Improvement of Fresnel Diffraction Convolution Algorithm
With the development of digital holography, the accuracy requirements for the reconstruction phase are becoming increasingly high. The transfer function of the double fast transform (D-FFT) algorithm is distorted when the diffraction distance is larger than the criterion distance dt, which reduces t...
Gespeichert in:
| Veröffentlicht in: | Applied sciences Jg. 14; H. 9; S. 3632 |
|---|---|
| Hauptverfasser: | , , , , , , , |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Basel
MDPI AG
01.05.2024
|
| Schlagworte: | |
| ISSN: | 2076-3417, 2076-3417 |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Abstract | With the development of digital holography, the accuracy requirements for the reconstruction phase are becoming increasingly high. The transfer function of the double fast transform (D-FFT) algorithm is distorted when the diffraction distance is larger than the criterion distance dt, which reduces the accuracy of solving the phase. In this paper, the Fresnel diffraction integration algorithm is improved by using the low-pass Tukey window to obtain more accurate reconstructed phases. The improved algorithm is called the D-FFT (Tukey) algorithm. The D-FFT (Tukey) algorithm adjusts the degree of edge smoothing of the Tukey window, using the peak signal-to-noise ratio (PSNR) and the structural similarity (SSIM) to remove the ringing effect and obtain a more accurate reconstructed phase. In a simulation of USAF1951, the longitudinal resolution of the reconstructed phase obtained by D-FFT (Tukey) reached 1.5 μm, which was lower than the 3 μm obtained by the T-FFT algorithm. The results of Fresnel holography experiments on lung cancer cell slices also demonstrated that the phase quality obtained by the D-FFT (Tukey) algorithm was superior to that of the T-FFT algorithm. D-FFT (Tukey) algorithm has potential applications in phase correction, structured illumination digital holographic microscopy, and microscopic digital holography. |
|---|---|
| AbstractList | With the development of digital holography, the accuracy requirements for the reconstruction phase are becoming increasingly high. The transfer function of the double fast transform (D-FFT) algorithm is distorted when the diffraction distance is larger than the criterion distance dt, which reduces the accuracy of solving the phase. In this paper, the Fresnel diffraction integration algorithm is improved by using the low-pass Tukey window to obtain more accurate reconstructed phases. The improved algorithm is called the D-FFT (Tukey) algorithm. The D-FFT (Tukey) algorithm adjusts the degree of edge smoothing of the Tukey window, using the peak signal-to-noise ratio (PSNR) and the structural similarity (SSIM) to remove the ringing effect and obtain a more accurate reconstructed phase. In a simulation of USAF1951, the longitudinal resolution of the reconstructed phase obtained by D-FFT (Tukey) reached 1.5 μm, which was lower than the 3 μm obtained by the T-FFT algorithm. The results of Fresnel holography experiments on lung cancer cell slices also demonstrated that the phase quality obtained by the D-FFT (Tukey) algorithm was superior to that of the T-FFT algorithm. D-FFT (Tukey) algorithm has potential applications in phase correction, structured illumination digital holographic microscopy, and microscopic digital holography. With the development of digital holography, the accuracy requirements for the reconstruction phase are becoming increasingly high. The transfer function of the double fast transform (D-FFT) algorithm is distorted when the diffraction distance is larger than the criterion distance d t , which reduces the accuracy of solving the phase. In this paper, the Fresnel diffraction integration algorithm is improved by using the low-pass Tukey window to obtain more accurate reconstructed phases. The improved algorithm is called the D-FFT (Tukey) algorithm. The D-FFT (Tukey) algorithm adjusts the degree of edge smoothing of the Tukey window, using the peak signal-to-noise ratio (PSNR) and the structural similarity (SSIM) to remove the ringing effect and obtain a more accurate reconstructed phase. In a simulation of USAF1951, the longitudinal resolution of the reconstructed phase obtained by D-FFT (Tukey) reached 1.5 μ m , which was lower than the 3 μ m obtained by the T-FFT algorithm. The results of Fresnel holography experiments on lung cancer cell slices also demonstrated that the phase quality obtained by the D-FFT (Tukey) algorithm was superior to that of the T-FFT algorithm. D-FFT (Tukey) algorithm has potential applications in phase correction, structured illumination digital holographic microscopy, and microscopic digital holography. With the development of digital holography, the accuracy requirements for the reconstruction phase are becoming increasingly high. The transfer function of the double fast transform (D-FFT) algorithm is distorted when the diffraction distance is larger than the criterion distance d[sub.t], which reduces the accuracy of solving the phase. In this paper, the Fresnel diffraction integration algorithm is improved by using the low-pass Tukey window to obtain more accurate reconstructed phases. The improved algorithm is called the D-FFT (Tukey) algorithm. The D-FFT (Tukey) algorithm adjusts the degree of edge smoothing of the Tukey window, using the peak signal-to-noise ratio (PSNR) and the structural similarity (SSIM) to remove the ringing effect and obtain a more accurate reconstructed phase. In a simulation of USAF1951, the longitudinal resolution of the reconstructed phase obtained by D-FFT (Tukey) reached 1.5 μm, which was lower than the 3 μm obtained by the T-FFT algorithm. The results of Fresnel holography experiments on lung cancer cell slices also demonstrated that the phase quality obtained by the D-FFT (Tukey) algorithm was superior to that of the T-FFT algorithm. D-FFT (Tukey) algorithm has potential applications in phase correction, structured illumination digital holographic microscopy, and microscopic digital holography. |
| Audience | Academic |
| Author | Li, Qian Li, Junchang Dang, Haining Ge, Cong Qian, Xiaofan Caiyang, Weinan Gui, Jinbin Song, Qinghe |
| Author_xml | – sequence: 1 givenname: Cong surname: Ge fullname: Ge, Cong – sequence: 2 givenname: Qinghe surname: Song fullname: Song, Qinghe – sequence: 3 givenname: Weinan surname: Caiyang fullname: Caiyang, Weinan – sequence: 4 givenname: Jinbin surname: Gui fullname: Gui, Jinbin – sequence: 5 givenname: Junchang surname: Li fullname: Li, Junchang – sequence: 6 givenname: Xiaofan surname: Qian fullname: Qian, Xiaofan – sequence: 7 givenname: Qian surname: Li fullname: Li, Qian – sequence: 8 givenname: Haining surname: Dang fullname: Dang, Haining |
| BookMark | eNptkUtLAzEUhYMoWGtX_oEBlzI1j5lksizVaqHgRtchk0dNmZnUZFrw35u2olWaLHK5nPMlN-cKnHe-MwDcIDgmhMN7uV6jAnJCCT4DAwwZzUmB2PlRfQlGMa5gWhyRCsEBqObtOvitaU3XZ95ms2BiZ5rswVkbpOqd77Kp77a-2ezrSbP0wfXv7TW4sLKJZvR9DsHb7PF1-pwvXp7m08kiVwVBfY61KjWuiIEltYZxyCvFsDKS0ppLUxcFZbYgEutSl5hTJCuOmKlsqXlNqSRDMD9wtZcrsQ6uleFTeOnEvuHDUsjQO9UYgRG0iugEhnWhIKktY7WyyOK6VtRUiXV7YKWRPzYm9mLlN6FLzxcElgRhyhD8VS1lgrrO-j79ROuiEhPGScko5DypxidUaWvTOpWSsS71_xjuDgYVfIzB2J9hEBS7AMVRgEmN_qmV6-UugnSNa056vgD3Kp2s |
| CitedBy_id | crossref_primary_10_3390_app14114582 |
| Cites_doi | 10.1364/OE.483528 10.1088/2040-8986/abdf68 10.1364/OL.385553 10.1016/j.optcom.2007.08.053 10.3788/CJL201946.0509001 10.1364/OE.17.019662 10.1016/j.optcom.2015.12.031 10.1364/OL.43.001143 10.1016/S0030-4018(99)00201-1 10.3788/CJL20103706.1602 10.1016/j.optlaseng.2005.04.011 10.1364/OL.27.001108 10.1364/OE.26.023572 10.1117/1.3251340 10.1016/j.micron.2023.103459 10.1364/OSAC.412732 10.1016/j.optlaseng.2022.107215 10.1364/OL.462972 |
| ContentType | Journal Article |
| Copyright | COPYRIGHT 2024 MDPI AG 2024 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
| Copyright_xml | – notice: COPYRIGHT 2024 MDPI AG – notice: 2024 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
| DBID | AAYXX CITATION ABUWG AFKRA AZQEC BENPR CCPQU DWQXO PHGZM PHGZT PIMPY PKEHL PQEST PQQKQ PQUKI PRINS DOA |
| DOI | 10.3390/app14093632 |
| DatabaseName | CrossRef ProQuest Central (Alumni) ProQuest Central UK/Ireland ProQuest Central Essentials ProQuest Central ProQuest One Community College ProQuest Central ProQuest Central Premium ProQuest One Academic Publicly Available Content Database ProQuest One Academic Middle East (New) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Academic (retired) ProQuest One Academic UKI Edition ProQuest Central China DOAJ Directory of Open Access Journals |
| DatabaseTitle | CrossRef Publicly Available Content Database ProQuest One Academic Middle East (New) ProQuest Central Essentials ProQuest One Academic Eastern Edition ProQuest Central (Alumni Edition) ProQuest One Community College ProQuest Central China ProQuest Central ProQuest One Academic UKI Edition ProQuest Central Korea ProQuest Central (New) ProQuest One Academic ProQuest One Academic (New) |
| DatabaseTitleList | Publicly Available Content Database CrossRef |
| Database_xml | – sequence: 1 dbid: DOA name: Directory of Open Access Journals (DOAJ) url: https://www.doaj.org/ sourceTypes: Open Website – sequence: 2 dbid: PIMPY name: ProQuest Publicly Available Content url: http://search.proquest.com/publiccontent sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering Sciences (General) |
| EISSN | 2076-3417 |
| ExternalDocumentID | oai_doaj_org_article_210fc3d6b90b4c03bf77bcf1f2bbc6e8 A793576099 10_3390_app14093632 |
| GroupedDBID | .4S 2XV 5VS 7XC 8CJ 8FE 8FG 8FH AADQD AAFWJ AAYXX ADBBV ADMLS AFFHD AFKRA AFPKN AFZYC ALMA_UNASSIGNED_HOLDINGS APEBS ARCSS BCNDV BENPR CCPQU CITATION CZ9 D1I D1J D1K GROUPED_DOAJ IAO IGS ITC K6- K6V KC. KQ8 L6V LK5 LK8 M7R MODMG M~E OK1 P62 PHGZM PHGZT PIMPY PROAC TUS ABUWG AZQEC DWQXO PKEHL PQEST PQQKQ PQUKI PRINS |
| ID | FETCH-LOGICAL-c431t-2dc5d283e056fe79098c72cea66b9aeb4467f43a2d5d52961a8917e8f5d9b66a3 |
| IEDL.DBID | PIMPY |
| ISICitedReferencesCount | 1 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=001220025500001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 2076-3417 |
| IngestDate | Tue Oct 14 19:07:05 EDT 2025 Mon Jun 30 13:32:57 EDT 2025 Tue Nov 11 11:06:09 EST 2025 Tue Nov 04 18:24:25 EST 2025 Tue Nov 18 21:23:11 EST 2025 Sat Nov 29 07:13:33 EST 2025 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 9 |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c431t-2dc5d283e056fe79098c72cea66b9aeb4467f43a2d5d52961a8917e8f5d9b66a3 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| OpenAccessLink | https://www.proquest.com/publiccontent/docview/3053126710?pq-origsite=%requestingapplication% |
| PQID | 3053126710 |
| PQPubID | 2032433 |
| ParticipantIDs | doaj_primary_oai_doaj_org_article_210fc3d6b90b4c03bf77bcf1f2bbc6e8 proquest_journals_3053126710 gale_infotracmisc_A793576099 gale_infotracacademiconefile_A793576099 crossref_primary_10_3390_app14093632 crossref_citationtrail_10_3390_app14093632 |
| PublicationCentury | 2000 |
| PublicationDate | 2024-05-01 |
| PublicationDateYYYYMMDD | 2024-05-01 |
| PublicationDate_xml | – month: 05 year: 2024 text: 2024-05-01 day: 01 |
| PublicationDecade | 2020 |
| PublicationPlace | Basel |
| PublicationPlace_xml | – name: Basel |
| PublicationTitle | Applied sciences |
| PublicationYear | 2024 |
| Publisher | MDPI AG |
| Publisher_xml | – name: MDPI AG |
| References | Yaghoubi (ref_7) 2022; 159 Mas (ref_11) 1999; 164 Atul (ref_10) 2023; 170 Zeng (ref_3) 2018; 47 Li (ref_4) 2018; 26 Kyoji (ref_21) 2009; 17 Yamaguchi (ref_12) 2002; 27 Zhang (ref_17) 2010; 37 Wang (ref_9) 2016; 366 ref_16 Lei (ref_23) 2022; 47 Zhang (ref_22) 2020; 45 Zhang (ref_19) 2021; 23 Tao (ref_8) 2023; 43 Tabata (ref_1) 2020; 3 Desse (ref_13) 2006; 44 Lai (ref_5) 2018; 43 Song (ref_6) 2019; 46 ref_25 Liu (ref_24) 2023; 31 Gao (ref_2) 2018; 38 Li (ref_14) 2009; 34 Li (ref_15) 2007; 280 Wei (ref_18) 2021; 39 Liu (ref_20) 2009; 48 |
| References_xml | – volume: 31 start-page: 10709 year: 2023 ident: ref_24 article-title: Fractional Fourier-transform filtering and reconstruction in off-axis digital holo-graphic imaging publication-title: Opt. Express doi: 10.1364/OE.483528 – volume: 23 start-page: 035604 year: 2021 ident: ref_19 article-title: Single-Fourier transform based full-bandwidth Fresnel diffraction publication-title: J. Opt. doi: 10.1088/2040-8986/abdf68 – volume: 45 start-page: 1543 year: 2020 ident: ref_22 article-title: Band-extended angular spectrum method for accurate diffraction calculation in a wide propa-gation range publication-title: Opt. Lett. doi: 10.1364/OL.385553 – volume: 280 start-page: 243 year: 2007 ident: ref_15 article-title: Diffraction transfer function and its calculation of classic diffraction formula publication-title: Opt. Commun. doi: 10.1016/j.optcom.2007.08.053 – volume: 39 start-page: 166 year: 2021 ident: ref_18 article-title: Research on Edge Error Suppression Method of Reconstructed Image of Digital Holography publication-title: Imaging Sci. Photochem. – volume: 46 start-page: 0509001 year: 2019 ident: ref_6 article-title: Self-Interference Digital Holography with Structured Light Illumination for Tomographic Imaging publication-title: Chin. J. Lasers doi: 10.3788/CJL201946.0509001 – volume: 17 start-page: 19662 year: 2009 ident: ref_21 article-title: Band-Limited Angular Spectrum Method for Numerical Simulation of Free-Space Propagation in Far and Near Fields publication-title: Opt. Express doi: 10.1364/OE.17.019662 – volume: 366 start-page: 81 year: 2016 ident: ref_9 article-title: Resolution enhancement phase-contrast imaging by microspheredigital holography publication-title: Opt. Commun. doi: 10.1016/j.optcom.2015.12.031 – ident: ref_16 – volume: 43 start-page: 1143 year: 2018 ident: ref_5 article-title: Coded aperture structured illumination digital holographic microscopy for super-resolution imaging publication-title: Opt. Lett. doi: 10.1364/OL.43.001143 – volume: 164 start-page: 4 year: 1999 ident: ref_11 article-title: Fast algorithms for free-space diffraction patterns calculation publication-title: Opt. Commun. doi: 10.1016/S0030-4018(99)00201-1 – volume: 38 start-page: 105 year: 2018 ident: ref_2 article-title: Automatic Phase-Distortion Compensation Algorithm in Digital Holography publication-title: Acta Opt. Sin. – volume: 37 start-page: 1602 year: 2010 ident: ref_17 article-title: Application of Digital Holography in Phase Measurement publication-title: Chin. J. Lasers doi: 10.3788/CJL20103706.1602 – ident: ref_25 – volume: 44 start-page: 304 year: 2006 ident: ref_13 article-title: Recent contribution in color interferometry and applications to high-speed flows publication-title: Opt. Lasers Eng. doi: 10.1016/j.optlaseng.2005.04.011 – volume: 27 start-page: 1108 year: 2002 ident: ref_12 article-title: Phase-shifting color digital holography publication-title: Opt. Lett. doi: 10.1364/OL.27.001108 – volume: 26 start-page: 23572 year: 2018 ident: ref_4 article-title: Phase-shifting-free resolution enhancement in digital holographic microscopy under structured illumination publication-title: Opt. Express doi: 10.1364/OE.26.023572 – volume: 34 start-page: 573 year: 2009 ident: ref_14 article-title: Digital holographic reconstruction of large objects using a convolution approach and adjustable magnification publication-title: Opt. Lett. – volume: 48 start-page: 105802 year: 2009 ident: ref_20 article-title: Comparison and verification of numerical reconstruction methods in digital holography publication-title: Opt. Eng. doi: 10.1117/1.3251340 – volume: 43 start-page: 88 year: 2023 ident: ref_8 article-title: Microchannel Detection Based on Dual-Wavelength Image-Plane Digital Holographic Microscopy publication-title: Acta Opt. Sin. – volume: 170 start-page: 103459 year: 2023 ident: ref_10 article-title: Surface topographic characterization of optical storage devices by Digital Holographic Microscopy publication-title: Micron doi: 10.1016/j.micron.2023.103459 – volume: 3 start-page: 3536 year: 2020 ident: ref_1 article-title: Looking through diffusers by phase correction with lensless digital holography publication-title: OSA Contin. doi: 10.1364/OSAC.412732 – volume: 47 start-page: 222 year: 2018 ident: ref_3 article-title: Compensation of the Phase Aberrations in Digital Holographic Microscopy Based on Reference Lens Method publication-title: Acta Opt. Sin. – volume: 159 start-page: 107215 year: 2022 ident: ref_7 article-title: Structured illumination in Fresnel biprism-based digital holographic microscopy publication-title: Opt. Lasers Eng. doi: 10.1016/j.optlaseng.2022.107215 – volume: 47 start-page: 3776 year: 2022 ident: ref_23 article-title: Semi-analytic Fresnel diffraction calculation with polynomial decomposition publication-title: Opt. Lett. doi: 10.1364/OL.462972 |
| SSID | ssj0000913810 |
| Score | 2.2899172 |
| Snippet | With the development of digital holography, the accuracy requirements for the reconstruction phase are becoming increasingly high. The transfer function of the... |
| SourceID | doaj proquest gale crossref |
| SourceType | Open Website Aggregation Database Enrichment Source Index Database |
| StartPage | 3632 |
| SubjectTerms | Algorithms Fourier transforms Fresnel diffraction convolution limitation of diffraction distance Lung cancer ringing effect Tukey window under-sampling effect |
| SummonAdditionalLinks | – databaseName: DOAJ Directory of Open Access Journals dbid: DOA link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1LS8NAEB6keNCD2KpYrZJDwQcEk2y6yR5rtXiQ4kGltyX70kJNJa39_c4m25KC4sVrMofNzM7j2-x8A9AVVKSBDAmCnNggQJGRz6TK_BCTvdEWZJRD-14fk9EoHY_ZU23Ul70TVtEDV4q7QWkjiaKCBSKWAREmSYQ0oYmEkFSXbb5BwmpgqozBLLTUVVVDHkFcb_8HW24nQkm0kYJKpv7f4nGZZIb7sOeqQ69fraoJWzpvwW6NM7AFTeeNc-_SUUZfHUBanQ2UR33ezHhDBNG5nnp3E2OKqnXBG8zypdtnXn_6Nismi_ePQ3gZ3j8PHnw3E8GXmOoXfqRkT2FJoLFwMTphAUtlEkmdUdRQpgWiu8TEJItUT9lfqmGWIiDTqekpJijNyBE08lmuj8GjgWAa4YTQJI1jljAVo2ygWC8mQmRxG65XauLSEYbbuRVTjsDB6pTXdNqG7lr4s-LJ-Fns1up7LWLJrcsHaHLuTM7_MnkbLqy1uHVBXJDMXCcBfpYls-J9jDkIo7D2bUNnQxJdR26-XtmbO9edc2LDUkSx8jr5j8Wewk6EdVB1R7IDjUXxpc9gWy4Xk3lxXu7abx4B8ME priority: 102 providerName: Directory of Open Access Journals |
| Title | Improvement of Fresnel Diffraction Convolution Algorithm |
| URI | https://www.proquest.com/docview/3053126710 https://doaj.org/article/210fc3d6b90b4c03bf77bcf1f2bbc6e8 |
| Volume | 14 |
| WOSCitedRecordID | wos001220025500001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVAON databaseName: Directory of Open Access Journals (DOAJ) customDbUrl: eissn: 2076-3417 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000913810 issn: 2076-3417 databaseCode: DOA dateStart: 20110101 isFulltext: true titleUrlDefault: https://www.doaj.org/ providerName: Directory of Open Access Journals – providerCode: PRVHPJ databaseName: ROAD: Directory of Open Access Scholarly Resources customDbUrl: eissn: 2076-3417 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000913810 issn: 2076-3417 databaseCode: M~E dateStart: 20110101 isFulltext: true titleUrlDefault: https://road.issn.org providerName: ISSN International Centre – providerCode: PRVPQU databaseName: ProQuest Central customDbUrl: eissn: 2076-3417 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000913810 issn: 2076-3417 databaseCode: BENPR dateStart: 20110101 isFulltext: true titleUrlDefault: https://www.proquest.com/central providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest Publicly Available Content customDbUrl: eissn: 2076-3417 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000913810 issn: 2076-3417 databaseCode: PIMPY dateStart: 20110101 isFulltext: true titleUrlDefault: http://search.proquest.com/publiccontent providerName: ProQuest |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1Lb9NAEB6VhAMc6AMQoW3kQ6UWJKu211nvnqr0EYFEo6gCVE4r76tUCnZJQn8_M_YmbSTgxNU7ktee2dn5Zne-ATjQXIvEpAxBTu4RoJgslsaWcYqbvXcEMpqmfV8_FeOxuL6Wk1AePQ_XKpc-sXHULdsz3dtGJ3xsa0MZ82NGtpNx3B5P7n7G1EOKzlpDQ40n0CXiraQD3cnHy8m3Vc6FODBFmrRlegzRPp0SE-MT4yxb25ga_v6_eelm6xlt_t9Jb8GLEIJGw9ZmtmHDVTvw_BEx4Q5shyU_j44CL_W7lyDaBESTT4xqH40QqVduGp3fej9r6yOis7q6D8YcDac3-PbF9x-v4Mvo4vPZhzg0XogNxhOLOLNmYDHucBgdeVfIRApTZMaVnGtZOo0QsvA5KzM7sHRum5YCUZ8TfmCl5rxkr6FT1ZV7AxFPtHSIWbRjIs9lIW2OsomVg5xpXeY9eL_868oEVnJqjjFViE5IReqRinpwsBK-a8k4_ix2SupbiRCDdvOgnt2osCAVWqE3zOIHJTo3CdO-KLTxqc-0NtyJHhyS8hWtc5yQKUO5An4WMWapITo2xGoYYPdgb00S16dZH17ahgr-Ya4eTOHtv4d34VmGYVR7xXIPOovZL7cPT8394nY-60P39GI8ueo3mYR-MPfff3QMtQ |
| linkProvider | ProQuest |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1Lb9QwEB6VLRLlALSAWCiQQxEPKcKxs0l8QGhpWXXV7WoPBZWTiV9tpSUpyVLEn-I3Mk6cpSsBtx64xqMoE3-e8Tf2zADsyERmREUMSU5skaAoGnKl8zBCZ2-NIxlN076Pk3Q6zY6P-WwNfna5MO5aZWcTG0OtS-Vi5K-ZQwtN0CG-Pf8auq5R7nS1a6HRwuLA_PiOlK1-M97D-X1G6ej90e5-6LsKhAqd5SKkWg00OlWDrt-alBOeqZQqkyeJ5LmRyI9SG7Oc6oF2h5JRniGlMZkdaC6TJGf43muwHiPYSQ_WZ-PD2adlVMdV2cwi0iYCMsaJO4d2NaVYwuiK62s6BPzNDzTObXT7f_std-CW30YHwxb3m7Bmii24eam44hZserNVBy98be2XdyFrgyhNTDQobTCqTF2YebB3Zm3V5ngEu2Vx4RdkMJyfoLaL0y_34MOV6HMfekVZmAcQJERyg7xLGpbFMU-5jlGWaD6ImZR53IdX3bwK5SuruwYfc4EMy4FAXAJBH3aWwudtQZE_i71zAFmKuCrgzYOyOhHeqAhcSVYxjQoRGSvCpE1TqWxkqZQqMVkfnjt4CWer8INU7lMuUC1X9UsM0Tgj30SS0IftFUm0MWp1uEOf8DauFr-h9_Dfw0_hxv7R4URMxtODR7BBcVvYXhndht6i-mYew3V1sTirqyd-OQXw-aqh-gvTDluo |
| linkToPdf | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1Lb9QwEB6VLUJwKLSAWFoghyIeUtTEzjrxAaFttyuqVqsVAtSbG79KpSUpyVLUv9Zfxzhxlq4E3HrgGo-iTPzNjD_bMwOwLZnMIhVTJDmJRYKiSMiVzsMYg701jmQ0Tfu-HKWTSXZ8zKcrcNXlwrhrlZ1PbBy1LpXbI9-hDi2EYUDcsf5axHQ0fn_-PXQdpNxJa9dOo4XIobn8ifStfncwwrl-Sch4_9Peh9B3GAgVBs55SLQaaAywBpcB1qQ84plKiTI5Y5LnRiJXSm1Cc6IH2h1QxnmG9MZkdqC5ZCyn-N5bsJpSfNqD1d39yfTjYofHVdzM4qhNCqSUR-5M2tWXooySpTDYdAv4W0xoAt34_v_8ix7Aml9eB8PWHtZhxRQbcO9a0cUNWPfurA5e-5rbbx5C1m6uNHulQWmDcWXqwsyC0Zm1VZv7EeyVxYU31GA4O0Vt51-_PYLPN6LPY-gVZWGeQMAiyQ3yMWloliQ85TpB2UjzQUKlzJM-vO3mWChfcd01_pgJZF4OEOIaIPqwvRA-bwuN_Fls14FlIeKqgzcPyupUeGcj0MKsohoVimSiIiptmkplY0ukVMxkfXjloCacD8MPUrlPxUC1XDUwMUSnjTwUyUMftpYk0feo5eEOicL7vlr8huHTfw-_gDuIT3F0MDnchLsEV4vtTdIt6M2rH-YZ3FYX87O6eu4tK4CTm0bqL6vBZEI |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Improvement+of+Fresnel+Diffraction+Convolution+Algorithm&rft.jtitle=Applied+sciences&rft.au=Ge%2C+Cong&rft.au=Song%2C+Qinghe&rft.au=Caiyang%2C+Weinan&rft.au=Gui%2C+Jinbin&rft.date=2024-05-01&rft.issn=2076-3417&rft.eissn=2076-3417&rft.volume=14&rft.issue=9&rft.spage=3632&rft_id=info:doi/10.3390%2Fapp14093632&rft.externalDBID=n%2Fa&rft.externalDocID=10_3390_app14093632 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2076-3417&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2076-3417&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2076-3417&client=summon |