Terahertz (THz) imaging technology has rapidly developed in recent years. Its significant advantages over old imaging technologies such as X-Ray and microwave enables it for future imaging technology. THz imaging offers promising applications in the field of security and medical, such as concealed weapon scanner and cancer detectors. A THz wave detector as one of the main elements in THz technology is necessary to absorb energy radiated from the source. The impedance parameter is a parameter that should be in a matching condition between the receiver antenna and its connected transmission line or another component. In this paper, we study an antenna-coupled bolometer design as a detector of 1 THz radiation wave. The combination of a bolometer and an antenna is expected to provide a THz wave sensor in room temperature. A bowtie antenna structure is applied to achieve 1 THz frequency radiation to obtain broad bandwidth. The surface current parameter is considered to represent energy transfer and collection in the bolometer. From the simulation results, the surface current in the bolometer part is affected by its dimension. The surface current in the bolometer has its peak value at the boundary between the antenna and the bolometer. This condition is due to mismatching condition between the two components. Therefore, the impedance should be in matching condition between the bolometer and bowtie antenna to obtain sufficient energy transferred into the bolometer. Thus, the bolometer design should meet the required impedance matching. Further study on different conductivity of different materials is also necessary to obtain desired bolometer impedance.