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A novel fabrication process is presented using monodisperse PMMA latex particles to facilitate controlled microvoid formation. This results in hierarchically rough surfaces exhibiting ∼90% optical transmission while retaining water contact angle (θ) of 170°. Synchrotron small angle X-ray scattering, AFM roughness measurements, and theoretical modeling suggests that a surface morphology with fractal dimension of ∼2.6 and R a < 400 nm allows for the optimum coupling of roughness-induced superhydrophobicity and optical transparency. Interestingly, surfaces of vastly different roughness ( R rms ) exhibited similar water contact angles, highlighting a limitation of traditional AFM roughness measurements in quantifying multiscale rough surfaces. An alternate method considering fractal dimension is presented as a more complete quantifier of hierarchical surface morphology in relation to surface wetting behavior.
Cho et al. (Mon,) studied this question.