A method using a Fourier series is demonstrated to optimize an LED array for local dimming applications in liquid crystal display backlighting. The same optimization method is also suitable for LED displays in which the Moiré effect must be suppressed during photography with a minimum loss of spatial resolution. Initially, the angular intensity profile of a Lambertian LED is modelled when backlighting a Lambertian rear projection screen and compared to experimental data. An array of optimized LEDs and the resulting screen intensity pattern is then derived such that an intensity distribution with an intensity deviation of less than 2% is achieved. The angular intensity profile of the LED is modified using adjustable Fourier coefficients optimized according to an algorithm. The algorithm is designed to achieve an illuminated screen area of maximum size for a bounded LED backlight array to appear uniform in intensity to an observer. This Fourier series approach provides an elegant method to optimize the intensity profile of LED backlight arrays without the use of ray tracing. A lens was designed in order to provide this optimized intensity profile as well as created and tested. / Thesis / Master of Science (MSc)

Gallium nitride (GaN)-based light-emitting diodes (LEDs) with cylindrical nanostructures have been the subject of significant research interest in the past decade, due to the potential of such structures to increase light extraction efficiency and deliver highly directional light emission. Nanorod LEDs, where the light emission is within the nanocylinder, have the additional potential to increase internal quantum efficiency and emit in colours previously thought impractical with GaN-based LEDs. Optical modelling of nanostructured LEDs is usually carried out using finite-difference time-domain methods, which are computationally intensive and do not always provide sufficient insight into the physics underlying the simulation results. This thesis proposes an intuitive, quasi-analytic method based on modal expansion. It is found that it is possible to calculate the far field diffraction patterns of all guided modes supported by a single nanorod, with full consideration of Fabry-Perot effects, in minutes using a standard office desktop computer. Focus is placed on the case of a nanorod of radius 140 nm, for which angular photoluminescence measurements were available to provide a means of validating the model. Consideration of the guided modes alone provides a compelling explanation for gross features in the measured data where none previously existed. It is shown that, using a standard equation from a textbook, it is possible to calculate how much each of the guided and radiation modes of a single nanorod is excited by a Hertzian dipole of known position and orientation with respect to the nanorod geometry. When interference between these modes is considered, it is possible to calculate the total far field angular emission pattern due to that dipole. Comparing these patterns with photoluminescence measurements allows one to infer the locations and orientations of dipole current sources; the results are found to be consistent with those of cathodoluminescence studies.

Diploma thesis deal with design of laser beam shaping system. The theoretical part presents basic information about the light spread lika the optical beams. There are also properties of optical and optoelectronic components that are used for shaping the laser beam. The next section provides basic molding methods, their principles and qualities. In the last, experimental, part is first introduced designed computer algorithm, which is then used to calculate the quality parameters shaped laser beams. Following, there are presented the results of measurements and calculations for some of these methods.

Made available in DSpace on 2016-12-12T20:15:49Z (GMT). No. of bitstreams: 1 Anne Luise Kruger.pdf: 3331342 bytes, checksum: f90ffb5e34c66b8e268f864d4f6dab4e (MD5) Previous issue date: 2013-02-15 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / The magneto-optical traps cool and trap atoms in a given region, forming clouds of cold atoms. As the setting of the trap, clouds can be obtained in different geometries such as spherical or ring-shaped. Traps have a wide range of applications, such as building atomic clocks, to obtain the Bose-Einstein condensate and the study of collisions, wherein the ring geometry is interesting to study in low dimensions. The learning of the trap parameters implies in its characterization and thus the appropriate parameters allow to optimize the trap and improve the performance of it s. The objective of our work is to study the behavior of the motion of atoms and the forces that act upon them by varying some parameters of the trap, such as the magnetic field gradient, the detuning between the laser frequency and the atomic transition, the intensity of the laser beams and also the intensity beams profile of the beams. By using the integration method of Runge-Kutta, we present simulations of the trajectory of a trapped atom and the radius of the orbit varying the same parameters of the trap mentioned above. One can find in literature a description of the force exertd on the trapped atoms with Gaussian profile laser beams in the traditional configuration and also with a small misalignment. From the deduction of the force on the trapped atoms with laser beams of Gaussian profile, we present some considerations to find the force acting on the atoms with Gaussian beam profile and simulations in this new configuration. Thus, the possibility of trapping atoms with other intensity beam profiles can be tested. / As armadilhas magneto-ópticas resfriam e aprisionam átomos em uma determinada região, formando nuvens de átomos frios. Conforme a configuração da armadilha, pode-se obter nuvens em diferentes geometrias, como esféricas ou em forma de anel. As armadilhas tem uma grande gama de aplicações, como a construção de relógios atômicos, a obtenção do condensado de Bose-Einstein e o estudo de colisões, no qual a geometria em anel se torna interessante para o estudo em baixas dimensões. Para conhecer os parâmetros da armadilha é necessário fazer sua caracterização. Parâmetros adequados permitem otimizar a armadilha e melhorar a performance da mesma. O objetivo de nosso trabalho é estudar o comportamento do movimento dos átomos e das forças que atuam sobre eles ao variar alguns parâmetros da armadilha, como por exemplo o gradiente de campo magnético, a dessintonia entre a frequência do laser e da transição atômica, a intensidade dos feixes laser e o perfil de intensidade dos feixes. Utilizando o método de integração de Runge- Kutta, apresentaremos simulações da trajetória de um átomo aprisionado e o raio da órbita variando os mesmos parâmetros da armadilha anteriormente citados. Na literatura encontra-se a descrição da força exercida sobre os átomos aprisionados com feixes laser de perfil gaussiano na configuração tradicional e também com um pequeno desalinhamento. A partir da dedução da força sobre os átomos aprisionados com feixes laser de perfil gaussiano, apresentaremos algumas considerações feitas para encontrar a força que atua sobre os átomos com feixes de perfil não gaussiano e simulações realizadas nesta nova consideração. Desta forma, poderá se verificar se existe a possibilidade de aprisionar átomos com feixes de outros perfis de intensidade.

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