Adjoint methods for electromagnetic shape optimization of the low-loss cavity for the International Linear Collider

doi:10.1088/1742-6596/16/1/059

Adjoint methods for electromagnetic shape optimization of the low-loss cavity for the International Linear Collider

Volkan Akçelik et al 2005 J. Phys.: Conf. Ser. 16 435-445 doi: 10.1088/1742-6596/16/1/059

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Volkan Akçelik¹, George Biros², Omar Ghattas³, David Keyes⁴, Kwok Ko⁵, Lie-Quan Lee⁵ and Esmond G Ng⁶
¹ Ultrascale Simulation Lab, Carnegie Mellon University, Pittsburgh, PA, USA
² Institute for Computational Engineering and Sciences, and Departments of Geological Sciences, Mechanical Engineering, Computer Science, and Biomedical Engineering, University of Texas, Austin, TX, USA
³ Departments of Mechanical Engineering & Applied Mechanics and Computer & Information Science, University of Pennsylvania, Philadelphia, PA, USA
⁴ Applied Physics & Applied Mathematics, Columbia University, New York, NY, USA
⁵ Stanford Linear Accelerator Center, Menlo Park, CA, USA
⁶ Lawrence Berkeley National Laboratory, Berkeley, CA, USA
E-mail: volkan@cmu.edu, oghattas@cs.cmu.edu, david.keyes@columbia.edu, kwok@slac.stanford.edu, liequan@slac.stanford.edu and EGNg@lbl.gov

Abstract. We formulate the problem of designing the low-loss cavity for the International Linear Collider (ILC) as an electromagnetic shape optimization problem involving a Maxwell eigenvalue problem. The objective is to maximize the stored energy of a trapped mode in the end cell while maintaining a specified frequency corresponding to the accelerating mode. A continuous adjoint method is presented for computation of the design gradient of the objective and constraint. The gradients are used within a nonlinear optimization scheme to compute the optimal shape for a simplified model of the ILC in a small multiple of the cost of solving the Maxwell eigenvalue problem.

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Adjoint methods for electromagnetic shape optimization of the low-loss cavity for the International Linear Collider

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