Contribución al estudio de propiedades ópticas en medios heterogéneos

Como contribución del estudio de medios heterogéneos, esta tesis recoge el trabajo llevado a cabo sobre modelado teórico y simulación del estudio de las propiedades ópticas de la piel y del agua del mar, como ejemplos paradigmáticos de medios heterogéneos. Se ha tomado como punto de partida el estudio de la propagación de la radiación óptica, más concretamente de la radiación láser, en un tejido biológico. La importancia de la caracterización óptica de un tejido es fundamental para manejar la interacción radiación-tejido que permite tanto el diagnóstico como la terapéutica de enfermedades y/o de disfunciones en las Ciencias de la Salud. Sin olvidar el objetivo de ofrecer una metodología de estudio, con un «enfoque ingenieril», de las propiedades ópticas en un medio heterogéneo, que no tiene por qué ser exclusivamente el tejido biológico. Como consecuencia de lo anterior y de la importancia que tiene el agua dentro de los tejidos biológicos se decide estudiar en otro capítulo las propiedades ópticas del agua dentro de un entorno heterogéneo como es el agua del mar. La selección del agua del mar, como objeto de estudio adicional, es motivada, principalmente, porque se trata de un sistema heterogéneo fácilmente descriptible en cada uno de sus elementos y permite evaluar una amplia bibliografía. Además se considera que los avances que han tenido lugar en los últimos años en las tecnologías fotónicas van a permitir su uso en los métodos experimentales de análisis de las aguas. El conocimiento de sus propiedades ópticas permite caracterizar los diferentes tipos de aguas de acuerdo con sus compuestos, así como poder identificar su presencia. Todo ello abre un amplio abanico de aplicaciones. En esta tesis doctoral, se ha conseguido de manera general: • Realizar un estudio del estado del arte del conocimiento de las propiedades ópticas de la piel y la identificación de sus elementos dispersores de la luz. • Establecer una metodología de estudio que nos permita obtener datos sobre posibles efectos de la radiación en los tejidos biológicos. •Usar distintas herramientas informáticas para simular el transporte de la radiación laser en tejidos biológicos. • Realizar experimentos mediante simulación de láser, tejidos biológicos y detectores. • Comparar los resultados conocidos experimentalmente con los simulados. • Estudiar los instrumentos de medida de la respuesta a la propagación de radiación laser en tejidos anisotrópicos. • Obtener resultados originales para el diagnóstico y tratamiento de pieles, considerando diferente razas y como alteración posible en la piel, se ha estudiado la presencia del basalioma. • Aplicación de la metodología de estudio realizada en la piel a la simulación de agua de mar. • Obtener resultados originales de simulación y análisis de cantidad de fitoplancton en agua; con el objetivo de facilitar la caracterización de diferentes tipos de aguas. La tesis doctoral se articula en 6 capítulos y 3 anexos perfectamente diferenciados con su propia bibliografía en cada uno de ellos. El primer capítulo está centrado en la problemática del difícil estudio y caracterización de los medios heterogéneos debidos a su comportamiento no homogéneo y anisotrópico ante las radiaciones ópticas. Así pues, presentaremos una breve introducción al comportamiento tanto de los tejidos como del océano ante radiaciones ópticas y definiremos sus principales propiedades: la absorción, el scattering, la anisotropía y los coeficientes de reflexión. Como continuación, un segundo capítulo trata de acercarnos a la resolución del problema de cómo caracterizar las propiedades ópticas descritas en el primer capítulo. Para ello, primero se introducen los modelos teóricos, en segundo lugar los métodos de simulación más empleados y, por último, enumerar las principales técnicas de medida de la propagación de la luz en los tejidos vivos. El tercer capítulo, centrado en la piel y sus propiedades, intenta realizar una síntesis de lo que se conoce sobre el comportamiento de la piel frente a la propagación de las radiaciones ópticas. Se estudian sus elementos constituyentes y los distintos tipos de pieles. Por último se describe un ejemplo de aplicación más inmediata que se beneficia de este conocimiento. Sabemos que el porcentaje de agua en el cuerpo humano es muy elevado, en concreto en la piel se considera de aproximadamente un 70%. Es obvio, por tanto, que conocer cómo afecta el agua en la propagación de una radiación óptica facilitaría el disponer de patrones de referencia; para ello, se realiza el estudio del agua del mar. En el cuarto capítulo se estudian las propiedades del agua del mar como medio heterogéneo de partículas. En este capítulo presentamos una síntesis de los elementos más significativos de dispersores en el océano, un estudio de su comportamiento individual frente a radiaciones ópticas y su contribución al océano en su conjunto. Finalmente, en el quinto capítulo se describen los resultados obtenidos en los distintos tipos de simulaciones realizadas. Las herramientas de simulación empleadas han sido las mismas tanto para el caso del estudio de la piel como para el agua del mar, por ello ambos resultados son expuestos en el mismo capítulo. En el primer caso se analizan diferentes tipos de agua oceánica, mediante la variación de las concentraciones de fitoplancton. El método empleado permite comprobar las diferencias que pueden encontrarse en la caracterización y diagnóstico de aguas. El segundo caso analizado es el de la piel; donde se estudia el comportamiento de distintos tipos de piel, se analizan para validar el método y se comprueba cómo el resultado es compatible con aplicaciones, actualmente comerciales, como la de la depilación con láser. Como resultado significativo se muestra la posible metodología a aplicar para el diagnóstico del cáncer de piel conocido como basalioma. Finalmente presentamos un capítulo dedicado a los trabajos futuros basados en experimentación real y el coste asociado que implicaría el llevarlo a cabo. Los anexos que concluyen la tesis doctoral versan por un lado sobre el funcionamiento del vector común de toda la tesis: el láser, sus aplicaciones y su control en la seguridad y por otro presentamos los coeficientes de absorción y scattering que hemos utilizado en nuestras simulaciones. El primero condensa las principales características de una radiación láser desde el punto de vista de su generación, el segundo presenta la seguridad en su uso y el tercero son tablas propias, cuyos parámetros son los utilizados en el apartado de experimentación. Aunque por el tipo de tesis que defiendo no se ajusta a los modelos canónicos de tesis doctoral, el lector podrá encontrar en esta tesis de forma imbricada, el modelo común a todas las tesis o proyectos de investigación con una sección dedicada al estado del arte con ejemplos pedagógicos para facilitar la compresión y se plantean unos objetivos (capítulos 1-4), y un capítulo que se subdivide en materiales y métodos y resultados y discusiones (capítulo 5 con sus subsecciones), para finalizar con una vista al futuro y los trabajos futuros que se desprenden de la tesis (capítulo 6). ABSTRACT As contribution to the study of heterogeneous media, this thesis covers the work carried out on theoretical modelling and simulation study of the optical properties of the skin and seawater, as paradigmatic examples of heterogeneous media. It is taken as a starting point the study of the propagation of optical radiation, in particular laser radiation in a biological tissue. The importance of optical characterization of a tissue is critical for managing the interaction between radiation and tissues that allows both diagnosis and therapy of diseases and / or dysfunctions in Health Sciences. Without forgetting the aim of providing a methodology of study, with "engineering approach" of the optical properties in a heterogeneous environment, which does not have to be exclusively biological tissue. As a result of this and the importance of water in biological tissues, we have decided to study the optical properties of water in a heterogeneous environment such as seawater in another chapter. The selection of sea water as an object of further study is motivated mainly because it is considered that the advances that have taken place in recent years in photonic technologies will allow its use in experimental methods of water analysis. Knowledge of the optical properties to characterize the different types of waters according to their compounds, as well as to identify its presence. All of this opens a wide range of applications. In this thesis, it has been generally achieved: • Conduct a study of the state of the art knowledge of the optical properties of the skin and identifying its light scattering elements. • Establish a study methodology that allows us to obtain data on possible effects of radiation on biological tissues. • Use different computer tools to simulate the transport of laser radiation in biological tissues. • Conduct experiments by simulating: laser, detectors, and biological tissues. • Compare the known results with our experimentally simulation. • Study the measuring instruments and its response to the propagation of laser radiation in anisotropic tissues. • Get innovative results for diagnosis and treatment of skin, considering different races and a possible alteration in the skin that we studied: the presence of basal cell carcinoma. • Application of the methodology of the study conducted in the skin to simulate seawater. • Get innovative results of simulation and analysis of amount of phytoplankton in water; in order to facilitate the characterization of different types of water. The dissertation is divided into six chapters and three annexes clearly distinguished by their own literature in each of them. The first chapter is focused on the problem of difficult study and characterization of heterogeneous media due to their inhomogeneous and anisotropic behaviour of optical radiation. So we present a brief introduction to the behaviour of both tissues at the cellular level as the ocean, to optical radiation and define the main optical properties: absorption, scattering, anisotropy and reflection coefficients. Following from this, a second chapter is an approach to solving the problem of how to characterize the optical properties described in the first chapter. For this, first the theoretical models are introduced, secondly simulation methods more used and, finally, the main techniques for measuring the propagation of light in living tissue. The third chapter is focused on the skin and its properties, tries to make a synthesis of what is known about the behaviour of the skin and its constituents tackle the spread of optical radiation. Different skin types are studied and an example of immediate application of this knowledge benefits described. We know that the percentage of water in the human body is very high, particularly in the skin is considered about 70%. It is obvious, therefore, that knowing how the water is affected by the propagation of an optical radiation facilitate to get reference patterns; For this, the study of seawater is performed. In the fourth chapter the properties of seawater as a heterogeneous component particles are studied. This chapter presents a summary of the scattering elements in the ocean, its individual response to optical radiation and its contribution to the ocean as a whole. In the fifth chapter the results of the different types of simulations are described. Simulation tools used were the same for the study of skin and seawater, so both results are presented in the chapter. In the first case different types of ocean water is analysed by varying the concentrations of phytoplankton. The method allows to check the differences that can be found in the characterization and diagnosis of water. The second case analysed is the skin; where the behaviour of different skin types are studied and checked how the result is compatible with applications currently trade, such as laser hair removal. As a significant result of the possible methodology to be applied for the diagnosis of skin cancer known as basal cell carcinoma is shown. Finally we present a chapter on future work based on actual experimentation and the associated cost which it would involve carrying out. The annexes conclude the thesis deal with one hand on the functioning of the common vector of the whole thesis: laser, control applications and safety and secondly we present the absorption and scattering coefficients we used in our simulations. The first condenses the main characteristics of laser radiation from the point of view of their generation, the second presents the safety in use and the third are own tables, whose parameters are used in the experimental section. Although the kind of view which I advocate does not meet the standard models doctoral thesis, the reader will find in this thesis so interwoven, the common model to all theses or research projects with a section on the state of the art pedagogical examples to facilitate the understanding and objectives (Chapters 1-4), and a chapter is divided into materials and methods and results and discussions (Chapter 5 subsections) arise, finishing with a view to the future and work future arising from the thesis (Chapter 6).

Método da propagação de feixe de ângulo largo para análise de guias de ondas ópticos não-lineares

Este trabalho propõe uma extensão do método de propagação de feixe (BPM - Beam Propagation Method) para a análise de guias de ondas ópticos e acopladores baseados em materiais não-lineares do tipo Kerr. Este método se destina à investigação de estruturas onde a utilização da equação escalar de Helmholtz (EEH) em seu limite paraxial não mais se aplica. Os métodos desenvolvidos para este fim são denominados na literatura como métodos de propagação de feixe de ângulo largo. O formalismo aqui desenvolvido é baseado na técnica das diferenças finitas e nos esquemas de Crank-Nicholson (CN) e Douglas generalizado (GD). Estes esquemas apresentam como característica o fato de apresentarem um erro de truncamento em relação ao passo de discretização transversal, Δx, proporcional a O(Δx2) para o primeiro e O(Δx4). A convergência do método em ambos esquemas é otimizada pela utilização de um algoritmo interativo para a correção do campo no meio não-linear. O formalismo de ângulo largo é obtido pela expansão da EEH para os esquemas CN e GD em termos de polinômios aproximantes de Padé de ordem (1,0) e (1,1) para CN e GD, e (2,2) e (3,3) para CN. Os aproximantes de ordem superior a (1,1) apresentam sérios problemas de estabilidade. Este problema é eliminado pela rotação dos aproximantes no plano complexo. Duas condições de contorno nos extremos da janela computacional são também investigadas: 1) (TBC - Transparent Boundary Condition) e 2) condição de contorno absorvente (TAB - Transparent Absorbing Boundary). Estas condições de contorno possuem a facilidade de evitar que reflexões indesejáveis sejam transmitidas para dentro da janela computacional. Um estudo comparativo da influência destas condições de contorno na solução de guias de ondas ópticos não-lineares é também abordada neste trabalho.

Surface morphology dependent photoluminescence from colloidal silicon nanocrystals

Monodisperse 1-2 nm silicon nanocrystals are synthesized in reverse micelles and have their surfaces capped with either allylamine or 1-heptene to produce either hydrophilic or hydrophobic silicon nanocrystals. Optical characterization (absorption, PL, and time-resolved PL) is performed on colloidal solutions with the two types of surface-capped silicon nanocrystals with identical size distributions. Direct evidence is obtained for the modification of the optical properties of silicon nanocrystals by the surface-capping molecule. The two different surface-capped silicon nanocrystals show remarkably different optical properties.

Actively modelocked dual-wavelength fibre laser with ultra-low inter-pulse-stream timing jitter

We demonstrate a novel dual-wavelength erbium-fiber laser that uses a single nonlinear-optical loop mirror modulator to simultaneously modelock two cavities with chirped fiber Bragg gratings as end mirrors. We show that this configuration produces synchronized soliton pulse trains with an ultra-low RMS inter-pulse-stream timing jitter of 620 fs enabling application to multiwavelength systems at data rates in excess of 130 Gb/s.

The use of loop mirrors and chirped fibre Bragg gratings in actively-modelocked fibre lasers

The development of an all-optical communications infrastructure requires appropriate optical switching devices and supporting hardware. This thesis presents several novel fibre lasers which are useful pulse sources for high speed optical data processing and communications. They share several attributes in common: flexibility, stability and low-jitter output. They all produce short (picosecond) and are suitable as sources for soliton systems. The lasers are all-fibre systems using erbium-doped fibre for gain, and are actively-modelocked using a dual-wavelength nonlinear optical loop mirror (NOLM) as a modulator. Control over the operating wavelength and intra-cavity dispersion is obtained using a chirped in-fibre Bragg grating.Systems operating both at 76MHz and gigahertz frequencies are presented, the latter using a semiconductor laser amplifier to enhance nonlinear action in the loop mirror. A novel dual-wavelength system in which two linear cavities share a common modulator is presented with results which show that the jitter between the two wavelengths is low enough for use in switching experiments with data rates of up to 130Gbit/s.

Dispersion aspects of periodically amplified soliton transmission systems

This thesis presents improvements to optical transmission systems through the use of optical solitons as a digital transmission format, both theoretically and experimentally. An introduction to the main concepts and impairments of optical fibre on pulse transmission is included before introducing the concept of solitons in optically amplified communications and the problems of soliton system design. The theoretical work studies two fibre dispersion profiling schemes and a soliton launch improvement. The first provides superior pulse transmission by optimally tailoring the fibre dispersion to better follow the power, and hence nonlinearity, decay and thus allow soliton transmission for longer amplifier spacings and shorter pulse widths than normally possible. The second profiling scheme examines the use of dispersion compensating fibre in the context of soliton transmission over existing, standard fibre systems. The limits for solitons in uncompensated standard fibre are assessed, before the potential benefits of dispersion compensating fibre included as part of each amplifier are shown. The third theoretical investigation provides a simple improvement to the propagation of solitons in a highly perturbed system. By introducing a section of fibre of the correct length prior to the first system amplifier span, the soliton shape can be better coupled into the system thus providing an improved "average soliton" propagation model. The experimental work covers two areas. An important issue for soliton systems is pulse sources. Three potential lasers are studied, two ring laser configurations and one semiconductor device with external pulse shaping. The second area studies soliton transmission using a recalculating loop, reviewing the advantages and draw-backs of such an experiment in system testing and design. One particular example of employing the recirculating loop is also examined, using a novel method of pulse shape stabilisation over long distances with low jitter. The future for nonlinear optical communications is considered with the thesis conclusions.

Switching and generation of ultrashort pulses using all-fibre devices

Serial and parallel interconnection of photonic devices is integral to the construction of any all-optical data processing system. This thesis presents results from a series of experiments centering on the use of the nonlinear-optical loop mirror (NOLM) switch in architectures for the manipulation and generation of ultrashort pulses. Detailed analysis of soliton switching in a single NOLM and cascade of two NOLM's is performed, centering on primary limitations to device operation, effect of cascading on amplitude response, and impact of switching on the characteristics of incident pulses. By using relatively long input pulses, device failure due to stimulated Raman generation is postponed to demonstrate multiple-peaked switching for the first time. It is found that while cascading leads to a sharpening of the overall switching characteristic, pulse spectral and temporal integrity is not significantly degraded, and emerging pulses retain their essential soliton character. In addition, by including an asymmetrically placed in-fibre Bragg reflector as a wavelength selective loss element in the basic NOLM configuration, both soliton self-switching and dual-wavelength control-pulse switching are spectrally quantised. Results are presented from a novel dual-wavelength laser configuration generating pulse trains with an ultra-low rms inter-pulse-stream timing jitter level of 630fs enabling application in ultrafast switching environments at data rates as high as 130GBits/s. In addition, the fibre NOLM is included in architectures for all-optical memory, demonstrating storage and logical inversion of a 0.5kByte random data sequence; and ultrafast phase-locking of a gain-switched distributed feedback laser at 1.062GHz, the fourteenth harmonic of the system baseband frequency. The stringent requirements for environmental robustness of these architectures highlight the primary weaknesses of the NOLM in its fibre form and recommendations to overcome its inherent drawbacks are presented.

Transmission of non-uniform OTDM channels in nonlinearly-guided dispersion-managed fibre system

The effects of channel inequality on nonlinear signal switching in a nonlinear optical fiber loop mirror (NOLM) were investigated. It was found that the channel-to-channel amplitude differences in optical time division multiplexing (OTDM) have strong impact on swiching behavior of individual channels in a 2R regenerator. The optical pulses in different channels face either suppression of the amplitude noise or increase in noise, depending on the inter-channel amplitude difference. It was stated that appropriate control of the channel uniformity in the OTDM transmitters is required to support stable long-haul transmission in 2R regenerated systems.

Excitation of higher spatial harmonics by a moving light pattern in sillenites

We investigate numerically the dependence of higher harmonics of the space-charge field on the detuning frequency between the pump waves, which form a running interference pattern. Bistability and hysteresis of harmonics are predicted for a contrast of the interference pattern m =(0.25-0.3). For contrasts m˜1 and small detuning frequencies we show the existence of a narrow resonance, connected with the nonlinear excitation of a slowly decreasing sequence of spatial harmonics. For experiments we use a BSO crystal in the optical configuration which avoids nonlinear optical distortions. The experimental data show good qualitative agreement with theory.

Experiments and analysis of combined diffraction and self diffraction effects in a nematic liquid crystal cell

The potential for nonlinear optical processes in nematic-liquid-crystal cells is great due to the large phase changes resulting from reorientation of the nematic-liquid-crystal director. Here the combination of diffraction and self-diffraction effects are studied simultaneously by the use of a pair of focused laser beams which are coincident on a homeotropically aligned liquid-crystal cell. The result is a complicated diffraction pattern in the far field. This is analyzed in terms of the continuum theory for liquid crystals, using a one-elastic-constant approximation to solve the reorientation profile. Very good comparison between theory and experiment is obtained. An interesting transient grating, existing due to the viscosity of the liquid-crystal material, is observed in theory and practice for large cell-tilt angles.

Investigation of different techniques to upgrade legacy WDM communication systems

This thesis presents experimental investigation of different effects/techniques that can be used to upgrade legacy WDM communication systems. The main issue in upgrading legacy systems is that the fundamental setup, including components settings such as EDFA gains, does not need to be altered thus the improvement must be carried out at the network terminal. A general introduction to optical fibre communications is given at the beginning, including optical communication components and system impairments. Experimental techniques for performing laboratory optical transmission experiments are presented before the experimental work of this thesis. These techniques include optical transmitter and receiver designs as well as the design and operation of the recirculating loop. The main experimental work includes three different studies. The first study involves a development of line monitoring equipment that can be reliably used to monitor the performance of optically amplified long-haul undersea systems. This equipment can provide instant finding of the fault locations along the legacy communication link which in tum enables rapid repair execution to be performed hence upgrading the legacy system. The second study investigates the effect of changing the number of transmitted 1s and Os on the performance of WDM system. This effect can, in reality, be seen in some coding systems, e.g. forward-error correction (FEC) technique, where the proportion of the 1s and Os are changed at the transmitter by adding extra bits to the original bit sequence. The final study presents transmission results after all-optical format conversion from NRZ to CSRZ and from RZ to CSRZ using semiconductor optical amplifier in nonlinear optical loop mirror (SOA-NOLM). This study is mainly based on the fact that the use of all-optical processing, including format conversion, has become attractive for the future data networks that are proposed to be all-optical. The feasibility of the SOA-NOLM device for converting single and WDM signals is described. The optical conversion bandwidth and its limitations for WDM conversion are also investigated. All studies of this thesis employ 10Gbit/s single or WDM signals being transmitted over dispersion managed fibre span in the recirculating loop. The fibre span is composed of single-mode fibres (SMF) whose losses and dispersion are compensated using erbium-doped fibre amplifiers (EDFAs) and dispersion compensating fibres (DCFs), respectively. Different configurations of the fibre span are presented in different parts.

Carbon nanotube-polycarbonate composites for ultrafast lasers

Carbon nanotube polycarbonate composites with controlled nanotube-bundle size are prepared by dispersion with conjugated polymers followed by blending with polycarbonate. The composite has uniform sub-micrometer nanotube bundles in high concentration, shows strong nonlinear optical absorption, and generates 193 fs pulses when used as passive mode-locker in a fiber laser.

Passive regeneration in 40 Gbit/s-based WDM dispersion-managed RZ transmission systems by in-line NOLMs

All-optical passive regeneration in 40 Gbit/s-based wavelength-division-multiplexed (WDM) dispersion-managed return-to-zero (RZ) transmission system was discussed. In-line nonlinear optical loop mirrors (NOLM) were used. A feasibility of 300 GHz-spaced two channel unlimited transmission and 150 GHz-spaced two channel 25000 km transmission over the standard fiber were found.

Identification of optically clear regions of ternary polymer blends using a novel rapid screening method

The application of a rapid screening method for the construction of ternary phase diagrams is described for the first time, providing detailed visualization of phase boundaries in solvent-mediated blends. Our new approach rapidly identifies ternary blend compositions that afford optically clear materials, useful for applications where transparent films are necessary. The use of 96-well plates and a scanning plate reader has enabled rapid optical characterization to be carried out by transmission spectrophotometry (450 nm), whilst the nature and extent of crystallinity was examined subsequently by wide angle X-ray scattering (WAXS). The moderating effect of cellulose acetate butyrate can be visualized as driving the position of the phase boundaries in poly(l-lactic acid)/polycaprolactone (PLLA/PCL) blends. More surprisingly, the boundaries are critically dependent on the molecular weight of the crystallizable PLLA and PCL, with higher molecular weight polymers leading to blends with reduced phase separation. On the other hand, the propensity to crystallize was more evident in shorter chains. WAXS provides a convenient way of characterizing the contribution of the individual blend components to the crystalline regions across the range of blend compositions. © 2013 Society of Chemical Industry.

Experiments and analysis of combined diffraction and self diffraction effects in a nematic liquid crystal cell

The potential for nonlinear optical processes in nematic-liquid-crystal cells is great due to the large phase changes resulting from reorientation of the nematic-liquid-crystal director. Here the combination of diffraction and self-diffraction effects are studied simultaneously by the use of a pair of focused laser beams which are coincident on a homeotropically aligned liquid-crystal cell. The result is a complicated diffraction pattern in the far field. This is analyzed in terms of the continuum theory for liquid crystals, using a one-elastic-constant approximation to solve the reorientation profile. Very good comparison between theory and experiment is obtained. An interesting transient grating, existing due to the viscosity of the liquid-crystal material, is observed in theory and practice for large cell-tilt angles.