• Title/Summary/Keyword: fourier hologram

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The Conditions of a Holographic Homogenizer to Optimize the Intensity Uniformity (주기적인 홀로그램을 이용한 레이저 광 세기 균일화기에서 균일도를 최적화하기 위한 홀로그램의 조건)

  • Go, Chun-Soo;Oh, Yong-Ho;Lim, Sung-Woo
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.24 no.7
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    • pp.578-583
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    • 2011
  • We report on the design of a holographic homogenizer composed of a periodic hologram and a condensing lens. If the hologram is periodic, the homogenizer is free from the alignment error of the incident laser beam. Holographic homogenizer also has an advantage of the flexibility in the size of the target beam. We calculated theoretically the Fraunhofer diffracted wave function when a rectangular laser beam is incident on a periodic hologram. The diffracted wave is the sum of sinc functions at regular distance. The width of each sinc function depends on the size of the incident laser beam and the distance between the sinc functions depends on the period of the hologram. We calculated numerically the diffracted light intensity for various ratios of the size of the incident laser beam to the period of the hologram. The results show that it is possible to make the diffracted beam uniform at a certain value of the ratio. The uniformity is high at the central part of the target area and low near the edge. The more sinc functions are included in the target area, the larger portion of the area becomes uniform and the higher is the uniformity at the central part. Therefore, we can make efficient homogenizer if we design a hologram so that the maximum number of the diffracted beams may be included in the target area.

Extremely High-Definition Computer Generated Hologram Calculation Algorithm with Concave Lens Function (오목 렌즈 함수를 이용한 초 고해상도 Computer generated hologram 생성 기법)

  • Lee, Chang-Joo;Choi, Woo-Young;Oh, Kwan-Jung;Hong, Keehoon;Choi, Kihong;Cheon, Sang-Hoon;Park, Joongki;Lee, Seung-Yeol
    • Journal of Broadcast Engineering
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    • v.25 no.6
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    • pp.836-844
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    • 2020
  • A very large number of pixels is required to generate a computer generated hologram (CGH) with a large-size and wide viewing angle equivalent to that of an analog hologram, which incurs a very large amount of computation. For this reason, a high-performance computing device and long computation time were required to generate high-definition CGH. To solve these problems, in this paper, we propose a technique for generating high-definition CGH by arraying the pre-calculated low-definition CGH and multiplying the appropriately-shifted concave lens function. Using the proposed technique, 0.1 Gigapixel CGH recorded by the point cloud method can be used to calculate 2.5 Gigapixels CGH at a very high speed, and the recorded hologram image was successfully reconstructed through the experiment.

Design of diffractive pattern elements using two-stage iterative Fourier transform algorithm (2 단계 iterative Fourier transform 알고리즘을 이용한 회절 무늬 소자의 설계에 관한 연구)

  • 정필호;조두진
    • Proceedings of the Optical Society of Korea Conference
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    • 2000.02a
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    • pp.296-297
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    • 2000
  • 프라운호퍼 회절에 의하여 주어진 세기 무늬를 발생시키는 회절광학소자(Diffractive Optical Element, DOE)는 회절무늬소자, 키노폼(kinoform), 컴퓨터 푸리에 홀로그램 (computer-generated Fourier hologram) 등으로 불리우며, 광정보처리, 광연결, 레이저가공에서 중요한 역할을 한다. 이 소자를 설계하는 매우 다양한 방법들이 제안되었는데, iterative Fourier transform 알고리즘(IFTA)과 이를 변형한 알고리즘들이 가장 널리 사용된다. IFTA는 fast Fourier transform(FFT)를 활용하므로 계산시간이 절감되지만 국소 최소점에 고착되는 stagnation문제가 있어 이를 해결하기 위한 많은 변형된 알고리즘들이 제안되었다. 본 연구에서는 최근에 제안한 new Pnoise algorithm with hybrid input-output algorithm(NPA-HIOA)$^{(1)}$ 의 설계 성능을 IFTA, hybrid input-output 알고리즘(HIOA), new Pnoise 알고리즘(NPA)$^{(2)}$ , Nonlinear Least-Square (NLS)$^{(3)}$ 등의 기존의 알고리즘들과 비교하고자 한다. (중략)

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Error Analysis for Optical Security by means of 4-Step Phase-Shifting Digital Holography

  • Lee, Hyun-Jin;Gil, Sang-Keun
    • Journal of the Optical Society of Korea
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    • v.10 no.3
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    • pp.118-123
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    • 2006
  • We present an optical security method for binary data information by using 4-step phase-shifting digital holography and we analyze tolerance error for the decrypted data. 4-step phase-shifting digital holograms are acquired by moving the PZT mirror with equidistant phase steps of ${\pi}/2$ in the Mach-Zender type interferometer. The digital hologram in this method is a Fourier transform hologram and is quantized with 256 gray level. The decryption performance of the binary data information is analyzed. One of the most important errors is the quantization error in detecting the hologram intensity on CCD. The greater the number of quantization error pixels and the variation of gray level increase, the more the number of error bits increases for decryption. Computer experiments show the results for encryption and decryption with the proposed method and show the graph to analyze the tolerance of the quantization error in the system.

Digital Watermarking using Of-axis Hologram (비축 홀로그램을 이용한 디지털 워터마킹)

  • 김규태;김종원;김수길;최종욱
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.41 no.3
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    • pp.183-194
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    • 2004
  • We propose a now watermarking scheme that can be used to embed multiple bits and also resilient to geometrical transforms such as scaling, rotation, and cropping, based on off - axis holographic watermark that allows multiple watermark recovery without original content(cover image). The holographic watermark is that Fourier transformed digital hologram is embedded into cover image in the spatial domain. The proposed method has not only increased robustness with a stronger embedding but also imprescriptibility of the watermark in the evaluation process. To compare with the convention기 scheme, the spread spectrum, we embedded and recovered maximum 1,024 bits that consist of binary number over PSNR(peak signal-to-noise ratio) 39dB. And also, we computed robustness with BER(bit error rate) corresponding the above attack

Extraction of a Distance Parameter in Optical Scanning Holography Using Axis Transformation

  • Kim, Tae-Geun;Kim, You-Seok
    • Journal of the Optical Society of Korea
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    • v.14 no.2
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    • pp.104-108
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    • 2010
  • We proposed an axis transformation technique which reveals a distance parameter directly from optical scanning holography (OSH). After synthesis of a real-only spectrum hologram and power fringe adjusted filtering, we transform an original frequency axis to a new frequency axis using interpolation. In the new frequency axis, the filtered hologram has a single frequency which is linearly proportional to the distance parameter. Thus, the inverse Fourier transformation of the filtered hologram gives a delta function pair in the new spatial axis. Finally, we extract the distance parameter by detecting the location of the delta function pair.

2-step Phase-shifting Digital Holographic Optical Encryption and Error Analysis

  • Jeon, Seok-Hee;Gil, Sang-Keun
    • Journal of the Optical Society of Korea
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    • v.15 no.3
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    • pp.244-251
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    • 2011
  • We propose a new 2-step phase-shifting digital holographic optical encryption technique and analyze tolerance error for this cipher system. 2-step phase-shifting digital holograms are acquired by moving the PZT mirror with phase step of 0 or ${\pi}$/2 in the reference beam path of the Mach-Zehnder type interferometer. Digital hologram with the encrypted information is Fourier transform hologram and is recorded on CCD camera with 256 gray-level quantized intensities. The decryption performance of binary bit data and image data is analyzed by considering error factors. One of the most important errors is quantization error in detecting the digital hologram intensity on CCD. The more the number of quantization error pixels and the variation of gray-level increase, the more the number of error bits increases for decryption. Computer experiments show the results to be carried out encryption and decryption with the proposed method and the graph to analyze the tolerance of the quantization error in the system.

Fresnel computer-generated holograms for 3-D display of Real objects

  • Yatagai, Toyohiko;Sando, Yusuke;Itoh, Masahide
    • 한국정보디스플레이학회:학술대회논문집
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    • 2003.07a
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    • pp.437-440
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    • 2003
  • Computer-generated holograms of real existing are synthesized by using a series of projection images of an incoherently illuminated object. The principle of computer tomography is applied to obtain the 3-D Fourier spectrum of the object. A Fresnel hologram is calculated directly from the 3-D Fourier spectrum. Experimental results with simulation are presented and some optical properties of reconstructed images are discussed.

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A study on the Variable Elimination of the 0-th order Diffraction Using the Fourier Transform in the Digital Holography Microscope System

  • Choi, Kyu-Hwan;Kim, Sung-Kyu
    • 한국정보디스플레이학회:학술대회논문집
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    • 2009.10a
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    • pp.1357-1360
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    • 2009
  • In this study, the 0-th order diffraction could be efficiently removed with the obtained data for one hologram using the numerical reconstruction method. This method has a reduced data acquisition and processing time compared with the existing method wherein the data for two or more phase holograms are obtained for regeneration, and efficiently eliminates the 0-th order diffraction.

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An Improvement of Image Encryption using Binary Phase Computer Generated Hologram and Multi XOR Operations (이진위상 컴퓨터형성홀로그램과 다중 XOR 연산을 이용한 영상 암호화의 개선)

  • Kim, Cheol-Su
    • Journal of Korea Society of Industrial Information Systems
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    • v.13 no.3
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    • pp.110-116
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    • 2008
  • In this paper, we proposed an improvement technique of image encryption using binary phase computer generated hologram(BPCGH) and multi exclusive-OR(XOR) operations. For the encryption process, a BPCGH that reconstructs the original image is designed, using an iterative algorithm, and the resulting hologram is regarded as the image to be encrypted. The BPCGH is encrypted through the exclusive-OR operation with the random generated phase key image. Then the encrypted image is divided into several slide images using XOR operations. So, the performance of encryption for the image is improved. For the decryption process, we cascade the encrypted slide images and phase key image and interfere with reference wave. Then decrypted hologram image is transformed into phase information. Finally, the original image is recovered by an inverse Fourier transformation of the phase information. If the slide images are changed, we can get various decrypted BPCGH images. In the proposed security system, without a random generated key image, the original image can not be recovered. And we recover another hologram pattern according to the slide images, so it can be used in the differentiated authorization system.

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