Based on 1Drandom medium and waveguide theory

we design a multi-layer random laser 2D waveguide structure composed of gold particles and ZnO random medium.We use the quantum theory to analyze the model of the output laser gain particle number and inversion of particle number.The dynamic characteristics of the quantum theory analysis system are caused by a series of relaxation ultra-fast response

and the response time is

1

00fs.The experimental results show:the model of gold particles fill rates between 25%

3

0%can achieve the output laser more effectively.The peak of the design of 2Drandom laser model can reach 104 V/m order of magnitude.