Near field communication (NFC) is a wireless communication technology that enables a short communication between devices. The use of NFC has been recently popular for very short distance and small size data transfer. The multimedia application demands this technology to provide for various features, such as fast data transfer, non-contact payment, ticketing, and access to multimedia data content as well. To build an NFC system, a reasonable performance of an antenna is important for wireless connectivity between devices. We have designed a planar THz antenna combined with a modified ground to increase gain by considering the substrate material of Epoxy FR-4 at a resonant frequency of 0.35 THz. This design is intended to cover a distance up to 10 cm and at least 20 Gbps data rates. The antenna has a bandwidth, gain, and beam-width for vertical and horizontal more than 10 GHz, 0.16 dB, and 26 degrees, respectively. The THz region is considered due to its potential to provide high bandwidth. In this research, we study wave propagation in between transmitter and receiver antenna conducted with CST Microwave Studio to analyze the effectiveness of wave transmission of a THz system using the designed antenna. A sensitivity threshold is considered as minimum power should be received by the receiver. The simulation result shows that the designed antenna is able to reach up to 10 cm. However, the received power is fluctuating for the closer distance due to still in the near-field region. Further investigation is necessary to understand practical issues compared with an ideal propagation condition.