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Fresnel diffraction

Ajoy Ghatak, K. Thyagarajan · Cambridge University Press eBooks · 1989

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Cited by 0

Fresnel Diffraction

Rayf Shiell, Iain McNab, Matthew Romerein · Cambridge University Press eBooks · 2024

The fourth edition of Pedrottis' Introduction to Optics is a comprehensive revision of a classic guide to the fascinating properties of light, now with new authors. Ideally suited for undergraduate optics courses in physics and electrical/electronic engineering departments, this edition adopts a distinctive phenomenological approach, bringing the underlying science to life through interactive simulations and beautifully revised figures. The modular structure and succinct style of previous editions has been maintained, while the content has been modernized, new topics have been added, and a greater consistency of terminology attained. For even more effective learning, a recurring theme of student engagement runs throughout the text, supported by a multifaceted pedagogical package that reinforces key concepts, develops a clear understanding of optical technologies and applications, and connects to students' experiences and observations from everyday life.

Cited by 0

Fresnel Diffraction

Joseph W. Goodman · SPIE eBooks · 2024

In this chapter, we explore approximations to the transfer function and point-spread function of free-space propagation in order to find analytical forms that are amenable to symbolic results. We explore an approximation to the transfer function first, then an approximation to the point-spread function. We then show that the two approximations are in fact the same. Again, a more detailed discussion of the background can be found in Ref. [4].

Cited by 0

Fresnel Diffraction

B. D. Guenther · Oxford University Press eBooks · 2019

Fresnel diffraction is discussed in terms of a description of waves traveling near the stationary point. That is the point that lies on a line connecting the source and the observation point. We discuss a rectangular aperture using Fresnel integrals or graphicly using the Cornu Spiral We discuss a circular aperture in terms of Fresnel zones and we develop a simple formula for the calculation of the radius of a Fresnel zone. Using the concept of Fresnel zones we develop an expalination of Fermat’s Principle and explain the origin of Poisson’t spot. The Fresnel zones generate an understanding of the operation of the pinhole camera.

Cited by 0

Fresnel Diffraction

Daniel A. Smith · Society of Photo-Optical Instrumentation Engineers eBooks · 2013

Cited by 0

Fresnel diffraction lithography

Zhongjun Jiang, Wei He, Jing-Wei Chen et al. · Acta Physica Sinica · 2022

Lithography plays a vital important role in modern information technologies. Patterning on a nanoscale in a handy way is highly desired for both scientific and industrial purposes. In this work, we propose a convenient nanolithography method based on Fresnel diffraction patterns. We start with the explanation of the “dense-inside-sparse-outside” Fresnel diffraction fringes resulting from the apertures of finite extent, by using the fast Fourier transform algorithm through appropriately choosing the number of uniformly spaced samples. Moderately focusing the diffraction patterns via high-numerical-aperture objectives ( the method is termed the “Fresnel diffraction lithography”), the rotationally symmetric patterns with a minimum feature size of ~190 nm, and the scanning lines with a width of ~350 nm are realized, respectively, The calculation using vectorial diffraction theory suggests a better resolution when perfectly focused. This method shows good tolerance to defocus and does not require complex lens combinations or micro/nano-diffraction optical elements, Therefore, this method can find some applications in widespread areas, e.g. functional metasurfaces, as a novel and low-cost nano-patterning technology with sub-wavelength resolution and high flexibility.

Cited by 2Open access

Fresnel Diffraction Applet

<vcard>BEGIN:vCard\VERSION:3.0\FN:Paul Falstad\TITLE:\ADR;TYPE=WORK,POSTAL,PARCEL:;;;;Santa Barbara;CA;;US\TEL;TYPE=:+\TEL;TYPE=:+\TEL;TYPE=FAX:+\EMAIL;TYPE=INTERNET,Personal:java@falstad.com\EMAIL;TYPE=INTERNET,:\END:vCard</vcard> · The Physics Video Demonstration Database (Cornell University)

Cited by 0

Fresnel Diffraction in Vacuum

Jason D. Schmidt · SPIE eBooks · 2010

The goal of this chapter is to develop methods for modeling near-field optical-wave propagation with high delity and some flexibility, which is considerably more challenging than for far-field propagation. This chapter uses the same coordinate convention as in Fig. 1.2. It begins with a discussion of different forms of the Fresnel diffraction integral. These different forms can be numerically evaluated in different ways, each with benefits and drawbacks. Then, to emphasize the different mathematical operations in the notation, operators are introduced that are used throughout Chs. 6-8. The rest of this chapter develops basic algorithms for wave propagation in vacuum and other simulation details. The quadratic phase factor inside the Fresnel diffraction integral is not bandlimited, so it poses some challenges related to sampling. There are two different ways to evaluate the integral: as a single FT or as a convolution. This chapter develops both basic methods as well as more sophisticated versions that provide some flexibility. There are different types of flexibility that one might need. For example, Delen and Hooker present a method that is particularly useful for simulating propagation in integrated optical components. Because the interfaces in these components are often slanted or offset and the angles are not always paraxial, they developed a Rayleigh-Summerfeld propagation method that can handle propagation between arbitrarily oriented planes with good accuracy.<sup>28,29</sup> In contrast, the applications discussed in this book involve parallel source and observation planes, and the paraxial approximation is a very good one. When long propagation distances are involved, beams can spread to be much larger than their original size. Accordingly, some algorithms discussed in this chapter provide the user with the flexibility to choose the scaling between the observation- and source-plane grid spacings. Many authors have presented algorithms with this ability including Tyler and Fried,<sup>30</sup> Roberts,<sup>31</sup> Coles,<sup>32</sup> Rubio,<sup>33</sup> Deng et al.,<sup>34</sup> Coy,<sup>35</sup> Rydberg and Bengtsson,<sup>36</sup> and Voelz and Roggemann.<sup>37</sup> Most of these methods are mathematically equivalent to each other. However, one unique algorithm was presented by Coles<sup>32</sup> and later augmented by Rubio<sup>33</sup> in which a diverging spherical coordinate system was used by an angular grid with constant angular grid spacing. This was done specifically because the source was a point source, which naturally diverges spherically.

Cited by 1

Fresnel coherent diffraction tomography

C. T. Putkunz, M. A. Pfeifer, A. G. Peele et al. · Figshare · 2010

Tomographic coherent imaging requires the reconstruction of a series of two-dimensional projections of the object. We show that using the solution for the image of one projection as the starting point for the reconstruction of the next projection offers a reliable and rapid approach to the image reconstruction. The method is demonstrated on simulated and experimental data. This technique also simplifies reconstructions using data with curved incident wavefronts.

Cited by 0Open access

Fresnel diffraction supercontinuum generation

Xiaohui Ni, Wang Chun, Xiangchun Liang et al. · IEEE Journal of Selected Topics in Quantum Electronics · 2004

White supercontinuum (SC) produced from Fresnel diffraction was demonstrated in BK7 glasses using femtosecond laser pulses. For input pulse energy below the threshold for the onset of self-focusing and SC generation, an aperture was placed into the beam before the BK7 glass to redistribute the intensity by diffraction along the propagation axis to produce a stable SC. The SC occurred at various distances from the aperture containing odd number of Fresnel zones, mainly the first. This result plays an important role in studying the properties of SC sources as well as the diffraction field distribution. A distinct and stable interference ring pattern inside the conical four-photon emission is observed and attributed to the spatial arrangement of small-scale filaments at different distances in the glass.

Cited by 20

Fresnel coherent diffraction tomography

Corey T. Putkunz, M. A. Pfeifer, Andrew G. Peele et al. · Optics Express · 2010

Tomographic coherent imaging requires the reconstruction of a series of two-dimensional projections of the object. We show that using the solution for the image of one projection as the starting point for the reconstruction of the next projection offers a reliable and rapid approach to the image reconstruction. The method is demonstrated on simulated and experimental data. This technique also simplifies reconstructions using data with curved incident wavefronts.

Cited by 24Open access