• Journal of the Optical Society of Korea
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• v.20 no.5
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• pp.614-622
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• 2016

In this paper, we propose a novel differential equation method for designing a total internal reflection (TIR) LED lens with double freeform surfaces. A complete set of simultaneous differential equations for the method is derived from the condition for minimizing the Fresnel loss, illumination models, Snell’s Law of ray propagation, and a new constraint on the incident angle of a ray on the light-exiting surface of the lens. The last constraint is essential to complete the set of simultaneous differential equations. By adopting the TIR structure and applying the condition for minimizing the Fresnel loss, it is expected that the proposed TIR LED lens can have a high luminous flux efficiency, even though its beam-spread angle is narrow. To validate the proposed method, three TIR LED lenses with beam-spread angles of less than 22.6° have been designed, and their performances evaluated by ray tracing. Their luminous flux efficiencies could be obviously increased by at least 35% and 5%, compared to conventional LED lenses with a single freeform surface and with double freeform surfaces, respectively.

• The Journal of the Korea Contents Association
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• v.20 no.3
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• pp.190-199
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• 2020

Globally, more super-tall buildings tend to be constructed competitively in the social and economic foundations. In the circumstance, this study is aimed at establishing a paradigm of super-tall buildings in terms of their various forms. Symbolizing a city or state, super-tall buildings not only are used as resources of tourism, but play an important role as a characteristic landmark. Therefore, it is necessary to find a curved form for a futuristic perspective. The purpose of this study is to infer the convergence relativity of curved forms among complex and diverse unstructured construction forms. This study used as subjects 50 super-tall buildings among the ranking data selected Council on Tall Buildings and Urban Habitat (CTBUH) in order for the basis of constructability related to actual design, rather than the way of recognizing a formative type, in the classification of curved forms into regularized surfaces, developable surfaces, and double-curved surfaces. The results of this study are presented as follows. This classification can be used as a fundamental material which is reasonably involved in the design process pursuing diverse curved surfaces in terms of design of tall buildings.