Synthetic complex-frequency-wave electron-beam spectroscopy

Retrieves resonances buried under zero-loss peak

Introduces virtual gain to free electrons to compensate sample losses, revealing previously obscured spectral features.

Xie, Zetao · Zeling, Chen · Yang, Shu · Chen, Yiqin · Duan, Huigao · Zhang, Shuang · Yang, Yi

Nature Communications 2026

Advantages

Retrieves resonance excitation completely buried underneath the zero-loss peak

Substantially enhances hyperspectral imaging quality

Resolves entangled multiple-photon-electron events in quantum interaction