requirements would not be met by a beam formed by the antenna with a second set of modulation values is performed after determining gain is sufficient to allow for adjustments to the frequency range associated with the second set of modulation values in order to satisfy the IBW requirements.