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Mid-frequency band gravitational-wave detectors will be complementary for theexisting Earth-based detectors (sensitive above 10 Hz or so) and the futurespace-based detectors such as LISA, which will be sensitive below around 10mHz. A ground-based superconducting omnidirectional gravitational radiationobservatory (SOGRO) has recently been proposed along with several designvariations for the frequency band of 0.1 to 10 Hz. For three conceptual designsof SOGRO (e.g., pSOGRO, SOGRO and aSOGRO), we examine their multi-channelnatures, sensitivities and science cases. One of the key characteristics of theSOGRO concept is its six detection channels. The response functions of eachchannel are calculated for all possible gravitational wave polarizationsincluding scalar and vector modes. Combining these response functions, we alsoconfirm the omnidirectional nature of SOGRO. Hence, even a single SOGROdetector will be able to determine the position of a source and polarizationsof gravitational waves, if detected. Taking into account SOGRO's sensitivityand technical requirements, two main targets are most plausible: gravitationalwaves from compact binaries and stochastic backgrounds. Based on assumptions weconsider in this work, detection rates for intermediate-mass binary black holes(in the mass range of hundreds up to $10^{4}$ $M_\odot$) are expected to be$0.0014-2.5 \,\, {\rm yr}^{-1}$. In order to detect stochastic gravitationalwave background, multiple detectors are required. Two aSOGRO detector networksmay be able to put limits on the stochastic background beyond the indirectlimit from cosmological observations.

A superconducting tensor detector for mid-frequency gravitational waves: its multi-channel nature and main astrophysical targets