In partial fulfillment of the requirements for the degree of Doctor of Philosophy from Michigan State University.
It is shown that, independent of the choice and arrangement of such cells, there is a certain minimum number of conditions for a given order; for example, this number is five for the first order, four for the second order, fifteen for the third order, fifteen for the fourth order, and thirty-nine for the fifth and sixth orders. It is shown that the minimum number of cells necessary to reach this optimum level is four, and four of the sixty-four possible four-cell symmetry arrangements are optimal systems. Various third-, fourth- and fifth-order achromats are designed and potential applications are discussed.
W. Wan (1995)
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