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根据行波式半导体激光放大器的特点，可用输入功率的台劳级数表示放大器的输出功率，只要求出级数各阶导数就可以方便地计算在多路有线电视（ＣＡＴＶ）系统中放大器引起的失真。文中给出放大器的速率方程组的解，并在此基础上导出理想放大器的前三阶导数的解析表达式。
According to the characteristics of the traveling wave semiconductor laser amplifier, the output power of the amplifier can be expressed in terms of the input power, which can be easily calculated by the amplifiers in the multi-channel CATV system distortion. In this paper, we give the solution of the rate equations of the amplifier, and on this basis, we derive the analytic expression of the first three derivatives of the ideal amplifier.