I compared the result to textbook results, and it seems like my program works fine. With more uniform thickness a fresnel lens is typically easier to replicate by molding. Tracepro, illumination and nonimaging optical design. Zoom out by right clicking your mouse and selecting zooming zoom out or just click on the zoom out button on the toolbar. The structure of the lens is built by two surfaces. Fresnels can be evaluated to arbitrary numerical precision. First, i cannot understand why the drawn red axis is not same with ellipses imaginative major axis. Beginner tutorial 4 designing a fresnel lens with the. A fresnel lens focal length of 100mm, made of pmma. The zero order would not focus at all so that would focus at infinity. In zemax software with the lens width definition, it is possible to design the fresnel lens in radial and cylindrical modes, it is obvious that the width of the radial fresnel lens is zero 10,11.
The design process of fresnel lens was performed using matlab program. Matlab program is used to design the input and the output surfaces of the lens. This package provides several functions to compute the fresnelet transform of complex wavefronts, as described in 1. For a plane wave normally incident upon a zone plate, the diffracted light will be concentrated at the focal points along the optical axis.
Complementary zone plates as shown in figure 2 give the same diffraction pattern. This file was inspired by the file fresnel integrals by peter volegov. Compared with a parabolic mirror, a fresnel lens has its focus behind the lens surface. Refractive index and transmission tables for 112 sellmeier and. Jan 29, 2011 the general principle of a fresnel lens is as follows. The design of a curved fresnel lens is more complex than the design of a flat lens. Design of a plastic aspheric fresnel lens with a spherical shape. I wrote a short matlab script file that is suppose to run fresnels propagation diffraction, such that given a certain input field u0, it will tell you how the field looks after distance z0. The novel linear fresnel lens is designed in the matlab program and then the data from matlab are applied to lighttools tm to draw the lens in three dimensions 3d. Left fresnel lens and led orientation, right led light distribution collimation using an acrylic fresnel. It focuses light with a thin opaque foil sheet punched with specially shaped holes, thus focusing light on a certain point by using the phenomenon of diffraction.
That file uses a mex file to compute the fresnel integral using the same method that this file uses. Optical design of the fresnel lens for leddriven flashlight. Find the fresnel sine integral function for these numbers. I implemented the same technique directly in matlab. The minus one order would create a virtual focus over here, and the minus two and minus three. The input surface and the output surface are independent to each other in. We must match the grooved surface to the outer surface so the two combine to produce the correct focal length. The advantages of a fresnel lens are that more light is transmitted due to lower absorption and dispersion. With a curved lens, the outer surface will refract in incident ray.
The fresnel lighthouse lens works so well that the light can be seen from a distance of 20 or more miles. Fresnel lens a fresnel lens reduces the amount of bulk glass. Fresnels z is an entire function of z with no branch cut discontinuities. Note 2 the value of the expression is unchanged if the position r varies in a direction normal. For these reasons fresnel lenses are being considered for improved laser scanning. Design, fabrication, and characterization of fresnel lens. Fermats principle states that the path of a light ray follows is an. Pdf design analysis of a fresnel lens concentrating pv cell. This model computes the reflection and transmission coefficients and compares to the fresnel equations.
The fresnel lens appears much like a giant glass beehive with a lamp in the center. Such lenses are often used as condensors in overhead projectors, spotlights and signal lamps. Designing the optimal fresnel lenses by using zemax software. Optometrika file exchange matlab central mathworks. The lens is first designed in the matlab program, based on the.
Educational software for interference and optical diffraction analysis in fresnel and fraunhofer regions based on matlab guis and the fdtd method. In fact, fermats principle is a concise statement that contains all the physical laws, such as the law of reflection and the law of refraction, in geometrical optics. When considering the design of fresnel lenses for microoptics applications we are typically restricted to the selection of a very few parameters. A novel technique to design flat fresnel lens with uniform. Pdf design of curved fresnel lens with high performance. Pdf simulation of photovoltaic concentration with fresnel lens. Pdf a novel technique to design flat fresnel lens with uniform. Fresnel sine integral function for numeric and symbolic arguments. The fresnel lighthouse lens works so well that the. Pdf design of an efficient fresneltype lens utilizing. Ray tracing technique has been used to optimize the structure of. Links on optical design and engineering the purpose of this site is to provide a comprehensive list of links related to optics and optical simulation in general. There are definite advantages and tradeoffs that should be considered when deciding if a fresnel lens is the.
For certain special arguments, fresnels automatically evaluates to exact values. Material and component specifications linear fresnel reflector. Energy3d simulations of linear fresnel reflector solar power plants around the world. How to create fresnel diagram profiles matlab answers.
A double lens system, which consists of a spherical and an aspherical planoconvex fresnel lens, was designed using a sihdpe hybrid substrate. Save the project by selecting file save as from the main menu, naming the project fresnel lens. The first lens lens 1 was set to have a spherical shape with the lens curvature radius of 11. The simulation results have been shown that fresnel lens has a good optical property such asconcentration ratio is 2500x, fnumber 0. A symmetrical convex shaped fresnel lens is designed.
This animation demonstrates the design and function of a fixed fresnel lens, used to illuminate lighthouses in the mid to late 1800s. The computeraided design cad files and all associated content posted to this website are created, uploaded, managed and owned by third party users. Design of curved fresnel lens with high performance creating. Imagine a flat pane of glass centred on an optical axis and another point p, also located on the optical axis. Fresnel cosine integral function for numeric and symbolic input arguments. Fresnel lens fresnel lenses are constructed such that the curved surface of a lens is collapsed in annular zones to a thin plate. The resulting lens array produces a point spread function psf capable of distinguish the presence of humans from pets by the employment of the socalled wavefront coding method. The structure of the lens is designed firstly by using matlab program for every sublens. Feb 01, 2016 optical design of the fresnel lens for leddriven flashlight. Design and fabrication of sihdpe hybrid fresnel lenses for.
A fresnel imager is a proposed ultralightweight design for a space telescope that uses a fresnel array as primary optics instead of a typical lens. A plane electromagnetic wave propagating through free space is incident at an angle upon an infinite dielectric medium. Novel design of primary optical elements based on a linear. You may receive emails, depending on your notification preferences. As opposed to other nonimaging concentrators, the threedimensional design of an optimum shaped fresnel lens according to the edge ray principle is defined by seven parameters. The ray tracing technique is used to estimate the performance of the design process. There are definite advantages and tradeoffs that should be considered when deciding if a fresnel lens is the appropri ate component to use in a design. Ray tracing technique has been used to optimize the structure of lens using lighttools tm software.
Learn more about fresnel diagram profile, radiocover. Key design variants linear fresnel reflector is currently available in only one design and being marketed by kgds renewable energy pvt. Fresnel cosine integral function for numeric and symbolic input arguments find the fresnel cosine integral function for these numbers. Ray tracing technique has been used to optimize the structure of lens using lighttools. Looking for downloadable 3d printing models, designs, and cad files. Jul 29, 2012 this animation demonstrates the design and function of a fixed fresnel lens, used to illuminate lighthouses in the mid to late 1800s. Define the lens create the parametric lens with the following steps. In addition i am trying to rotate the ellipse using atan2. Error in defined expression for fresnel equation in matlab. The distance between any point on the glass pane call it x and the point p will depend on. The fresnel lens can be used in a wide variety of applications. It can attain a maximum temperature of up to 250c as per the varying heat re. Enduse applications linear fresnel reflector is used for the low to medium process heat applications. In a cpv system, the poe is usually a fresnel lens, which is used to collect and guide.
Lenses of general shapes can be modeled, with light rays entering arbitrary angles. Applicationbased design of the fresnel lens solar concentrator. The use of a fresnel lens is one of the typical design options for the concentrating pv systems. So, the general fresnel lens actually creates a whole set of foci and the amplitude of those would depend on the diffraction efficiency of those various orders. The fresnel lens is composed of micrometersized vgroove structures that determine the maximum illuminance and brightness uniformity of leddriven flashlights, which are. Freeform optics design of primary lens for uniform irradiance. Design of fresnel lenses and binarystaircase kinoforms of. Plot of the reflection coefficient of light as function of incidence angle for the surface of a dielectric with refractive index 1. Nov 03, 2012 % plots the fresnel reflectivities andor absorptivities spol, ppol % and circ. The input surface and the output surface are independent to each. The computeraided design cad files and all associated content posted to this website are created, uploaded, managed and. The distance between any point on the glass pane call it x and the point p will depend on the axial height of x i. The fresnel lens is composed of micrometersized vgroove structures that determine the maximum illuminance and brightness uniformity of leddriven flashlights, which are used in highquality photography. Spie 6196, 61960n 2006 the analysis of light extraction efficiency of ganbased leds with a novel microcavity.
I am trying to draw the fresnel ellipse and a line between two points x1,y1 and x2,y2. Since these are not symbolic objects, you receive floatingpoint results. Scale of zones is large and the wavefront segments are not rearranged to recreate. Fresnel sine integral function matlab fresnels mathworks. Design of curved fresnel lens with high performance.
Computer simulation of linear fresnel reflectors youtube. Basic heat transfer analysis of each application decides its solar energy requirement. Fresnel lens, ray tracing simulation tool 1introduction it is well known that refractive fresnel lenses 1,2 are much thinner and lighter than their refractive counterparts. A fresnel lens b is a collapsed version of a conventional lens a. The most popular lens used in cpv system is the fresnel lens, due to its. Find the fresnel cosine integral function for these numbers. The lens is composed of rings of glass prisms positioned above and below the lamp to bend and concentrate the light into a bright beam. A cubicphase distribution is applied in the design, fabrication and characterization of inexpensive fresnel lens arrays for passive infrared motion sensors. Design and evaluation of the fresnellens based solar concentrator system. This is illustrated in figure1, which shows a crosssectional view of a planoconvex spherical lens 1a and a fresnel lens 1b, whose focal length is the same. Topics include optical design, optical engineering, illumination, laser, optical materials, thin film coatings, and many more subjects needed to build and analyze complex optical systems. As shown in the figure below, this has the refracting effect of the lens without its thickness or weight. The general principle of a fresnel lens is as follows. Design of fresnel lens optical components coursera.