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Efficient high-order accurate Fresnel diffraction via areal quadrature and the nonuniform FFT [article]

Alex H. Barnett
<span title="2020-12-16">2020</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>

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<span title="2020-10-12">2020</span> <span class="release-stage" >pre-print</span> <span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2010.05978v1">arXiv:2010.05978v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/wfb5n6tlhrhvllnaauvemryoce">fatcat:wfb5n6tlhrhvllnaauvemryoce</a> </span>
It uses a high-order areal quadrature over the aperture, then exploits a single 2D nonuniform fast Fourier transform (NUFFT) to evaluate rapidly at target points (of order 10^7 such points per second,  ...  We present a fast algorithm for computing the diffracted field from arbitrary binary (sharp-edged) planar apertures and occulters in the scalar Fresnel approximation, for up to moderately high Fresnel  ...  Acknowledgments This work benefited from discussions with David Spergel, Robert Vanderbei, Stuart Shaklan, and Eric Cady. The Flatiron Institute is a division of the Simons Foundation.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2010.05978v2">arXiv:2010.05978v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/emr2mquvbbdbzjueo4dttapay4">fatcat:emr2mquvbbdbzjueo4dttapay4</a> </span>
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Citation

Alex H. Barnett. "Efficient high-order accurate Fresnel diffraction via areal quadrature and the nonuniform FFT." arXiv (2020)

Efficient high-order accurate Fresnel diffraction via areal quadrature and the nonuniform fast Fourier transform

Alex H. Barnett
<span title="2021-01-11">2021</span> <i title="SPIE-Intl Soc Optical Eng"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/kbcggowmnfbq3kkd5ainageavi" style="color: black;">Journal of Astronomical Telescopes Instruments and Systems</a> </i> &nbsp;

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It uses a high-order areal quadrature over the aperture and then exploits a single 2D nonuniform fast Fourier transform to evaluate rapidly at target points (on the order of 10 7 such points per second  ...  We present a fast algorithm for computing the diffracted field from arbitrary binary (sharp-edged) planar apertures and occulters in the scalar Fresnel approximation for up to moderately high Fresnel numbers  ...  Acknowledgments This work benefited from the input of the anonymous reviewers and discussions with David Spergel, Robert Vanderbei, Stuart Shaklan, and Eric Cady.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1117/1.jatis.7.2.021211">doi:10.1117/1.jatis.7.2.021211</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/tpt3kdxwvzbndkeq3w3n5ans4i">fatcat:tpt3kdxwvzbndkeq3w3n5ans4i</a> </span>
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Citation

Alex H. Barnett. "Efficient high-order accurate Fresnel diffraction via areal quadrature and the nonuniform fast Fourier transform." Journal of Astronomical Telescopes Instruments and Systems (2021)

Treatment of early and late reflections in a hybrid computer model for room acoustics

Graham Naylor
<span title="">1992</span> <i title="Acoustical Society of America (ASA)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/hwn3tbm3t5cpnjcflcmmwnprc4" style="color: black;">Journal of the Acoustical Society of America</a> </i> &nbsp;

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In all cases, the waveforms are reasonably well predicted by a simple and efficient convolution technique.  ...  the excitation signal to the transducer, the transducer characteristics, and the diffraction of the sound for the purpose of flaw sizing.  ...  A more efficient computational procedure has been developed that exploits the field phase as predicted by high-frequency asymptotic analysis (i.e., the geometrical theory of diffraction, or GTD).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1121/1.404930">doi:10.1121/1.404930</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xeehcxepjvhuzmnaeudpqxtnvu">fatcat:xeehcxepjvhuzmnaeudpqxtnvu</a> </span>
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Citation

Graham Naylor. "Treatment of early and late reflections in a hybrid computer model for room acoustics." Journal of the Acoustical Society of America 92.4 (1992) 2345-2345

Predicting room acoustical behavior with the ODEON computer model

Graham Naylor, Jens Holger Rindel
<span title="">1992</span> <i title="Acoustical Society of America (ASA)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/hwn3tbm3t5cpnjcflcmmwnprc4" style="color: black;">Journal of the Acoustical Society of America</a> </i> &nbsp;

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In all cases, the waveforms are reasonably well predicted by a simple and efficient convolution technique.  ...  the excitation signal to the transducer, the transducer characteristics, and the diffraction of the sound for the purpose of flaw sizing.  ...  A more efficient computational procedure has been developed that exploits the field phase as predicted by high-frequency asymptotic analysis (i.e., the geometrical theory of diffraction, or GTD).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1121/1.404931">doi:10.1121/1.404931</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/z4hbezklfzgu7hyy7qvos3wyo4">fatcat:z4hbezklfzgu7hyy7qvos3wyo4</a> </span>
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Citation

Graham Naylor, Jens Holger Rindel. "Predicting room acoustical behavior with the ODEON computer model." Journal of the Acoustical Society of America 92.4 (1992) 2346-2346

Modeling and experiments with low‐frequency pressure wave propagation in liquid‐filled, flexible tubes

Cato Bjelland, Leif Bjo/rno/
<span title="">1992</span> <i title="Acoustical Society of America (ASA)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/hwn3tbm3t5cpnjcflcmmwnprc4" style="color: black;">Journal of the Acoustical Society of America</a> </i> &nbsp;

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In all cases, the waveforms are reasonably well predicted by a simple and efficient convolution technique.  ...  the excitation signal to the transducer, the transducer characteristics, and the diffraction of the sound for the purpose of flaw sizing.  ...  A more efficient computational procedure has been developed that exploits the field phase as predicted by high-frequency asymptotic analysis (i.e., the geometrical theory of diffraction, or GTD).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1121/1.404777">doi:10.1121/1.404777</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xhmwz65h5bbqxbt52khae2rq7q">fatcat:xhmwz65h5bbqxbt52khae2rq7q</a> </span>
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Citation

Cato Bjelland, Leif Bjo/rno/. "Modeling and experiments with low‐frequency pressure wave propagation in liquid‐filled, flexible tubes." Journal of the Acoustical Society of America 92.4 (1992) 2388-2388

Discrimination of short speech‐like formant transitions

Astrid van Wieringen, Louis C. W. Pols
<span title="">1992</span> <i title="Acoustical Society of America (ASA)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/hwn3tbm3t5cpnjcflcmmwnprc4" style="color: black;">Journal of the Acoustical Society of America</a> </i> &nbsp;

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In all cases, the waveforms are reasonably well predicted by a simple and efficient convolution technique.  ...  the excitation signal to the transducer, the transducer characteristics, and the diffraction of the sound for the purpose of flaw sizing.  ...  A more efficient computational procedure has been developed that exploits the field phase as predicted by high-frequency asymptotic analysis (i.e., the geometrical theory of diffraction, or GTD). (1) Irrelevant  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1121/1.405128">doi:10.1121/1.405128</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/dbtewzqvijhkta6op7ul3ribti">fatcat:dbtewzqvijhkta6op7ul3ribti</a> </span>
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Citation

Astrid van Wieringen, Louis C. W. Pols. "Discrimination of short speech‐like formant transitions." Journal of the Acoustical Society of America 92.4 (1992) 2298-2298