• Title/Summary/Keyword: Phase-Shifting Algorithm

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Surface Flatness Test using 2-Bucket Algorithm Phase-shifting Interferometry (2-Bucket 알고리즘 위성 전이 간섭계를 이용한 평면 편평도 측정)

  • 정근욱;김동욱;길상근;박한규
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.29A no.11
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    • pp.62-69
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    • 1992
  • In this paper, a measurement system of surface flatness test using 2-Bucket algorithm phase-shifting interferometry is designed and constructed. In the conventional surface flatness test system using phase shifting interferometry, it is needed more than 3 fringe datas but we propose 2-Bucket algorithm phase-shifting interferometry which only uses two fringe datas. 2-Bucket algorithm uses the relative phase differences of the neighbour pixels. If we watch the result of phase-shift error test simulation, 2-Bucket algorithm has the same calculating values that 3-Bucket, 4-Bucket and 5-Bucket algorithm have them. Experiments have been carried out on the silicon wafer. The measurement of silicon wafer's surface flatness shows that the flatness topography using 2-Bucket algorithm is similar to that of other algorithms.

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A New Algorithm for Determination of Reference Phases in Phase-Shifting Interferometry (위상변이간섭법에서 기준위상 결정을 위한 새로운 알고리즘 개발)

  • 한건수
    • Korean Journal of Optics and Photonics
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    • v.4 no.4
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    • pp.397-402
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    • 1993
  • This paper presents a new computational algorithm of phase-shifting interferometry which can effectively eliminate the uncertainty errors of the reference phases encountered in obtaining multiple interferograms. The algorithm treats the reference phases as additional unknowns and determines their exact values by analyzing interferograms using numerical least square technique. A series of simulations prove that this algorithm can improve measuring accuracy being unaffected by the nonlinear and random errors of phase-shifters.

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Optimal Placement Design of Phase-Shifting Transformers for Power System Congestion Problems (계통 혼잡처리를 위한 Phase-Shifting Transformers의 최적 위치 선정)

  • Kim Kyu-Ho;Song Kyung-Bin
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.54 no.12
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    • pp.567-572
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    • 2005
  • This paper presents a scheme to design optimal placement of phase-shifting transformers for power system congestion problems. A good design of phase-shifting transformers placement can improve total transfer capability in interconnected systems. In order to find the optimal placement of phase-shifting transformers, the power flows of the interesting transmission lines are evaluated using sequential quadratic programming technique. This algorithm considers power balance equations and security constraints such as voltage magnitudes and transmission line capacities. The proposed scheme is tested in 10 machines 39 buses and IEEE 57 buses systems. Test result shows that the proposed method can find the optimal placement of phase-shifting transformers to solver power system congestion problems.

Optical Encryption Scheme for Cipher Feedback Block Mode Using Two-step Phase-shifting Interferometry

  • Jeon, Seok Hee;Gil, Sang Keun
    • Current Optics and Photonics
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    • v.5 no.2
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    • pp.155-163
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    • 2021
  • We propose a novel optical encryption scheme for cipher-feedback-block (CFB) mode, capable of encrypting two-dimensional (2D) page data with the use of two-step phase-shifting digital interferometry utilizing orthogonal polarization, in which the CFB algorithm is modified into an optical method to enhance security. The encryption is performed in the Fourier domain to record interferograms on charge-coupled devices (CCD)s with 256 quantized gray levels. A page of plaintext is encrypted into digital interferograms of ciphertexts, which are transmitted over a digital information network and then can be decrypted by digital computation according to the given CFB algorithm. The encryption key used in the decryption procedure and the plaintext are reconstructed by dual phase-shifting interferometry, providing high security in the cryptosystem. Also, each plaintext is sequentially encrypted using different encryption keys. The random-phase mask attached to the plaintext provides resistance against possible attacks. The feasibility and reliability of the proposed CFB method are verified and analyzed with numerical simulations.

Phase Peak Ambiguity According to Illumination in White-Light Phase-Shifting Interferometry (백색광 간섭계의 위상 정점 알고리즘에서 조명에 따른 위상 정점 모호성에 관한 연구)

  • Kim, Gee-Hong;Lee, Hyung-Seok
    • Journal of the Korean Society for Precision Engineering
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    • v.25 no.1
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    • pp.85-91
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    • 2008
  • White light scanning interferometry has gotten a firm position in 3D surface profile measuring field. Recently, the LCD industry gave a chance for this technology to enter into real industry fields. It is known that white-light phase-shifting algorithm give a best resolution compare to other algorithms, but there are some problems to be resolved. One of them is 300nm jump in height profile, called bat-wing effect. The main reason of this problem is an ambiguity of phase-peak detection algorithm, and some solution has been proposed, but it didn't work perfectly. In this paper, I will show the cases when these effects are occurred, and these height discrepancies will be almost disappeared when broad-band illuminators are used.

Measurement of a Mirror Surface Topography Using 2-frame Phase-shifting Digital Interferometry

  • Jeon, Seok-Hee;Gil, Sang-Keun
    • Journal of the Optical Society of Korea
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    • v.13 no.2
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    • pp.245-250
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    • 2009
  • We propose a digital holographic interference analysis method based on a 2-frame phase-shifting technique for measuring an optical mirror surface. The technique using 2-frame phase-shifting digital interferometry is more efficient than multi-frame phase-shifting techniques because the 2-frame method has the advantage of a reduced number of interferograms, and then takes less time to acquire the wanted topography information from interferograms. In this measurement system, 2-frame phase-shifting digital interferograms are acquired by moving the reference flat mirror surface, which is attached to a piezoelectric transducer, with phase step of 0 or $\pi$/2 in the reference beam path. The measurements are recorded on a CCD detector. The optical interferometry is designed on the basis of polarization characteristics of a polarizing beam splitter. Therefore the noise from outside turbulence can be decreased. The proposed 2-frame algorithm uses the relative phase difference of the neighbor pixels. The experiment has been carried out on an optical mirror which flatness is less than $\lambda$/4. The measurement of the optical mirror surface topography using 2-frame phase-shifting interferometry shows that the peak-to-peak value is calculated to be about $0.1779{\mu}m$, the root-mean-square value is about $0.034{\mu}m$. Thus, the proposed method is expected to be used in nondestructive testing of optical components.

Three Dimensional Shape Measurement of a Micro Fresnel Lens with In-line Phase-shifting Digital Holographic Microscopy

  • Kang, Jeon-Woong;Hong, Chung-Ki
    • Journal of the Optical Society of Korea
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    • v.10 no.4
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    • pp.178-183
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    • 2006
  • An in-line phase-shifting digital holographic microscopy system was constructed by inserting a conventional microscope in the object arm of a Mach-Zehnder interferometer. It was used to measure the three dimensional shape of a micro Fresnel lens. It was also shown that both the lateral and the axial resolutions of the in-line phase-shifting system using a self-calibration algorithm were superior to those of the best off-axis system.

Experimental Study of Two-step Phase-shifting Digital Holography based on the Calculated Intensity of a Reference Wave

  • Li, Jun;Pan, Yang Yang;Li, Jiao sheng;Li, Rong;Zheng, Tao
    • Journal of the Optical Society of Korea
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    • v.18 no.3
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    • pp.230-235
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    • 2014
  • Two-step quadrature phase-shifting digital holography based on the calculated intensity of a reference wave is proposed. In the Mach-Zehnder interferometer (MZI) architecture, the method only records two quadrature-phase holograms, without reference-wave intensity or object-wave intensity measurement, to perform object recoding and reconstruction. When the reference-wave intensity is calculated from the 2D correlation coefficient (CC) method that we presented, the clear reconstruction image can be obtained by some specific algorithm. Its feasibility and validity were verified by a series of experiments with 2D objects and 3D objects. The presented method will be widely used in real-time or dynamic digital holography applications.

Three-key Triple Data Encryption Algorithm of a Cryptosystem Based on Phase-shifting Interferometry

  • Seok Hee Jeon;Sang Keun Gil
    • Current Optics and Photonics
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    • v.7 no.6
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    • pp.673-682
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    • 2023
  • In this paper, a three-key triple data encryption algorithm (TDEA) of a digital cryptosystem based on phase-shifting interferometry is proposed. The encryption for plaintext and the decryption for the ciphertext of a complex digital hologram are performed by three independent keys called a wavelength key k1(λ), a reference distance key k2(dr) and a holographic encryption key k3(x, y), which are represented in the reference beam path of phase-shifting interferometry. The results of numerical simulations show that the minimum wavelength spacing between the neighboring independent wavelength keys is about δλ = 0.007 nm, and the minimum distance between the neighboring reference distance keys is about δdr = 50 nm. For the proposed three-key TDEA, choosing the deviation of the key k1(λ) as δλ = 0.4 nm and the deviation of the key k2(dr) as δdr = 500 nm allows the number of independent keys k1(λ) and k2(dr) to be calculated as N(k1) = 80 for a range of 1,530-1,562 nm and N(dr) = 20,000 for a range of 35-45 mm, respectively. The proposed method provides the feasibility of independent keys with many degrees of freedom, and then these flexible independent keys can provide the cryptosystem with very high security.

An Algorithm for Self-determing Degrees-of-freedom of Shifting Systems (변속 시스템의 자유도 자율 판단 알고리즘)

  • 임원식;박영일;이장무
    • Transactions of the Korean Society of Automotive Engineers
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    • v.5 no.6
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    • pp.202-214
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    • 1997
  • In automotive industries, one of major issues is the shifting shock, which is brought out when two clutches are engaged in an automatic transmission. The engagement and disengagement if two clutches means the variation of the D.O.F(degree of freedom) of system. Therefore to analyze the shifting performance, the variation of D.O.F should be considered in detail. Generally, the programs for analyzing the shifting transients have been developed as the problem-dependent codes because the artificial maris were usually used to indicate the change of shifting phase. To develop a software applicable to a general mechanism of transmissions, a self-determining algorithm of D.O.F must be applied. Through the experiences for the last several years, a generalized analysis software of shifting mechanism(so called by POTAS-MSM Version 2.0) has been developed. In this study, some major ideas of the software and the concept for the analysis of shifting characteristics are presented. In addition to that, this paper shows how to self -determine D.O.F of he multi-slipping systems using the stick-slip criterion on a single slipping mechanism. By using this software, the shifting characteristics of a vehicle are analyzed and compared with the experimental results.

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