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The DECi-hertz Interferometer Gravitational wave Observatory (DECIGO) isdesigned to detect gravitational waves at frequencies between 0.1 and 10 Hz. Inthis frequency band, one of the most important science targets is the detectionof primordial gravitational waves. DECIGO plans to use a space interferometerwith optical cavities to increase its sensitivity. For evaluating itssensitivity, diffraction of the laser light has to be adequately considered.There are two kinds of diffraction loss: leakage loss outside the mirror andhigher-order mode loss. These effects are treated differently inside andoutside of the Fabry-Perot (FP) cavity. We estimated them under the conditionsthat the FP cavity has a relatively high finesse and the higher-order modes donot resonate. As a result, we found that the effects can be represented as areduction of the effective finesse of the cavity with regard to quantum noise.This result is useful for optimization of the design of DECIGO. This method isalso applicable to all FP cavities with a relatively high finesse andsignificant diffraction loss in any interferometer.

Quantum noise in a Fabry-Perot interferometer including the influence of diffraction loss of light