In this series of eight papers we present the applications of methods from wavelet analysis to polynomial approximations for a number of accelerator physics problems. In this part we consider variational wavelet approach for loops, invariant bases on semidirect product, KAM calculation via FWT.
{"title":"Nonlinear accelerator problems via wavelets. VIII. Invariant bases, loops and KAM","authors":"A. Fedorova, M. Zeitlin","doi":"10.1109/PAC.1999.792980","DOIUrl":"https://doi.org/10.1109/PAC.1999.792980","url":null,"abstract":"In this series of eight papers we present the applications of methods from wavelet analysis to polynomial approximations for a number of accelerator physics problems. In this part we consider variational wavelet approach for loops, invariant bases on semidirect product, KAM calculation via FWT.","PeriodicalId":20453,"journal":{"name":"Proceedings of the 1999 Particle Accelerator Conference (Cat. No.99CH36366)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1999-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86934343","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this series of eight papers we present the applications of methods from wavelet analysis to polynomial approximations for a number of accelerator physics problems. In this part we consider the applications of discrete wavelet analysis technique to maps which come from discretization of continuous nonlinear polynomial problems in accelerator physics. Our main point is generalization of wavelet analysis which can be applied for both discrete and continuous cases. We give explicit multiresolution representation for solutions of discrete problems, which is correct discretization of our representation of solutions of the corresponding continuous cases.
{"title":"Nonlinear accelerator problems via wavelets. V. Maps and discretization via wavelets","authors":"A. Fedorova, M. Zeitlin","doi":"10.1109/PAC.1999.792979","DOIUrl":"https://doi.org/10.1109/PAC.1999.792979","url":null,"abstract":"In this series of eight papers we present the applications of methods from wavelet analysis to polynomial approximations for a number of accelerator physics problems. In this part we consider the applications of discrete wavelet analysis technique to maps which come from discretization of continuous nonlinear polynomial problems in accelerator physics. Our main point is generalization of wavelet analysis which can be applied for both discrete and continuous cases. We give explicit multiresolution representation for solutions of discrete problems, which is correct discretization of our representation of solutions of the corresponding continuous cases.","PeriodicalId":20453,"journal":{"name":"Proceedings of the 1999 Particle Accelerator Conference (Cat. No.99CH36366)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1999-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87039500","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
For refs. to previous papers see Fedorova et al., AIP Conf. Proc., vol.468, p.69 (1999). In this series of eight papers we present the applications of methods from wavelet analysis to polynomial approximations for a number of accelerator physics problems. In this part we consider orbital motion in the transverse plane for a single particle in a circular magnetic lattice in the case when we take into account multipolar expansion up to an arbitrary finite number. We reduce initial dynamical problem to a finite number (equal to the number of n-poles) of standard algebraical problems and represent all dynamical variables via an expansion in the base of periodic wavelets.
参考文献。以前的论文见Fedorova et al.， AIP Conf. Proc, vol.468, p.69(1999)。在这一系列的八篇论文中，我们介绍了从小波分析到多项式近似的方法在许多加速器物理问题中的应用。在这一部分中，我们考虑到多极膨胀到任意有限数的情况下，考虑圆形磁晶格中单个粒子在横向平面上的轨道运动。我们将初始动力问题简化为有限个数(等于n-极点数)的标准代数问题，并通过在周期小波基中的展开来表示所有动力变量。
{"title":"Nonlinear accelerator problems via wavelets. II. Orbital dynamics in general multipolar field","authors":"A. Fedorova, M. Zeitlin","doi":"10.1109/PAC.1999.792976","DOIUrl":"https://doi.org/10.1109/PAC.1999.792976","url":null,"abstract":"For refs. to previous papers see Fedorova et al., AIP Conf. Proc., vol.468, p.69 (1999). In this series of eight papers we present the applications of methods from wavelet analysis to polynomial approximations for a number of accelerator physics problems. In this part we consider orbital motion in the transverse plane for a single particle in a circular magnetic lattice in the case when we take into account multipolar expansion up to an arbitrary finite number. We reduce initial dynamical problem to a finite number (equal to the number of n-poles) of standard algebraical problems and represent all dynamical variables via an expansion in the base of periodic wavelets.","PeriodicalId":20453,"journal":{"name":"Proceedings of the 1999 Particle Accelerator Conference (Cat. No.99CH36366)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1999-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77104263","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this series of eight papers we present the applications of methods from wavelet analysis to polynomial approximations for a number of accelerator physics problems. In this part we consider a model for spin-orbital motion: orbital dynamics and Thomas-BMT equations for classical spin vector. We represent the solution of this dynamical system in framework of biorthogonal wavelets via the variational approach. We consider a different variational approach, which is applied to each scale.
{"title":"Nonlinear accelerator problems via wavelets. IV. Spin-orbital motion","authors":"A. Fedorova, M. Zeitlin","doi":"10.1109/PAC.1999.792978","DOIUrl":"https://doi.org/10.1109/PAC.1999.792978","url":null,"abstract":"In this series of eight papers we present the applications of methods from wavelet analysis to polynomial approximations for a number of accelerator physics problems. In this part we consider a model for spin-orbital motion: orbital dynamics and Thomas-BMT equations for classical spin vector. We represent the solution of this dynamical system in framework of biorthogonal wavelets via the variational approach. We consider a different variational approach, which is applied to each scale.","PeriodicalId":20453,"journal":{"name":"Proceedings of the 1999 Particle Accelerator Conference (Cat. No.99CH36366)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1999-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76502807","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
U. Hahn, J. Pfluger, M. Ruter, P. Den Hartog, M. Erdmann, E. Trakhtenberg, G. Wiemerslage, S. Xu
A vacuum chamber for the VUV SASE FEL undulators at the TESLA Test Facility (TTF) was designed, a prototype was built and tested, and seven complete chambers were manufactured. The chambers use the aluminum extrusion technology developed for the insertion device vacuum chambers of the Advanced Photon Source. Each chamber is 4.5 m long with a beam aperture of 9.5 mm and an external thickness of 11.5 mm. Three of the chambers include ports for integral beam position monitors (10 horizontal and vertical pairs) inserted into the chambers, and all of the chambers include grooves for mounting correction coils. Bimetallic flanges (stainless steel to aluminum) are welded to the ends of the chamber for connection to the beamline. Special processing was performed to meet. The stringent vacuum and particle-free requirements of the TTF.
{"title":"The vacuum chambers for the VUV SASE FEL at the TESLA Test Facility (TTF FEL) at DESY","authors":"U. Hahn, J. Pfluger, M. Ruter, P. Den Hartog, M. Erdmann, E. Trakhtenberg, G. Wiemerslage, S. Xu","doi":"10.1109/PAC.1999.795551","DOIUrl":"https://doi.org/10.1109/PAC.1999.795551","url":null,"abstract":"A vacuum chamber for the VUV SASE FEL undulators at the TESLA Test Facility (TTF) was designed, a prototype was built and tested, and seven complete chambers were manufactured. The chambers use the aluminum extrusion technology developed for the insertion device vacuum chambers of the Advanced Photon Source. Each chamber is 4.5 m long with a beam aperture of 9.5 mm and an external thickness of 11.5 mm. Three of the chambers include ports for integral beam position monitors (10 horizontal and vertical pairs) inserted into the chambers, and all of the chambers include grooves for mounting correction coils. Bimetallic flanges (stainless steel to aluminum) are welded to the ends of the chamber for connection to the beamline. Special processing was performed to meet. The stringent vacuum and particle-free requirements of the TTF.","PeriodicalId":20453,"journal":{"name":"Proceedings of the 1999 Particle Accelerator Conference (Cat. No.99CH36366)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1999-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89119639","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The design, construction, and assembly procedure of 24 RF beam position monitors used in the Advanced Photon Source low-energy undulator test line and linear accelerator (linac) are described. Beam stability as well as beam positioning capabilities are essential to the LEUTL project. A design objective of the LEUTL facility is to achieve better than 1-/spl mu/m resolution. The highest care was used in the mechanical fabrication and assembly of the BPM units. The latest experimental results using these BPMs are presented.
{"title":"Construction and measurement techniques for the APS LEUTL project RF beam position monitors","authors":"A. Gorski, R. Lill","doi":"10.1109/PAC.1999.795565","DOIUrl":"https://doi.org/10.1109/PAC.1999.795565","url":null,"abstract":"The design, construction, and assembly procedure of 24 RF beam position monitors used in the Advanced Photon Source low-energy undulator test line and linear accelerator (linac) are described. Beam stability as well as beam positioning capabilities are essential to the LEUTL project. A design objective of the LEUTL facility is to achieve better than 1-/spl mu/m resolution. The highest care was used in the mechanical fabrication and assembly of the BPM units. The latest experimental results using these BPMs are presented.","PeriodicalId":20453,"journal":{"name":"Proceedings of the 1999 Particle Accelerator Conference (Cat. No.99CH36366)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1999-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81664792","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
I. Vasserman, R. Dejus, P. Den Hartog, M. Erdmann, E. Gluskin, E. Moog, E. Trakhtenberg
Two insertion device magnetic structures have been prepared for the Advanced Photon Source (APS) FEL project. The magnetic structures are standard APS undulators, 2.4 m long with 3.3-cm period. Measurements and tuning of the undulators have been completed at a magnetic gap of about 9.3 mm, where K is 3.1. Special measurement and tuning techniques were used to satisfy the tight trajectory straightness requirement that the second field integral be less than 3.3 kG-cm/sup 2/. The magnetic field strengths of the undulators must be well matched; this leads to the requirement that the magnetic gap must be controlled to better than 10 microns. Proper phasing between the undulators is ensured by adjusting the length of the drift space between the undulators. The drift space length that is needed is strongly affected by the end fields of the magnetic structures. The results of measurements of the magnetic field and calculations of the drift length are provided.
{"title":"Magnetic measurements and tuning of undulators for the APS FEL project","authors":"I. Vasserman, R. Dejus, P. Den Hartog, M. Erdmann, E. Gluskin, E. Moog, E. Trakhtenberg","doi":"10.1109/PAC.1999.792741","DOIUrl":"https://doi.org/10.1109/PAC.1999.792741","url":null,"abstract":"Two insertion device magnetic structures have been prepared for the Advanced Photon Source (APS) FEL project. The magnetic structures are standard APS undulators, 2.4 m long with 3.3-cm period. Measurements and tuning of the undulators have been completed at a magnetic gap of about 9.3 mm, where K is 3.1. Special measurement and tuning techniques were used to satisfy the tight trajectory straightness requirement that the second field integral be less than 3.3 kG-cm/sup 2/. The magnetic field strengths of the undulators must be well matched; this leads to the requirement that the magnetic gap must be controlled to better than 10 microns. Proper phasing between the undulators is ensured by adjusting the length of the drift space between the undulators. The drift space length that is needed is strongly affected by the end fields of the magnetic structures. The results of measurements of the magnetic field and calculations of the drift length are provided.","PeriodicalId":20453,"journal":{"name":"Proceedings of the 1999 Particle Accelerator Conference (Cat. No.99CH36366)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1999-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91539817","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
S. Milton, S. Biedron, P. Den Hartog, J. Lewellen, E. Moog, A. Nassiri, G. Travish
A self-amplified spontaneous emission (SASE) free-electron laser (FEL) is under construction at the Advanced Photon Source (APS). Three gun systems, an rf-test area, laser room, numerous diagnostics, a transfer line at the end of the linac and a new building, which will serve as the experimental hall, have been added. The only remaining items to be installed are the undulators into the beamline. Here, the additions to the APS in support of this project as well as commissioning results and future plans will be discussed.
{"title":"The APS SASE FEL: status and commissioning results","authors":"S. Milton, S. Biedron, P. Den Hartog, J. Lewellen, E. Moog, A. Nassiri, G. Travish","doi":"10.1109/PAC.1999.792738","DOIUrl":"https://doi.org/10.1109/PAC.1999.792738","url":null,"abstract":"A self-amplified spontaneous emission (SASE) free-electron laser (FEL) is under construction at the Advanced Photon Source (APS). Three gun systems, an rf-test area, laser room, numerous diagnostics, a transfer line at the end of the linac and a new building, which will serve as the experimental hall, have been added. The only remaining items to be installed are the undulators into the beamline. Here, the additions to the APS in support of this project as well as commissioning results and future plans will be discussed.","PeriodicalId":20453,"journal":{"name":"Proceedings of the 1999 Particle Accelerator Conference (Cat. No.99CH36366)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1999-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72912185","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The mechanical design, construction, and assembly procedure of six different septum magnet designs used in the Advanced Photon Source (APS) facility will be described. This will include a positron accumulator ring (PAR) AC septum magnet, a synchrotron thin injection septum, AC thin and thick extraction septa, and storage ring AC thick and thin injection septum magnets. Design parameters, material selection, assembly procedures, and operational results will be presented.
{"title":"Design and construction of septum magnets at the 7-GeV APS","authors":"A. Gorski, R. Wright, C. Pitts, S. Sharma","doi":"10.1109/PAC.1999.792297","DOIUrl":"https://doi.org/10.1109/PAC.1999.792297","url":null,"abstract":"The mechanical design, construction, and assembly procedure of six different septum magnet designs used in the Advanced Photon Source (APS) facility will be described. This will include a positron accumulator ring (PAR) AC septum magnet, a synchrotron thin injection septum, AC thin and thick extraction septa, and storage ring AC thick and thin injection septum magnets. Design parameters, material selection, assembly procedures, and operational results will be presented.","PeriodicalId":20453,"journal":{"name":"Proceedings of the 1999 Particle Accelerator Conference (Cat. No.99CH36366)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1999-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76550319","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
E. Lessner, D. Mangra, J. Power, P. Schoessow, M. White
Slow-positron beams produced from negative-work-function solid-state moderators have found numerous applications in condensed matter physics. There are potential advantages in using low-energy primary electron beams for positron production, including reduced radiation damage to single-crystal moderators and reduced activation of nearby components. We present numerical calculations of positron yields and other beam parameters for various target-moderator configurations using the Argonne Wakefield Accelerator (AWA) and Advanced Photon Source (APS) electron linacs as examples of sources for the primary electron beams. The status of experiments at these facilities is reviewed.
{"title":"Studies of slow-positron production using low-energy primary electron beams","authors":"E. Lessner, D. Mangra, J. Power, P. Schoessow, M. White","doi":"10.1109/PAC.1999.794330","DOIUrl":"https://doi.org/10.1109/PAC.1999.794330","url":null,"abstract":"Slow-positron beams produced from negative-work-function solid-state moderators have found numerous applications in condensed matter physics. There are potential advantages in using low-energy primary electron beams for positron production, including reduced radiation damage to single-crystal moderators and reduced activation of nearby components. We present numerical calculations of positron yields and other beam parameters for various target-moderator configurations using the Argonne Wakefield Accelerator (AWA) and Advanced Photon Source (APS) electron linacs as examples of sources for the primary electron beams. The status of experiments at these facilities is reviewed.","PeriodicalId":20453,"journal":{"name":"Proceedings of the 1999 Particle Accelerator Conference (Cat. No.99CH36366)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1999-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77866576","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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