Ultra-compact SWIR telephoto lens design with SMS method

In this work, we propose two new optical structures, using the Simultaneous Multiple Surfaces (SMS) method, comprised of 2 reflecting surfaces and 2 refracting surfaces, 800mm focal length, f/8 (aperture diameter 100 mm) and 1.18 0 diagonal field of view in the SWIR band. The lens surfaces are rotational symmetric and calculated to have good control of non-paraxial rays. We have achieved designs with excellent performance, and with total system length of less than 60 mm.

Analytic design method for optimal imaging: coupling three ray sets using two free-form lens profiles

In this work, a new two-dimensional optics design method is proposed that enables the coupling of three ray sets with two lens surfaces. The method is especially important for optical systems designed for wide field of view and with clearly separated optical surfaces. Fermat’s principle is used to deduce a set of functional differential equations fully describing the entire optical system. The presented general analytic solution makes it possible to calculate the lens profiles. Ray tracing results for calculated 15th order Taylor polynomials describing the lens profiles demonstrate excellent imaging performance and the versatility of this new analytic design method.

Analytic free-form lens design in 3D: coupling three ray sets using two lens surfaces

The two-dimensional analytic optics design method presented in a previous paper [Opt. Express 20, 5576–5585 (2012)] is extended in this work to the three-dimensional case, enabling the coupling of three ray sets with two free-form lens surfaces. Fermat’s principle is used to deduce additional sets of functional differential equations which make it possible to calculate the lens surfaces. Ray tracing simulations demonstrate the excellent imaging performance of the resulting free-form lenses described by more than 100 coefficients.

On the design of spherical gradient index lenses

Classical spherical gradient index (GRIN) lenses (such as Maxwell Fish Eye lens, Eaton lens, Luneburg lens, etc.) design procedure using the Abel integral equation is reviewed and reorganized. Each lens is fully defined by a function called the angle of flight which describes the ray deflection through the lens. The radial refractive index distribution is obtained by applying a linear integral transformation to the angle of flight. The interest of this formulation is in the linearity of the integral transformation which allows us to derive new solutions from linear combinations of known lenses. Beside the review of the classical GRIN designs, we present a numerical method for GRIN lenses defined by the Abel integral equation with fixed limits, which is an ill-posed problem.

Optical systems design using the SMS method and optimizations

Resumen El diseño de sistemas ópticos, entendido como un arte por algunos, como una ciencia por otros, se ha realizado durante siglos. Desde los egipcios hasta nuestros días los sistemas de formación de imagen han ido evolucionando así como las técnicas de diseño asociadas. Sin embargo ha sido en los últimos 50 años cuando las técnicas de diseño han experimentado su mayor desarrollo y evolución, debido, en parte, a la aparición de nuevas técnicas de fabricación y al desarrollo de ordenadores cada vez más potentes que han permitido el cálculo y análisis del trazado de rayos a través de los sistemas ópticos de forma rápida y eficiente. Esto ha propiciado que el diseño de sistemas ópticos evolucione desde los diseños desarrollados únicamente a partir de la óptica paraxial hasta lo modernos diseños realizados mediante la utilización de diferentes técnicas de optimización multiparamétrica. El principal problema con el que se encuentra el diseñador es que las diferentes técnicas de optimización necesitan partir de un diseño inicial el cual puede fijar las posibles soluciones. Dicho de otra forma, si el punto de inicio está lejos del mínimo global, o diseño óptimo para las condiciones establecidas, el diseño final puede ser un mínimo local cerca del punto de inicio y lejos del mínimo global. Este tipo de problemática ha llevado al desarrollo de sistemas globales de optimización que cada vez sean menos sensibles al punto de inicio de la optimización. Aunque si bien es cierto que es posible obtener buenos diseños a partir de este tipo de técnicas, se requiere de muchos intentos hasta llegar a la solución deseada, habiendo un entorno de incertidumbre durante todo el proceso, puesto que no está asegurado el que se llegue a la solución óptima. El método de las Superficies Múltiples Simultaneas (SMS), que nació como una herramienta de cálculo de concentradores anidólicos, se ha demostrado como una herramienta también capaz utilizarse para el diseño de sistemas ópticos formadores de imagen, aunque hasta la fecha se ha utilizado para el diseño puntual de sistemas de formación de imagen. Esta tesis tiene por objeto presentar el SMS como un método que puede ser utilizado de forma general para el diseño de cualquier sistema óptico de focal fija o v afocal con un aumento definido así como una herramienta que puede industrializarse para ayudar al diseñador a afrontar de forma sencilla el diseño de sistemas ópticos complejos. Esta tesis está estructurada en cinco capítulos: El capítulo 1, es un capítulo de fundamentos donde se presentan los conceptos fundamentales necesarios para que el lector, aunque no posea una gran base en óptica formadora de imagen, pueda entender los planteamientos y resultados que se presentan en el resto de capítulos El capitulo 2 aborda el problema de la optimización de sistemas ópticos, donde se presenta el método SMS como una herramienta idónea para obtener un punto de partida para el proceso de optimización. Mediante un ejemplo aplicado se demuestra la importancia del punto de partida utilizado en la solución final encontrada. Además en este capítulo se presentan diferentes técnicas que permiten la interpolación y optimización de las superficies obtenidas a partir de la aplicación del SMS. Aunque en esta tesis se trabajará únicamente utilizando el SMS2D, se presenta además un método para la interpolación y optimización de las nubes de puntos obtenidas a partir del SMS3D basado en funciones de base radial (RBF). En el capítulo 3 se presenta el diseño, fabricación y medidas de un objetivo catadióptrico panorámico diseñado para trabajar en la banda del infrarrojo lejano (8-12 μm) para aplicaciones de vigilancia perimetral. El objetivo presentado se diseña utilizando el método SMS para tres frentes de onda de entrada utilizando cuatro superficies. La potencia del método de diseño utilizado se hace evidente en la sencillez con la que este complejo sistema se diseña. Las imágenes presentadas demuestran cómo el prototipo desarrollado cumple a la perfección su propósito. El capítulo 4 aborda el problema del diseño de sistemas ópticos ultra compactos, se introduce el concepto de sistemas multicanal, como aquellos sistemas ópticos compuestos por una serie de canales que trabajan en paralelo. Este tipo de sistemas resultan particularmente idóneos para él diseño de sistemas afocales. Se presentan estrategias de diseño para sistemas multicanal tanto monocromáticos como policromáticos. Utilizando la novedosa técnica de diseño que en este capítulo se presenta el diseño de un telescopio de seis aumentos y medio. En el capítulo 5 se presenta una generalización del método SMS para rayos meridianos. En este capítulo se presenta el algoritmo que debe utilizarse para el diseño de cualquier sistema óptico de focal fija. La denominada optimización fase 1 se vi introduce en el algoritmo presentado de forma que mediante el cambio de las condiciones iníciales del diseño SMS que, aunque el diseño se realice para rayos meridianos, los rayos skew tengan un comportamiento similar. Para probar la potencia del algoritmo desarrollado se presenta un conjunto de diseños con diferente número de superficies. La estabilidad y potencia del algoritmo se hace evidente al conseguirse por primera vez el diseño de un sistema de seis superficies diseñado por SMS. vii Abstract The design of optical systems, considered an art by some and a science by others, has been developed for centuries. Imaging optical systems have been evolving since Ancient Egyptian times, as have design techniques. Nevertheless, the most important developments in design techniques have taken place over the past 50 years, in part due to the advances in manufacturing techniques and the development of increasingly powerful computers, which have enabled the fast and efficient calculation and analysis of ray tracing through optical systems. This has led to the design of optical systems evolving from designs developed solely from paraxial optics to modern designs created by using different multiparametric optimization techniques. The main problem the designer faces is that the different optimization techniques require an initial design which can set possible solutions as a starting point. In other words, if the starting point is far from the global minimum or optimal design for the set conditions, the final design may be a local minimum close to the starting point and far from the global minimum. This type of problem has led to the development of global optimization systems which are increasingly less sensitive to the starting point of the optimization process. Even though it is possible to obtain good designs from these types of techniques, many attempts are necessary to reach the desired solution. This is because of the uncertain environment due to the fact that there is no guarantee that the optimal solution will be obtained. The Simultaneous Multiple Surfaces (SMS) method, designed as a tool to calculate anidolic concentrators, has also proved useful for the design of image-forming optical systems, although until now it has occasionally been used for the design of imaging systems. This thesis aims to present the SMS method as a technique that can be used in general for the design of any optical system, whether with a fixed focal or an afocal with a defined magnification, and also as a tool that can be commercialized to help designers in the design of complex optical systems. The thesis is divided into five chapters. Chapter 1 establishes the basics by presenting the fundamental concepts which the reader needs to acquire, even if he/she doesn‟t have extensive knowledge in the field viii of image-forming optics, in order to understand the steps taken and the results obtained in the following chapters. Chapter 2 addresses the problem of optimizing optical systems. Here the SMS method is presented as an ideal tool to obtain a starting point for the optimization process. The importance of the starting point for the final solution is demonstrated through an example. Additionally, this chapter introduces various techniques for the interpolation and optimization of the surfaces obtained through the application of the SMS method. Even though in this thesis only the SMS2D method is used, we present a method for the interpolation and optimization of clouds of points obtained though the SMS3D method, based on radial basis functions (RBF). Chapter 3 presents the design, manufacturing and measurement processes of a catadioptric panoramic lens designed to work in the Long Wavelength Infrared (LWIR) (8-12 microns) for perimeter surveillance applications. The lens presented is designed by using the SMS method for three input wavefronts using four surfaces. The powerfulness of the design method used is revealed through the ease with which this complex system is designed. The images presented show how the prototype perfectly fulfills its purpose. Chapter 4 addresses the problem of designing ultra-compact optical systems. The concept of multi-channel systems, such as optical systems composed of a series of channels that work in parallel, is introduced. Such systems are especially suitable for the design of afocal systems. We present design strategies for multichannel systems, both monochromatic and polychromatic. A telescope designed with a magnification of six-and-a-half through the innovative technique exposed in this chapter is presented. Chapter 5 presents a generalization of the SMS method for meridian rays. The algorithm to be used for the design of any fixed focal optics is revealed. The optimization known as phase 1 optimization is inserted into the algorithm so that, by changing the initial conditions of the SMS design, the skew rays have a similar behavior, despite the design being carried out for meridian rays. To test the power of the developed algorithm, a set of designs with a different number of surfaces is presented. The stability and strength of the algorithm become apparent when the first design of a system with six surfaces if obtained through the SMS method.

A novel scanning lens instrument for evaluating Fresnel lens performance: equipment development and initial results

A system dedicated to the optical transmittance characterization of Fresnel lenses has been developed at NREL, in collaboration with the UPM. The system quantifies the optical efficiency of the lens by generating a performance map. The shape of the focused spot may also be analyzed to understand change in the lens performance. The primary instrument components (lasers and CCD detector) have been characterized to confirm their capability for performing optical transmittance measurements. Measurements performed on SoG and PMMA lenses subject to a variety of indoor conditions (e.g., UV and damp heat) identified differences in the optical efficiency of the evaluated lenses, demonstrating the ability of the Scanning Lens Instrument (SLI) to distinguish between the aged lenses.

The Optx2 homeobox gene is expressed in early precursors of the eye and activates retina-specific genes

Vertebrate eye development begins at the gastrula stage, when a region known as the eye field acquires the capacity to generate retina and lens. Optx2, a homeobox gene of the sine oculis-Six family, is selectively expressed in this early eye field and later in the lens placode and optic vesicle. The distal and ventral portion of the optic vesicle are fated to become the retina and optic nerve, whereas the dorsal portion eventually loses its neural characteristics and activates the synthesis of melanin, forming the retinal pigment epithelium. Optx2 expression is turned off in the future pigment epithelium but remains expressed in the proliferating neuroblasts and differentiating cells of the neural retina. When an Optx2-expressing plasmid is transfected into embryonic or mature chicken pigment epithelial cells, these cells adopt a neuronal morphology and express markers characteristic of developing neural retina and photoreceptors. One explanation of these results is that Optx2 functions as a determinant of retinal precursors and that it has induced the transdifferentiation of pigment epithelium into retinal neurons and photoreceptors. We also have isolated optix, a Drosophila gene that is the closest insect homologue of Optx2 and Six3. Optix is expressed during early development of the fly head and eye primordia.

Conservation of fibroblast growth factor function in lens regeneration

In urodele amphibians, lens induction during development and regeneration occurs through different pathways. During development, the lens is induced from the mutual interaction of the ectoderm and the optic vesicle, whereas after lentectomy the lens is regenerated through the transdifferentiation of the iris-pigmented epithelial cells. Given the known role of fibroblast growth factors (FGFs) during lens development, we examined whether or not the expression and the effects of exogenous FGF during urodele lens regeneration were conserved. In this paper, we describe expression of FGF-1 and its receptors, FGFR-2 (KGFR and bek variants) and FGFR-3, in newts during lens regeneration. Expression of these genes was readily observed in the dedifferentiating pigmented epithelial cells, and the levels of expression were high in the lens epithelium and the differentiating fibers and lower in the retina. These patterns of expression implied involvement of FGFs in lens regeneration. To further elucidate this function, we examined the effects of exogenous FGF-1 and FGF-4 during lens regeneration. FGF-1 or FGF-4 treatment in lentectomized eyes resulted in the induction of abnormalities reminiscent to the ones induced during lens development in transgenic mice. Effects included transformation of epithelial cells to fiber cells, double lens regeneration, and lenses with abnormal polarity. These results establish that FGF molecules are key factors in fiber differentiation, polarity, and morphogenesis of the lens during regeneration even though the regenerating lens is induced by a different mechanism than in lens development. In this sense, FGF function in lens regeneration and development should be regarded as conserved. Such conservation should help elucidate the mechanisms of lens regeneration in urodeles and its absence in higher vertebrates.

Phase separation in aqueous solutions of lens gamma-crystallins: special role of gamma s.

We have studied liquid-liquid phase separation in aqueous ternary solutions of calf lens gamma-crystallin proteins. Specifically, we have examined two ternary systems containing gamma s--namely, gamma IVa with gamma s in water and gamma II with gamma s in water. For each system, the phase-separation temperatures (Tph (phi)) alpha as a function of the overall protein volume fraction phi at various fixed compositions alpha (the "cloud-point curves") were measured. For the gamma IVa, gamma s, and water ternary solution, a binodal curve composed of pairs of coexisting points, (phi I, alpha 1) and (phi II, alpha II), at a fixed temperature (20 degrees C) was also determined. We observe that on the cloud-point curve the critical point is at a higher volume fraction than the maximum phase-separation temperature point. We also find that typically the difference in composition between the coexisting phases is at least as significant as the difference in volume fraction. We show that the asymmetric shape of the cloud-point curve is a consequence of this significant composition difference. Our observation that the phase-separation temperature of the mixtures in the high volume fraction region is strongly suppressed suggests that gamma s-crystallin may play an important role in maintaining the transparency of the lens.

An apoptotic defect in lens differentiation caused by human p53 is rescued by a mutant allele.

If deprived of wild-type p53 function, the body loses a guardian that protects against cancer. Restoration of p53 function has, therefore, been proposed as a means of counteracting oncogenesis. This concept of therapy requires prior knowledge with regard to proper balance of p53 function in a given target tissue. We have addressed this problem by targeting expression of the wild-type human p53 gene to the lens, a tissue entirely composed of epithelial cells that differentiate into elongated fiber cells. Transgenic mice expressing wild-type human p53 develop microphthalmia as a result of a defect in fiber formation that sets in shortly after birth. We see apoptotic cells that fail to undergo proper differentiation. In an effort to directly link the observed lens phenotype to the activity of the wild-type human p53 transgene, we also generated mice expressing a mutant human p53 allele that lacks wild-type function. A normal lens phenotype is restored in double transgenic animals that carry both wild-type and mutant human p53 alleles. Our study highlights the difficulties that can arise if p53 levels are improperly balanced in a differentiating tissue.

The First Child In A Chinese Family Who Could Read Prior To Entry Into Elementary School: A Qualitative Intrinsic Case Study

ABSTRACT This study is an account of the literacy-related human environment a Chinese girl experienced as the first person in the history of her family who was able to read prior to entry into elementary school. Temporally speaking, the study spanned more than a decade from the initial, tentative research question to the formal, primary research question. Spatially speaking, it crossed three cultures: the Chinese, Korean, and American cultures. The study was inspired by the Zero Project in China, known as the "Project of Quality Education and Implementation for Children Aged Zero (fetus) to Six." The significance of the content issue in a child's literacy curriculum was explored in an interdisciplinary way. Case study served as a holistic research approach and provided the researcher with free temporal and spatial distance to pursue the indefinably multi-dimensional intricacies of a child's early literacy acquisition among generations in the family. Interpretation of the case was based on the relevant concepts within the scope of the researcher's knowledge of Chinese culture. Major findings revealed that the child's literacy acquisition was inseparably related to her parents' background as well as their awareness of and attitudes towards literacy, and that the foundation of all this was the harmony of the family. Through the lens of generational attitudes towards literacy and especially the lens of the researcher's multicultural life experiences, this study contributes to the field of curriculum studies in general and early literacy curriculum in particular by stimulating people to reconsider what to read to children, besides how to read to them. It calls attention once again to the classic curriculum question, "What knowledge is of most worth?" as well as what is the most essential spiritual food human beings need besides physical needs. This study suggests that Chinese philosophy should be included in a child's early literacy curriculum in China and calls for dialogues on the content issue of curriculum to gain a deeper understanding of human nature so that humans might co-live peacefully with all beings in the universe.

The Vernacular Discourse of the "Arab Spring:" An Analysis of the Visual, the Embodied, and the Textual Rhetorics of the Karama Revolution

The Vernacular Discourse of the "Arab Spring" is a project that bridges the divide between the East and the West by offering new readings to Arab subjectivities. Through an analysis of the "Arab Spring" through the lens of vernacular discourse, it challenges the Euro-Americo-centric legacies of Orientalism in Western academia and the new wave of extremism in the Arab world by offering alternative representations of Arab bodies and subjectivities. To offer this new reading of the "Arab Spring," it explores the foundations of critical rhetoric as a theory and a practice and argues for a turn towards a critical vernacular discourse. The turn towards critical vernacular discourse is important as it urges the analyses of different artifacts produced by marginalized groups in order to understand their perspectives that have largely been foreclosed in traditional cultural studies research. Building on embodied/performative critical rhetoric, the vernacular discourses of the Arab revolutionary body examines other forms of knowledge productions that are not merely textual; more specifically, through data gathered in the Lhbib Bourguiba, Tunisia. This analysis of the political revolutionary body unveils the complexity underlining the discussion around issues of identity, agency and representation in the Middle East and North Africa, and calls for a critical study towards these issues in the region beyond the binary approach that has been practiced and applied by academics and media analysts. Hence, by analyzing vernacular discourse, this research locates a method of examining and theorizing the dialectic between agency, citizenry, and subjectivity through the study of how power structure is recreated and challenged through the use of the vernacular in revolutionary movements, as well as how marginalized groups construct their own subjectivities through the use of vernacular discourse. Therefore, highlighting the political prominence of evaluating the Arab Spring as a vernacular discourse is important in creating new ways of understanding communication in postcolonial/neocolonial settings.

The Dilemma of Obesity Stigma in Psychotherapy

This paper explores the ways in which the growth of obesity in the United States is likely to impact psychotherapy, particularly in its implications for the management and awareness of obesity stigma in therapists' work with obese clients. Obesity poses a dilemma because no element of an individual's identity should be stigmatized in psychotherapy, and yet obesity impacts the individual's physical health and psychological well-being (Ogden & Clementi, 2010). As stigma specific to obesity is only beginning to be understood, the purpose of this paper is to examine obesity stigma through the lens of Erving Goffman's (1963) theories put forth in his book Stigma: Notes on the Management of Spoiled Identity. A case example is offered as a means of understanding the therapeutic issue of weight loss and psychotherapy with an obese client, particularly from the standpoint of Acceptance and Commitment Therapy.

Understanding Mastectomy from a Self Psychology Perspective: The Breast as a Self Object

For many women, if not all, breasts are an important component of bodyself-image; a woman may love them or dislike them, but she is rarely neutral" (Young, 2003, p.152). Breast cancer may be one of the oldest forms of cancer known to humans (American Cancer Society, 2010), and in 2008 in the United States over 182,000 women and almost 2,000 men were diagnosed with some form of breast cancer (American Cancer Society, 2008). In that same year 40,480 women and 450 men died from the disease. While any type of cancer diagnosis can instill a fear of mortality and incapacitation in the recipient, breast cancer holds a special meaning for women because of the significance placed on the breast both personally and societally. Removal of the breast tissue and muscle, or mastectomy, remains one of the primary forms of treatment for this disease. The breast plays an important role in a woman's identity, and the loss of one or both breasts due to breast cancer can have a monumental impact on her sense of self. A mastectomy affectsnot only a woman's relationship with herself, but with her family, friends, and society. It changes her outlook on life, her perception of her roles in the world, and her interest in interacting with others. Exploring these issues is important to understanding how doctors, nurses, mental health professionals, family members and support networks can best assist patients in coping with their illness. This paper attempts to understand the psychological issues and injuriesassociated with mastectomy through the lens of Self Psychology. It postulates that the breast itself is a selfobject for most women, and that its loss results in the fragmentation of the self. I will focus particularly on women between the ages of 25 and 40 years of age, in the marital and parental phases of developmental (Wolf, 1988), as the effect of a mastectomy on body image, sexuality, and genderbased roles such as motherhood has been shown to differ according to the age of the patient, with younger patients experiencing more distress (Ashing-Giwa et al, 2004).

Fostering Change: Toward Understanding, Valuing, and Informing the Therapeutic Role of Foster Parents

Foster parents have the potential to effect lasting therapeutic change through their role with the children they temporarily foster. Therapists working with foster parents can understand, support, and inform foster parents in their role based on a commonality that exists between the roles of therapists and foster parents. Similarities at different stages of both the therapeutic and foster parenting relationships are addressed, as well as the use of these relationships in a therapeutic manner. Advantages (for foster parents, foster children, therapists, and the foster care system) of articulating the foster parenting relationship through the lens of the therapeutic relationship are also discussed. Future research into the experience of foster parents in their role will be essential in creating an effective and sustainable system of care for vulnerable children.