Exact Solution to Helmholtz Equation for Inhomogeneous Medium: Its Application in Optical Communication
WANG Gang1, WU Shao-Quan2, HOU Bang-Pin2
1College of Computer and Communication Engineering, Southwest Jiaotong University, Chengdu 610031
2Department of Physics, Sichuan Normal University, Chengdu 610068
Exact Solution to Helmholtz Equation for Inhomogeneous Medium: Its Application in Optical Communication
WANG Gang1;WU Shao-Quan2;HOU Bang-Pin2
1College of Computer and Communication Engineering, Southwest Jiaotong University, Chengdu 610031
2Department of Physics, Sichuan Normal University, Chengdu 610068
Abstract： 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 modern optical communication. We take the wave number k0(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.
WANG Gang;WU Shao-Quan;HOU Bang-Pin. Exact Solution to Helmholtz Equation for Inhomogeneous Medium: Its Application in Optical Communication[J]. 中国物理快报, 2005, 22(5): 1037-1040.
WANG Gang, WU Shao-Quan, HOU Bang-Pin. Exact Solution to Helmholtz Equation for Inhomogeneous Medium: Its Application in Optical Communication. Chin. Phys. Lett., 2005, 22(5): 1037-1040.
2005, Vol. 22 
