Optimization of a label-free biosensor vertically characterized based on a periodic lattice of high aspect ratio SU-8 nano-pillars with a simplified 2D theoretical model

We have recently demonstrated a biosensor based on a lattice of SU8 pillars on a 1 μm SiO2/Si wafer by measuring vertically reflectivity as a function of wavelength. The biodetection has been proven with the combination of Bovine Serum Albumin (BSA) protein and its antibody (antiBSA). A BSA layer is attached to the pillars; the biorecognition of antiBSA involves a shift in the reflectivity curve, related with the concentration of antiBSA. A detection limit in the order of 2 ng/ml is achieved for a rhombic lattice of pillars with a lattice parameter (a) of 800 nm, a height (h) of 420 nm and a diameter(d) of 200 nm. These results correlate with calculations using 3D-finite difference time domain method. A 2D simplified model is proposed, consisting of a multilayer model where the pillars are turned into a 420 nm layer with an effective refractive index obtained by using Beam Propagation Method (BPM) algorithm. Results provided by this model are in good correlation with experimental data, reaching a reduction in time from one day to 15 minutes, giving a fast but accurate tool to optimize the design and maximizing sensitivity, and allows analyzing the influence of different variables (diameter, height and lattice parameter). Sensitivity is obtained for a variety of configurations, reaching a limit of detection under 1 ng/ml. Optimum design is not only chosen because of its sensitivity but also its feasibility, both from fabrication (limited by aspect ratio and proximity of the pillars) and fluidic point of view. (© 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

Biosensors based on vertically interrogated optofluidic sensing cells

El objetivo de la presente tesis doctoral es el desarrollo de un nuevo concepto de biosensor óptico sin marcado, basado en una combinación de técnicas de caracterización óptica de interrogación vertical y estructuras sub-micrométricas fabricadas sobre chips de silicio. Las características más importantes de dicho dispositivo son su simplicidad, tanto desde el punto de vista de medida óptica como de introducción de las muestras a medir en el área sensible, aspectos que suelen ser críticos en la mayoría de sensores encontrados en la literatura. Cada uno de los aspectos relacionados con el diseño de un biosensor, que son fundamentalmente cuatro (diseño fotónico, caracterización óptica, fabricación y fluídica/inmovilización química) son desarrollados en detalle en los capítulos correspondientes. En la primera parte de la tesis se hace una introducción al concepto de biosensor, en qué consiste, qué tipos hay y cuáles son los parámetros más comunes usados para cuantificar su comportamiento. Posteriormente se realiza un análisis del estado del arte en la materia, enfocado en particular en el área de biosensores ópticos sin marcado. Se introducen también cuáles son las reacciones bioquímicas a estudiar (inmunoensayos). En la segunda parte se describe en primer lugar cuáles son las técnicas ópticas empleadas en la caracterización: Reflectometría, Elipsometría y Espectrometría; además de los motivos que han llevado a su empleo. Posteriormente se introducen diversos diseños de las denominadas "celdas optofluídicas", que son los dispositivos en los que se va a producir la interacción bioquímica. Se presentan cuatro dispositivos diferentes, y junto con ellos, se proponen diversos métodos de cálculo teórico de la respuesta óptica esperada. Posteriormente se procede al cálculo de la sensibilidad esperada para cada una de las celdas, así como al análisis de los procesos de fabricación de cada una de ellas y su comportamiento fluídico. Una vez analizados todos los aspectos críticos del comportamiento del biosensor, se puede realizar un proceso de optimización de su diseño. Esto se realiza usando un modelo de cálculo simplificado (modelo 1.5-D) que permite la obtención de parámetros como la sensibilidad y el límite de detección de un gran número de dispositivos en un tiempo relativamente reducido. Para este proceso se escogen dos de las celdas optofluídicas propuestas. En la parte final de la tesis se muestran los resultados experimentales obtenidos. En primer lugar, se caracteriza una celda basada en agujeros sub-micrométricos como sensor de índice de refracción, usando para ello diferentes líquidos orgánicos; dichos resultados experimentales presentan una buena correlación con los cálculos teóricos previos, lo que permite validar el modelo conceptual presentado. Finalmente, se realiza un inmunoensayo químico sobre otra de las celdas propuestas (pilares nanométricos de polímero SU-8). Para ello se utiliza el inmunoensayo de albumina de suero bovino (BSA) y su anticuerpo (antiBSA). Se detalla el proceso de obtención de la celda, la funcionalización de la superficie con los bioreceptores (en este caso, BSA) y el proceso de biorreconocimiento. Este proceso permite dar una primera estimación de cuál es el límite de detección esperable para este tipo de sensores en un inmunoensayo estándar. En este caso, se alcanza un valor de 2.3 ng/mL, que es competitivo comparado con otros ensayos similares encontrados en la literatura. La principal conclusión de la tesis es que esta tipología de dispositivos puede ser usada como inmunosensor, y presenta ciertas ventajas respecto a los actualmente existentes. Estas ventajas vienen asociadas, de nuevo, a su simplicidad, tanto a la hora de medir ópticamente, como dentro del proceso de introducción de los bioanalitos en el área sensora (depositando simplemente una gota sobre la micro-nano-estructura). Los cálculos teorícos realizados en los procesos de optimización sugieren a su vez que el comportamiento del sensor, medido en magnitudes como límite de detección biológico puede ser ampliamente mejorado con una mayor compactación de pilares, alcanzandose un valor mínimo de 0.59 ng/mL). The objective of this thesis is to develop a new concept of optical label-free biosensor, based on a combination of vertical interrogation optical techniques and submicron structures fabricated over silicon chips. The most important features of this device are its simplicity, both from the point of view of optical measurement and regarding to the introduction of samples to be measured in the sensing area, which are often critical aspects in the majority of sensors found in the literature. Each of the aspects related to the design of biosensors, which are basically four (photonic design, optical characterization, fabrication and fluid / chemical immobilization) are developed in detail in the relevant chapters. The first part of the thesis consists of an introduction to the concept of biosensor: which elements consists of, existing types and the most common parameters used to quantify its behavior. Subsequently, an analysis of the state of the art in this area is presented, focusing in particular in the area of label free optical biosensors. What are also introduced to study biochemical reactions (immunoassays). The second part describes firstly the optical techniques used in the characterization: reflectometry, ellipsometry and spectrometry; in addition to the reasons that have led to their use. Subsequently several examples of the so-called "optofluidic cells" are introduced, which are the devices where the biochemical interactions take place. Four different devices are presented, and their optical response is calculated by using various methods. Then is exposed the calculation of the expected sensitivity for each of the cells, and the analysis of their fabrication processes and fluidic behavior at the sub-micrometric range. After analyzing all the critical aspects of the biosensor, it can be performed a process of optimization of a particular design. This is done using a simplified calculation model (1.5-D model calculation) that allows obtaining parameters such as sensitivity and the detection limit of a large number of devices in a relatively reduced time. For this process are chosen two different optofluidic cells, from the four previously proposed. The final part of the thesis is the exposition of the obtained experimental results. Firstly, a cell based sub-micrometric holes is characterized as refractive index sensor using different organic fluids, and such experimental results show a good correlation with previous theoretical calculations, allowing to validate the conceptual model presented. Finally, an immunoassay is performed on another typology of cell (SU-8 polymer pillars). This immunoassay uses bovine serum albumin (BSA) and its antibody (antiBSA). The processes for obtaining the cell surface functionalization with the bioreceptors (in this case, BSA) and the biorecognition (antiBSA) are detailed. This immunoassay can give a first estimation of which are the expected limit of detection values for this typology of sensors in a standard immunoassay. In this case, it reaches a value of 2.3 ng/mL, which is competitive with other similar assays found in the literature. The main conclusion of the thesis is that this type of device can be used as immunosensor, and has certain advantages over the existing ones. These advantages are associated again with its simplicity, by the simpler coupling of light and in the process of introduction of bioanalytes into the sensing areas (by depositing a droplet over the micro-nano-structure). Theoretical calculations made in optimizing processes suggest that the sensor Limit of detection can be greatly improved with higher compacting of the lattice of pillars, reaching a minimum value of 0.59 ng/mL).

Electrooptic characterization of tunable cylindrical liquid crystal lenses

In this work, one-dimensional arrays of cylindrical adaptive liquid crystal lenses were manufactured and characterized; and test devices were filled with nematic liquid crystal. Comb interdigitated electrodes were designed as a mask pattern for the control electrode on the top glass substrates. A radial graded refractive index along each microsized lens was achieved by fabricating a layer of high resistance sheet deposited as a control electrode. These tunable lenses were switched by applying amplitude and frequency optimized waveforms on the control electrode. Phase profiles generated by the radial electric field distribution on each lens were measured by a convectional interferometric technique.

Crack mechanical failure in lithium niobate crystal under ion irradiation; novel simulation by extended finite elements

Swift heavy ion irradiation (ions with mass heavier than 15 and energy exceeding MeV/amu) transfer their energy mainly to the electronic system with small momentum transfer per collision. Therefore, they produce linear regions (columnar nano-tracks) around the straight ion trajectory, with marked modifications with respect to the virgin material, e.g., phase transition, amorphization, compaction, changes in physical or chemical properties. In the case of crystalline materials the most distinctive feature of swift heavy ion irradiation is the production of amorphous tracks embedded in the crystal. Lithium niobate is a relevant optical material that presents birefringence due to its anysotropic trigonal structure. The amorphous phase is certainly isotropic. In addition, its refractive index exhibits high contrast with those of the crystalline phase. This allows one to fabricate waveguides by swift ion irradiation with important technological relevance. From the mechanical point of view, the inclusion of an amorphous nano-track (with a density 15% lower than that of the crystal) leads to the generation of important stress/strain fields around the track. Eventually these fields are the origin of crack formation with fatal consequences for the integrity of the samples and the viability of the method for nano-track formation. For certain crystal cuts (X and Y), these fields are clearly anisotropic due to the crystal anisotropy. We have used finite element methods to calculate the stress/strain fields that appear around the ion-generated amorphous nano-tracks for a variety of ion energies and doses. A very remarkable feature for X cut-samples is that the maximum shear stress appears on preferential planes that form +/-45º with respect to the crystallographic planes. This leads to the generation of oriented surface cracks when the dose increases. The growth of the cracks along the anisotropic crystal has been studied by means of novel extended finite element methods, which include cracks as discontinuities. In this way we can study how the length and depth of a crack evolves as function of the ion dose. In this work we will show how the simulations compare with experiments and their application in materials modification by ion irradiation.

Crack mechanical failure in ceramic materials under ion irradiation: case of lithium niobate crystal

Swift heavy ion irradiation (ions with mass heavier than 15 and energy exceeding MeV/amu) transfer their energy mainly to the electronic system with small momentum transfer per collision. Therefore, they produce linear regions (columnar nano-tracks) around the straight ion trajectory, with marked modifications with respect to the virgin material, e.g., phase transition, amorphization, compaction, changes in physical or chemical properties. In the case of crystalline materials the most distinctive feature of swift heavy ion irradiation is the production of amorphous tracks embedded in the crystal. Lithium niobate is a relevant optical material that presents birefringence due to its anysotropic trigonal structure. The amorphous phase is certainly isotropic. In addition, its refractive index exhibits high contrast with those of the crystalline phase. This allows one to fabricate waveguides by swift ion irradiation with important technological relevance. From the mechanical point of view, the inclusion of an amorphous nano-track (with a density 15% lower than that of the crystal) leads to the generation of important stress/strain fields around the track. Eventually these fields are the origin of crack formation with fatal consequences for the integrity of the samples and the viability of the method for nano-track formation. For certain crystal cuts (X and Y), these fields are clearly anisotropic due to the crystal anisotropy. We have used finite element methods to calculate the stress/strain fields that appear around the ion- generated amorphous nano-tracks for a variety of ion energies and doses. A very remarkable feature for X cut-samples is that the maximum shear stress appears on preferential planes that form +/-45º with respect to the crystallographic planes. This leads to the generation of oriented surface cracks when the dose increases. The growth of the cracks along the anisotropic crystal has been studied by means of novel extended finite element methods, which include cracks as discontinuities. In this way we can study how the length and depth of a crack evolves as function of the ion dose. In this work we will show how the simulations compare with experiments and their application in materials modification by ion irradiation.

Tailoring the Optical Properties of Silica Irradiated with Swift Heavy Ions

Irradiation with swift heavy ions (SHI), roughly defined as those having atomic masses larger than 15 and energies exceeding 1 MeV/amu, may lead to significant modification of the irradiated material in a nanometric region around the (straight) ion trajectory (i.e., latent tracks). In the case of amorphous silica it has been reported that SHI irradiation originates nano-tracks of either higher density than the virgin material (for low electronic stopping powers, Se < 7 keV/nm) [1] or having a low-density core and a dense shell (Se > 12 keV/nm) [2]. The intermediate region has not been studied in detail but we will show in this work that essentially no changes in density occur in this zone. An interesting effect of the compaction is that the refractive index is increased with respect to that of the surroundings. In the first Se region it is clear that track overlapping leads to continuous amorphous layers that present a significant contrast with respect to the pristine substrate and this has been used to produce optical waveguides. The optical effects of intermediate and high stopping powers, on the other hand, are largely unknown so far. In this work we have studied theoretically (molecular dynamics and optical simulations) and experimentally (irradiation with SHI and optical characterization) the dependence of the macroscopic optical properties (i.e., the refractive index of the effective medium, n_EMA) on the electronic stopping power of the incoming ions. Our results show that the refractive index of the irradiated silica is not increased in the intermediate region, as expected; however, the core-shell tracks of the high-Se region produce a quite effective enhancement of n_EMA that could prove attractive for the fabrication of optical waveguides at ultralow fluences (as low as 1E11 cm^-2). 1. J. Manzano, J. Olivares, F. Agulló-López, M. L. Crespillo, A. Moroño, and E. Hodgson, "Optical waveguides obtained by swift-ion irradiation on silica (a-SiO2)," Nucl. Instrum. Meth. B 268, 3147-3150 (2010). 2. P. Kluth, C. S. Schnohr, O. H. Pakarinen, F. Djurabekova, D. J. Sprouster, R. Giulian, M. C. Ridgway, A. P. Byrne, C. Trautmann, D. J. Cookson, K. Nordlund, and M. Toulemonde, "Fine structure in swift heavy ion tracks in amorphous SiO2," Phys. Rev. Lett. 101, 175503 (2008).

Perfect imaging of point sources with positive refraction

The capability of a device called the Spherical Geodesic Waveguide (SGW) to produce images with details below the classic Abbe diffraction limit (super-resolution) is analyzed here. The SGW is an optical system equivalent (by means of Transformation Optics) to the Maxwell Fish Eye (MFE) refractive index distribution. Recently, it has been claimed that the necessary condition to get super-resolution in the MFE and the SGW is the use of a Perfect Point Drain (PPD). The PPD is a punctual receptor placed in the focal point that absorbs the incident wave, without reflection or scattering. A microwave circuit comprising three elements, the SGW, the source and the drain (two coaxial lines loaded with specific impedances) is designed and simulated in COMSOL. The super-resolution properties have been analyzed for different position of the source and drain and for two different load impedances: the PPD and the characteristic line impedance. The results show that in both cases super-resolution occurs only for discrete number of frequencies. Out of these frequencies, the SGW does not show SR in the analysis carried out.

Nonlinear interface behavior between glass and liquid crystal

As has been shown in the literature, an interface between two dielectric materials, one of which has an intensity-dependent refractive index is capable of exhibing a wide range of complex and potentially useful optical phenomena.

Characterization of the Performance of Optical Label-Free Biosensors

The field of optical label free biosensors has become a topic of interest during past years, with devices based on the detection of angular or wavelength shift of optical modes [1]. Common parameters to characterize their performance are the Limit of Detection (LOD, defined as the minimum change of refractive index upon the sensing surface that the device is able to detect, and also BioLOD, which represents the minimum amount of target analyte accurately resolved by the system; with units of concentration (common un its are p pm, ng/ml, or nM). LOD gives a first value to compare different biosensors, and is obtained both theoretically (using photonic calculation tools), and experimentally,covering the sensing area with fluids of different refractive indexes.