Adjoint Approach to Accelerator Lattice Design

Antonsen, T. M.; Beaudoin, B.; Dovlatyan, Levon; Haber, I.

doi:10.18429/jacow-napac2019-tuplm03

Cited by 1 publication

(2 citation statements)

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“…The number of computations needed to calculate the gradient can be reduced via the introduction of adjoint techniques [1][2][3][4][5]. In this approach an alternate, but related, mathematical problem is introduced in which in a single (or in several) computation(s) the linear dependence of the FoM on all the parameters can be determined.…”

Section: Introductionmentioning

confidence: 99%

“…In this approach an alternate, but related, mathematical problem is introduced in which in a single (or in several) computation(s) the linear dependence of the FoM on all the parameters can be determined. The adjoint approach has previously been applied in circuit theory [1], electromagnetics [2], aerodynamics [3], and accelerator physics [4,5], as well as in other fields.…”

Section: Introductionmentioning

confidence: 99%

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Optimization of Flat to Round Transformers with Self-fields using Adjoint Techniques

Dovlatyan,

Beaudoin,

Bernal

et al. 2021

Preprint

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A continuous system of moment equations is introduced that models the transverse dynamics of a beam of charged particles as it passes through an arbitrary lattice of quadrupoles and solenoids in the presence of self-fields. Then, figures of merit are introduced specifying system characteristics to be optimized. The resulting model is used to optimize the parameters of the lattice elements of a flat to round transformer, as could be applied in relativistic electron cooling. Results are shown for a case of no space-charge and two cases with space-charge. The optimization is based on a gradient descent algorithm in which the gradient is calculated using adjoint methods that prove to be very computationally efficient. In the optimized configurations for each of the three cases, the beam in the solenoid is round and with uniform second moments.

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