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We consider N identical two-level atoms coupled to an optical cavity, whichis coherently driven by an external field. In the limit of small atomicexcitation, the reflection and transmission coefficients for both fields andintensities are calculated analytically. In addition, the frequency content ofthe cavity field and hence also the emission spectrum of the cavity isdetermined. It is discussed in particular how individual collisional dephasingand common atomic energy-level fluctuations prevent the cavity field from beingin a coherent state, which in turn affects the outgoing fields.

Reflectivity and transmissivity of an optical cavity coupled to two-level atoms: Coherence properties and the influence of atomic phase noise