Characterizing radio frequency sources using vapor cell sensors
In a general aspect, vapor cells are used to characterize radio frequency sources. In some aspects, a system includes a vapor cell sensor system and a signal processing system. The vapor cell sensor system has one or more vapor cells that can be positioned at an array of locations. The vapor cell sensor system generates output signals based on operating the one or more vapor cells in a radiating near-field region of an RF field. The signal processing system is configured to generate measurement data based on the output signals; the measurement data represents measured intensities of the RF field in the radiating near-field region. The signal processing system is also configured to generate a model of the RF field based on the measurement data. The model includes modeled intensities of the RF field in the radiating near-field region and a far-field region of the RF field.
1 . A system comprising:
a vapor cell sensor system comprising one or more vapor cells that are configured to be positioned at an array of locations, the vapor cell sensor system configured to generate output signals based on operating the one or more vapor cells at the array of locations in a radiating near-field region of an RF field produced by an RF source; and
a signal processing system configured to perform operations that comprise:
generating, based on the output signals, measurement data representing measured intensities of the RF field in the radiating near-field region; and
generating, based on the measurement data, a model of the RF field produced by the RF source, the model comprising modeled intensities of the RF field in the radiating near-field region and a far-field region of the RF field.
2 . The system of claim 1 ,
wherein the array of locations corresponds to first and second measurement domains in a Fresnel region of the RF field, the Fresnel region being part of the radiating near-field region; and
wherein the measurement data represent measured intensities of the RF field on the first and second measurement domains.
3 . The system of claim 2 ,
wherein the first measurement domain corresponds to a first surface, and the second measurement domain corresponds to a second surface; and
wherein the first and second surfaces are separated by a distance greater than or equal to a wavelength of the RF field.
4 . The system of claim 3 , wherein the first and second surfaces are planar surfaces.
5 . The system of claim 3 , wherein the first and second surfaces are planar surfaces that are parallel to each other.
6 . The system of claim 3 ,
wherein generating the model comprises projecting the measured intensities to a third surface in a Fraunhofer region of the RF field, the Fraunhofer region being part of the far-field region; and
wherein the model comprises modeled intensities of the RF field at a plurality of locations on the third surface.
7 . The system of claim 3 ,
wherein the model comprises modeled phases of the RF field on the first and second surfaces; and
wherein generating the model comprises using a phase retrieval algorithm to generate the modeled phases based on the measurement data.
8 . The system of claim 7 , wherein generating the model comprises:
selecting boundary data comprising the measured intensities and the modeled phases of the RF field on at least one of the first and second surfaces; and
using an RF diffraction model to generate the modeled intensities of the RF field in one or both of the radiating near-field region and the far-field region based on the boundary data.
9 . The system of claim 1 , wherein the model comprises modeled intensities of the RF field at a plurality of points that represent an emission pattern of the RF source.
10 . The system of claim 1 , wherein the one or more vapor cells is a first vapor cell, and the vapor cell sensor system comprises an actuator system that is configured to move the first vapor cell to each location in the array of locations.
11 . The system of claim 1 , wherein the one or more vapor cells is a plurality of vapor cells, and the vapor cell sensor system comprises a mount that is configured to hold the plurality of vapor cells at respective locations of at least a portion of the array of locations.
12 . The system of claim 1 , wherein the one or more vapor cells are each configured to generate optical signals in response to receiving laser signals from a laser system, the optical signals based on transmission of the laser signals through a vapor of the vapor cell, the vapor configured to alter a transmission of the laser signals in response to interacting with the RF field produced by the RF source.
13 . The system of claim 12 ,
wherein the vapor cell sensor system comprises an optical detector that is configured to generate the output signals in response to receiving the optical signals from the one or more vapor cells, the optical signals having respective intensities that are represented by the output signals; and
wherein the signal processing system is configured to receive the output signals from the optical detector.
14 . A method comprising:
generating output signals by operating one or more vapor cells of a vapor cell sensor system at an array of locations in a radiating near-field region of an RF field, the RF field produced by an RF source; and
by operation of a signal processing system:
generating, based on the output signals, measurement data representing measured intensities of the RF field in the radiating near-field region, and
generating, based on the measurement data, a model of the RF field produced by the RF source, the model comprising modeled intensities of the RF field in the radiating near-field region and a far-field region of the RF field.
15 . The method of claim 14 ,
wherein the array of locations corresponds to first and second measurement domains in a Fresnel region of the RF field, the Fresnel region being part of the radiating near-field region; and
wherein the measurement data represent measured intensities of the RF field on the first and second measurement domains.
16 . The method of claim 15 ,
wherein the first measurement domain corresponds to a first surface, and the second measurement domain corresponds to a second surface; and
wherein the first and second surfaces are separated by a distance greater than or equal to a wavelength of the RF field.
17 . The method of claim 16 , wherein the first and second surfaces are planar surfaces.
18 . The method of claim 16 , wherein the first and second surfaces are planar surfaces that are parallel to each other.
19 . The method of claim 16 ,
wherein generating the model comprises projecting the measured intensities to a third surface in a Fraunhofer region of the RF field, the Fraunhofer region being part of the far-field region; and
wherein the model comprises modeled intensities of the RF field at a plurality of locations on the third surface.
20 . The method of claim 16 ,
wherein the model comprises modeled phases of the RF field on the first and second surfaces; and
wherein generating the model comprises using a phase retrieval algorithm to generate the modeled phases based on the measurement data.
21 . The method of claim 20 , wherein generating the model comprises:
selecting boundary data comprising the measured intensities and the modeled phases of the RF field on at least one of the first and second surfaces; and
using an RF diffraction model to generate the modeled intensities of the RF field in one or both of the radiating near-field region and the far-field region based on the boundary data.
22 . The method of claim 14 , wherein the model comprises modeled intensities of the RF field at a plurality of points that represent an emission pattern of the RF source.
23 . The method of claim 14 ,
wherein the one or more vapor cells is a first vapor cell;
wherein the vapor cell sensor system comprises an actuator system that is configured to move the first vapor cell; and
wherein the method comprises moving, by operation of the actuator system, the first vapor cell to each location in the array of locations.
24 . The method of claim 14 , wherein the one or more vapor cells is a plurality of vapor cells, and the vapor cell sensor system comprises a mount that is configured to hold the plurality of vapor cells at respective locations of at least a portion of the array of locations.
25 . The method of claim 14 , wherein generating the output signals comprises:
generating, by operation of each vapor cell, respective optical signals in response to receiving laser signals at the vapor cell from a laser system, the respective optical signals based on transmission of the laser signals through a vapor of the vapor cell, the vapor configured to alter a transmission of the laser signals in response to interacting with the RF field produced by the RF source.
26 . The method of claim 25 ,
wherein the vapor cell sensor system comprises an optical detector;
wherein generating the output signals comprises generating, by operation of the optical detector, the output signals in response to receiving the optical signals at the optical detector from the one or more vapor cells, the optical signals having respective intensities that are represented by the output signals; and
wherein the method comprises receiving the output signals at the signal processing system from the optical detector.