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CERN 96-03 May 1996 XC97FF998 ORGANISATION EUROPEEWNE POUR LA RECHERCHE NUCLEAIRE C E RN EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH CERN ACCELERATOR SCHOOL SUPERCONDUCTIVITY IN PARTICLE ACCELERATORS Haus Rissen, Hamburg, Germany 17-24 May 1995 PROCEEDINGS Editor: S. Turner GENEVA 1996 2 9 if 2 4 CERN-Service d'information scientifique-RD/964-2500-mai 1996 Copyright CERN, Geneve, 1996 Propriété littéraire et scientifique réservée Literary and scientific copyrights reserved in pour tous les pays du monde. Ce document ne all countries of the world. This report, or peut être reproduit ou traduit en tout ou en any part of it, may not be reprinted or trans- partie sans l'autorisation écrite du Directeur lated without written permission of the copy- général du CERN, titulaire du droit d'auteur. right holder, the Director-General of CERN. Dans les cas appropriés, et s'il s'agit d'utiliser However, permission will be freely granted for le document à des fins non commerciales, cette appropriate non-commercial use. autorisation sera volontiers accordée. If any patentable invention or registrable Le CERN ne revendique pas la propriété des design is described in the report, CERN makes inventions brevetables et dessins ou modèles no claim to property rights in it but offers it susceptibles de dépôt qui pourraient être for the free use of research institutions, man- décrits dans le présent document; ceux-ci peu- ufacturers and others. CERN, however, may vent être librement utilisés par les instituts de oppose any attempt by a user to claim any recherche, les industriels et autres intéressés. proprietary or patent rights in such inventions Cependant, le CERN se réserve le droit de or designs as may be described in the present s'opposer à toute revendication qu'un usager document. pourrait faire de la propriété scientifique ou industrielle de toute invention et tout dessin ou modèle décrits dans le présent document. ISSN 0007-8328 ISBN 92-9083-084-0 HI ABSTRACT These proceedings present the lectures given at the ninth specialized course organized by the CERN Accelerator School (CAS), the topic this time being 'Superconductivity in Particle Accelerators'. This course is basically a repeat of that given at the same location in 1988 whose proceedings were published as CERN 89-04. However, the opportunity was taken to improve the presentation of the various topics and to introduce the latest developments in this rapidly expanding field. First the basic theory of superconductivity is introduced. A review of the materials used for sc magnets is followed by magnet design requirements, the influence of eddy and persistent currents, and the methods used to provide quench protection. Next follows the basic theory of sc cavities, their materials, high-gradient limitations, the problem of field emission and then their power couplers. After an introduction to cryogenics and cryoplants, the theory of superfluidity is presented followed by a review of the use of superfluid helium. Finally, two seminars detail the impact of superconductors on the design of the LHC and LEP2 accelerators. CERN ACCELERATOR SCHOOL DEUTSCHES ELEKTRONEN SYNCHROTRON will jointly organise a course on SUPERCONDUCTIVITY IN PARTICLE ACCELERATORS 17-24 May 1995 at Haus Rissen, Hamburg I I'linlo louiiMiius Anlnili II unhiiff (nnl>H Lectures: Cryogenics Seminars: Superconductivity Superfluidity Impact of superconductors on LHC design Ginsburg-Landau theory I.8K techniques Operating HERA with SC magnets Fields, forces and mechanics of SC magnets Basic properties of cavities SC detector magnets Survey of SC materials Materials for cavities Impact of SC cavities on LEP 2 design Practical superconductors for magnets Quest for high RF fields Recirculating linacs Persistent and eddy currents and their impact Field emission in cavities on accelerator performance Couplers for cavities Visit: Quench protection High-temperature superconductors DESY-HERA For further information and application forms please contact: Mrs. S. von Warlbuig, CERN Accelerator School, E-Mail: CASDESY @ CERNVM.CERN.CH AC Division, Fax: + 41 22 7824836 (until 15 Jan 1995) CH-121I Geneva 23 + 41 22 7675460 (from 16 Jan 1995) CLOSING DATE FOR APPLICATIONS: 1 MARCH 1995 PROGRAMME FOR THE CERN ACCELERATOR SCHOOL COURSE on Superconductivity in Particle Accelerators Hamburg, 17 to 24 May 1995. Wednesday Thursday Friday Saturday j Sunday Monday Tuesday Wednesday Time 17 May 18 May 19 May 20 May j 21 May 22 May 23 May 24 May BREAKFAST 09.00 Superconductivitv Superconductivity Superconductivity Ginsburg-Landau Superfluidity 1.8K High-temperature I n III theory superconductors 10.00 P. Schmuser P. Schmuser P. Schmuser M. Cyrot W.F. Vinen P. Lebrun G. Mailer C O F F EE C O F F EE 10.20 Fields, forces and Fields, forces and Survey of SC Practical E Persistent and Impact of Couplers for mechanics of SC mechanics of SC materials superconductors eddy currents persistent arid eddy cavities magnets magnets for magnets currents on II I II X accelerator performances 11.20 R. Perin R. Perin M. Wilson M. Wilson ! A. Devred B. Holzer E. Haebel MDD MORNING BREAK C MID-MORNING BREAK 11.30 Cryogenics Cryogenics Basic properties of Quest for high r.f. Field emission for Couplers for TESLA I n SC cavities field cavities cavities u n I 12.30 J. Schmid J. Schmid W. Weingarten D. Proch R B. Bonin E. Haebel B. Wiik L U IS C H L U N CH 14.00 Basic properties of Poster session Operating HERA Materials for Quench protection SC cavities with S cavities TRANSPORT I sq>erconductiflg :3F;; :. magnets TO I 15.00 W. Weingarten R E.J.N. Wilson F. Willeke B. Bonin K.-R Mess AIRPORT TEA TEA TEA o 15.30 Impact of SC detector DESY Impact of Recirculating superconductors magnets superconducting linacs on LHC design E VISIT cavities on LEP2 N design + Buffet supper 17.00 J. Gareyte A.Dael D. Boussard D. Graf 17.30 COCKTAIL BOAT TRIP 18.30 DINNER DINNER GALA DINNER Vll FOREWORD The aim of the CERN Accelerator School to collect, preserve and disseminate the knowledge accumulated in the world's accelerator laboratories applies not only to accelerators and storage rings, but also to the related sub-systems, equipment and technologies. This wider aim is being achieved by means of the specialized courses listed in the Table below. The latest of these was on the topic of Superconductivity in Particle Accelerators' and was held at Haus Rissen, Hamburg, Germany, 17-24 May 1995, its proceedings forming the present volume. List of specialized CAS courses and their proceedings Year Course Proceedings 1983 Antiprotons for colliding beam facilities CERN 84-15 (1984) 1986 Applied Geodesy for particle accelerators CERN 87-01 (1987) also Lecture Notes in Earth Sciences 12, (Springer Verlag, 1987) 1988 Superconductivity in particle accelerators CERN 89-04 (1989) 1989 Synchrotron radiation and free-electron lasers CERN 90-03 (1990) 1990 Power converters for particle accelerators CERN 90-07 (1990) 1991 RF engineering for particle accelerators CERN 92-03 (1992) 1992 Magnetic measurement and alignment CERN 92-05 (1992) 1993 RF engineering for particle accelerators - (repeat of the 1991 course) 1994 Cyclotrons, linacs and their applications CERN 96-02 (1996) 1995 Superconductivity in particle accelerators Present volume Over the last few years, the importance of superconductivity in the construction of particle accelerators and their detection systems, and in medical imaging and other measuring devices has grown tremendously. Superconductivity has made it possible to reduce the cost, size and power requirements of magnets, while permitting higher-energy accelerators to be constructed within the physical constraints of existing sites, typical examples being the TEVATRON at Fermilab and HERA at DESY. Machines constructed more recently such as RHIC at Brookhaven or planned for the near future, particularly the LHC at CERN, would hardly have been feasible without the use of superconductivity for both their magnets and their RF accelerating cavities. While the accelerator applications have been the prime promoter of recent superconductivity technology, the magnet size and cost reductions have made it possible for many hospitals to install imaging devices to the extent that they are presently the major user of superconducting materials. Meanwhile, serious development of the recently discovered high- temperature superconductors promises very exciting possibilities for their use in the future. With such a vigorous programme of superconducting applications and developments there was every reason not only to repeat the CAS course given on this topic in 1988 but also to publish these new proceedings. Vlll Organization of this course required the good will and considerable effort of many people. In particular, CAS thanks the DESY and CERN Directorates for their financial and moral support, the CAS Advisory Committee for its guidance, and the Programme and Local Organizing Committees for the great attention to detail which ensured that the course was so successful. Very special thanks must go to the lecturers at the course for their enthusiasm and very considerable work in preparing, presenting and writing up their topics. The effort made by the Haus Rissen staff during our stay with them was most appreciated. Finally, we thank the participants at the course for their support and encouragement S. Turner Editor IX CONTENTS Page no. FOREWORD vii P. Schmtiser Superconductivity 1 Introduction 1 Meissner-Ochsenfeld effect and London equations 3 Thermodynamic properties of superconductors 7 Basic concepts and results of the BCS theory 14 The vector potential in quantum theory 23 Quantisation of magnetic flux 27 Hard superconductors 30 Josephson effects 36 Af. Cyrot Ginsburg-Landau Theory Chapter not submitted M. Wilson Superconducting materials for magnets 47 Introduction 47 Survey of materials 48 Conductors for use in magnets 54 Man ufacture of m agnet conductors 63 Concluding remarks 68 R. Perin Field, forces and mechanics of superconducting magnets 71 Introduction 71 Categories of superconducting magnets for accelerators 73 Magnetic design 73 Field quality 82 Forces and mechanics 86 A. Devred and T. Ogitsu Influence of eddy currents in superconducting particle accelerator magnets using Rutherford-type cables 93 Introduction 93 Eddy-current sources 94 Computing the transport-current field 95 Model for intra-strand eddy currents 98 Model for inter-strand eddy currents 106 Conclusion 119 B.J. Holzer Impact of persistent currents on accelerator performance 123 Introduction 123 Persistent currents 123 Multipole contributions of persistent currents 124 Persistent-current effects during acceleration 131 The HERA multipole correction scheme 133 Impact of persistent currents on accelerator performance 138 Correction of the persistent-current effects 139

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partie sans l'autorisation écrite du Directeur . Design and production. 170 . field in the bulk material and are in the superconducting state provided the to the different phases of H2O which is in the solid, liquid or gaseous state
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