Orbit calculations and lattice parameters for the BNL (Brookhaven National Laboratory) SXLS (Superconducting X-Ray Lithography Source)

Technical Report · Tue May 01 00:00:00 EDT 1990

DOI:https://doi.org/10.2172/6972363· OSTI ID:6972363

Blumberg, L N; Murphy, J B

In a previous report we described the method for integration of the equations of motion in cylindrical coordinates through the nonlinear magnetic fields of the 180 degree SXLS bending magnets using a 4th order Runge-Kutta method and fields generated by the TOSCA program. Closed orbits were calculated for a sample two-coil conductor configuration -- one coil above and below the median plane -- and tunes of small amplitude oscillations about these orbits were evaluated. Several values of the betatron functions beta and eta were obtained at convenient points in the lattice where the alpha function was zero. In the present report, we describe the method for calculating the {alpha},{beta},{eta}and {eta}{prime} functions along the closed orbit within the magnet as well as the normalized field index function n/{rho}{sup 3}, where {rho} is the radius of curvature. The functions are then used to evaluate the synchrotron radiation integrals which yield the physical properties of the ring such as energy and betatron oscillation damping times, the damped emittance, and the energy loss per turn. These qualities are compared to previous calculations of Murphy and Vignola, who used a combined dipole plus gradient magnet with linear fringe field drop-off, and the agreement is excellent. 8 refs., 9 figs., 6 tabs.

• Research Organization: Brookhaven National Lab. (BNL), Upton, NY (United States)
• Sponsoring Organization: DOE/ER
• DOE Contract Number: AC02-76CH00016
• OSTI ID: 6972363
• Report Number(s): BNL-44583; ON: DE90011121; TRN: 90-015962
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
BEAM DYNAMICS
CALCULATION METHODS
ORBITS
EQUATIONS OF MOTION
BEAM BENDING MAGNETS
BEAM EMITTANCE
BETATRON OSCILLATIONS
SUPERCONDUCTING MAGNETS
SYNCHROTRON RADIATION
BREMSSTRAHLUNG
DIFFERENTIAL EQUATIONS
ELECTRICAL EQUIPMENT
ELECTROMAGNETIC RADIATION
ELECTROMAGNETS
EQUATIONS
EQUIPMENT
MAGNETS
OSCILLATIONS
PARTIAL DIFFERENTIAL EQUATIONS
RADIATIONS
SUPERCONDUCTING DEVICES
430200* - Particle Accelerators- Beam Dynamics
Field Calculations
& Ion Optics