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In addition to the desired frequency, theoretically the Time Modulated Antenna Array (TMAA) radiates signals at the infinite number of different harmonics of the modulation frequency. But the radiation energy at the first few harmonics (called sidebands) is most significant. In this paper, the maximum radiation at first two harmonics of TMAA has been studied for the different values of the side lobe levels (SLLs) of the main beam. The SLLs of the main beam of TMAA are varied from - 15dB to - 50dB with almost - 5dB interval. Global search and optimization algorithm GA is used to get the desired different SLLs.