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TY - CONF AU - Kaltchev, D. ED - Koscielniak, Shane ED - Satogata, Todd ED - Schaa, Volker RW ED - Thomson, Jana TI - Fourier Coefficients of Long-Range Beam-Beam Hamiltonian via Two-Dimensional Bessel functions J2 - Proc. of IPAC2018, Vancouver, BC, Canada, April 29-May 4, 2018 C1 - Vancouver, BC, Canada T2 - International Particle Accelerator Conference T3 - 9 LA - english AB - The two-dimensional coefficients (resonance basis) in the Fourier expansion of the long-range beam-beam Hamiltonian have been expressed through the (less familiar) generalized modified Bessel functions of two arguments. We describe an efficient method to compute these coefficients based on the above representation. The method has been applied to HL-LHC lattices and benchmarked against MadX simulations of detuning. PB - JACoW Publishing CP - Geneva, Switzerland SP - 3486 EP - 3488 KW - resonance KW - lattice KW - optics KW - emittance KW - TRIUMF DA - 2018/06 PY - 2018 SN - 978-3-95450-184-7 DO - 10.18429/JACoW-IPAC2018-THPAK108 UR - http://jacow.org/ipac2018/papers/thpak108.pdf ER -