a new approach to synthesis of a quasi non-uniform leaky wave antenna

Background and objectives: in this paper, a closed-form mathematical formula has been presented using of the proposed periodic structure e-field distribution, that helps designers to calculate the width of the slots in quasi non-uniform leaky wave antenna (qnulwa). method: this method is based on two steps. in the first step, some important parameters forthe proposed antenna design will be extracted using simulation. in the second step, by solving a discrete differential equation, a general relation will be obtained for these types of antennas. this method has been investigated in the case of slot lwa families. results: a leaky wave antenna has been synthesized in the 15.5- 18 ghz frequency range for gaussian radiation pattern. the results of simulation and antenna design will be very close to each other in 2.5 ghz bandwidth (15.5 - 18 ghz), which shows the accuracy of this formula. also, by changing the frequency range 2-5 ghz, the main lobe direction of the antenna will scan the space approximately 10 degrees (from 63 to 73 degree). the antenna has an sll value of about -25 db and 13 db gain at whole band 15.5-18 ghz. conclusion: the obtained formula helps the antenna designers to calculate the dimensions this type of antenna for any pattern distribution.