| The interaction between laser and matter has very important research significance in the field of nonlinear optics and is an important part of modern laser theory.It is of great theoretical value to manufacture all kinds of ultrashort laser and explore the application of all kinds of laser.In the quantum physics theory describing the interaction between ultrashort and ultra-strong laser and matter,Maxwell equations are usually used to describe the electric and magnetic field motion laws of laser,and Bloch equations are used to describe the state of atomic or molecular system.Together,the two are known as Maxwell-Bloch equations and are at the heart of modern laser theory.Maxwell-Bloch equations are widely used in optical theory.In this thesis,a second order numerical solution of one dimensional Maxwell-Bloch equations is studied.Firstly,in order to overcome the influence of boundary conditions on numerical simulation,A numerical solution model Perfectly Matched Layer(PML)was introduced.Secondly,a finite difference method with second-order precision in both spatial and temporal directions was constructed to solve Maxwell-Bloch equations with PML boundary conditions.Finally,by using different incident laser wave sources and changing the initial conditions,the solutions obtained at different time nodes are compared,the image changes are observed,and the related physical phenomena are discussed.Numerical experiment results show that the proposed method is efficient. |
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