• Title/Summary/Keyword: wavefront

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An Analysis of Stress Waves in an Elastic Half Space to a Normal Point Force of Ramp Type in Time (램프형 포인트하중에 의한 반무한 탄성체의 응력파해석)

  • Kim, Hyun-Sil;Kim, Jae-Seung;Kang, Hyun-Joo;Kim, Sang-Ryul
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.4
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    • pp.673-678
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    • 1997
  • Stress wave propagations in an elastic half space to a normal point force of ramp type in time are analyzed. The governing equations are transformed by applying the Laplace and Hankel transforms with respect to time and radial distance. The inversion of Laplace transforms are performed by employing the Cagniard-de Hoop method, where the Rayleigh waves at surface are obtained by including the residue terms. The stress waves computed at the location very cose to the surface are shown to be almost identical to the surface waves obtained by the residue method except the Rayleigh wavefront. It is found that at the surface, the stresses are dominated by the Rayleigh waves, whose amplitudes increase linearly with time when time is very large. It is also found that in the interior part, the radial stress has a logarithmic singularity at the shear wavefront, while tangential stress shows no singularity.

Robert H. Koch's Work on Lightweight Medium-Aperture Mirrors

  • Holenstein, Bruce D.;Mitchell, Richard J.
    • Journal of Astronomy and Space Sciences
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    • v.29 no.1
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    • pp.79-84
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    • 2012
  • After a visit by Peter Waddell from the University of Strathclyde, Glasgow, UK in 1991, Robert H. Koch launched a program at the University of Pennsylvania to build lightweight pneumatic membrane mirrors, initially for balloon flight observations where weight is at a premium. Mirror cells were fabricated from sizes 0.18 m to 1.77 m, and experiments conducted to characterize the mirror figure and stability. Most of the work stopped after Prof. Koch's retirement in 1996 until 2006 when the authors expressed an interest in building an array of medium-aperture portable telescopes. The program restarted in earnest at Gravic, Inc. in Malvern, PA in 2008 with Koch using his extensive observational astronomy experience to guide the fabrication of a fully operational 1.07 m membrane mirror telescope with an optical tube assembly weighing under 45 Kg. Residual wavefront aberrations remediation resulted in Koch and the authors investigating membrane tensioning techniques with different cell designs, active secondary wavefront correction, photometric algorithms for aberrated images, and the use of additional lightweight mirror substrates from the Alt-Az Initiative Group, such as foamed glass. The best result for the lightweight mirrors was a point spread function spot size of several arc seconds. A lightweight 1.6 m cast aluminum cell alt-az telescope was subsequently designed by Koch and the authors for prime focus use.

Dual Band Optical Window (DBW) for Use on an EO/IR Airborne Camera

  • Park, Kwang-Woo;Park, Sang-Yeong;Kim, Young-Soo;Kim, Ki-Ho;Choi, Young-Soo
    • Journal of the Optical Society of Korea
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    • v.16 no.1
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    • pp.63-69
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    • 2012
  • This paper presents a method to derive the theoretical requirements for the development of a 400 mm optical window that transmits dual-band wavelengths and had a stable structure. We also present design and fabrication results. Among the required specifications, the surface figure error was defined by the transmitted wavefront deformation (TWD), ${\lambda}$/15 rms at 632.8 nm. This value was derived by estimating the predicted performances with respect to five independent items that could cause system performance degradation and then calculating the required wavefront error (WFE) to satisfy the performance goals. We measured the image resolution at each performance level to trace and verify the requirements. The article also describes a design optimization process that could minimize the weight and volume of the optical window attached to the payload securing the FOV of the camera. In addition, we accurately measured the deformation that occurred in the series of fabrication steps including processing, coating, assembly, bonding and bolting, and investigated the effects by comparing them to the results of a simulation performed in advance to derive the predicted performance.

The Fabrication of Microlenses by Photoresist Melting Method (Photoresist 용융법을 이용한 미세렌즈 행렬 제작)

  • 주영구;송현우;이용희;송석호
    • Korean Journal of Optics and Photonics
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    • v.5 no.2
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    • pp.298-303
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    • 1994
  • Microlens arrays are fabricated by melting "islands" of thick photoresist on a glass substrate. Microlenses with diameters $25\mu\textrm{m}$, $50\mu\textrm{m}$, $100\mu\textrm{m}$are made. Their surface profiles are obtained by a scanning electron microscope and a mechanical surface profilometer. The wavefront of the microlenses is measured by phase-shifting techniques using a Mach-Zehnder-like configuration. Thereby wavefront errors, focal lengths. point spread functions are obtained. The microlens with the diameter of $100\mu\textrm{m}$ has focal length of $164\mu\textrm{m}$ and spot diameter is less than $5\mu\textrm{m}$..

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A Concept of Adaptive Focusing using a Rotman Lens for Detecting Buried Structures

  • Kim, Jae-Heung
    • Proceedings of the Korea Electromagnetic Engineering Society Conference
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    • 2003.11a
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    • pp.536-540
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    • 2003
  • A new concept of adaptive focusing, using a Rotman lens, is presented in this paper. A Rotman lens is a microwave lens which is able to focus microwave power on its focal arc or generate multiple beams. By adding the array of phase shifters between a Rotman lens and antenna elements, the wavefront can be adaptively modulated to focus objects distributed in short range rather than far-field zone. From the optical point of view, the propagations of the lens have been simplified from the Fresnel diffraction integral to the Fourier transform. Using Fourier Transform, a beam propagation method has been developed to show improvement of the resolution by controlling wavefront of wave propagating from an aperture-type antenna array. The beam width(or spot size) and intensity have been calculated for a focused beam propagating from an array having $10{\lambda}$ of its size. For the beam with $20{\lambda},\;30{\lambda}$, and $50{\lambda}$ of geometrical focal length, the half-power beamwidth (spot size) is about $1.1{\lambda},\;1.3{\lambda}$, and $1.9{\lambda}$, respectively.

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Detection Algorithm of Lenslet Array Spot Pattern for Acquisition of Laser Wavefront (레이저 파면 획득용 Lenslet Array 점 패턴 검출 알고리즘)

  • Lee, Jae-Il;Lee, Young-Cheol;Huh, Joon
    • Journal of the Korea Institute of Military Science and Technology
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    • v.8 no.4 s.23
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    • pp.110-119
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    • 2005
  • In this paper, a new detection algorithm was proposed for finding the position of lenslet array spot pattern used to acquire laser wavefront. Based on the analysis of the required signal processing characteristics, we categorized into and designed four main signal processing functions. The proposed was designed in order to have robust feature against a variation of geometrical form of the spot and also implemented to have semi-automatic thresholding capability based on CCD noise analysis. For performance evaluation, we made qualitative and quantitative comparisons with Carvalho's algorithm which has been published in recent. In the given experimental spot images, the proposed could detect the spots which has 1/3 times lower than the least S/N of which Carvalho's can detect and could reach to a detection precision of 0.1 pixel at the S/N. In functional aspect, the proposed could separate all valid spots locally. From these results, the proposed could have a superior precision of location detection of spot pattern in wider S/N range.

Development of Free-form PALs for Correcting Wavefront Refraction (파면굴절력 교정을 위한 자유형상 누진가입도렌즈 개발)

  • Baarg, Saang-Bai;Jeong, Mee-Suk
    • Journal of the Korean Society for Precision Engineering
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    • v.27 no.2
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    • pp.50-59
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    • 2010
  • In this paper, two kind of free-form progressive addition lenses (PALs) were designed with Zernike polynomial surface and anatomically accurate finite presbyopic schematic eyes which have aspheric cornea, aspheric GRIN crystalline lens, aspheric retina, and Gaussian apodization factor. Geometrical and diffraction MTFs were used for the optimization process in sequence. 5th orders of Zernike polynomials were used for the evaluation of progression zones of the two examples. The target MTF was set as 0.22 at 100 lp/mm which satisfies the standard visual resolution. These examples were fabricated with a CNC diamond turning machine controlled by slow tool servo (STS). After polishing process, the wavefront aberrations were measured with a laser interferometer on the ten test points across the progression zones and then compared with three current commercially available PALs on the optical performance. Astigmatic aberrations of the examples are very lower than the three selected PALs and have more increased stabilized progressive intermediate zones and near zones. It is expected to give better clear and comfortable distance, intermediate and near visions than other conventional PALs and to improve the adaptability of presbyopic patients to PALs.

A Study of Tunnel Entrance Hood Shape of High-Speed Train with Side Running Effect (편측 주행을 고려한 고속철도 터널의 후드 형상에 대한 연구)

  • Kwak, Min-Ho;Ku, Yo-Cheon;Yun, Su-Hwan;Rho, Joo-Hyun;Lee, Dong-Ho
    • Proceedings of the KSR Conference
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    • 2009.05b
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    • pp.483-488
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    • 2009
  • When a train enters into the tunnel with high speed, a compression wave generated inside the tunnel has been studied as a one-dimensional phenomenon. However, one-dimensional approach can't analyze 3-dimensional flow effect in the vicinity of the train body. In this research, so as to overcome this weak point, a prediction method of the wavefront of a compression wave using steady state solution has been used for the parametric study considering 3-dimensional effects of the interactions between trains and tunnels. The effective hood shapes were deduced in both cases of the train's entry into the tunnel on the single track and on a side of the double track. As a result, in case of the train's entry on a side of the double track, the increase of compression wave value propagated to the tunnel inside have appeared compared with the train's entry on the single track. Also, a horizontally convex elliptic hood shape is more effective at the train's entry on a side of the double track for the purpose of a decrease of wavefront gradient of a compression wave.

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Modeling Alignment Experiment Errors for Improved Computer-Aided Alignment

  • Kim, Yunjong;Yang, Ho-Soon;Song, Jae-Bong;Kim, Sug-Whan;Lee, Yun-Woo
    • Journal of the Optical Society of Korea
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    • v.17 no.6
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    • pp.525-532
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    • 2013
  • Contrary to the academic interests of other existing studies elsewhere, this study deals with how the alignment algorithms such as sensitivity or Differential Wavefront Sampling (DWS) can be better used under effects from field, compensator positioning and environmental errors unavoidable from the shop-floor alignment work. First, the influences of aforementioned errors to the alignment state estimation was investigated with the algorithms. The environmental error was then found to be the dominant factor influencing the alignment state prediction accuracy. Having understood such relationship between the distorted system wavefront caused by the error sources and the alignment state prediction, we used it for simulated and experimental alignment runs for Infrared Optical System (IROS). The difference between trial alignment runs and experiment was quite close, independent of alignment methods; 6 nm rms for sensitivity method and 13 nm rms for DWS. This demonstrates the practical usefulness and importance of the prior error analysis using the alignment algorithms before the actual alignment runs begin. The error analysis methodology, its application to the actual alignment of IROS and their results are described together with their implications.

Optical Design of a Lister Objective Stable Against Chromatic Variation for 405-nm Wavelength (파장 405 nm에서 파장변화에 안정화된 Lister 대물렌즈 설계)

  • Kim, Jin-Hyung;Lee, Jong-Ung
    • Korean Journal of Optics and Photonics
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    • v.31 no.6
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    • pp.295-303
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    • 2020
  • A Lister objective of NA 0.25 and 10×, stabilized against chromatic variation for a wavelength of 405 nm is designed. We develop a new solution for stabilizing a cemented doublet that has specified axial thicknesses. Using the new method, we can easily obtain a useful design for some practical purpose. At the initial design stage, two cemented doublets corrected independently are used. The stabilizing conditions for the whole system are maintained during optimization. The final design of the Lister objective shows that the chromatic variation of EFL, BFL, and RMS wavefront errors are very small at the 405-nm wavelength, as expected.