Halbach undulators using right triangular magnets
Abstract
Undulators and wigglers based on Halbach arrays have been in widespread use since their description in the 1980s, due to the high fields they generate from permanent magnets. The most common implementation of a pure permanent magnet Halbach undulator consists of four magnetic segment widths per undulator period. In typical undulators with periods of order ~ cm it is straightforward to use sufficiently small magnetic segments to achieve the desired undulator period. However, in the context of new microundulators with periods of order ~ mm or shorter, there is a lower bound on the feature sizes achievable by existing fabrication techniques. This motivates the use of modified Halbach arrays comprised of right triangle magnet segments with only two magnet segment widths per undulator period. These configurations are demonstrated to have superior field strengths to up-down arrays with no increase to the undulator period. Additional considerations arising from the broken symmetries in such configurations, such as the presence of previously forbidden harmonic components, are also considered. Such right triangle Halbach arrays may be fabricated using MEMS techniques for use in the next generation of compact light sources.
- Publication Date:
- Research Org.:
- Univ. of California, Los Angeles, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); National Science Foundation (NSF)
- OSTI Identifier:
- 1566892
- Alternate Identifier(s):
- OSTI ID: 1611226
- Grant/Contract Number:
- SC0009914; PHY-1549132
- Resource Type:
- Published Article
- Journal Name:
- Physical Review Accelerators and Beams
- Additional Journal Information:
- Journal Name: Physical Review Accelerators and Beams Journal Volume: 22 Journal Issue: 9; Journal ID: ISSN 2469-9888
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; physics; beam optics; room-temperature magnet calculations; magnetic systems; undulators & wigglers
Citation Formats
Majernik, N., and Rosenzweig, J. B. Halbach undulators using right triangular magnets. United States: N. p., 2019.
Web. doi:10.1103/PhysRevAccelBeams.22.092401.
Majernik, N., & Rosenzweig, J. B. Halbach undulators using right triangular magnets. United States. https://doi.org/10.1103/PhysRevAccelBeams.22.092401
Majernik, N., and Rosenzweig, J. B. Thu .
"Halbach undulators using right triangular magnets". United States. https://doi.org/10.1103/PhysRevAccelBeams.22.092401.
@article{osti_1566892,
title = {Halbach undulators using right triangular magnets},
author = {Majernik, N. and Rosenzweig, J. B.},
abstractNote = {Undulators and wigglers based on Halbach arrays have been in widespread use since their description in the 1980s, due to the high fields they generate from permanent magnets. The most common implementation of a pure permanent magnet Halbach undulator consists of four magnetic segment widths per undulator period. In typical undulators with periods of order ~ cm it is straightforward to use sufficiently small magnetic segments to achieve the desired undulator period. However, in the context of new microundulators with periods of order ~ mm or shorter, there is a lower bound on the feature sizes achievable by existing fabrication techniques. This motivates the use of modified Halbach arrays comprised of right triangle magnet segments with only two magnet segment widths per undulator period. These configurations are demonstrated to have superior field strengths to up-down arrays with no increase to the undulator period. Additional considerations arising from the broken symmetries in such configurations, such as the presence of previously forbidden harmonic components, are also considered. Such right triangle Halbach arrays may be fabricated using MEMS techniques for use in the next generation of compact light sources.},
doi = {10.1103/PhysRevAccelBeams.22.092401},
journal = {Physical Review Accelerators and Beams},
number = 9,
volume = 22,
place = {United States},
year = {2019},
month = {9}
}
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevAccelBeams.22.092401
https://doi.org/10.1103/PhysRevAccelBeams.22.092401
Other availability
Search WorldCat to find libraries that may hold this journal
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Surface-micromachined magnetic undulator with period length between and 1 mm for advanced light sources
journal, July 2012
- Harrison, Jere; Joshi, Abhijeet; Lake, Jonathan
- Physical Review Special Topics - Accelerators and Beams, Vol. 15, Issue 7
Design of permanent multipole magnets with oriented rare earth cobalt material
journal, February 1980
- Halbach, K.
- Nuclear Instruments and Methods, Vol. 169, Issue 1, p. 1-10
Low cost undulator magnets for industrial free electron masers
journal, November 2000
- Wright, C. C.; Stuart, R. A.; Lucas, J.
- Optics Communications, Vol. 185, Issue 4-6
Higher harmonic inverse free-electron laser interaction
journal, July 2005
- Musumeci, P.; Pellegrini, C.; Rosenzweig, J. B.
- Physical Review E, Vol. 72, Issue 1
The wedged-pole concept for improving the performance of permanent magnet hybrid undulators
journal, September 1987
- Quimby, D. C.; Pindroh, A. L.; Robinson, K. E.
- Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 259, Issue 1-2
A Permanent Magnet Undulator for SPEAR
journal, June 1981
- Halbach, K.; Chin, J.; Hoyer, E.
- IEEE Transactions on Nuclear Science, Vol. 28, Issue 3
Compact Undulator for Cornell High Energy Synchrotron Source
journal, June 2012
- Temnykh, A.; Kobela, T.; Lyndaker, A.
- IEEE Transactions on Applied Superconductivity, Vol. 22, Issue 3
Undulator scheme providing wide range magnetic field tuning
journal, March 1994
- Varfolomeev, A. A.; Hairetdinov, A. H.; Ivanchenkov, S. N.
- Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 341, Issue 1-3
Visible-infrared self-amplified spontaneous emission amplifier free electron laser undulator
journal, December 2001
- Carr, Roger; Cornacchia, Max; Emma, Paul
- Physical Review Special Topics - Accelerators and Beams, Vol. 4, Issue 12
Design considerations for a 1Å SASE undulator
journal, December 2000
- Elleaume, P.; Chavanne, J.; Faatz, Bart
- Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 455, Issue 3
Analysis of field errors in existing undulators
journal, May 1990
- Kincaid, Brian M.
- Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 291, Issue 1-2
Results of the VISA SASE FEL experiment at 840nm
journal, July 2003
- Murokh, A.; Agustsson, R.; Babzien, M.
- Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 507, Issue 1-2
A magnetic coupled charger with no-load protection
journal, July 1998
- Sakamoto, H.; Harada, K.; Abe, H.
- IEEE Transactions on Magnetics, Vol. 34, Issue 4
Physical and optical properties of rare earth cobalt magnets
journal, August 1981
- Halbach, Klaus
- Nuclear Instruments and Methods in Physics Research, Vol. 187, Issue 1
Halbach permanent magnet machines and applications: a review
journal, January 2001
- Zhu, Z. Q.; Howe, D.
- IEE Proceedings - Electric Power Applications, Vol. 148, Issue 4
Miniature magnetic devices for laser-based, table-top free-electron lasers
journal, August 2007
- Eichner, T.; Grüner, F.; Becker, S.
- Physical Review Special Topics - Accelerators and Beams, Vol. 10, Issue 8
Adjustable, short focal length permanent-magnet quadrupole based electron beam final focus system
journal, July 2005
- Lim, J. K.; Frigola, P.; Travish, G.
- Physical Review Special Topics - Accelerators and Beams, Vol. 8, Issue 7
Increasing output power of electromagnetic vibration energy harvesters using improved Halbach arrays
journal, December 2013
- Zhu, Dibin; Beeby, Steve; Tudor, John
- Sensors and Actuators A: Physical, Vol. 203
Micro-undulator FELS
journal, September 1986
- Ramian, G.; Elias, L.; Kimel, I.
- Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 250, Issue 1-2
An elliptically-polarizing undulator with phase adjustable energy and polarization
journal, August 1994
- Lidia, Steve; Carr, Roger
- Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 347, Issue 1-3
Complete polarization analysis of an APPLE II undulator using a soft X-ray polarimeter
journal, September 2012
- Wang, Hongchang; Bencok, Peter; Steadman, Paul
- Journal of Synchrotron Radiation, Vol. 19, Issue 6
Technology Development for Short-period Magnetic Undulators
journal, January 2014
- Peterson, B. A.; Oniku, O. D.; Patterson, W. C.
- Physics Procedia, Vol. 52
Effect of undulator harmonics field on free-electron laser harmonic generation
journal, June 2011
- Jia, Qika
- Physical Review Special Topics - Accelerators and Beams, Vol. 14, Issue 6