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The formulae relevant for the Linear Optics design of Synchrotrons arederived systematically from first principles, a straightforward exercise inHamiltonian Dynamics. Equipped with these, the relevant "Use Cases" are thencaptured for a streamlined approach. This will enable professionals -- SoftwareEngineers -- to efficiently prototype & architect a CAD Tool for ditto;something which has been available to Mechanical Engineers since the mid-1960s.

A CAD Tool for Linear Optics Design: A Controls Engineer's Geometric Approach to Hill's Equation