A transmission matrix <i>T</i> is defined as a computational aid for determining refractive indices from the Fourier coefficients of the reflected amplitude in thin-film synthesis. It is shown that the matrix <i>T</i> acts as the term factor in geometric series expansions of the reflected and transmitted amplitudes for a stack of films of equal optical thickness.
© 1982 Optical Society of America
I. J. Hodgkinson and R. G. Stuart, "Thin-film-synthesis algorithm for realization of refractive indices and Airy summation," J. Opt. Soc. Am. 72, 396-398 (1982)