Advances and Applications in Mathematical Sciences Volume 19, Issue 5, March 2020, Pages 301-308 © 2020 Mili Publications 2010 Mathematics Subject Classification: 78A50. Keywords: Microstrip Patch Antenna; IMT Service; Finite Element Method; EHF or VHF; GSM; return loss; Received June 28, 2019; Accepted December 16, 2019 DESIGN AND MODELING OF INSET FEED MICROSTRIP PATCH ANTENNA FOR GSM 1.5GHZ IMT SERVICES MANVINDER SHARMA, SUMEET GOYAL, RAHUL KAKKAR and BIKRAMJIT SHARMA * CGC College of Engineering Landran, Mohali, Punjab, India E-mail: manvinder.sharma@gmail.com cgccoe.appsc.sug@gmail.com cgccoe.appsc.rk@gmail.com bikramjit@thapar.edu * Thapar Institute of Engineering and Technology Patiala, Punjab, India E-mail: bikramjit@thapar.edu Abstract Ever growing global support as International Mobile Telecommunication) IMT service band two candidate bands are 1.35-1.4GHz and 1.42- 1.51GHz. The band 1.42-1.51GHz has been already used in Japan and Europe for commercial IMT services. The band provides considerable amount of bandwidth, better coverage in outdoor and building areas and cost efficient. For radiating at this frequency the antenna should be efficient, low cost and compact. Microstrip Patch Antenna (MPA) is having advantage of compact design, light weight, easy fabrication method and low profile over the conventional antennas. Due to their planar structure Microstrip Patch Antenna are widely used in wireless communication, satellite communication and in many areas where electromagnetic waves are used. Mobile communication requires compact, inexpensive and low profile antennas. Microstrip Patch Antenna satisfies all these requirements. This paper presents the design and analysis of inset feed Microstrip Patch Antenna. The design is simulated and analyzed for 1.5GHz band for GSM (900/1500) IMT Services. The electric field norm plot, radiation pattern are analyzed. Directivity is approx. 7dB and return loss   11 S calculated is –20.5dB and front to back ratio is calculated as 15dB.