In this paper, we analyze a Microwave Amplifier Ultra-Wideband charateristic to apply Multi-Giga b/s optical receiver preamplifier in high speed optical communication system. To obtain frequency expanding effect. we analyze the frequency gain degradation effects of capacitances in the GaAs MESFET small-signal equivalent circuit and design Feedback amplifier Module(FAM) which has inductor peaking elements to compensate its effects and to expand frequency band. We derive optimum inductor peaking values in order to get flat gain in frequency band. The input and the output impedances of FAM are matched by Real Frequency Method and we design one and two stage ultra wideband microwave amplifier. With simulation results, it show $6.36sim6.86dB$ and $9.1sim10.3dB$ gains and execllent gain flatness in $0.5sim12GHz$ respectively.