Abstract

Optical coatings with 13, 34, 55, and 89 quarter-wave layers of high- and low-index dielectric materials arranged in Fibonacci sequences F₆, F₈, F₉, and F₁₀, respectively, were deposited with use of a reactive low-voltage ion plating process. The calculated average transmission (T_ave) for ϕ = (1/2 ± 1/4)π follows a power law T_ave ≈ N_m^−δ, where N_m is the number of optical quarter-wave layers in a Fibonacci sequence F_m. The critical exponent δ for these multilayers is compared with a renormalization calculation of the exponent governing the total energy width for an electronic system of Fibonacci layers. Spectral-transmittance measurements of the experimental Fibonacci multilayers show some deviation from the calculated spectral transmittance, which is due primarily to absorption in the short-wavelength range, but these measurements do still indicate that the observed optical field patterns are critical.

© 1993 Optical Society of America

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