RING: An integral equation algorithm for HF-VHF radio wave propagation over irregular, inhomogeneous terrain
A modification in the mathematical derivation of an integral equation for propagation over irregular, inhomogeneous terrain and a numerically stable algorithm, RING, is developed to extend the frequency range of program WAGNER to frequencies in the VHF region. The solution to the integral equation i...
        Saved in:
      
    
          | Published in | Radio science Vol. 27; no. 6; pp. 867 - 882 | 
|---|---|
| Main Author | |
| Format | Journal Article | 
| Language | English | 
| Published | 
        Washington, DC
          Blackwell Publishing Ltd
    
        01.11.1992
     American Geophysical Union  | 
| Subjects | |
| Online Access | Get full text | 
| ISSN | 0048-6604 1944-799X  | 
| DOI | 10.1029/92RS01778 | 
Cover
| Abstract | A modification in the mathematical derivation of an integral equation for propagation over irregular, inhomogeneous terrain and a numerically stable algorithm, RING, is developed to extend the frequency range of program WAGNER to frequencies in the VHF region. The solution to the integral equation is compared to residue theory and Fock theory and excellent agreement is obtained. | 
    
|---|---|
| AbstractList | A modification in the mathematical derivation of an integral equation for propagation over irregular, inhomogeneous terrain and a numerically stable algorithm, RING, is developed to extend the frequency range of program WAGNER to frequencies in the VHF region. The solution to the integral equation is compared to residue theory and Fock theory and excellent agreement is obtained. | 
    
| Author | Ott, R. H. | 
    
| Author_xml | – sequence: 1 givenname: R. H. surname: Ott fullname: Ott, R. H.  | 
    
| BackLink | http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=4479641$$DView record in Pascal Francis | 
    
| BookMark | eNp90ctOGzEUBmCrolIDZdE38KKqWqkDvnumO0ibBIFASuhlZ51MPINbZxzsCZS3r8tQFlXLypvv_3V8zi7a6UJnEXpFyQElrDqs2HxBqNblMzSilRCFrqpvO2hEiCgLpYh4gXZT-k4IFVKJEfLzk_PpB3zUYdf1to3gsb3eQu9Ch8G3Ibr-ao2bEPFsUnyZTXCElQv4Fm4s3sSwgXaw4cZG7GK07dZDfJ_brsI6tLazYZtwb2ME171Ezxvwye4_vHvo8-TT5XhWnF1MT8ZHZ0XNKy0LQW0Dy2opV4wSzTjlRHKlOJWgK66XJcu_WdXMEkGVAsYaC1pAAwygZCvN99CboTdPeL21qTdrl2rrPdyPY5gsRVlykuHbJyGVkhLBBWOZvn6gkGrwTYSudslsoltDvDNC6EoJmtnhwOoYUoq2MbXr71fU5w14Q4n5fSfzeKecePdX4k_nv-zBYG-dt3f_h2b-ccG5kjlQDAGXevvzMQDxh1Gaa2m-nk_N-JguTk-5MoL_AqQQsD8 | 
    
| CODEN | RASCAD | 
    
| CitedBy_id | crossref_primary_10_1109_8_898771 crossref_primary_10_1029_95RS00835 crossref_primary_10_1109_TAP_2023_3266840 crossref_primary_10_1029_96RS02919 crossref_primary_10_1109_TBC_2023_3311335 crossref_primary_10_1016_j_pce_2006_02_007 crossref_primary_10_1109_36_823932 crossref_primary_10_1029_2002RS002696 crossref_primary_10_1029_94RS03016 crossref_primary_10_1109_8_623122 crossref_primary_10_1049_ip_rsn_20010111 crossref_primary_10_1109_8_752998 crossref_primary_10_1007_BF02676566  | 
    
| Cites_doi | 10.1029/RS005i005p00767 10.1049/el:19660148 10.1029/RS006i004p00429 10.1109/TAP.1974.1140770  | 
    
| ContentType | Journal Article | 
    
| Copyright | Copyright 1992 by the American Geophysical Union. 1993 INIST-CNRS  | 
    
| Copyright_xml | – notice: Copyright 1992 by the American Geophysical Union. – notice: 1993 INIST-CNRS  | 
    
| DBID | BSCLL AAYXX CITATION IQODW 7SP 8FD L7M 7SC JQ2 L~C L~D  | 
    
| DOI | 10.1029/92RS01778 | 
    
| DatabaseName | Istex CrossRef Pascal-Francis Electronics & Communications Abstracts Technology Research Database Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts ProQuest Computer Science Collection Computer and Information Systems Abstracts  Academic Computer and Information Systems Abstracts Professional  | 
    
| DatabaseTitle | CrossRef Technology Research Database Advanced Technologies Database with Aerospace Electronics & Communications Abstracts Computer and Information Systems Abstracts – Academic ProQuest Computer Science Collection Computer and Information Systems Abstracts Computer and Information Systems Abstracts Professional  | 
    
| DatabaseTitleList | Technology Research Database CrossRef Technology Research Database  | 
    
| DeliveryMethod | fulltext_linktorsrc | 
    
| Discipline | Meteorology & Climatology Engineering Applied Sciences  | 
    
| EISSN | 1944-799X | 
    
| EndPage | 882 | 
    
| ExternalDocumentID | 4479641 10_1029_92RS01778 RDS3365 ark_67375_WNG_CB1SKK36_4  | 
    
| Genre | article | 
    
| GroupedDBID | -~X 05W 0R~ 123 186 1OB 1OC 29P 31~ 33P 50Y 6IK 6TJ 8-1 88I 8FE 8FG 8FH 8G5 8R4 8R5 AAESR AAHQN AAIHA AAJGR AAMMB AAMNL AANHP AANLZ AASGY AAXRX AAYCA AAZKR ABAZT ABCUV ABDPE ABJNI ABUWG ABVLG ACAHQ ACBEA ACBWZ ACCZN ACGFO ACGFS ACGOD ACPOU ACRPL ACXBN ACXQS ACYXJ ADBBV ADEOM ADKYN ADMGS ADMLS ADNMO ADOZA ADXAS ADZMN AEFGJ AEIGN AENEX AEUYN AEUYR AEYWJ AFBPY AFFNX AFFPM AFGKR AFKRA AFWVQ AGHNM AGQPQ AGXDD AGYGG AHBTC AIDQK AIDYY AIQQE AITYG AIURR ALMA_UNASSIGNED_HOLDINGS ALUQN ALVPJ ALXUD AMYDB ARAPS ASPBG AVWKF AZFZN AZQEC AZVAB BDRZF BEFXN BENPR BFFAM BFHJK BGLVJ BGNUA BHPHI BKEBE BKSAR BMXJE BPEOZ BPHCQ BRXPI BSCLL CCPQU CS3 D1K DCZOG DPXWK DRFUL DRSTM DU5 DWQXO EBS EJD FEDTE G-S GNUQQ GODZA GUQSH HCIFZ HGLYW HVGLF HZ~ H~9 IPLJI JAVBF K6- LATKE LEEKS LH4 LITHE LK5 LOXES LUTES LYRES M2O M2P M7R MEWTI MSFUL MSSTM MXFUL MXSTM MY~ O9- OCL OHT OK1 P-X P2P P2W P62 PCBAR PHGZM PHGZT PQGLB PQQKQ PROAC PUEGO Q2X R.K RIWAO RJQFR ROL SAMSI SUPJJ TN5 UHW UQL VOH WBKPD WIN WXSBR YNT ZY4 ZZTAW ~02 ~OA ~~A AAYXX CITATION IQODW XOL 7SP 8FD L7M 7SC JQ2 L~C L~D  | 
    
| ID | FETCH-LOGICAL-c3975-41efab9b5d2107231305366315a7937b82004dc2e04166a22fea74afa2aa82d73 | 
    
| ISSN | 0048-6604 | 
    
| IngestDate | Thu Oct 02 09:43:17 EDT 2025 Thu Oct 02 07:38:32 EDT 2025 Mon Jul 21 09:17:22 EDT 2025 Thu Apr 24 22:55:46 EDT 2025 Wed Oct 01 04:45:43 EDT 2025 Thu Sep 25 07:35:54 EDT 2025 Sun Sep 21 06:19:43 EDT 2025  | 
    
| IsPeerReviewed | true | 
    
| IsScholarly | true | 
    
| Issue | 6 | 
    
| Keywords | Radio wave Very high frequency Wave attenuation Wave propagation Integral equation High frequency Green function  | 
    
| Language | English | 
    
| License | http://onlinelibrary.wiley.com/termsAndConditions#vor CC BY 4.0  | 
    
| LinkModel | OpenURL | 
    
| MergedId | FETCHMERGED-LOGICAL-c3975-41efab9b5d2107231305366315a7937b82004dc2e04166a22fea74afa2aa82d73 | 
    
| Notes | ark:/67375/WNG-CB1SKK36-4 istex:402D0836B156C719F67CE95DBF6AA6E3C1723113 ArticleID:92RS01778 ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23  | 
    
| PQID | 1551043422 | 
    
| PQPubID | 23500 | 
    
| PageCount | 16 | 
    
| ParticipantIDs | proquest_miscellaneous_25848830 proquest_miscellaneous_1551043422 pascalfrancis_primary_4479641 crossref_citationtrail_10_1029_92RS01778 crossref_primary_10_1029_92RS01778 wiley_primary_10_1029_92RS01778_RDS3365 istex_primary_ark_67375_WNG_CB1SKK36_4  | 
    
| ProviderPackageCode | CITATION AAYXX  | 
    
| PublicationCentury | 1900 | 
    
| PublicationDate | November-December 1992 | 
    
| PublicationDateYYYYMMDD | 1992-11-01 | 
    
| PublicationDate_xml | – month: 11 year: 1992 text: November-December 1992  | 
    
| PublicationDecade | 1990 | 
    
| PublicationPlace | Washington, DC | 
    
| PublicationPlace_xml | – name: Washington, DC | 
    
| PublicationTitle | Radio science | 
    
| PublicationTitleAlternate | Radio Sci | 
    
| PublicationYear | 1992 | 
    
| Publisher | Blackwell Publishing Ltd American Geophysical Union  | 
    
| Publisher_xml | – name: Blackwell Publishing Ltd – name: American Geophysical Union  | 
    
| References | Hacking, K., Approximate methods for calculating multiple diffraction losses, Electron. Lett., 2, 179-180, 1966. Hacking, K., UHF propagatoin over rounded hills, Proc. IEEE, 1173, 499-511, 1970. Fock, V. A., Electromagnetic Diffraction and Propagation Problems,Pergamon,New York, p.206, equation 5.13,1965. Ott, R. H., Fock currents for concave surfaces, IEEE Trans. Antennas Propag., AP-222, 357-360, 1974. Ott, R. H., An alternative integral equation for propagation over irregular terrain, Radio Sci., 55, 767-771, 1970. Wait, J. R., Electromagnetic Surface Waves in Advances in Radio Research, 1J. Saxton, 157-217, Academic, San Diego, Calif., 1964. Ott, R. H., L. A. Berry, An alternative integral equation for propagation over irregular terrain, Part 2, Radio Sci., 64, 429-435, 1971. 1965 1964; 1 1966; 2 1970; 117 1974; AP‐22 1970; 5 1971; 6 e_1_2_1_7_1 e_1_2_1_8_1 e_1_2_1_5_1 e_1_2_1_6_1 e_1_2_1_3_1 Fock V. A. (e_1_2_1_2_1) 1965 Hacking K. (e_1_2_1_4_1) 1970; 117  | 
    
| References_xml | – reference: Ott, R. H., Fock currents for concave surfaces, IEEE Trans. Antennas Propag., AP-222, 357-360, 1974. – reference: Hacking, K., UHF propagatoin over rounded hills, Proc. IEEE, 1173, 499-511, 1970. – reference: Ott, R. H., An alternative integral equation for propagation over irregular terrain, Radio Sci., 55, 767-771, 1970. – reference: Hacking, K., Approximate methods for calculating multiple diffraction losses, Electron. Lett., 2, 179-180, 1966. – reference: Ott, R. H., L. A. Berry, An alternative integral equation for propagation over irregular terrain, Part 2, Radio Sci., 64, 429-435, 1971. – reference: Fock, V. A., Electromagnetic Diffraction and Propagation Problems,Pergamon,New York, p.206, equation 5.13,1965. – reference: Wait, J. R., Electromagnetic Surface Waves in Advances in Radio Research, 1J. Saxton, 157-217, Academic, San Diego, Calif., 1964. – volume: 2 start-page: 179 year: 1966 end-page: 180 article-title: Approximate methods for calculating multiple diffraction losses publication-title: Electron. Lett. – volume: 1 start-page: 157 year: 1964 end-page: 217 – start-page: 206 year: 1965 – volume: AP‐22 start-page: 357 issue: 2 year: 1974 end-page: 360 article-title: Fock currents for concave surfaces publication-title: IEEE Trans. Antennas Propag. – volume: 117 start-page: 499 issue: 3 year: 1970 end-page: 511 article-title: UHF propagatoin over rounded hills publication-title: Proc. IEEE – volume: 5 start-page: 767 issue: 5 year: 1970 end-page: 771 article-title: An alternative integral equation for propagation over irregular terrain publication-title: Radio Sci. – volume: 6 start-page: 429 issue: 4 year: 1971 end-page: 435 article-title: An alternative integral equation for propagation over irregular terrain, Part 2 publication-title: Radio Sci. – start-page: 206 volume-title: Electromagnetic Diffraction and Propagation Problems year: 1965 ident: e_1_2_1_2_1 – ident: e_1_2_1_6_1 doi: 10.1029/RS005i005p00767 – ident: e_1_2_1_3_1 doi: 10.1049/el:19660148 – volume: 117 start-page: 499 issue: 3 year: 1970 ident: e_1_2_1_4_1 article-title: UHF propagatoin over rounded hills publication-title: Proc. IEEE – ident: e_1_2_1_7_1 doi: 10.1029/RS006i004p00429 – ident: e_1_2_1_5_1 doi: 10.1109/TAP.1974.1140770 – ident: e_1_2_1_8_1  | 
    
| SSID | ssj0014564 | 
    
| Score | 1.4336944 | 
    
| Snippet | A modification in the mathematical derivation of an integral equation for propagation over irregular, inhomogeneous terrain and a numerically stable algorithm,... | 
    
| SourceID | proquest pascalfrancis crossref wiley istex  | 
    
| SourceType | Aggregation Database Index Database Enrichment Source Publisher  | 
    
| StartPage | 867 | 
    
| SubjectTerms | Algorithms Applied sciences Derivation Exact sciences and technology Frequency ranges Integral equations Mathematical models Propagation through the atmosphere Radiocommunications Radiowave propagation Rings (mathematics) Telecommunications Telecommunications and information theory Terrain Wave propagation  | 
    
| Title | RING: An integral equation algorithm for HF-VHF radio wave propagation over irregular, inhomogeneous terrain | 
    
| URI | https://api.istex.fr/ark:/67375/WNG-CB1SKK36-4/fulltext.pdf https://onlinelibrary.wiley.com/doi/abs/10.1029%2F92RS01778 https://www.proquest.com/docview/1551043422 https://www.proquest.com/docview/25848830  | 
    
| Volume | 27 | 
    
| hasFullText | 1 | 
    
| inHoldings | 1 | 
    
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVEBS databaseName: Inspec with Full Text customDbUrl: eissn: 1944-799X dateEnd: 20241102 omitProxy: false ssIdentifier: ssj0014564 issn: 0048-6604 databaseCode: ADMLS dateStart: 19681101 isFulltext: true titleUrlDefault: https://www.ebsco.com/products/research-databases/inspec-full-text providerName: EBSCOhost  | 
    
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1fb9MwELegfYEHBANEgIFBaCCFlMRx_pi30lEixvbQbmxvkZM4rKJLIBSBeOIj8Bn5JJztxG3ZJg1eojayo8T38_nOd74fQk94TnxaeJ4DpkLuwHrsgh7MAodx4oc5ywMdLtjdC5MD-vYoOFqybarTJYtskP8481zJ_0gV7oFc5SnZf5CseSjcgN8gX7iChOF6IRnLTIZ2Z68t-zC3xWddvNvm8w81eP7HJyqTMBmbtIb3ydhueDGr7W-SeghUKCiV1nKEIbBnTaMI6pUsZ9VxfVLDGwiZKwtCkJQSqxbtRD2pXUjNlq0OOU0GdjJY7iuoHFTP7Cu0upLGThhqcuCB0OqRUepETJHfGv2pz_a3OFlVhrEm2ujWVU0ydEplu0RWPGVkMgXloOl81sti_7VcmSRCFT4nLDVdL6M-Ad3u9lB_uL37bmqiSbJkjs400F_UVZgi7IXpvGaX9OUU-y7zZPkXmCql5jhZc0JWXRlli-xfR9daJwIPNSJuoEui2kBXV0pLbiBrF7yhulFBE7yFR_MZuCbq301USdy8xMMKd6jBHWqwQQ0G1OBk_PvnL8ALVnjBEi94BS9Y4gUbvDzHa2jBLVpuoYPx6_1R4rS8G04O1mngUE-UPGNZUBDPjcABgDXBB8vUC7isppjFcg4WOREuWPMhJ6QUPKK85ITzmBSRfxv1qroSdxAumFcwPxTgtpY0ygjLShYKkTPJceOWuYWedaOe5m1ResmNMk9PSddCj03TT7oSy1mNtpToTAvefJSpi1GQHu69SUevvOnOjh-m1EKba7I1HSiVh7M9Cz3qZJ2CwpVRNK7GLpU-hkt9SoiFHp7ThoBZH8e-a6GnCibnv3A62Z76fhjcvcjX3UNXljP1Puotmq9iE2ziRfaghfwf_peykQ | 
    
| linkProvider | EBSCOhost | 
    
| 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=RING%3A+An+integral+equation+algorithm+for+HF%E2%80%90VHF+radio+wave+propagation+over+irregular%2C+inhomogeneous+terrain&rft.jtitle=Radio+science&rft.au=Ott%2C+R.+H.&rft.date=1992-11-01&rft.issn=0048-6604&rft.eissn=1944-799X&rft.volume=27&rft.issue=6&rft.spage=867&rft.epage=882&rft_id=info:doi/10.1029%2F92RS01778&rft.externalDBID=n%2Fa&rft.externalDocID=10_1029_92RS01778 | 
    
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0048-6604&client=summon | 
    
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0048-6604&client=summon | 
    
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0048-6604&client=summon |