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Main Authors: Elgee, Peter K., Cox, Kevin C., Hill, Joshua C., Kunz, Paul D., Meyer, David H.
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2503.04670
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author Elgee, Peter K.
Cox, Kevin C.
Hill, Joshua C.
Kunz, Paul D.
Meyer, David H.
author_facet Elgee, Peter K.
Cox, Kevin C.
Hill, Joshua C.
Kunz, Paul D.
Meyer, David H.
contents We present an electrically-small Rydberg atom electric field sensor with the ability to extract the three-dimensional $k$-vector of an elliptically polarized radio frequency (rf) field. In most mediums, the $k$-vector (or wave vector) provides the direction of propagation of an electromagnetic wave. Our method uses a field vector measurement at a single point in space and is thus compatible with a sensor volume that is arbitrarily small compared to the carrier wavelength. We measure the $k$-vector of a circularly polarized signal field with average absolute errors in the polar and azimuthal angles of $33~\text{mrad}$ and $43~\text{mrad}$ respectively, and statistical noise of $1.3~\text{mrad}/\sqrt{\text{Hz}}$ and $1.5~\text{mrad}/\sqrt{\text{Hz}}$. Additionally, we characterize the performance of the sensor as a function of the ellipticity of the input field and the size of the sensing region. We find that the sensor works over a broad range of ellipticities and validate that an electrically-small sensing region is optimal.
format Preprint
id arxiv_https___arxiv_org_abs_2503_04670
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Electrically-Small Rydberg Sensor for Three-Dimensional Determination of rf k-Vectors
Elgee, Peter K.
Cox, Kevin C.
Hill, Joshua C.
Kunz, Paul D.
Meyer, David H.
Atomic Physics
Quantum Physics
We present an electrically-small Rydberg atom electric field sensor with the ability to extract the three-dimensional $k$-vector of an elliptically polarized radio frequency (rf) field. In most mediums, the $k$-vector (or wave vector) provides the direction of propagation of an electromagnetic wave. Our method uses a field vector measurement at a single point in space and is thus compatible with a sensor volume that is arbitrarily small compared to the carrier wavelength. We measure the $k$-vector of a circularly polarized signal field with average absolute errors in the polar and azimuthal angles of $33~\text{mrad}$ and $43~\text{mrad}$ respectively, and statistical noise of $1.3~\text{mrad}/\sqrt{\text{Hz}}$ and $1.5~\text{mrad}/\sqrt{\text{Hz}}$. Additionally, we characterize the performance of the sensor as a function of the ellipticity of the input field and the size of the sensing region. We find that the sensor works over a broad range of ellipticities and validate that an electrically-small sensing region is optimal.
title Electrically-Small Rydberg Sensor for Three-Dimensional Determination of rf k-Vectors
topic Atomic Physics
Quantum Physics
url https://arxiv.org/abs/2503.04670