A TEM horn antenna with non-uniform expansion to modify the radiation characteristics, operating from 1.4 to 11 GHz in oil medium is introduced. Main lobe radiation pattern ripple at higher frequencies which are the problem of conventional TEM horn antenna is suppressed. The expansions coefficient is tuned using CST Microwave Studio to achieve good return loss (less than 10dB) and radiation pattern. The horn is utilized as a part of an ultra-wideband radar system to monitor oil well with no metal casing.