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mrkhm
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Dear reader ( and potential helper)
I appreciate the time you have taken to even just glance at this topic and for those able to shed some light in any helpful direction, your assistance is greatly appreciated...
A thin magnetic quadrupole lens may be described by transfer matrices in trace space:
http://www.khmsolutions.net/p1.jpg
and analogous for y and y′. Positive (negative) focal length f corresponds to focusing (defocusing) in the x-z-plane and defocusing (focusing) in the y-z-plane. Field-free drift over a length L is represented by
http://www.khmsolutions.net/p2.jpg
Consider the combination of an x-focusing (y-defocusing) quadrupole (f1 > 0), a drift space (L1), an x-defocusing (y-focusing) quadrupole (f2 < 0), and another drift space (L2).
(i) What are the respective transfer matrices for this combination in the x-x′- and y-y′-trace spaces?
(ii)Under what conditions does this combination focus an initially parallel beam to a single point?
help...
help please...
I appreciate the time you have taken to even just glance at this topic and for those able to shed some light in any helpful direction, your assistance is greatly appreciated...
Homework Statement
A thin magnetic quadrupole lens may be described by transfer matrices in trace space:
http://www.khmsolutions.net/p1.jpg
and analogous for y and y′. Positive (negative) focal length f corresponds to focusing (defocusing) in the x-z-plane and defocusing (focusing) in the y-z-plane. Field-free drift over a length L is represented by
http://www.khmsolutions.net/p2.jpg
Consider the combination of an x-focusing (y-defocusing) quadrupole (f1 > 0), a drift space (L1), an x-defocusing (y-focusing) quadrupole (f2 < 0), and another drift space (L2).
(i) What are the respective transfer matrices for this combination in the x-x′- and y-y′-trace spaces?
(ii)Under what conditions does this combination focus an initially parallel beam to a single point?
Homework Equations
help...
The Attempt at a Solution
help please...
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