Round Beam-Beam Map

Choose a value for the tune Q, and for the "tune shift parameter" xi, the strength of the single round beam-beam kick. Then enter the number of iterations. Hit return to make the number appear on the button that intially says "0 more", and then click the mouse in the window where you would like to launch a test particle. You may repeat this step several times! The following equations are used to generate the motion: 
 
	until done {
		Rotate (x,x') by 2*pi*Q
		x'  =  x' - 4 pi xi (2/x) [1 - exp(-x*x/2)]
	}
For example, you might want to try Q = 0.331, xi = 0.006, and 1,000 iterations.

Notes
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1) The vertical axis is BETATRON AMPLITUDE, a = sqrt(x*x + x'*x'), running from a = 0 to a = 6.
2) The horizontal axis is BETATRON PHASE, phi, where tan(phi) = x/x', running from phi = 0 to phi = 2 pi.

Take a look at some other maps: Last modified: Wed Nov 19 11:59:10 EST