【摘 要】
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In order to study the capability of amplifying the input optical signal of certain materials, we investigate the Helmholtz equation which describes a system of
【机 构】
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College of Computer and Communication Engineering, Southwest Jiaotong University, Chengdu 610031“,”D
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In order to study the capability of amplifying the input optical signal of certain materials, we investigate the Helmholtz equation which describes a system of inhomogeneous media. After exploring its SU(1,1) algebraic structure, we obtain the exact solutions of this Helmholtz equation by means of the algebraic dynamical method.Based on the exact solutions, we analyse the capability of optical amplifiers, which is an important issue in mode optical communication. We take the wave number ko(z) and the expansion coefficient k2(z) to be the trigonometric functions, exponential functions and power functions of variable z, respectively. It is found that the material following the exponential functions is the best one for optical amplifiers.
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