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Open AccessDOI: 10.1631/FITEE_2400700Original Research

Design of omnidirectional Rydberg atomic sensors loaded with electric field enhancement structure using characteristic mode analysis

Zhenke DING¹,Yi LIU¹,Bo WU¹,Kai YANG¹,Ruibing RAN¹,Yi LIN¹,Yunqi FU¹

College of Electronic Science and Technology, National University of Defense Technology, Changsha 410073, China

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Design of omnidirectional Rydberg atomic sensors loaded with electric field enhancement structure using characteristic mode analysis
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Published In
Frontiers of Information Technology & Electronic Engineering
Published:July 18, 2025Edition:Vol. 32, Issue 7 • pp. 438-450Citation:Zhenke DING et al. (2025), Frontiers of Information Technology & Electronic Engineering
Impact Factor2.7 (Q2 - Springer)
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Keywords & Index Terms:Rydberg atomic sensorcharacteristic mode analysiselectric field enhancement structureomnidirectional sensingquantum precision measurementmicrowave electric field measurementpattern analysis

Key Takeaways & Executive Findings

  • • Characteristic mode analysis enables efficient and accurate prediction of omnidirectional reception patterns for Rydberg atomic sensors without full-wave simulations. • The analytical modal coefficient representation dramatically reduces computational complexity for analyzing electric field enhancement structures. • Three prototypes validate the method; the final design achieves a 25 dB electric field gain and 2.4 dB out-of-roundness at 1.96 GHz. • The proposed approach provides actionable design guidance for omnidirectional Rydberg sensors, advancing quantum precision measurement technology.
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Abstract

The integration of electric field enhancement structures (EFESs) with Rydberg atomic sensors (RASs) has garnered considerable interest due to their potential to enhance detection sensitivity in quantum measurement systems. Despite this, there is a dearth of research on the directional response of EFES, and the analysis of the three-dimensional (3D) patterns of RAS remains a formidable challenge. RASs are employed in non-destructive measurement techniques, and are responsive to electric fields, primarily serving as reception devices. However, analyzing their reception patterns is a complex task that requires a sophisticated approach. To address this, we adopt characteristic mode (CM) analysis to illustrate the omnidirectional performance of RAS. According to the CM theory, the reception pattern can be calculated by a series of modal currents and their corresponding coefficients. The analytical representation of these coefficients negates the need for time-consuming full-wave (FW) numerical simulations, which are typically required to generate EFES patterns due to the necessity of scanning numerous angle parameters. This approach significantly reduces the complexity of solving EFES patterns, and provides insightful guidance for the design process. To validate the efficacy of our proposed method, we construct three prototypes. The results indicate that the final model resonates at 1.96 GHz, achieving an electric field gain of 25 dB and an out-of-roundness of 2.4 dB. These findings underscore the effectiveness of our method in analyzing EFES patterns, highlighting its potential for future applications in the field.

1. Introduction

Quantum precision measurement technology based on quantum theory provides a novel pathway for measuring physical parameters. This technology has the characteristic of self-calibration, and enables the absolute measurement of physical quantities (Sedlacek et al., 2012). Over the past decade, researchers have been exploring its application in microwave electric field measurement, with the most typical being Rydberg atom-based electric field measurement technology (Sedlacek et al., 2012, 2013; Holloway et al., 2014; Yang et al., 2022; Zhang FS et al., 2023). The theoretical detection sensitivity of microwave electric field measurement based on quantum theory is higher than that of traditional electronic microwave measurement systems (Fan et al., 2015). However, there is still a significant gap between the measurement values of detection sensitivity and the theoretical values (Dixon et al., 2023; Mao et al., 2023; Zhang FS et al., 2023; Sandidge et al., 2024; Yuan et al., 2024).

Rydberg atom-based microwave electric field measurement principles provide avenues for improving detection sensitivity, with two main approaches: quantum optical methods (Bussey et al., 2021; Liu et al., 2022; Yang et al., 2023b) and microwave methods (Holloway et al., 2022; Wu et al., 2022, 2023; Yang et al., 2023c). Recent advancements in microwave methods, including heterodyne detection (Simons et al., 2021; Yao et al., 2022), modulation signals (Meyer et al., 2018; Holloway et al., 2019; Jiao et al., 2019; Song et al., 2019; Yang et al., 2023a), multi-channel detection (Robinson et al., 2021; Hu et al., 2023), and the electric field enhancement structures (EFESs) loaded method (Holloway et al., 2022; Yang et al., 2023c; Sandidge et al., 2024), have shown promise in improving the detection sensitivity of Rydberg atom-based systems. EFESs act as a special boundary condition added to the Rydberg atomic sensors (RASs), thereby altering the electric field response of the sensors to incident waves. EFES can enhance the electric field in a specific area, thus improving detection sensitivity. It should be noted that the difference between the RASs and antennas is that RASs respond to the electric field in space rather than capturing the electromagnetic power density. Therefore, RASs do not prioritize impedance matching when receiving microwave but concentrate on the degree of electric field enhancement.

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Cite This Research Paper
Zhenke DING, Yi LIU, Bo WU, Kai YANG, Ruibing RAN, Yi LIN, Yunqi FU (2025). Design of omnidirectional Rydberg atomic sensors loaded with electric field enhancement structure using characteristic mode analysis. Frontiers of Information Technology & Electronic Engineering. https://doi.org/10.1631/FITEE_2400700
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Frequently Asked Questions

What is a Rydberg atomic sensor?

A Rydberg atomic sensor (RAS) is a quantum device that uses Rydberg atoms to measure electric fields. Unlike conventional antennas that capture power density, RASs respond to the electric field in space, enabling self-calibrated, absolute measurements of microwave fields.

How does characteristic mode analysis benefit RAS design?

Characteristic mode (CM) analysis calculates reception patterns through a series of modal currents and coefficients, eliminating the need for time-consuming full-wave simulations. This greatly simplifies the analysis of electric field enhancement structures and provides clear design guidance.

What performance did the proposed prototypes achieve?

The final prototype resonated at 1.96 GHz, achieving an electric field gain of 25 dB and an out-of-roundness of 2.4 dB, demonstrating effective omnidirectional performance.

Why are electric field enhancement structures used in Rydberg sensors?

Electric field enhancement structures (EFESs) act as boundary conditions that concentrate the electric field in a specific area, thereby increasing the detection sensitivity of Rydberg atomic sensors. This approach is one of the key microwave methods for improving sensitivity.

How do Rydberg sensors differ from traditional antennas?

Rydberg atomic sensors respond to the electric field in space rather than capturing electromagnetic power density. They prioritize electric field enhancement over impedance matching when receiving microwaves.

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