• 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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