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Author: search.filters.author.Chern, Jyh-LongSubject: search.filters.subject.Diffraction

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Now showing 1 - 3 of 3
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    Item type:Item,
    Symmetry property of a generalized Billet's N-split lens
    (2010-10-01)
    Cheng, Chieh-Jen
    ;
    Chern, Jyh-Long
    ;
    光電工程學系
    ;
    Department of Photonics
    This study examines the diffraction properties of a generalized split N-sector lens originating from Billet's split bi-sector lens. The intensity distributions vary dramatically as the number of split sectors increases, and especially compared with those of the classical Billet's split lens. Nevertheless, the type of lens splitting selected causes the interference pattern of equidistant straight lines in the original Billet's lens to form an N-fold angularly distributed pattern with an angle difference of 2 pi/N. For an odd number of splitting N, there is an additional angle shift of pi/N for the azimuthally distributed patterns of equidistant straight lines. In other words, there are two kinds of symmetry even for simple splitting operations. On the other hand, the peak intensity distribution in the central portion resembles a concentric-circle-like pattern, when N is large as a result of N-beam interference. (C) 2010 Elsevier B.V. All rights reserved.
  • Thumbnail Image
    Item type:Item,
    Symmetry property of a generalized Billet's N-split lens
    (2010-10-01)
    Cheng, Chieh-Jen
    ;
    Chern, Jyh-Long
    ;
    光電工程學系
    ;
    Department of Photonics
    This study examines the diffraction properties of a generalized split N-sector lens originating from Billet's split bi-sector lens. The intensity distributions vary dramatically as the number of split sectors increases, and especially compared with those of the classical Billet's split lens. Nevertheless, the type of lens splitting selected causes the interference pattern of equidistant straight lines in the original Billet's lens to form an N-fold angularly distributed pattern with an angle difference of 2 pi/N. For an odd number of splitting N, there is an additional angle shift of pi/N for the azimuthally distributed patterns of equidistant straight lines. In other words, there are two kinds of symmetry even for simple splitting operations. On the other hand, the peak intensity distribution in the central portion resembles a concentric-circle-like pattern, when N is large as a result of N-beam interference. (C) 2010 Elsevier B.V. All rights reserved.
  • Thumbnail Image
    Item type:Item,
    Quasi Bessel beam by Billet's N-split lens
    (2010-12-15)
    Cheng, Chieh-Jen
    ;
    Chern, Jyh-Long
    ;
    光電工程學系
    ;
    Department of Photonics
    This study utilizes the focal property of a classical Billets split lens to create more focal points by splitting the lens This approach distributes the focal points circularly on the focal plane This study explores the characteristics of beam propagation and analytically derives the asymptotic characteristics of beam propagation based on the stationary phase approximation and the moment-free Filon-type method Results show that the unique Billets N-split lens can generate a quasi Bessel beam if the number of splitting N is large enough e g N >= 24 This study also explores the diffraction efficiency of corresponding quasi Bessel beam and the influence of aperture size The potential advantage of proposed split lens approach is that unlike the classical means of annular aperture this simple lens approach allows a much larger throughput in creating the Bessel beam and hence the Bessel beam could have more optical energy (C) 2010 Elsevier B V All rights reserved