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Designing illumination lenses and mirrors by the numerical solution of Monge-Ampere equations (vol 32, pg 2227, 2015)

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JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION 2016年第1期33卷 117-117页

作者： Brix, Kolja Hafizogullari, Yasemin Platen, Andreas Rhein Westfal TH Aachen Inst Geometrie & Prakt Math D-52056 Aachen Germany

Production errors in the published version of J. Opt. Soc. Am. A 32, 2227 (2015) [CrossRef] ? arereported in this note. The errors involve the rendering and content of themathematics and some of the references and th... 详细信息

关键词： Numerical approximation and analysis computation methods Nonspherical lens design Nonspherical mirror surfaces Nonimaging optics Inverse problems

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Design of optical systems for LED road luminaires

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APPLIED OPTICS 2015年第2期54卷 163-170页

作者： Zalewski, Slawomir Warsaw Univ Technol Inst Elect Power Engn Warsaw Poland

The introduction of light-emitting diodes (LEDs) for lighting necessitated a completely new quality in the construction of luminaires. The different production technology required new methods and designing tools. It also challenged designers with new problems to solve. This paper presents the design process of a LED luminaire from concept to implementation, exemplified by road lighting, and describes the methods and procedures used by the designer. Also, technological problems influencing the quality of the above lighting are addressed. (C) 2015 Optical Society of America

关键词： Lens system design computation methods Optical design and fabrication Lens system design

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Differentiability of a projection functional in ray-tracing processes: applied study to estimate the coefficients of a single lens with conic surfaces

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JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION 2015年第1期32卷 35-45页

作者： Tellez-Quinones, Alejandro Malacara-Doblado, Daniel Garcia-Marquez, Jorge Ctr Invest Opt AC Guanajuato 37150 Mexico LNE CNAM Lab Commun Metrol F-75724 Paris France

In optical design, many error functions can be used to generate an optical system with desired characteristics. These error functions are optimized by iterative algorithms. However, these error functions should be theoretically and mathematically differentiable to be optimized. In this paper, the differentiability of an error function is partially justified. The error function herein is called the projection functional. This proposed projection functional can be used to estimate the coefficients of an arbitrary lens with conic surfaces by means of the spot distributions on two planes produced by a fixed Hartmann plate. The differentiability of the projection functional is required to guarantee the existence of its Jacobian matrix, which is a suitable condition to minimize this functional by iterative methods. Numerical examples of the functional minimization are given. (C) 2014 Optical Society of America

关键词： Mathematical methods (general) Lenses Testing computation methods Nonspherical lens design Systems with special symmetry

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Cramer-Rao lower bound calculations for image registration using simulated phenomenology

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JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION 2015年第8期32卷 1425-1436页

作者： Tyler, David W. Dank, Jeffrey A. Univ Arizona Coll Opt Sci Tucson AZ 85721 USA Integr Applicat Inc Chantilly VA 20151 USA Lockheed Martin Space Syst Co Adv Technol Ctr Palo Alto CA 94304 USA

The Cramer-Rao lower bound (CRLB) is a valuable tool to quantify fundamental limits to estimation problems associated with imaging systems, and has been used previously to study image registration performance bounds. Most existing work, however, assumes constant-variance noise;for many applications, noise is signal-dependent. Further, linear filters applied after detection can potentially yield reduced registration error, but prior work has not treated the CRLB behavior caused by filter-imposed noise correlation. We have developed computational methods to efficiently generalize existing image registration CRLB calculations to account for the effect of both signal-dependent noise and linear filtering on the estimation of rigid-translation ("shift") parameters. Because effective use of the CRLB requires radiometrically realistic simulated imagery, we have also developed methods to exploit computer animation software and available optical properties databases to conveniently build and modify synthetic objects for radiometric image simulations using DIRSIG. In this paper, we present the generalized expressions for the rigid shift Fisher information matrix and discuss the properties of the associated CRLB. We discuss the methods used to synthesize object "sets" for use in DIRSIG, and then demonstrate the use of simulated imagery in the CRLB code to choose an error-minimizing filter and optimal integration time for an image-based tracker in the presence of random platform jitter. (C) 2015 Optical Society of America

关键词： computation methods Image quality Image registration Imaging systems Linear filtering Medical imaging

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Ray tracing method in arbitrarily shaped radial graded-index waveguide

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APPLIED OPTICS 2015年第29期54卷 8795-8799页

作者： Tsukada, Kenji Nihei, Eisuke Keio Univ Fac Sci & Technol Dept Appl Phys & Physicoinformat Kohoku Ku Yokohama Kanagawa 2238522 Japan

A ray tracing algorithm for an arbitrarily shaped axially symmetric graded index waveguide was proposed. This was achieved by considering the center of the waveguide (optical axis) as a set of discrete points. The refractive index depends on the distance of the ray position from the optical axis. This distance was approximated as the shortest distance between the ray position and a point in the set. Using this algorithm, ray tracing could be performed, regardless of the waveguide configuration. In this study, a precise explanation of the algorithm is given and the errors are evaluated. A technique to reduce computing time is also included. (c) 2015 Optical Society of America

关键词： Geometric optical design computation methods Gradient-index lenses

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Aberrational properties of a spherical surface

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JOURNAL OF OPTICAL TECHNOLOGY 2015年第9期82卷 598-601页

作者： Ezhova, V. V. Zverev, V. A. Tochilina, T. V. ITMO Univ St Petersburg Russia

It is shown that a spherical surface in general incorporates all five monochromatic aberrations in the formation of an image. Using a spherical surface as an example, an obvious representation is given of how the aberrations affect the structure of the pencil of rays that forms an image and of how the image aberrations are interconnected. (C) 2015 Optical Society of America.

关键词： computation methods Curvature Monochromatic aberrations Optical systems Refraction Surfaces

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Deconvolution method in designing freeform lens array for structured light illumination

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APPLIED OPTICS 2015年第5期54卷 1114-1117页

作者： Ma, Donglin Feng, Zexin Liang, Rongguang Univ Arizona Coll Opt Sci Tucson AZ 85721 USA Univ Arizona Dept Phys Tucson AZ 85721 USA Tsinghua Univ Dept Precis Instruments Beijing 100084 Peoples R China

We have developed a deconvolution freeform lens array design approach to generate high-contrast structured light illumination patterns. This method constructs the freeform lens array according to the point response obtained by deconvoluting the prescribed illumination pattern with the blur response of the extended light source. This design method is more effective in designing a freeform lens array to achieve accurate structured light patterns. For a sinusoidal fringe pattern, the contrast ratio can be as high as 97%, compared to 62% achieved by the conventional ray mapping method. (C) 2015 Optical Society of America

关键词： Geometric optics computation methods Nonspherical lens design Nonimaging optics Illumination design Light-emitting diodes

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Method for computing the optimal signal distribution and channel capacity

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OPTICS EXPRESS 2015年第12期23卷 15119-15133页

作者： Shapiro, E. G. Shapiro, D. A. Turitsyn, S. K. Inst Automat & Electrometry Novosibirsk 630090 Russia Novosibirsk State Univ Novosibirsk 630090 Russia Aston Univ Aston Inst Photon Technol Birmingham B4 7ET W Midlands England

An iterative method for computing the channel capacity of both discrete and continuous input, continuous output channels is proposed. The efficiency of new method is demonstrated in comparison with the classical Blahut - Arimoto algorithm for several known channels. Moreover, we also present a hybrid method combining advantages of both the Blahut Arimoto algorithm and our iterative approach. The new method is especially efficient for the channels with a priory unknown discrete input alphabet. (C) 2015 Optical Society of America

关键词： Amplified spontaneous emission computation methods Fiber optic communications Nonlinear optical fibers Optical communications Signal regeneration

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Composite modified Luneburg model of human eye lens

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OPTICS LETTERS 2015年第17期40卷 3990-3993页

作者： Gomez-Correa, J. E. Balderas-Mata, S. E. Pierscionek, B. K. Chavez-Cerda, S. Inst Nacl Astrofis Opt & Electr Dept Opt Tonantzintla 72840 Mexico Univ Guadalajara Dept Elect Guadalajara 44840 Jalisco Mexico Kingston Univ London Fac Sci Engn & Comp Kingston Upon Thames KT1 2EE Surrey England Ctr Invest Opt Leon 37150 Mexico

A new lens model based on the gradient-index Luneburg lens and composed of two oblate half spheroids of different curvatures is presented. The spherically symmetric Luneburg lens is modified to create continuous isoindicial contours and to incorporate curvatures that are similar to those found in a human lens. The imaging capabilities of the model and the changes in the gradient index profile are tested for five object distances, for a fixed geometry and for a fixed image distance. The central refractive index decreases with decreasing object distance. This indicates that in order to focus at the same image distance as is required in the eye, a decrease in refractive power is needed for rays from closer objects that meet the lens surface at steeper angles compared to rays from more distant objects. This ensures a highly focused image with no spherical aberration. (C) 2015 Optical Society of America

关键词： Inhomogeneous optical media computation methods Ray trajectories in inhomogeneous media Gradient-index lenses Vision color and visual optics Visual optics modeling

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Creating unconventional geometric beams with large depth of field using double freeform-surface optics

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APPLIED OPTICS 2015年第20期54卷 6277-6281页

作者： Feng, Zexin Froese, Brittany D. Huang, Chih-Yu Ma, Donglin Liang, Rongguang Univ Arizona Coll Opt Sci Tucson AZ 85721 USA Tsinghua Univ Dept Precis Instrument Beijing 100084 Peoples R China Univ Texas Austin Dept Math Austin TX 78712 USA Univ Texas Austin ICES Austin TX 78712 USA Univ Arizona Dept Phys Tucson AZ 85721 USA

We consider here creation of an unconventional flattop beam with a large depth of field by employing double freeform optical surfaces. The output beam is designed with continuous variations from the flattop to almost zero near the edges to resist the influence of diffraction on its propagation. We solve this challenging problem by naturally incorporating an optimal transport map computation scheme for unconventional boundary conditions with a simultaneous point-by-point double surface construction procedure. We demonstrate experimentally the generation of a long-range propagated triangular beam through a plano-freeform lens pair fabricated by a diamond-tuning machine. (C) 2015 Optical Society of America

关键词： Geometric optical design computation methods Nonspherical lens design Nonimaging optics Laser beam shaping

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