X-Ray Optics in the BMAD Beam Dynamics Computer Code

Joel Brock, Georg Hoffstaetter, David Sagan, Karthik Narayan

Subroutine library for Accelerator Beam Physics

Used by Tao (Tool for Accelerator Optics)

Variable local reference coordinates

Locally, in flat orbits

Attributes Graze angle X-offset Y-offset Graze angle error Graze curvature Transverse curvature Tilt Tilt error X-pitch Y-pitch

Beam Attributes (Six Vector) X Px Y Py Z Pz

The following variables are ideally very small:

X_offsetgraze_angle_errbeam_start xbeam_start px

Property Value

Graze angle 40.07623°

Graze angle error

13.76028 °

X_Offset 7.11982 mm

Beam x offset 14.77663 mm

Beam px 0.85002

Final x orbit 6.39 082mm

COMPLETED

Graze angle X offset Graze angle error Graze curvature X-pitch

Transfer matrix for graze angle, x offset, and graze angle error

TO BE COMPLETED

Y-offset Transverse curvature Tilt Tilt error Y-pitch

Transformation matrix with all offsets and errors

Higher order non-linear terms

Canonical z-coordinate equations

The Physics of Particle Accelerators by Klaus Wille General accelerator physics concepts

Particle Accelerator Physics by Helmut Wiedemann Transfer matrices, deeper concepts

The BMAD Reference Manual by David Sagan Coordinate systems, element attributes

The Tao Reference Manual by David Sagan, Jeffrey Smith Lattice configuration, element configuration

BMAD (baby/better/be) Subroutine Library Back end testing purposes

Tao (Tool for Accelerator Optics) Front end testing purposes

The Geometer’s Sketchpad 2D drawing environment

Questions? Comments? Concerns?