Adjoint methods for electromagnetic shape optimization of the low-loss cavity for the international linear collider

Volkan Akçelik*, George Biros, Omar Ghattas, David Elliot Keyes, Kwok Ko, Lie Quan Lee, Esmond G. Ng

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)435-445
Number of pages11
JournalJournal of Physics: Conference Series
Issue number1
StatePublished - Jan 1 2005

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this