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Publication details
Reflectance of non-uniform thin films
Authors | |
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Year of publication | 2009 |
Type | Article in Periodical |
Magazine / Source | Journal of Optics A: Pure and Applied Optics |
MU Faculty or unit | |
Citation | |
Field | Optics, masers and lasers |
Keywords | thin films; thickness non-uniformity; spectrophotometry |
Description | A general formula for the reflectance of a thin film with non-uniform thickness is derived based on expressing its thickness distribution density. Examples of such thickness distribution densities, corresponding to various shapes of the thickness non-uniformity, are presented. In addition, a reflectance formula is derived as the second-order approximation of the general formula expanded into a power series in the root mean square (rms) value of the thickness distribution. By means of a numerical analysis, it is shown that for greater non-uniformities it is necessary to take into account their concrete shapes in the optical characterization, whereas for small non-uniformities the concrete shape is of no importance for the characterization. The theoretical results are applied to the complete optical characterization of a selected non-uniform carbon nitride film. |
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