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Schematic of the concept of application specific LED packaging. 

Schematic of the concept of application specific LED packaging. 

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Application specific LED packaging (ASLP) is an emerging technology for high performance LED lighting. We introduced a practical design method of compact freeform lens for extended sources used in ASLP. A new ASLP for road lighting was successfully obtained by integrating a polycarbonate compact freeform lens of small form factor with traditional L...

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... diode (LED), with increasing luminous flux and lumen efficiency in recent years, has more and more applications in our daily life, such as road lighting, backlighting for LCD display, headlamps of automotives, interior and exterior lighting, etc [1–3]. Brighter, smaller, smarter and cheaper are development trends of both LED packaging modules and luminaires [3]. For example, smaller LED packaging using less material will decline the cost of LED modules. In LED applications, secondary optics are essential for most LED luminaires because radiation patterns of most LEDs are circular symmetry with non-uniform illuminance distribution, which cannot directly meet the requirements of specific applications (e. g. subrectangular radiation pattern required in road lighting). Freeform lens is an emerging optical technology with advantages of being high design freedom and being precise light irradiation control, which are useful for LED lighting design [4–8]. Traditional freeform lens, however, due to the category of secondary optics in nature, has disadvantages of large size in some space confined applications, possibly resulting in large volume and weight of both thermal management part and luminaires, relatively low system optical efficiency and inconvenience for customers to assembly. In addition, the optical performances of many LED luminaires existing in the market are quite poor, mainly due to a lack of technology of secondary optics for many new LED companies. On the other hand, thousands of traditional lighting companies, which have been main bodies of employment and marketing and sales, are suffering from even poor understanding of LEDs, facing significant technical and societal challenges of transferring from traditional lighting to new LED business, proposing a strong need for easy to use LED technology. Therefore, if we integrate secondary optics with traditional LED packaging achieving new application specific LED packaging (ASLP), as shown in Fig. 1, it will not only decrease the size of LED modules and systems, and increase the efficiencies of LED luminaires, but also provide a convincing solution to LED lighting for old and new LED application companies. In this study, we demonstrated a practical design method of compact freeform lenses, mainly focusing on eliminating deteriorations caused by extended sources. A polycarbonate (PC) compact freeform lens for a new ASLP used in road lighting was designed based on this method. Optical performance of the ASLP was also studied both numerically and experimentally. Results demonstrated that the ASLP had high system optical efficiency and good lighting performance with subrectangular radiation pattern, which meet requirements of road lighting. Extended source is a key issue challenging compact LED packaging freeform lens design. The size of high power LED chip is usually at a level of 1 mm × 1 mm while the distance between the chip and outside surface of the packaging lens is about 2.5 mm or even smaller. Since the distance between source and lens is less than 5 times the source diameter, the LED chip could not be regarded as a point source during packaging lens design according to the far field conditions of LED [9]. Thus the compact freeform lens should be designed based on an extended source. However, if we design a freeform lens according to the assumption of a point source while using the lens for an extended source, lighting performance will deteriorate significantly. Figure 2 (a) shows a freeform lens for LED tunnel lighting and its uniform rectangular radiation pattern when using a point source [8]. However, as shown in Fig. 2 (b), shape and uniformity of the radiation pattern deteriorate extremely when the source extending to an extended source with emitting area of 4 mm × 4 mm. Therefore, design method of freeform lens should be modified to improve lighting performance when using extended sources. Simultaneous multiple surfaces (SMS) method [4] is an effective way to deal with extended sources. The SMS method provides an optical system with two freeform surfaces that refract or reflect the rays of the input bundles into the rays of the corresponding output bundles and vice versa. The SMS method is mainly used in design of secondary optics so far. In this study we will present a practical design method of compact freeform lens for extended sources, which is quite suitable for designing freeform packaging lenses of new ASLPs. The design method includes three parts: establishing light energy mapping relationship between source and target, constructing lens and validating lens design by numerical simulation. Rectangular target plane is adopted as an example in the following design. Normally, refractive indexes of encapsulants and lens of LED packaging are usually different with each other. For example, refractive index is 1.586 for PC and is a range from 1.4 to 1.6 for silicone. It is hard to find an interface that will not deflect rays emitted from an extended source when rays transmit through the interface of two materials with different refractive indexes. In this method, optimization of overall lighting performance is to be achieved by adjusting optimization coefficients of target grids and reconstructing the outside surface of lens. Thus there is no strict restriction of the shape of lens’ inner surface and it is to be designed as inner concave spherical surface in this method. We will focus on the construction of the outside surface of lens in this study. Since the LED source and target plane both are of axial symmetry, only one quarter of them are to be considered in this discussion. First of all, the one quarter light energy distribution of source is divided into M × N grids with equal luminous flux. As shown in Fig. 3, the source’s intensity distribution Ω is specified by coordinates ( u, v ), where u is the angle between ray and X axis, and v is the angle between Z axis and the plane containing ray and X axis. The volume of Ω represents the total luminous flux Φ total of this one quarter source. Luminous flux of unit object d Ω could be expressed as Eq. ...

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Citations

... Lens is an important part of optical system, widely used in optical imaging, information transmission, illumination detection and other fields [1][2][3][4][5][6][7] .Nowadays, the production of lenses mainly relies on single-point diamond cutting [8,9] , ultra-precision grinding [10] , injection molding [11,12] and other methods,however, these methods have high requirements for equipment and processes.In recent years, the rise of 3D printing technology has also made us see a new direction, using 3D printing technology, we can make almost any type of lens [13][14][15] .3D printing mainly includes digital light processing (DLP), stereophotolithography (SLA), two-photon polymerization (TPP), etc. DLP technology is the use of digital micro-mirror device DMD to reflect the light from the light source to the photopolymer material to achieve the effect of layer curing, but this processing method has obvious "ladder effect," often requires complex post-processing processes [16,17] .SLA technology uses a laser beam to illuminate the target range point by point, with the lifting platform in the vertical direction, to realize the processing of three-dimensional structures. ...
... The expression of the system free energy function E is as follows For the convenience of calculation, we define the function to be integrated in the free energy expression as the F function, that is When the system reaches stability, under the constraint of a fixed volume, the surface shape of the lens solution forms such that the free energy E of the system consists of two parts, the surface energy between the liquids and the effective gravitational potential energy, the last term represents the volume constraint, λ represents the Lagrange multiplier. When the whole system reaches a steady state, that is, when the energy of the whole system is the lowest, then the first derivative of the energy should be 0, that is (2)(3) We get the Euler-Lagrange equation (2)(3)(4) Where hr and hθ represent the first derivative of h with respect to r and θ, respectively. Dimensionless parameters are defined as follows ...
... The expression of the system free energy function E is as follows For the convenience of calculation, we define the function to be integrated in the free energy expression as the F function, that is When the system reaches stability, under the constraint of a fixed volume, the surface shape of the lens solution forms such that the free energy E of the system consists of two parts, the surface energy between the liquids and the effective gravitational potential energy, the last term represents the volume constraint, λ represents the Lagrange multiplier. When the whole system reaches a steady state, that is, when the energy of the whole system is the lowest, then the first derivative of the energy should be 0, that is (2)(3) We get the Euler-Lagrange equation (2)(3)(4) Where hr and hθ represent the first derivative of h with respect to r and θ, respectively. Dimensionless parameters are defined as follows ...
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... The light superposition of multiple LEDs makes part of the light irradiate outside the required area. Light in the outside area causes additional energy consumption and reduces illuminance [16][17]. During the curing process, the spill light can cause more skin on the back of the hand to darken. ...
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... In order to achieve the targeted lighting distribution with LEDs, the density distributions must be used with a secondary lens [13{17]. Wang et al. [18] mentioned the importance of using secondary optics in LED applications. The light distributions of the LED cannot directly meet the requirements of speci c applications; it has uneven light distribution curves. ...
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... However, it is not a simple task to redirect the light rays from an extended light source in a desired manner due to the fact that an infinite number of incoming rays should be controlled simultaneously at each point on the optical surface. There are three typical types of design methods for tailoring illumination lenses with extended light sources: the optimization-based methods [9][10][11][12][13], feedback design methods [14][15][16][17][18], and direct design methods [2,[19][20][21][22]. The purpose of illumination optimization is to generate the best possible illumination system by iteratively varying the variable values so as to minimize a merit function by which the optical performance of the illumination system is measured. ...
... Since the feedback design is similar to a local optimization, the result is also determined by the initial point. The direct design method [2,[19][20][21][22] has several advantages over the illumination optimization [9][10][11][12][13] and feedback design methods [14][15][16][17][18]. It only includes numerical computation without Monte Carlo ray tracing and cumbersome iterative irradiance/intensity compensation [1]. ...
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... used as commercial color converters [7][8][9][10] due to their high thermal and moisture stability. To date, great efforts have been made to improve the efficiency of phosphor-based converters. ...
... Jiexin Li, Zongtao Li, Jiayong Qiu, and Jiasheng Li* DOI: 10.1002/adom.202102201 used as commercial color converters [7][8][9][10] due to their high thermal and moisture stability. To date, great efforts have been made to improve the efficiency of phosphor-based converters. ...
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