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Simulations of applications using diaboloid mirrors
Manuel Sanchez Del Rio1, Kenneth A Goldberg1, Valeriy V Yashchuk1
1Advanced Light Source, LBNL, Berkeley, CA, USA.
Journal of Synchrotron Radiation
|July 2, 2021
Summary
Diaboloid mirrors convert spherical to cylindrical waves, offering advanced focusing for new light sources. These optics are crucial for reducing aberrations in low-emittance storage rings.
Area of Science:
- Optics
- Beamline Design
- Advanced Light Sources
Background:
- Toroidal optics are currently used for astigmatic focusing in beamlines.
- New low-emittance storage rings require optics that minimize aberrations due to small source sizes.
Purpose of the Study:
- To describe the numerical implementation of diaboloid mirrors.
- To study the benefits of diaboloid mirrors in beamlines, particularly those using diffraction-limited storage rings.
- To evaluate approximations of diaboloid surfaces and their magnification effects.
Main Methods:
- Numerical implementation of diaboloid mirror geometry.
- Ray tracing simulations to analyze beamline performance.
- Comparison with existing toroidal optics.
Main Results:
- Diaboloid mirrors effectively convert spherical waves to cylindrical waves.
- Ray tracing demonstrates the benefit of diaboloids in diffraction-limited storage ring beamlines.
- The reduction of aberrations is significant for small source sizes in low-emittance rings.
Conclusions:
- Diaboloid mirrors present a viable alternative to toroidal optics for specific beamline applications.
- Their use is particularly advantageous in next-generation low-emittance storage rings.
- Further analysis of diaboloid approximations and magnification is warranted.

