Dynamical diffraction and band structure analysis application to the design of vapor sensors based on porous silicon microcavities

Vito Mocella; Luigi Moretti; Luca De Stefano; Ivo Rendina

doi:10.1117/12.588618

13 April 2005 Dynamical diffraction and band structure analysis application to the design of vapor sensors based on porous silicon microcavities

Vito Mocella, Luigi Moretti, Luca De Stefano, Ivo Rendina

Author Affiliations +

Proceedings Volume 5733, Photonic Crystal Materials and Devices III; (2005) https://doi.org/10.1117/12.588618
Event: Integrated Optoelectronic Devices 2005, 2005, San Jose, California, United States

Abstract

Two different original theoretical approach for the analysis of vapour sensors based on a porous silicon optical microcavity are presented. The devices under analysis are based on a cavity with a high porosity layer of optical thickness λ_B/2, where λ_B is the Bragg resonant wavelength. This is enclosed between two distributed Bragg reflectors with seven periods made of alternate low and high porosity layers. When such a porous silicon microcavity is exposed to chemical vapours, a marked red-shift of its resonant peak, ascribed to capillary condensation of vapour in the pores, is observed. According to the first approach, the features of porous silicon microcavities are analyzed looking at the correspondent band structure. In particular, the microcavity structure is viewed as a 1-D photonic crystal with a defect of optical thickness λ_B/2 giving rise to a narrow resonant transmittance peak at λ_B in a wide transmittivity stop-band. We then compare the derivation of the band structure with an original approach based on the dynamical diffraction theory, the same widely used in x-ray diffraction. Using this approach we get an analytical expression of the reflectivity, giving the position but also the shape of the resonant peak.

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Vito Mocella, Luigi Moretti, Luca De Stefano, and Ivo Rendina "Dynamical diffraction and band structure analysis application to the design of vapor sensors based on porous silicon microcavities", Proc. SPIE 5733, Photonic Crystal Materials and Devices III, (13 April 2005); https://doi.org/10.1117/12.588618

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KEYWORDS

Optical microcavities

Photonic crystals

Silicon

Reflectivity

Diffraction

Liquids

Radio propagation

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