Nonlinear Dynamics in the Spear3 Double-waist Chicane*
نویسندگان
چکیده
One of the two 7.6 m long straight sections in SPEAR3 has been divided into two short straights to provide places for two new small-gap insertion devices (IDs) [1,2]. A chicane generates an angular separation of 10 mrad between the two straights. A quadrupole triplet has been added in the center of the 7.6 m long chicane to create a ‘double-waist chicane’ optics with βy=1.6 m at the center of each of two future IDs. The new optics also reduces βy to 2.5 m in the four 4.8 m straight sections. In this paper, we discuss nonlinear dynamic studies associated with design and implementation of the new optics. We present tracking results generated during the design stage and compare them to nonlinear dynamics measurements made with the quadrupole triplet installed in SPEAR3. INTRODUCTION The double-waist chicane optics were designed over the course of four years, culminating in final optics design reviews in 2004 [1]. Details of the linear optics design can be found in these proceedings [2]. The new optics has reduced βy at six locations, with stronger focusing, higher vertical tune and chromaticity, and stronger sextupole strengths. The new quadrupole triplet was installed in SPEAR3 in summer, 2005, to enable testing of the new optics during the 2005-2006 run. Measurements over the past several months have shown that the optics perform as expected, with good injection and lifetime. Delivery of user beam in the new optics will start this fall. This paper will present the nonlinear dynamics tracking studies that were done for the 2004 optics design reviews, and will compare the tracking to subsequent beam measurements.
منابع مشابه
Dynamics and Regulation of Locomotion of a Human Swing Leg as a Double-Pendulum Considering Self-Impact Joint Constraint
Background:Despite some successful dynamic simulation of self-impact double pendulum (SIDP)-as humanoid robots legs or arms- studies, there is limited information available about the control of one leg locomotion.Objective :The main goal of this research is to improve the reliability of the mammalians leg locomotion and building more elaborated models close to the natural movements, by modelin...
متن کاملStudy of Low β y Straight Section in SPEAR 3 1
The SPEAR 3 light source [1] has two 7.6 m straight sections one of which is available for new insertion devices (ID). By reducing the vertical β y function at the center of the straight from 9.8 m to 1.5 m, the beam size can be decreased from 44 µm to 17 µm to reduce the ID gap, but the ID length may be limited by the increased β y variation in the ID. Alternatively , a " double waist " optics...
متن کاملDefinition of General Operator Space and The s-gap Metric for Measuring Robust Stability of Control Systems with Nonlinear Dynamics
In the recent decades, metrics have been introduced as mathematical tools to determine the robust stability of the closed loop control systems. However, the metrics drawback is their limited applications in the closed loop control systems with nonlinear dynamics. As a solution in the literature, applying the metric theories to the linearized models is suggested. In this paper, we show that usin...
متن کاملVARIATIONAL HOMOTOPY PERTURBATION METHOD FOR SOLVING THE NONLINEAR GAS DYNAMICS EQUATION
A. Noor et al. [7] analyze a technique by combining the variational iteration method and the homotopy perturbation method which is called the variational homotopy perturbation method (VHPM) for solving higher dimensional initial boundary value problems. In this paper, we consider the VHPM to obtain exact solution to Gas Dynamics equation.
متن کاملOn the dynamics of Airy beams in nonlinear media with nonlinear losses.
We investigate on the nonlinear dynamics of Airy beams in a regime where nonlinear losses due to multi-photon absorption are significant. We identify the nonlinear Airy beam (NAB) that preserves the amplitude of the inward Hänkel component as an attractor of the dynamics. This attractor governs also the dynamics of finite-power (apodized) Airy beams, irrespective of the location of the entrance...
متن کامل