en سوخت های جایگزین Modern Powertrain (hybrid, electric, CNG, bio, ...) پژوهشي Research <span style="font-size:10.0pt"><span style="line-height:115%"><span new="" roman="" style="font-family:" times=""><span style="color:#222222">This paper presents an inhomogeneous lens to radiate a control-table Fan Shaped pattern for long-range automotive applications. Fan Shaped pattern of the designed lens covers more angles in azimuth. The proposed circular aperture inhomogeneous lens is designed based on the critical angle theorem. The profile of the dielectric constant of the proposed lens changes in 3 directions of &rho;, &phi;, and z. The lens is matched to the source and surroundings. A closed-form formula is offered for an arbitrary fan-shaped pattern lens antenna. A compact circular lens with a diameter of 20 mm and thickness of 2.25 mm is simulated in CST full-wave software to validate the design structure.</span></span></span></span> Automotive Radar, Inhomogeneous lens, Long-range, Fan-shaped pattern. 4151 4156 http://ase.iust.ac.ir/browse.php?a_code=A-10-738-1&slc_lang=en&sid=1 Mohammad Mahdi Taskhiri taskhiri@qut.ac.ir 180031947532846004112 180031947532846004112 Yes School of Electrical and Computer Engineering, Qom University of Technology