Real-World Applicationshard
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The ray transfer matrix (ABCD matrix) for a thin lens of focal length is M_{lens} = \\begin{pmatrix} 1 & 0 \\ -1/f & 1 \\end{pmatrix}, and for a free space drift of distance is M_{drift} = \\begin{pmatrix} 1 & d \\ 0 & 1 \\end{pmatrix}. An optical system consists of a thin lens of focal length cm, followed by a drift of distance cm, followed by another thin lens of focal length cm. What is the element (top-left entry) of the system's overall ABCD matrix?
The ray transfer matrix (ABCD matrix) for a thin lens of focal length is M_{lens} = \\begin{pmatrix} 1 & 0 \\ -1/f & 1 \\end{pmatrix}, and for a free space drift of distance is M_{drift} = \\begin{pmatrix} 1 & d \\ 0 & 1 \\end{pmatrix}. An optical system consists of a thin lens of focal length cm, followed by a drift of distance cm, followed by another thin lens of focal length cm. What is the element (top-left entry) of the system's overall ABCD matrix?