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Real and complex valued geometrical optics inverse ray-tracing for inline field calculations

机译：内联现场计算的真实和复杂的高位几何光学逆射线跟踪

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摘要

A 3-D ray based model for computing laser fields in dissipative and amplifying media is presented. The eikonal equation is solved using inverse ray-tracing on a dedicated nonstructured 3-D mesh. Inverse ray-tracing opens the possibility of using Complex Geometrical Optics (CGO), for which we propose a propagation formalism in a finite element mesh. Divergent fields at caustics are corrected using an etalon integral method for fold-type caustics. This method is successfully applied in dissipative media by modifying the ray-ordering and root selection rules, thereby allowing one to reconstruct the field in the entire caustic region. In addition, we demonstrate how caustics in the CGO framework can disappear entirely for sufficiently dissipative media, making the complex ray approach valid in the entire medium. CGO is shown to offer a more precise modeling of laser refraction and absorption in a dissipative medium when compared to Geometrical Optics (GO). In the framework of Inertial Confinement Fusion (ICF), this occurs mostly at intermediate temperatures or at high temperatures close to the critical density. Additionally, GO is invalid at low temperatures if an approximated expression of the permittivity is used. The inverse ray-tracing algorithm for GO and CGO is implemented in the IFRIIT code, in the framework of a dielectric permittivity described in 3-D using a piecewise linear approximation in tetrahedrons. Fields computed using GO and CGO are compared to results from the electromagnetic wave solver Laser Plasma Simulation Environment. Excellent agreement is obtained in 1-D linear and nonlinear permittivity profiles. Good agreement is also obtained for ICE-like Gaussian density profiles in 2-D. Finally, we demonstrate how the model reproduces Gaussian beam diffraction using CGO. The IFRIIT code will be interfaced inline to 3-D radiative hydrodynamic codes to describe the nonlinear laser plasma interaction in ICF and high-energy-density plasmas. Published under l
机译：提出了一种用于计算耗散和放大介质中的激光场的三维基于射线模型。在专用非结构3-D网上使用逆射线跟踪解决了eikonal等式。逆射线跟踪打开了使用复杂的几何光学（CGO）的可能性，我们在有限元网格中提出了一种传播形式主义。使用标准乐型焦型方法校正苛性盐处的发散场。通过修改光线排序和根选择规则，该方法在耗散介质中成功应用，从而允许一个人重建整个刻录区域中的场。此外，我们展示了CGO框架中的焦化如何完全消失，以充分耗散介质，使得复杂的射线方法在整个媒体中有效。与几何光学（GO）相比，CGO显示在耗散介质中提供更精确的激光折射和吸收的造型。在惯性监禁融合（ICF）的框架中，这主要发生在中间温度或在接近临界密度的高温下发生。另外，如果使用近似的介电常数的近似表达，则GO在低温下无效。用于Go和CGO的逆射线跟踪算法在IFRIIT码中实现，在三维中使用四元型中的分段线性近似在3-D中描述的介电介电常数的框架中实现。将使用GO和CGO计算的字段与电磁波求解器激光等离子体仿真环境的结果进行比较。在1-D线性和非线性介电常数型材中获得了优异的一致性。在2-D中也可以获得良好的一致性的冰类似的高斯密度曲线。最后，我们展示了模型如何使用CGO再现高斯梁衍射。 IFRIIT代码将在线连接到3-D辐射流体动力学代码，以描述ICF和高能密度等离子体中的非线性激光等离子体相互作用。发表于L.

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