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Using adaptive weighted least squares approximation for coupling thermal and optical simulation

机译:使用自适应加权最小二乘近似进行热和光学模拟耦合

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摘要

Thermo-optical simulation is a mandatory enhancement of classical ray tracing, since nowadays many fields in the branch of optical technology have to deal with thermal effects. This paper discusses an approach for coupling the finite element method (FEM) and ray tracing simulation by processing finite element (FE) data using scattered data approximation techniques, particularly with an adaptive weighted least squares approximation algorithm in two dimensions. The validation of the implemented interface is being conducted by comparing approximated data to analytical functions. Finally, FEM data are being processed by the developed algorithm to demonstrate the applicability on appropriate problems.
机译:热光学模拟是经典射线追踪的必不可少的增强,因为如今光学技术领域的许多领域都必须处理热效应。本文讨论了一种通过使用散射数据近似技术(特别是二维自适应加权最小二乘近似算法)处理有限元(FE)数据来耦合有限元方法(FEM)和光线跟踪模拟的方法。通过将近似数据与分析功能进行比较,可以对实现的接口进行验证。最后,所开发的算法正在处理FEM数据,以证明在适当问题上的适用性。

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