Consiglio Nazionale delle Ricerche
Diffusion, localization and absorption of light waves in photonic systems are commonly described in terms of transmission and reflection coefficients as well as absorption end emission rates. I will address the problem of light scattering from a different point of view by shifting the perspective from energy related quantities to information-related concepts. I will explain and show experimental evidence about the basic relation linking the structural complexity of the scattering potential (the configurational entropy), and the Shannon entropy of the Local Density of States, i.e. the maximum amount of optical information extractable from the system itself. To test our hypothesis, we study a prototypical realization of a scattering landscape, that is a disordered photonic system consisting of a slab waveguide patterned with a random distribution of circular holes generated with a random-sequential adsorption (RSA) algorithm. This geometry allows full control over its fabrication, lends itself to both a statistical and thermodynamic estimation of its configurational entropy, and has a geometry which offers perfect knowledge about its final structure and associated LDOS. The equivalence between structural and optical information can be observed experimentally when accounting properly for intrinsic, all-order structural correlations. Determining the information capacity of a nanostructured surface is directly relevant to the understanding of the limits for the real density of optical information storage (e.g.,for supports such as CDs and DVDs and more recent multi-dimensional optical supports), but has also critical consequences on cybersecurity applications in the emerging field of optical Physical Unclonable Functions (PUFs)[3]), which are often (optimistically) considered infinite reservoirs of entropy.
Abstract
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