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New readout configurations for a Fabry-Perot (FP) resonator (or frequency discriminator) that combine the reflected and transmitted waves are analyzed in detail. The waves may be combined in a Sagnac (S) or Mach-Zehnder (MZ) configuration and tuned to a dark port (DP) to suppress the carrier frequency. To achieve this in a standard FP resonator, the mirror reflectance must be extremely well matched, which is a difficult and expensive task. Suppressing the carrier minimizes the Shot noise floor of a Pound-Drever-Hall (PDH) frequency-stabilized laser. Moreover, depending on the amount of carrier suppression, a high amount of power may be injected into the resonator without saturating or destroying the photodetector at the discriminator output. Because the sensitivity of the frequency discriminator is also proportional to the injected power, a large improvement in frequency noise can be achieved for high power PDH-stabilized lasers utilizing only a small phase modulation index.