Work

Polynomial-shaped electrodes for adaptive X-ray optics

Year: 2026

Type: article

Abstract: For adaptive mirrors on X-ray beamlines and optical systems, we describe a strategy for arranging a small number of tangentially continuous electrodes with varying electrode widths tailored to improve mirror shape control. This approach, with patterned, compound electrodes, is well suited to the emerging class of lithium niobate mirrors that act as monolithic piezo-bimorphs, without the need for additional bonded or grown actuator elements. The proposed electrodes span the length of the mirror's clear aperture and have width profiles defined by polynomial shapes. Using a limited number of channels derived from Chebyshev polynomials, the actuators provide access to shape controls and correction modes of increasing polynomial order. We derive an analytic approach to optimize control voltages based on Euler-Bernoulli beam theory, and we show how the modeled characteristic response functions can be applied to fit arbitrary surfaces. Comparison with a conventional, linear array of 12 electrodes shows the relative benefit of each approach.

Source: Journal of Synchrotron Radiation

DOI: 10.1107/s160057752600843x

Authors: Kenneth A. Goldberg, Francesco Marzari, Grant D. Cutler

Institutions: Lawrence Berkeley National Laboratory, Advanced Light Source, Istituto Nazionale di Fisica Nucleare, University of Trento

Language: English

Topic: Aeroelasticity and Vibration Control

Subfield: Aerospace Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,180

Funder: Office of Science