Design of monolithic piezoelectric bimorph mirrors made from lithium niobate

Marzari, Francesco [University of Trento (Italy); National Institute for Nuclear Physics (INFN), Trento (Italy); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). Advanced Light Source (ALS)] (ORCID:0009000524542466); Cutler, Grant [Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)] (ORCID:0000000325703952); Goldberg, Kenneth A. [Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). Advanced Light Source (ALS)] (ORCID:0000000199845780)

doi:10.1364/oe.596443

DOE OSTI · 3382423

Design of monolithic piezoelectric bimorph mirrors made from lithium niobate

Marzari, Francesco [University of Trento (Italy); National Institute for Nuclear Physics (INFN), Trento (Italy); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). Advanced Light Source (ALS)] (ORCID:0009000524542466)·Cutler, Grant [Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)] (ORCID:0000000325703952)·Goldberg, Kenneth A. [Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). Advanced Light Source (ALS)] (ORCID:0000000199845780)

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Abstract

Recent advances in deformable mirrors based on monolithic piezoelectric substrates, such as lithium niobate, have the potential to improve the image quality of X-ray optical systems on synchrotron and free-electron laser beamlines and microscopes. However, the quantitative relationship between design parameters and the deformed shape has not been readily available in the literature. We present an analytical model, validated through finite element analysis, enabling calculation of tangential and sagittal curvatures based on mirror dimensions, crystallographic orientation, and applied voltage. We demonstrate that through the selection of material orientation, it is possible to achieve different deformed shapes (sphere, cylinder, or hyperbolic paraboloid). This methodology can be generalized to other piezoelectric materials and substrate-integrated actuator systems.

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Marzari, Francesco [University of Trento (Italy); National Institute for Nuclear Physics (INFN), Trento (Italy); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). Advanced Light Source (ALS)] (ORCID:0009000524542466), Cutler, Grant [Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)] (ORCID:0000000325703952), Goldberg, Kenneth A. [Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). Advanced Light Source (ALS)] (ORCID:0000000199845780). 2026-06-09. Design of monolithic piezoelectric bimorph mirrors made from lithium niobate. https://doi.org/10.1364/oe.596443

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