Article Dans Une Revue Physica B: Condensed Matter Année : 2003

Catastrophe theory interpretation of multiple peaks produced by light scattering from very rough dielectric surfaces

Résumé

Dielectric rough surfaces, which scatter light with several maxima of intensity, are investigated in the framework of the geometrical optics approach. We consider surfaces between two media of refractive indices n1 and n2 + ik2. In this case, previous works notice two maxima in the plane of incidence: near the Brewster angle (p-polarization), or near the critical angle (if n1 > n2). New effects are predicted here: three maxima in the plane of incidence near the Brewster and the critical angles (with n1 > n2 in p-polarization); and two maxima in the cross-polarized components, near the critical angle (if n1 > n2). We show that such "multiple maxima" effects disappear when k2 increases. We demonstrate that the transition is accounted for rigorously by Thom's catastrophe theory and corresponds to a cusp catastrophe

Dates et versions

hal-00002707 , version 1 (27-08-2004)

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Citer

J. Caron, J. Lafait, Christine Andraud. Catastrophe theory interpretation of multiple peaks produced by light scattering from very rough dielectric surfaces. Physica B: Condensed Matter, 2003, 325, pp.76. ⟨10.1016/S0921-4526(02)01452-7⟩. ⟨hal-00002707⟩
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