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Multi-normal-mode splitting peaks are experimentally observed in a systemwith Doppler-broadened two-level atoms inside a relatively long optical cavity.In this system, the atoms-cavity interaction can reach the ``superstrongcoupling" condition with atoms-cavity coupling strength $g\sqrt{N}$ to be nearor larger than the cavity free-spectral range $\Delta_{FSR}$. In such case,normal-mode splitting can occur in many cavity longitudinal modes to generatethe multi-normal-mode splitting peaks, which can be well explained by thelinear dispersion enhancement due to the largely increased atomic density inthe cavity. Many new interesting phenomena might come out of this superstrongatoms-cavity coupling regime.

Multi-normal-mode splitting of a cavity in the presence of atoms -- towards the superstrong coupling regime