Fresnel reflections in inverse double freeform lens design

In this paper we present a method for designing a double freeformlens that includes the effect of Fresnel reflections on the output intensity.We elaborate this method for the case of a point source and a far-field target. A new expression for the transmittance through a double freeform lens is derived, and we adapt a least-squares algorithm to account for this transmittance. A test case based on street lighting is used to show that our adaptation improves the accuracy of the algorithm and that it is possible to minimize Fresnel losses with this new method to design efficient lenses.</p

Design of a freeform two-reflector system to collimate and shape a point source distribution

In this paper we propose a method to compute a freeform reflector system for collimating and shaping a beam from a point source. We construct these reflectors such that the radiant intensity of the source is converted into a desired target. An important generalization in our approach compared to previous research is that the output beam can be in an arbitrary direction. The design problem is approached by using a generalized Monge-Ampère equation. This equation is solved using a least-squares algorithm for non-quadratic cost functions. This algorithm calculates the optical map, from which we can then compute the surfaces. We test our algorithm on two cases. First we consider a uniform source and target distribution. Next, we use the model of a laser diode light source and a ring-shaped target distribution

Including Fresnel reflection losses in freeform lens design

We present an inverse method for optical design that compensates local Fresnel reflections. We elaborate this method for a point source and far-field target. We modify an existing design algorithm based on the least-squares method. This is done in such a way that the shape of the transmitted intensity is as desired

Fresnel reflections in inverse freeform lens design

In this paper we propose a method to design a freeform lens including the effect of Fresnel reflections on the transmitted intensity. This method is elaborated for a lens with one freeform surface shaping a far-field target from a point source or collimated input beam. It combines the optical mapping with the energy balance incorporating the loss due to Fresnel reflections, which leads to a generalized Monge–Ampère equation. We adapt a least-squares solver from previous research to solve the model numerically. This is then tested with a theoretical example and a test case related to road lighting

Freeform design of a two-reflector system to collimate and shape a point source distribution

We present a method to design a freeform two-reflector system to collimate and shape a beam from a point source. An important generalization compared to previous research is that the output beam can be in an arbitrary direction. The design problem is based on a generalized Monge-Ampère equation. This equation is solved using a least-squares algorithm for non-quadratic cost functions. We test our algorithm on two cases, first, uniform source and target distributions, and second, an elliptic Gaussian intensity of a laser diode to a ring-shaped illuminance. We are able to obtain good solutions in both cases

Padrões de floração e frutificação de árvores da Amazônia Maranhense Flowering and Fruiting Patterns of the Maranhense Amazon Rainforest Trees

Estudos fenológicos em nível de comunidades podem facilitar a compreensão do comportamento das espécies diante de alterações nos ecossistemas, além de refletir a distribuição anual de tipos específicos de recursos. Este trabalho buscou definir os padrões gerais e a sazonalidade de floração e frutificação de uma comunidade em duas áreas de floresta na Amazônia Maranhense, uma não perturbada e outra submetida a corte seletivo. A vegetação corresponde às matas de cipós das florestas amazônicas, alternando matas densas e abertas, de alta biomassa. Valores médios anuais de temperatura variam entre 24,5º C e 26,0º C, e entre 1400 mm e 1800 mm de precipitação, com um período seco de 5 a 6 meses, de junho a novembro. Foram analisadas a floração e a frutificação de 89 espécies arbóreas, de agosto de 1994 a junho de 1996. As espécies foram agrupadas em: árvores do sub-dossel, árvores do estrato superior e árvores que ocorrem em ambos os estratos. Foi feita comparação entre grupos (estratos, tipos de floresta e mecanismos de dispersão) e possíveis correlações com a precipitação foram investigadas. Quinze espécies estudadas foram exclusivas do estrato inferior e 63 do estrato superior da floresta; 17 espécies foram registradas apenas na mata nativa e 37 apenas na mata manejada. A maioria das espécies é zoocórica (62,9 %). A floração e a frutificação ocorreram durante todo o ano, com pico de floração de outubro a dezembro e picos de frutificação de março a julho e de outubro a dezembro. Os resultados obtidos demonstram uma grande sincronia na floração e frutificação dos indivíduos, e confirmam a relação entre esses processos e a variação na precipitação ao longo do ano, e que plantas de ambientes diferenciados exibem comportamentos fenológicos diferentes. Os padrões observados foram semelhantes entre as áreas e a outros estudos na Amazônia.<br>Community level phonological studies can facilitate the understanding of species behavior as a result of ecosystem changes, further reflecting on the annual allotment of specific resources. The aim of the present study was to define the general patterns, flowering and fruiting seasonality from a community in two forest areas of the Maranhense Amazon Rainforest: a non-disturbed area and another submitted to selective logging. The vegetation is composed of Amazon forest lianas alternating between dense and open high biomass forest. Average annual temperature varies between 24.5O C and 26.0O C, with precipitation ranging from 1400 mm to 1800 mm, and a dry season between June and November. Flowering and fruiting of 89 species were analyzed from August 1994 to June 1996. The species were grouped as follows: sub-dossal, upper strata, and trees occurring in both strata. Comparison was made between groups (strata, types of forest and mechanisms for dispersal) and possible correlations with rainfall were investigated. Fifteen studied species were solely from the lower strata, and 63 from the upper forest strata; 17 species were recorded only in native forest and 37 in managed forest. Most species (62.9 %) is zoochorous. Flowering and fruiting take place throughout the year with flowering peak from October to December and fruiting peaks from March to July and from October to December. The results showed a great synchrony in flowering and fruiting of individuals, and confirm the relationship between these cases and the variation in rainfall throughout the year, and that plants of different environments exhibit phonological behavior different. The observed flowering and fruiting patterns were similar between the areas and comparable to other studies in the Amazon Rainforest