Phase retrieval using the transport of intensity equation solved by the FMG–CG method
The relationship between the object-plane phase and the intensity distribution in the Fresnel region can be described by the transport of intensity equation (TIE). The phase distribution can thus be uniquely determined by solving TIE. In this study, a full multigrid preconditioned conjugate gradient...
Uložené v:
| Vydané v: | Optik (Stuttgart) Ročník 122; číslo 23; s. 2101 - 2106 |
|---|---|
| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Elsevier GmbH
01.12.2011
|
| Predmet: | |
| ISSN: | 0030-4026, 1618-1336 |
| On-line prístup: | Získať plný text |
| Tagy: |
Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
|
| Abstract | The relationship between the object-plane phase and the intensity distribution in the Fresnel region can be described by the transport of intensity equation (TIE). The phase distribution can thus be uniquely determined by solving TIE. In this study, a full multigrid preconditioned conjugate gradient (FMG–CG) method is proposed to numerically solve the TIE for phase retrieval. The full multigrid method is a scalable algorithm, and can be parallelized readily and efficiently. By using this method as a preconditioner of the preconditioned conjugate gradient (PCG) method, fast convergence is obtained. The simulation experiments show that complicated phase distributions with fast convergence speed can be retrieved by this composite method. |
|---|---|
| AbstractList | The relationship between the object-plane phase and the intensity distribution in the Fresnel region can be described by the transport of intensity equation (TIE). The phase distribution can thus be uniquely determined by solving TIE. In this study, a full multigrid preconditioned conjugate gradient (FMG--CG) method is proposed to numerically solve the TIE for phase retrieval. The full multigrid method is a scalable algorithm, and can be parallelized readily and efficiently. By using this method as a preconditioner of the preconditioned conjugate gradient (PCG) method, fast convergence is obtained. The simulation experiments show that complicated phase distributions with fast convergence speed can be retrieved by this composite method. |
| Author | Zheng, Shiling Xue, Bindang |
| Author_xml | – sequence: 1 givenname: Bindang surname: Xue fullname: Xue, Bindang email: xuebd@buaa.edu.cn – sequence: 2 givenname: Shiling surname: Zheng fullname: Zheng, Shiling email: zhengshiling@sa.buaa.edu.cn |
| BookMark | eNqNkLFOwzAURS0EEqXwBSzemFKe49RJBgZUQUEqgqESo-U4L9RVare2W6kb_8Af8iWkLRMDIF3pSU_33OGckWPrLBJyyWDAgInr-cDMW3SDFBgbQBfIjkiPCVYkjHNxTHoAHJIMUnFKzkKYA0CeQ94jry8zFZB6jN7gRrV0HYx9o3GGNHplw9L5SF1DjY1og4lbiqu1isZZGly7wZpW2337_mn8-f4xGtMFxpmrz8lJo9qAF9-3T6b3d9PRQzJ5Hj-ObieJzjiPSV5jXg7TRvBSNU3VcC2qjFcVx3yIImsKjmmBBWjRPdIy04ViuUZWp1Wthhnvk6vD7NK71RpDlAsTNLatsujWQZaCF2UxZOm_mlknbLfJD03tXQgeG7n0ZqH8VjKQO91yLve65U63hC6wo8oflDZxL6rzaNo_2JsDi52pjUEvgzZoNdbGo46yduZX_gu2baBX |
| CitedBy_id | crossref_primary_10_1007_s10665_013_9644_7 crossref_primary_10_1016_j_optlaseng_2020_106187 crossref_primary_10_1038_s41524_021_00600_x crossref_primary_10_1016_j_optlastec_2014_01_013 crossref_primary_10_1103_PhysRevResearch_5_L022043 crossref_primary_10_1364_AO_57_00A222 crossref_primary_10_1038_s44310_024_00051_4 crossref_primary_10_1016_j_optcom_2013_07_022 crossref_primary_10_1364_AO_53_008295 crossref_primary_10_1016_j_cossms_2016_01_002 crossref_primary_10_1364_AO_472772 crossref_primary_10_1107_S1600576722010792 |
| Cites_doi | 10.1103/PhysRevLett.77.2961 10.1364/JOSA.73.001434 10.3788/AOS20092906.1514 10.1016/S0030-4018(03)01353-1 10.1364/JOSAA.19.001817 10.1364/JOSAA.12.001942 10.1364/JOSAA.13.001670 10.1046/j.1365-2818.2002.01027.x 10.1016/S0030-4018(96)00454-3 10.1016/j.ultramic.2004.08.004 10.1364/AO.21.002758 10.1016/S0030-4018(01)01556-5 |
| ContentType | Journal Article |
| Copyright | 2011 |
| Copyright_xml | – notice: 2011 |
| DBID | AAYXX CITATION 7SP 7U5 8FD H8D L7M |
| DOI | 10.1016/j.ijleo.2011.01.004 |
| DatabaseName | CrossRef Electronics & Communications Abstracts Solid State and Superconductivity Abstracts Technology Research Database Aerospace Database Advanced Technologies Database with Aerospace |
| DatabaseTitle | CrossRef Aerospace Database Solid State and Superconductivity Abstracts Technology Research Database Advanced Technologies Database with Aerospace Electronics & Communications Abstracts |
| DatabaseTitleList | Aerospace Database Aerospace Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Physics |
| EISSN | 1618-1336 |
| EndPage | 2106 |
| ExternalDocumentID | 10_1016_j_ijleo_2011_01_004 S0030402611000568 |
| GroupedDBID | --K --M -~X .~1 0R~ 123 1B1 1RT 1~. 1~5 29N 4.4 457 4G. 53G 5VS 7-5 71M 8P~ AABNK AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AAXUO ABEFU ABFNM ABLJU ABMAC ABNEU ABTAH ABXDB ABYKQ ACDAQ ACFVG ACGFS ACNNM ACRLP ADBBV ADEZE ADMUD ADTZH AEBSH AECPX AEKER AENEX AFKWA AFTJW AGHFR AGUBO AGYEJ AHJVU AIEXJ AIKHN AITUG AIVDX AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ ASPBG AVWKF AXJTR AZFZN BJAXD BKOJK BLXMC CAG COF CS3 DU5 EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 F5P FDB FEDTE FGOYB FIRID FNPLU FYGXN G-Q G8K GBLVA HVGLF HZ~ IHE J1W JJJVA KOM M41 MO0 N9A O-L O9- OAUVE OGIMB OZT P-8 P-9 P2P PC. Q38 R2- RIG RNS ROL RPZ SDF SDG SES SEW SPC SPCBC SPD SSQ SST SSZ T5K TN5 VOH XOL ZY4 ~02 ~G- 9DU AATTM AAXKI AAYWO AAYXX ABDPE ABJNI ABWVN ACLOT ACRPL ACVFH ADCNI ADNMO AEIPS AEUPX AFJKZ AFPUW AGQPQ AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP CITATION EFKBS ~HD 7SP 7U5 8FD H8D L7M |
| ID | FETCH-LOGICAL-c433t-7de7952f639affbf3c6b43bb3e75e64f83e28e80c6e75294c8a17ce1d2bda543 |
| ISICitedReferencesCount | 20 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000297612200009&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0030-4026 |
| IngestDate | Sat Sep 27 19:15:58 EDT 2025 Thu Oct 02 05:30:35 EDT 2025 Sat Nov 29 05:40:05 EST 2025 Tue Nov 18 22:36:05 EST 2025 Fri Feb 23 02:33:42 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 23 |
| Keywords | Phase retrieval FMG–CG Transport of intensity equation |
| Language | English |
| License | https://www.elsevier.com/tdm/userlicense/1.0 |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c433t-7de7952f639affbf3c6b43bb3e75e64f83e28e80c6e75294c8a17ce1d2bda543 |
| Notes | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
| PQID | 963846184 |
| PQPubID | 23500 |
| PageCount | 6 |
| ParticipantIDs | proquest_miscellaneous_963898512 proquest_miscellaneous_963846184 crossref_primary_10_1016_j_ijleo_2011_01_004 crossref_citationtrail_10_1016_j_ijleo_2011_01_004 elsevier_sciencedirect_doi_10_1016_j_ijleo_2011_01_004 |
| PublicationCentury | 2000 |
| PublicationDate | 2011-12-00 |
| PublicationDateYYYYMMDD | 2011-12-01 |
| PublicationDate_xml | – month: 12 year: 2011 text: 2011-12-00 |
| PublicationDecade | 2010 |
| PublicationTitle | Optik (Stuttgart) |
| PublicationYear | 2011 |
| Publisher | Elsevier GmbH |
| Publisher_xml | – name: Elsevier GmbH |
| References | Fienup (bib0005) 1982; 21 Teague (bib0020) 1983; 73 Gureyev, Nugent (bib0080) 1996; 13 Ames (bib0090) 1997 Barone-Nugent, Barty, Nugent (bib0010) 2002; 206 Hackbusch (bib0095) 1985 doi:10.1.1.110.418&rep=rep1&type=pdf. Trefethen, Bau (bib0050) 1997 Gureyev, Roberts, Nugent (bib0070) 1995; 12 Gureyev, Nugent (bib0025) 1997; 133 Gureyev (bib0075) 2003; 220 . Nugent, Gureyev, Cookson, Paganin, Barnea (bib0015) 1996; 77 Y. Saad, Iterative Methods for Sparse Linear Systems, 2000, pp. 245–250 Beleggia, Schofield, Volkov, Zhu (bib0085) 2004; 102 Allen, Oxley (bib0035) 2001; 199 Xue, Zheng, Jiang (bib0045) 2009; 29 O. Tatebe, MGCG Method. A Robust and Highly Parallel Iterative Method. Ph.D Thesis, University of Tokyo, 1996, pp. 37–43. Xiao, Heng, Dazun (bib0030) 2007; 27 Press, Teukolsky, Vetterling, Flannery (bib0040) 1992 J.R. Shewchuk, An introduction to the conjugate gradient method without the agonizing pain, August 1994 Gilles, Vogel, Ellerbroek (bib0065) 2002; 19 Gilles (10.1016/j.ijleo.2011.01.004_bib0065) 2002; 19 Teague (10.1016/j.ijleo.2011.01.004_bib0020) 1983; 73 Xiao (10.1016/j.ijleo.2011.01.004_bib0030) 2007; 27 Trefethen (10.1016/j.ijleo.2011.01.004_bib0050) 1997 Xue (10.1016/j.ijleo.2011.01.004_bib0045) 2009; 29 Allen (10.1016/j.ijleo.2011.01.004_bib0035) 2001; 199 Fienup (10.1016/j.ijleo.2011.01.004_bib0005) 1982; 21 Gureyev (10.1016/j.ijleo.2011.01.004_bib0080) 1996; 13 Beleggia (10.1016/j.ijleo.2011.01.004_bib0085) 2004; 102 Nugent (10.1016/j.ijleo.2011.01.004_bib0015) 1996; 77 Gureyev (10.1016/j.ijleo.2011.01.004_bib0075) 2003; 220 10.1016/j.ijleo.2011.01.004_bib0060 Press (10.1016/j.ijleo.2011.01.004_bib0040) 1992 Gureyev (10.1016/j.ijleo.2011.01.004_bib0070) 1995; 12 Gureyev (10.1016/j.ijleo.2011.01.004_bib0025) 1997; 133 10.1016/j.ijleo.2011.01.004_bib0055 10.1016/j.ijleo.2011.01.004_bib0100 Hackbusch (10.1016/j.ijleo.2011.01.004_bib0095) 1985 Ames (10.1016/j.ijleo.2011.01.004_bib0090) 1997 Barone-Nugent (10.1016/j.ijleo.2011.01.004_bib0010) 2002; 206 |
| References_xml | – reference: doi:10.1.1.110.418&rep=rep1&type=pdf. – volume: 19 start-page: 1817 year: 2002 end-page: 1822 ident: bib0065 article-title: Multigrid preconditioned conjugate-gradient method for large-scale wave-front reconstruction publication-title: J. Opt. Soc. Am. A – volume: 12 start-page: 1942 year: 1995 end-page: 1946 ident: bib0070 article-title: Partially coherent fields, the transport-of-intensity equation, and phase uniqueness publication-title: J. Opt. Soc. Am. A – year: 1997 ident: bib0050 article-title: Numerical Linear Algebra – volume: 199 start-page: 65 year: 2001 end-page: 75 ident: bib0035 article-title: Phase retrieval from series of images obtained by defocus variation publication-title: Opt. Commun. – volume: 21 start-page: 2758 year: 1982 end-page: 2769 ident: bib0005 article-title: Phase retrieval algorithms: a comparison publication-title: Appl. Opt. – year: 1997 ident: bib0090 article-title: Numerical Methods for Partial Differential Equations – reference: J.R. Shewchuk, An introduction to the conjugate gradient method without the agonizing pain, August 1994, – volume: 102 start-page: 37 year: 2004 end-page: 49 ident: bib0085 article-title: On the transport of intensity technique for phase retrieval publication-title: Ultramicroscopy – volume: 133 start-page: 339 year: 1997 end-page: 346 ident: bib0025 article-title: Rapid quantitative phase imaging using the transport of intensity equation publication-title: Opt. Commun. – volume: 13 start-page: 1670 year: 1996 end-page: 1682 ident: bib0080 article-title: Phase retrieval with the transport-of-intensity equation. II. Orthogonal series solution for nonuniform illumination publication-title: J. Opt. Soc. Am. A – year: 1985 ident: bib0095 article-title: Multigrid Methods and Applications – reference: O. Tatebe, MGCG Method. A Robust and Highly Parallel Iterative Method. Ph.D Thesis, University of Tokyo, 1996, pp. 37–43. – volume: 73 start-page: 1434 year: 1983 end-page: 1441 ident: bib0020 article-title: Deterministic phase retrieval: a Green's function solution publication-title: J. Opt. Soc. Am. – volume: 206 start-page: 194 year: 2002 end-page: 203 ident: bib0010 article-title: Quantitative phase-amplitude microscopy. I: Optical microscopy publication-title: J. Microsc. – reference: Y. Saad, Iterative Methods for Sparse Linear Systems, 2000, pp. 245–250, – volume: 27 start-page: 2117 year: 2007 end-page: 2122 ident: bib0030 article-title: Phase retrieval based on intensity transport equation publication-title: Acta Opt. Sin. – year: 1992 ident: bib0040 article-title: Numerical Recipes in C: The Art of Scientific Computing – volume: 220 start-page: 49 year: 2003 end-page: 58 ident: bib0075 article-title: Composite techniques for phase retrieval in the Fresnel region publication-title: Opt. Commun. – volume: 77 start-page: 2961 year: 1996 end-page: 2964 ident: bib0015 article-title: Quantitative phase imaging using hard X rays publication-title: Phys. Rev. Lett. – reference: . – volume: 29 start-page: 1514 year: 2009 end-page: 1518 ident: bib0045 article-title: Phase retrieval using the transport of intensity equation solved by full multigrid method publication-title: Acta Opt. Sin. – ident: 10.1016/j.ijleo.2011.01.004_bib0100 – volume: 77 start-page: 2961 year: 1996 ident: 10.1016/j.ijleo.2011.01.004_bib0015 article-title: Quantitative phase imaging using hard X rays publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.77.2961 – volume: 73 start-page: 1434 issue: 11 year: 1983 ident: 10.1016/j.ijleo.2011.01.004_bib0020 article-title: Deterministic phase retrieval: a Green's function solution publication-title: J. Opt. Soc. Am. doi: 10.1364/JOSA.73.001434 – volume: 29 start-page: 1514 issue: 6 year: 2009 ident: 10.1016/j.ijleo.2011.01.004_bib0045 article-title: Phase retrieval using the transport of intensity equation solved by full multigrid method publication-title: Acta Opt. Sin. doi: 10.3788/AOS20092906.1514 – volume: 220 start-page: 49 year: 2003 ident: 10.1016/j.ijleo.2011.01.004_bib0075 article-title: Composite techniques for phase retrieval in the Fresnel region publication-title: Opt. Commun. doi: 10.1016/S0030-4018(03)01353-1 – year: 1997 ident: 10.1016/j.ijleo.2011.01.004_bib0090 – volume: 19 start-page: 1817 year: 2002 ident: 10.1016/j.ijleo.2011.01.004_bib0065 article-title: Multigrid preconditioned conjugate-gradient method for large-scale wave-front reconstruction publication-title: J. Opt. Soc. Am. A doi: 10.1364/JOSAA.19.001817 – volume: 12 start-page: 1942 year: 1995 ident: 10.1016/j.ijleo.2011.01.004_bib0070 article-title: Partially coherent fields, the transport-of-intensity equation, and phase uniqueness publication-title: J. Opt. Soc. Am. A doi: 10.1364/JOSAA.12.001942 – volume: 13 start-page: 1670 year: 1996 ident: 10.1016/j.ijleo.2011.01.004_bib0080 article-title: Phase retrieval with the transport-of-intensity equation. II. Orthogonal series solution for nonuniform illumination publication-title: J. Opt. Soc. Am. A doi: 10.1364/JOSAA.13.001670 – volume: 206 start-page: 194 year: 2002 ident: 10.1016/j.ijleo.2011.01.004_bib0010 article-title: Quantitative phase-amplitude microscopy. I: Optical microscopy publication-title: J. Microsc. doi: 10.1046/j.1365-2818.2002.01027.x – volume: 27 start-page: 2117 issue: 12 year: 2007 ident: 10.1016/j.ijleo.2011.01.004_bib0030 article-title: Phase retrieval based on intensity transport equation publication-title: Acta Opt. Sin. – year: 1985 ident: 10.1016/j.ijleo.2011.01.004_bib0095 – volume: 133 start-page: 339 year: 1997 ident: 10.1016/j.ijleo.2011.01.004_bib0025 article-title: Rapid quantitative phase imaging using the transport of intensity equation publication-title: Opt. Commun. doi: 10.1016/S0030-4018(96)00454-3 – ident: 10.1016/j.ijleo.2011.01.004_bib0055 – volume: 102 start-page: 37 year: 2004 ident: 10.1016/j.ijleo.2011.01.004_bib0085 article-title: On the transport of intensity technique for phase retrieval publication-title: Ultramicroscopy doi: 10.1016/j.ultramic.2004.08.004 – volume: 21 start-page: 2758 year: 1982 ident: 10.1016/j.ijleo.2011.01.004_bib0005 article-title: Phase retrieval algorithms: a comparison publication-title: Appl. Opt. doi: 10.1364/AO.21.002758 – ident: 10.1016/j.ijleo.2011.01.004_bib0060 – volume: 199 start-page: 65 year: 2001 ident: 10.1016/j.ijleo.2011.01.004_bib0035 article-title: Phase retrieval from series of images obtained by defocus variation publication-title: Opt. Commun. doi: 10.1016/S0030-4018(01)01556-5 – year: 1997 ident: 10.1016/j.ijleo.2011.01.004_bib0050 – year: 1992 ident: 10.1016/j.ijleo.2011.01.004_bib0040 |
| SSID | ssj0007707 |
| Score | 1.9957467 |
| Snippet | The relationship between the object-plane phase and the intensity distribution in the Fresnel region can be described by the transport of intensity equation... |
| SourceID | proquest crossref elsevier |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 2101 |
| SubjectTerms | Conjugate gradients Convergence FMG–CG Mathematical analysis Mathematical models Multigrid methods Phase distribution Phase retrieval Transport Transport of intensity equation |
| Title | Phase retrieval using the transport of intensity equation solved by the FMG–CG method |
| URI | https://dx.doi.org/10.1016/j.ijleo.2011.01.004 https://www.proquest.com/docview/963846184 https://www.proquest.com/docview/963898512 |
| Volume | 122 |
| WOSCitedRecordID | wos000297612200009&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: PRVESC databaseName: Elsevier SD Freedom Collection Journals 2021 customDbUrl: eissn: 1618-1336 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0007707 issn: 0030-4026 databaseCode: AIEXJ dateStart: 20010101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1bb9MwFLbKBhIvE1cxBsgPiJcSlDhOnDyOqR1DpZtEmPpmJY4NK1XatUk1_j3Hjp2tXAo8IEVRax2niT_33HIuCL2M04DmqYi8JJCxR2UpvFzobu5prBJBC-Gb3oDnIzYeJ5NJetbrnbhcmPWMVVVydZUu_ivUMAZg69TZf4C7uygMwGcAHc4AO5z_CvizLyCY-kvTKQuu229WLiOqdoXMXZ2IygRkyMu23Hcf7mttFVKgHn449ryjY9tj-qYSewps5qtWTT_WTV1_znXWT-dPmDTGRfpW2_pWKhq_tLR-ae3AseNl5z29DtywDDT0tckZbzBQQm7sFBJu8EM7W7qv8S_5dutCmL65mM5MSqYurApH25l4s0r2-JQPP41GPBtMsleLS083ENMv2m03lVtol7AoBQa3e3gymLzvxDJjbe68ewJXgsoE-_30u79TU34Q2EYLye6hPWs-4MMW9vuoJ6sH6I4J4xWrh-jcgI878LEBHwOcuAMfzxXuwMcOfNyCj4tvhtqCj1vwH6FsOMiO3nm2c4YnaBjWHislSyOiQP3MlSpUKOKChkURShbJmKoklCSRiS9iGCApFUkeMCGDkhRlHtHwMdqp5pV8gjApdY1DsKkDrcwplgORCiRoqT4tFE32EXHrxIWtKq-bm8y4Cx-ccrO4XC8u9-Hw6T563U1atEVVtpPHDgBu9cJW3-OwfbZPxA4uDlxTvwrLKzlvVlyLHap7HW0nScEeIU__THKA7l7_W56hnXrZyOfotljXF6vlC7sTvwMIY5mk |
| linkProvider | Elsevier |
| 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=Phase+retrieval+using+the+transport+of+intensity+equation+solved+by+the+FMG--CG+method&rft.jtitle=Optik+%28Stuttgart%29&rft.au=Xue%2C+Bindang&rft.au=Zheng%2C+Shiling&rft.date=2011-12-01&rft.issn=0030-4026&rft.volume=122&rft.issue=23&rft.spage=2101&rft.epage=2106&rft_id=info:doi/10.1016%2Fj.ijleo.2011.01.004&rft.externalDBID=NO_FULL_TEXT |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0030-4026&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0030-4026&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0030-4026&client=summon |