Tunable NIR filter based on a free-standing porous silicon film containing nematic liquid crystal

We present the design of a thermally tunable interference filter for the NIR range. The filter is based on a free-standing porous silicon multilayer filled with the nematic liquid crystal mixture E7. The porous silicon stack is constituted by a quarter-wave microcavity sandwiched between two distributed Bragg reflectors. Reversible thermal tuning of the microcavity resonance is obtained in the range of 13 nm. Thermal dependence of the effective refractive index of the liquid crystal in the sample is characterized using variable angle spectroscopic ellipsometry. The non-axial liquid crystal director configuration is found inside silicon mesopores. The distribution of the liquid crystal director within pores is simulated using the Frank's free energy approach. Assuming the molecular configuration of the liquid crystal to be escaped radial, we have determined the value of the surface anchoring strength in the mesoporous silicon to be less than 10−6  J m−2. By fitting the transmittance spectra, using an effective medium approximation and a transfer matrix method, the liquid crystal is found to fill 84% of the void inside the porous sample. The good agreement between the experimental data and the theoretical curves justifies the Frank's approach and the hypothesis of escape radial configuration of nematics confined in silicon mesopores.

[1]  Irving P. Herman,et al.  Use of hybrid phenomenological and statistical effective-medium theories of dielectric functions to model the infrared reflectance of porous SiC films , 2000 .

[2]  Luca De Stefano,et al.  Photonic band gaps analysis of Thue-Morse multilayers made of porous silicon. , 2006, Optics express.

[3]  Doane,et al.  Surface elastic and molecular-anchoring properties of nematic liquid crystals confined to cylindrical cavities. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[4]  広 久保田,et al.  Principle of Optics , 1960 .

[5]  L. De Stefano,et al.  Ellipsometric Study of Liquid Crystal Infiltrated Porous Silicon , 2007 .

[6]  Kurt Busch,et al.  Attenuation of optical transmission within the band gap of thin two-dimensional macroporous silicon photonic crystals , 1999 .

[7]  Shin-Tson Wu,et al.  Frequency tunability of solid-core photonic crystal fibers filled with nanoparticle-doped liquid crystals. , 2009, Optics express.

[8]  Lorenzo Pavesi,et al.  Random porous silicon multilayers: application to distributed Bragg reflectors and interferential Fabry - Pérot filters , 1997 .

[9]  M. Haurylau,et al.  Electrical modulation of silicon-based two-dimensional photonic bandgap structures , 2006 .

[10]  Philippe M. Fauchet,et al.  Macroporous Silicon Microcavities for Macromolecule Detection , 2005 .

[11]  Igor A. Sukhoivanov,et al.  Electrical reorientation of liquid crystal molecules inside cylindrical pores for photonic device applications , 2008 .

[12]  A. Mazzulla,et al.  Optical characterization of liquid crystals by combined ellipsometry and half-leaky-guided-mode spectroscopy in the visible-near infrared range , 2007 .

[13]  Control of the transmission spectrum of a photonic crystal with lattice defects , 2006 .

[14]  Philippe M. Fauchet,et al.  Electrically tunable porous silicon active mirrors , 2003 .

[15]  Volker Lehmann,et al.  Electrochemistry of Silicon: Instrumentation, Science, Materials and Applications , 2002 .

[16]  Shin‐Tson Wu,et al.  Infrared refractive indices of liquid crystals , 2005 .

[17]  Z. Gaburro,et al.  Free-standing porous silicon single and multiple optical cavities , 2003 .

[18]  Volker Lehmann,et al.  Electrochemistry of Silicon , 2002 .

[19]  A. Bjarklev,et al.  Biased liquid crystal infiltrated photonic bandgap fiber. , 2009, Optics express.

[20]  Huimin Ouyang,et al.  Electrical and thermal modulation of silicon photonic bandgap microcavities containing liquid crystals. , 2005, Optics express.

[21]  U. Gösele,et al.  Tunable defect mode in a three-dimensional photonic crystal , 2005 .

[22]  Kurt Busch,et al.  Liquid-Crystal Photonic-Band-Gap Materials: The Tunable Electromagnetic Vacuum , 1999 .

[23]  Ivo Rendina,et al.  Resonant cavity enhanced optical microsensor for molecular interactions based on porous silicon , 2006 .

[24]  R. Wehrspohn,et al.  Liquid crystal director fields in micropores of photonic crystals , 2007 .

[25]  D. R. Turner Electropolishing Silicon in Hydrofluoric Acid Solutions , 1958 .

[26]  Kurt Busch,et al.  Tunable two-dimensional photonic crystals using liquid crystal infiltration , 2000 .