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Third-order aberration solution using aberration polynomials for a general zoom lens design

Third-order aberration solution using aberration polynomials...

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Conference on current developments in lens design and optical engineering VIII

作者： An, Hyun Kyoung Rayces, Juan L. Reardon, Patrick J. Univ Alabama Ctr Appl Opt Huntsville AL 35899 USA JL Rayces Consulting Tucson AZ 85718 USA

ISBN: (纸本)9780819468154

A mathematical approach for the third order solution for a general zoom lens design is proposed. The design starts with a first-order layout. lens elements with the proper refracting power are placed at the proper distances to meet the physical constraints of the intended lens system. For the third-order design stage, a matrix notation called "Aberration Polynomial," which clarifies the linearity of the transformation from a normal thin group configuration to a general thin,group configuration by pupil shift and conjugate shift theory is implemented. The purpose of the method is correcting low-order aberrations during the preliminary design of zoom lenses. The goal is to mathematically reduce to zero the four aberration coefficients of the third-order (spherical aberration, coma, astigmatism, and distortion) rather than searching for a minimum by commercial design software. Once this theory is proven and accepted, it becomes possible to determine how many groups are needed for a particular optical system. The method of aberration polynomials establishes the number of groups needed to correct a given number of aberrations at a Given number of zoom positions. Furthermore, it provides the shape or bending of the elements, from where it will be possible to continue to optimize with standard methods.

关键词： Zoom lenses Monochromatic aberrations lens design Chemical elements Distortion Astatine Patents Geometrical optics Spherical lenses optical engineering

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Large-format telecentric lens

Large-format telecentric lens

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Conference on current developments in lens design and optical engineering VIII

作者： Bai, Hanxiang Sadoulet, Samuel P. Edmund Opt Inc 101 E Gloucester Pike Barrington NJ 08007 USA

ISBN: (纸本)9780819468154

Research and development efforts to improve the performance of telecentric lens design for large-format cameras are driven by the ever-increasing deployment of these types of systems into the industrial Imaging arena. These lens designs typically have stringent requirements for contrast and resolution (> 30% at 1001p/mm) across large sensor sizes (up to 90mm) while maintaining both object- and image-space 91 telecentricity (0.1 degrees object-space, 0.2 degrees image-space). This paper explores various characteristics related to large-format telecentric lens designs and performance. In particular, details around advantages of afocal finite-conjugate imaging, mathematic expression for chromatic telecentricity, and desensitization of working distance variance are discussed with reference to geometric optics and aberration theory. Improvement of chromatic telecentricity and relief of requirement on image-distance accuracy are shown with graphics and MTF plots. Product parameter performance data is provided as an example.

关键词： large-format telecentric lens double telecentric lens telecentric lens large format machine vision lens telecentricity chromatic telecentricity afocal optical system desensitization

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Polarization vortices in optical design

Polarization vortices in optical design

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current developments in lens design and optical engineering VIII

作者： Brown, Thomas G. Institute of Optics University of Rochester Rochester NY 14627 United States

ISBN: (纸本)9780819468154

A pupil engineered with a polarization vortex can have a profound impact on certain classes of optical systems. This paper describes the recent history, ongoing activity, and applications of polarization vortices in optical system design, with special attention to the impact of a vortex filter placed in the pupil of an illumination system. Two systems of particular interest for these types of fields are confocal microscopy, in which a dark field imaging mode is accessible, and immersion lithography, in which azimuthal illumination is favored.

关键词： optical design

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Modeling of polychromatic MTF losses due to secondary effects in diffractive lenses

Modeling of polychromatic MTF losses due to secondary effect...

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Conference on current developments in lens design and optical engineering VIII

作者： Thorpe, Michael D. Jonas, Reginald P. Szapiel, Stanislaw ELCAN Opt Technol 450 Leitz Rd Midland ON L4R 5B8 Canada

ISBN: (纸本)9780819468154

Although hybrid (i.e. refractive-diffractive) surfaces are in common use in optical design there are several phenomena which affect design MTF that are not routinely modeled in current commercial versions of optical desig,n software. Typically the details of the diffractive structure are not taken into account and rays are traced through the hybrid surface employing a vector grating equation which uses the phase gradient associated with the diffractive definition to calculate a local grating spacing and orientation and from this grating information a 'diffracted ray' angle. This geometrical-optics based procedure has limitations;(I)it considers only the design diffraction order, (2)it does not take into account the sub-aperturing effect whereby color correction is reduced along, with zone count, and (3) the model used does not generate an exact blaze profile. In this paper we discuss progress in application of diffraction-based beam propagation tools in combination with a physical definition of the diffractive structure to more accurately model these secondary effects on design MTF. Results are given for some simple lenses and also the effects to be expected for a more complex zoom lens.

关键词： lens design lenses

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optical encoder based on a non diffractive beam

Optical encoder based on a non diffractive beam

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Conference on current developments in lens design and optical engineering VIII

作者： Lutenberg, A. Perez Quintian, F. Rebollo, M. A. Univ Buenos Aires Fac Ingn Lab Aplicac Opt Av Paseo Colon 850 Buenos Aires DF Argentina

ISBN: (纸本)9780819468154

Nowadays most industrial and laboratory motion measuring equipment makes use of optical encoders to measure rotation and linear displacements with sub-micrometrical resolution. In this work we introduce a new design of an optical encoder based on a non diffractive beam, a binary amplitude grating and a monolithic photodetector. Two theoretical models of the system are proposed and implemented to obtain numerical results. The performance of the design is also investigated through experimental measurements. Finally, the experimental results are compared with the models predictions.

关键词： metrology optical encoder sub-micrometric resolution non diffractive beam gratings

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Estimating the factors restricting potential dynamic range in the optical scheme of acousto-optical spectrometer for the Mexican Large Millimeter Telescope

Estimating the factors restricting potential dynamic range i...

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Conference on current developments in lens design and optical engineering VIII

作者： Shcherbakov, Alexandre S. Mata, Sandra E. Balderas Lucero, D. Sanchez Natl Inst Astrophys Opt & Elect AP 51 & 216 Puebla 72000 Mexico

ISBN: (纸本)9780819468154

Here, we consider one of the most important problems related to optimizing the performance data of a new acousto-optical spectrometer for the analysis of radio-astronomical signals. The main attention is paid to estimating two factors governing the dynamic range of that spectrometer. At first, we determine the influence of the acoustic attenuation along a large-aperture acousto-optical cell on potential levels of lobes in focal plane of the integrating lens and then describe capabilities of the incident light beam apodization for increasing the dynamic range of spectrometer. These studies lie in a line with the program of developing metrological equipment for Mexican Large Millimeter Telescope.

关键词： acousto-optics dynamic range large-aperture acousto-optical cell acoustic attenuation beam apodization

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Analysis of stray light in most complex situations

Analysis of stray light in most complex situations

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current developments in lens design and optical engineering VIII

作者： Perrin, Jean-Claude J.C.P.C. - Le Buet Mellecey 71640 France

ISBN: (纸本)9780819468154

To analyze ghost effects in optical systems including decentred coatings with thickness variations, polarized light and interactions with object and image planes is a difficult task. Thanks to a battery of tools especially developed in the last ten years and applied to many different situations, it is possible to do such jobs in a quick and elegant manner. As an example, we shall consider optical relay lenses used for photolithography. The object plane is the reticle;The image plane is the wafer.

关键词： optical systems

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Focal splitting and optical vortex structure induced by stress birefringence

Focal splitting and optical vortex structure induced by stre...

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Conference on current developments in lens design and optical engineering VIII

作者： Spilman, Alexis K. Beckley, Amber M. Brown, Thomas G. Univ Rochester Inst Opt Rochester NY 14627 USA

ISBN: (纸本)9780819468154

A variety of interesting polarization effects can be observed using a parallel-face window placed under symmetric stress of order m = 3 and illuminated with polarized light. Such windows, when placed under sufficient stress, can produce rings of alternating vortex and non-vortex fields. When light is brought to a focus, one component of circular polarization forms two nearly diffraction limited focal spots with axial separation larger than the usual depth of focus. We analyze and experimentally test these phenomena using interferometric methods as well as a Strehl ratio model and conclude by discussing applications to optical imaging.

关键词： polarization birefringence vortex beams

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Proceedings of SPIE: current developments in lens Desian and optical engineering VIII

Proceedings of SPIE: Current Developments in Lens Desian and...

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current developments in lens design and optical engineering VIII

ISBN: (纸本)9780819468154

The proceedings contain 24 papers. The topics discussed include;new generation of high-resolution panoramic lenses;design and analysis of diffractive astigmatic lens for DVD pickup;large-format telecentric lens;rear landscape on steroids;optical encoder based on a nondiffractive beam;practical guide to saddle-point construction in lens design;predictability and unpredictability in optical system optimization;third order aberration solution using aberration polynomials for a general zoom lens design;vision multiplexing: an optical engineering concept for low-vision aids;modeling of polychromatic MT losses due to secondary effects in diffractive lenses;scene-based sensor modeling using optical design software;spectral response evaluation and computation for pushbroom imaging spectrometers;polarization vortices in optical design;and focal splitting and optical vortex structure induced by stress birefringence.

关键词： optical instrument lenses

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Predictability and unpredictability in optical system optimization

Predictability and unpredictability in optical system optimi...

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Conference on current developments in lens design and optical engineering VIII

作者： van Turnhout, Maarten Bociort, Florian Delft Univ Technol Opt Res Grp Lorentzweg 1 NL-2628 CJ Delft Netherlands

ISBN: (纸本)9780819468154

Local optimization algorithms, when they are optimized only for speed, have in certain situations an unpredictable behavior: starting points very close to each other lead after optimization to different minima. In these cases, the sets of points, which, when chosen as starting points for local optimization, lead to the same minimum (the so-called basins of attraction), have a fractal-like shape. Before it finally converges to a local minimum, optimization started in a fractal region first displays chaotic transients. The sensitivity to changes in the initial conditions that leads to fractal basin borders is caused by the discontinuous evolution path (i.e. the jumps) of local optimization algorithms such as the damped-least-squares method with insufficient damping. At the cost of some speed, the fractal character of the regions can be made to vanish, and the downward paths become more predictable. The borders of the basins depend on the implementation details of the local optimization algorithm, but the saddle points in the merit function landscape always remain on these borders.

关键词： optimization optical system design saddle points fractals basins of attraction

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