U.S. Particle Accelerator School

Large Scale Metrology of Accelerators course

Sponsoring University:

Duke University


Large Scale Metrology of Accelerators - this course has been cancelled
Duke PHY745 Section 4, "Special Topics in Accelerator Physics"


Catherine LeCocq and Georg Gassner, SLAC National Accelerator Lab

Purpose and Audience
The purpose of this course is to introduce the students to the survey and geometric alignment of particle beam accelerators. This course is suitable for graduate students, senior undergraduate students or students from other fields who want to gain a deeper understanding of the methodology applied to Large Scale Metrology (LSM) Accelerator Alignment. This course also can provide a broader background to engineers and technicians working in the particle accelerator field.

College-level courses in Linear Algebra, Probability and Statistics.

It is the responsibility of the student to ensure that he or she meets the course prerequisites or has equivalent experience.

This introductory course will span from alignment instrumentation and measurement principles to monitoring equipment with a focus on the basic principles of LSM as applied to the alignment of particle accelerators. Fundamental principles of geodesy which are needed to build global and local reference frames are introduced. The geodesy specific notation of least-squares data analysis is presented. Survey and alignment procedures and technologies are explored, with emphasis on applications found in the field of particle accelerators. On completion of this course, the students are expected to understand the basic approach to accelerator alignment. Furthermore, they will be able to analyze the geometry of alignment reference networks and of survey observations.

Instructional Method
This course includes a series of lectures during morning and afternoon sessions. The afternoon sessions will usually include laboratory sessions, which will introduce students to computer simulations and data analysis, and provide hands-on exploration of alignment equipment. Problem sets may be assigned and will be expected to be completed outside of scheduled class sessions. Two instructors will be available at all times.

Course Content
This course is based first on a methodical /mathematical part which is always accompanied by a practical /instrumental part and examples and real live applications. Instruction material will be distributed.
Days one and two will show how to establish localized geodetic reference systems, including tying them to the experiment coordinate system. Relationships between all these references systems will be studied. Special emphasis on height systems and their implementation will be provided.

The program for days three and four will focus on the principle least squares adjustment and its application to alignment reference networks and simulations. On the instrument side, we will show how to use laser trackers, digital levels etc.. Special emphasis will be given to differentiating the instruments for specific applications and the obtainable measurement accuracy. Examples of recent alignment projects will be discussed. As an additional topic geometric monitoring systems will be presented.

Day 5 will have a written exam and comment on the exam correction with room for an open discussion.

Reading Requirements
Instructors will provide lecture notes.

Optional Reading
“Geodesy”, W. Torge, 2 nd Edition, de Gryter, Berlin, 1991
“GPS – Theory and Practice”, B. Hofmann-Wellenhof, et.al., 5 th Edition, Springer Verlag, New York, 2001

Credit Requirements
Students will be evaluated based on performance: final exam (30 % of final grade), homework assignments (50 % of final grade) computer/lab sessions (20 % of final grade).

IU/USPAS course: Physics 671