Complex Bend II

Abstract

We present a new optics solution for the Complex Bend, which offers to substantially reduce the device length by removing the dipole poles. The bending is now realized by shifting the quadrupole poles along the horizontal axis. The ring optics can be stable if a specific condition on the relationship between the shifts of focusing and defocusing poles is satisfied. This condition is described in Section 2 of this Tech note. Section 1 describes general analysis of beam transport in a shifted quadrupole. Section 3 presents a set of parameters for such a ring, assuming that a single cell of the Complex Bend consists of 2 Combined Function dipoles. Section 4 describes more realistic model of a single cell constructed with two quadrupoles shifted off their reference trajectory. Section 5 is dedicated to calculations of synchrotron radiation from Complex Bend poles. Throughout this preprint we will call the QF-D-B-D-QD-D-B-D version as Complex Bend I (CBI) and the QF-D-QD-D version as Complex Bend II (CBII).