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縱向非均勻等離子體介質中厄密高斯光束的線性傳輸研究
縱向非均勻等離子體介質中厄密高斯光束的線性傳輸研究
摘要：本文主要研究厄密高斯光束在等離子體介質中的線性傍軸傳輸特性。主要包括如下內容：從麥克斯韋方程和冷單流體(電子)模型出發，推導出等離子體介質中包含等離子體密度縱向不均勻效應的激光束線性傳輸方程；在傍軸近似和緩變包絡近似下，利用傅立葉變換方法，得出傳輸方程衍射積分形式的通解。該通解可以用來分析任意形式縱向密度不均勻等離子體對光束傳輸特性的影響。利用該通解，對厄密高斯光束總功率和桶中功率隨傳輸距離演化進行了分析，結果表明等離子體密度縱向不均勻性將導致光束功率的增長。同時，線性的縱向等離子體密度不均勻性比2次型的對光束功率的影響更大。
關鍵詞：厄密高斯光束；等離子體；傳輸特性；解析解
Study on the linear propagation of Hermite-Gauss beam in longitudinal inhomogeneous plasmas
Abstract: In this paper, the linear paraxial propagation properties of Hermite-Gauss beam in longitudinal inhomogeneous plasmas in studied. From the Maxwell’s equations and the cold fluid (electron) equation, we derive the linear propagation equation for laser beam field. Making use of the paraxial approximation and the slowly-varying envelope approximation, a linear paraxial equation modified by longitudinal inhomogeneous plasma is obtained, from which, we derive a general solution in the form of diffraction-integral for the beam field using the Fourier transform technique. This general solution can used to analyze the beam propagation properties in all kinds of longitudinal inhomogeneous plasmas as long as the initial form of the beam is given. And the total power and the power in barrel (PIB) of the beam with initial Hermite-Gauss form is analyzed. It is found that longitudinal inhomogeneous density enhances the powers.
Key words: Hermite-Gauss beam; plasma; propagation properties; analytic solution
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