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Recently, observational searches for gravitational wave background (GWB) havebeen developed and given constraints on the energy density of GWB in a broadrange of frequencies. These constraints have already resulted in the rejectionof some theoretical models of relatively large GWB spectra. However, at 100MHz, there is no strict upper limit from direct observation, though an indirectlimit exists due to He4 abundance due to big-bang nucleosynthesis. In ourprevious paper, we investigated the detector designs that can effectivelyrespond to GW at high frequencies, where the wavelength of GW is comparable tothe size of a detector, and found that the configuration, a so-calledsynchronous-recycling interferometer is best at these sensitivity. In thispaper, we investigated the optimal location of two synchronous-recyclinginterferometers and derived their cross-correlation sensitivity to GWB. Wefound that the sensitivity is nearly optimized and hardly changed if twocoaligned detectors are located within a range 0.2 m, and that the sensitivityachievable in an experiment is far below compared with the constraintpreviously obtained in experiments.

Optimal Location of Two Laser-interferometric Detectors for Gravitational Wave Backgrounds at 100 MHz