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Shape determination for deformed electromagnetic cavities

机译：变形电磁腔的形状确定

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The measured physical parameters of a superconducting cavity differ from those of the designed ideal cavity. This is due to shape deviations caused by both loose machine tolerances during fabrication and by the tuning process for the accelerating mode. We present a shape determination algorithm to solve for the unknown deviations from the ideal cavity using experimentally measured cavity data. The objective is to match the results of the deformed cavity model to experimental data through least-squares minimization. The inversion variables are unknown shape deformation parameters that describe perturbations of the ideal cavity. The constraint is the Maxwell eigenvalue problem. We solve the nonlinear optimization problem using a line-search based reduced space Gauss-Newton method where we compute shape sensitivities with a discrete adjoint approach. We present two shape determination examples, one from synthetic and the other from experimental data. The results demonstrate that the proposed algorithm is very effective in determining the deformed cavity shape. (C) 2007 Elsevier Inc. All rights reserved.
机译：超导腔的测量物理参数与设计的理想腔的物理参数不同。这是由于制造过程中松散的机器公差以及加速模式的调整过程所引起的形状偏差。我们提出一种形状确定算法，以使用实验测量的腔数据来解决与理想腔的未知偏差。目的是通过最小二乘最小化将变形腔模型的结果与实验数据进行匹配。反演变量是描述理想空腔扰动的未知形状变形参数。约束条件是麦克斯韦特征值问题。我们使用基于行搜索的缩减空间高斯-牛顿法解决了非线性优化问题，在该方法中，我们使用离散伴随方法计算形状灵敏度。我们提供了两个形状确定示例，一个来自合成示例，另一个来自实验数据。结果表明，该算法在确定变形腔体形状方面非常有效。 （C）2007 Elsevier Inc.保留所有权利。

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