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Proceedings ArticleDOI

Space bandwidth product analysis of digital holography and image reconstruction process

01 Mar 2017-pp 194-197
TL;DR: In this article, the authors deal with the analysis of two essential parameters i.e. image resolution and field of view of both systems and demonstrate that the maximum spatial frequency that captured by the CCD depends on object size and pixel pitch of CCD camera when distance between object plane to hologram plane is kept constant.
Abstract: Space Bandwidth Product (SBP) is a process by which the imaging capacity of an optical is measured. The space bandwidth product analysis for inline and off-axis digital holography process is studied. This paper deals the analysis of two essential parameters i.e. image resolution and field of view of both systems. By this demonstration the maximum spatial frequency that captured by the CCD depends on object size and pixel pitch of CCD camera when distance between object plane to hologram plane is kept constant.
Citations
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Journal ArticleDOI
TL;DR: A reciprocal 360-deg three-dimensional light-field image acquisition and display system was designed using a common catadioptric optical configuration and a lens array and showed quality measures such as angular resolution and space bandwidth product based on design parameters.
Abstract: A reciprocal 360-deg three-dimensional light-field image acquisition and display system was designed using a common catadioptric optical configuration and a lens array. Proof-of-concept experimental setups were constructed with a full capturing part and a truncated display section to demonstrate that the proposed design works without loss of generality. Unlike conventional setups, which record and display rectangular volumes, the proposed configuration records 3D images from its surrounding spherical volume in the capture mode and projects 3D images to the same spherical volume in the display mode. This is particularly advantageous in comparison to other 360-deg multi-camera and multiple projector display systems that require extensive image and physical calibration. We analyzed the system and showed quality measures such as angular resolution and space bandwidth product based on design parameters. The issue due to pixel size difference between the available imaging sensor and the display was also addressed. A diffractive microlens array matching the sensor size was used in the acquisition part, whereas a vacuum cast lens array matching the display size was used in the display part with scaled optics. The experimental results demonstrate the proposed system design works well and is in good agreement with the simulation results.

7 citations

Proceedings ArticleDOI
01 Nov 2019
TL;DR: In this article, an algorithm for automatic diffracted order detection and location of a digital multiplexed off-axis hologram is described, which is integrated as an automatic filtering procedure.
Abstract: We describe in this paper, an algorithm for automatic diffracted order(s) detection and location of a digital multiplexed off-axis hologram. In noiseless composite holograms, the centroid of each diffracted order corresponds to one of these maximum values of power spectra, but in real situation, this schema is not reproduced. The adequate suppression of the zero order as the preliminary step has for effect to suppress the maximum values corresponding to this term, and also to drastically enhance the power spectra of the diffracted orders and thus improve their detection. The proposed method is integrated as an automatic filtering procedure. We demonstrate from the experimental multiplexed microparticules holograms the effectiveness of the proposed method to discriminate between different diffracted orders and to give the exact location of highest value representing the diffracted order of interest.

1 citations

References
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Journal ArticleDOI
TL;DR: The second edition of this respected text considerably expands the original and reflects the tremendous advances made in the discipline since 1968 as discussed by the authors, with a special emphasis on applications to diffraction, imaging, optical data processing, and holography.
Abstract: The second edition of this respected text considerably expands the original and reflects the tremendous advances made in the discipline since 1968. All material has been thoroughly updated and several new sections explore recent progress in important areas, such as wavelength modulation, analog information processing, and holography. Fourier analysis is a ubiquitous tool with applications in diverse areas of physics and engineering. This book explores these applications in the field of optics with a special emphasis on applications to diffraction, imaging, optical data processing, and holography. This book can be used as a textbook to satisfy the needs of several different types of courses, and it is directed toward both engineers ad physicists. By varying the emphasis on different topics and specific applications, the book can be used successfully in a wide range of basic Fourier Optics or Optical Signal Processing courses.

12,159 citations

Journal ArticleDOI
TL;DR: The principles and major applications of digital recording and numerical reconstruction of holograms (digital holography) are described, which are applied to measure shape and surface deformation of opaque bodies and refractive index fields within transparent media.
Abstract: This article describes the principles and major applications of digital recording and numerical reconstruction of holograms (digital holography). Digital holography became feasible since charged coupled devices (CCDs) with suitable numbers and sizes of pixels and computers with sufficient speed became available. The Fresnel or Fourier holograms are recorded directly by the CCD and stored digitally. No film material involving wet-chemical or other processing is necessary. The reconstruction of the wavefield, which is done optically by illumination of a hologram, is performed by numerical methods. The numerical reconstruction process is based on the Fresnel–Kirchhoff integral, which describes the diffraction of the reconstructing wave at the micro-structure of the hologram. In the numerical reconstruction process not only the intensity, but also the phase distribution of the stored wavefield can be computed from the digital hologram. This offers new possibilities for a variety of applications. Digital holography is applied to measure shape and surface deformation of opaque bodies and refractive index fields within transparent media. Further applications are imaging and microscopy, where it is advantageous to refocus the area under investigation by numerical methods.

1,171 citations


"Space bandwidth product analysis of..." refers background in this paper

  • ...Lohmann investigated three different holographic setups with respect to Space Bandwidth Product (SBP) in recording systems [1-2]....

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Journal ArticleDOI
TL;DR: Three-dimensional holograms of transparencies produced in diffused light are of a quality comparable to pictures produced by conventional photography with incoherent light and have all the visual properties of the original scene.
Abstract: Holograms of transparencies have been produced in diffused light. The reconstructions are free from flaws and are of a quality comparable to pictures produced by conventional photography with incoherent light. Holograms of three-dimensional scenes have been produced by reflected light. Such holograms produce three-dimensional reconstructions having all the visual properties of the original scene: parallax between near and distant objects, a requirement to refocus the eyes when viewing objects in different parts of the scene, and a stereo effect equal to that of ordinary stereo photography.

750 citations

Book
27 Dec 2004
TL;DR: In this paper, the Fourier Transform is used for the reconstruction of digital Holograms, and the convolutional approach is used to reconstruct the Holographic Histogram.
Abstract: Preface.1 Introduction.1.1 Scope of the Book.1.2 Historical Developments.1.3 Holographic Interferometry as a Measurement Tool.2 Optical Foundations of Holography.2.1 Light Waves.2.2 Interference of Light.2.3 Coherence.2.4 Scalar Diffraction Theory.2.5 Speckles.2.6 Holographic Recording and Optical Reconstruction.2.7 Elements of the Holographic Setup.2.8 CCD- and CMOS-Arrays.3 Digital Recording and Numerical Reconstruction of Wave Fields.3.1 Digital Recording of Holograms.3.2 Numerical Reconstruction by the Fresnel Transform.3.3 Numerical Reconstruction by the Convolution Approach.3.4 Further Numerical Reconstruction Methods.3.5 Wave-Optics Analysis of Digital Holography.3.6 Non-Interferometric Applications of Digital Holography.4 Holographic Interferometry.4.1 Generation of Holographic Interference Patterns.4.2 Variations of the Sensitivity Vectors.4.3 Fringe Localization.4.4 Holographic Interferometric Measurements.5 Quantitative Determination of the Interference Phase.5.1 Roleof Interference Phase.5.2 Disturbances of Holographic Interferograms.5.3 Fringe Skeletonizing.5.4 Temporal Heterodyning.5.5 Phase Sampling Evaluation.5.6 Fourier Transform Evaluation.5.7 Dynamic Evaluation.5.8 Digital Holographic Interferometry.5.9 Interference Phase Demodulation.6 Processing of the Interference Phase.6.1 Displacement Determination.6.2 TheSensitivity Matrix.6.3 Holographic Strain and Stress Analysis.6.4 Hybrid Methods.6.5 Vibration Analysis.6.6 Holographic Contouring.6.7 Contour Measurement by Digital Holography.6.8 Comparative Holographic Interferometry.6.9 Measurement Range Extension.6.10 Refractive Index Fields in Transparent Media.6.11 Defect Detection by Holographic Non-Destructive Testing.7 Speckle Metrology.7.1 Speckle Photography.7.2 Electronic and Digital Speckle Interferometry.7.3 Electro-optic Holography.7.4 Speckle Shearography.Appendix.A Signal Processing Fundamentals.A.1 Overview.A.2 Definition of the Fourier Transform.A.3 Interpretation of the Fourier Transform.A.4 Properties of the Fourier Transform.A.5 Linear Systems.A.6 Fourier Analysis of Sampled Functions.A.7 The Sampling Theorem and Data Truncation Effects.A.8 Interpolation and Resampling.A.9 Two-Dimensional Image Processing.A.10 The Fast Fourier Transform.A.11 Fast Fourier Transform for N!= 2n.A.12 Cosine and Hartley Transform.A.13 The Chirp Function and the Fresnel Transform.B Computer Aided Tomography.B.1 Mathematical Preliminaries.B.2 The Generalized Projection Theorem.B.3 Reconstruction by Filtered Backprojection.B.4 Practical Implementation of Filtered Backprojection .B.5 Algebraic Reconstruction Techniques.C Bessel FunctionsBibliographyAuthor IndexSubject Index.

539 citations

Journal ArticleDOI
TL;DR: A quasi-geometrical representation of the space–bandwidth product in the Wigner domain is claimed to be more useful than a pure number that counts the degrees of freedom of the system.
Abstract: The space–bandwidth product (SW) is fundamental for judging the performance of an optical system. Often the SW of a system is defined only as a pure number that counts the degrees of freedom of the system. We claim that a quasi-geometrical representation of the SW in the Wigner domain is more useful. We also represent the input signal as a SW in the Wigner domain. For perfect signal processing it is necessary that the system SW fully embrace the signal SW.

391 citations


Additional excerpts

  • ...The interference pattern obtained in inline recording system can be described as [7] (2) Where and correspond to the amplitude of reference wave and object wave and is spatial frequency of the object respectively....

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