Singularities of Diffuse Wave Fields in Scattering Media with Refractive Index Gradients
The subject of this paper is the radiative transfer in media with refractive index gradients. Asymptotic expressions of the intensity distributions in the vicinity of singular directions are derived. Critical conditions for the occurrence of singular intensity distributions in fields of scattered ra...
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| Published in | Moscow University physics bulletin Vol. 79; no. 3; pp. 336 - 344 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Moscow
Pleiades Publishing
01.06.2024
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0027-1349 1934-8460 |
| DOI | 10.3103/S0027134924700450 |
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| Abstract | The subject of this paper is the radiative transfer in media with refractive index gradients. Asymptotic expressions of the intensity distributions in the vicinity of singular directions are derived. Critical conditions for the occurrence of singular intensity distributions in fields of scattered radiation in a medium are formulated. It is shown that singular radiation fields in such media can be generated, among other things, by nonsingular configurations of radiation sources. The obtained results are verified by direct comparison with the results of numerical calculations using the Monte Carlo statistical modelling method. |
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| AbstractList | The subject of this paper is the radiative transfer in media with refractive index gradients. Asymptotic expressions of the intensity distributions in the vicinity of singular directions are derived. Critical conditions for the occurrence of singular intensity distributions in fields of scattered radiation in a medium are formulated. It is shown that singular radiation fields in such media can be generated, among other things, by nonsingular configurations of radiation sources. The obtained results are verified by direct comparison with the results of numerical calculations using the Monte Carlo statistical modelling method. |
| Author | Ilyushin, Ya. A. |
| Author_xml | – sequence: 1 givenname: Ya. A. surname: Ilyushin fullname: Ilyushin, Ya. A. email: ilyushin@phys.msu.ru organization: Department of Atmospheric Physics,Faculty of Physics, Lomonosov Moscow State University, Kotelnikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences |
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| Copyright | Allerton Press, Inc. 2024. ISSN 0027-1349, Moscow University Physics Bulletin, 2024, Vol. 79, No. 3, pp. 336–344. © Allerton Press, Inc., 2024. |
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| References | IlyushinYa. A.J. Opt. Soc. Am. A19862919862012JOSAA..29.1986I10.1364/josaa.29.001986 ZiolkowskiR. W.EnghetaN.Metamaterials: Physics and Engineering Explorations200610.1002/0471784192.ch1 AkkermansE.WolfP. E.MaynardR.Phys. Rev. Lett.19865614711986PhRvL..56.1471A10.1103/physrevlett.56.1471 SiewertC. E.J. Quantum Spectrosc. Radiat. Transfer1985335511985JQSRT..33..551S10.1016/0022-4073(85)90022-6 GermogenovaT. A.Local Properties of the Solution of the Transfer Equation1986MoscowNauka WatsonK. M.J. Math. Phys.1969106881969JMP....10..688W10.1063/1.1664895 HelliwellW. S.J. Opt. Soc. Am. A1985213251985OSAJ....2.1325H10.1364/josaa.2.001325 IshimaruA.Wave Propagation and Scattering in Random Media1978New YorkAcademic10.1016/B978-0-12-374701-3.X5001-7 DolinL. S.SergeevaE. A.Radiophysics Quantum Electron.20014485810.1023/a:1014211813596 FedoryukM. V.Asymptotics: Integrals and Series1987MoscowNauka IlyushinYa. A.J. Opt. Soc. Am. A20133013052013JOSAA..30.1305I10.1364/josaa.30.001305 BudakV. P.KlyuykovD. A.KorkinS. V.Springer Praxis BooksLight Scattering Reviews 52010BerlinSpringer10.1007/978-3-642-10336-0_5 El'sgol'tsL. E.Differential Equations and Variational Calculus1969MoscowNauka L. I. Prikhodko, I. Shirokov, and A. Padokhin, Proc. SPIE 10833, 108331C (2018). https://doi.org/10.1117/12.2504096 Vl. V. Voevodin, S. A. Zhumatii, S. I. Sobolev, A. S. Antonov, P. A. Bryzgalov, D. A. Nikitenko, K. S. Stefanov, and V. V. Voevodin, Open Systems (Otkrytye Sistemy, Moscow, 2012). OlverF. W. J.Introduction to Asymptotics and Special Functions1974New YorkAcademic SolovievV. Y.J. Opt. Soc. Am. A20163313232016JOSAA..33.1323S10.1364/josaa.33.001323 AfanasievA. N.J. Atmos. Sol.-Terr. Phys.20056710022005JASTP..67.1002A10.1016/j.jastp.2005.03.001 IlyushinYa. A.BudakV. P.J. Opt. Soc. Am. A20112813582011JOSAA..28.1358I10.1364/josaa.28.001358 G. Bekefi, Radiation Processes in Plasmas, Wiley Series in Plasma Physics (Wiley, New York, 1966). GranatsteinV. L.BuchsbaumS. J.Phys. Fluids19671018511967PhFl...10.1851G10.1063/1.1762373 IlyushinYa. A.J. Opt. Soc. Am. A2022391602022JOSAA..39..160I10.1364/josaa.448372 IlyushinY. A.BudakV. P.J. Opt. Soc. Am. A201128762011JOSAA..28...76I10.1364/josaa.28.000076 IlyushinYa. A.Radiophysics Quantum Electron.2015577302015R&QE...57..730I10.1007/s11141-015-9559-4 FeinsteinD. L.GranatsteinV. L.Phys. Fluids19691226581969PhFl...12.2658F10.1063/1.1692409 Ben-AbdallahP.NiB.J.Quantum Spectrosc. Radiat. Transfer2003784812003JQSRT..78..481B10.1016/S0022-4073(02)00225-X ShendelevaM. L.J. Opt. Soc. Am. A20042124642004OSAJ...21.2464S212519210.1364/josaa.21.002464 VologdinA. G.Prikhod'koL. I.J. Commun. Technol. Electron.2004491141 SmerdS. F.WestfoldK. C.London, Edinburgh, Dublin Philos. Mag. J. Sci.19494083110.1080/14786444908561406 SolovievV. Y.J. Opt. Soc. Am. A2016333832016JOSAA..33..383S10.1364/josaa.33.000383 SanchezR.Ann. Nucl. Energy200027116710.1016/s0306-4549(99)00119-x LemonnierD.Le DezV.J. Quantum Spectrosc. Radiat. Transfer2002731952002JQSRT..73..195L10.1016/s0022-4073(01)00222-9 FeinsteinD. L.ButlerF. E.PiechK. R.LeonardA.Phys. Fluids19721516411972PhFl...15.1641F10.1063/1.1694142 R. Sanchez (8552_CR3) 2000; 27 A. Ishimaru (8552_CR29) 1978 R. W. Ziolkowski (8552_CR20) 2006 V. Y. Soloviev (8552_CR25) 2016; 33 D. L. Feinstein (8552_CR18) 1969; 12 P. Ben-Abdallah (8552_CR22) 2003; 78 E. Akkermans (8552_CR26) 1986; 56 Ya. A. Ilyushin (8552_CR6) 2011; 28 L. E. El'sgol'ts (8552_CR30) 1969 V. P. Budak (8552_CR7) 2010 Y. A. Ilyushin (8552_CR5) 2011; 28 F. W. J. Olver (8552_CR31) 1974 Ya. A. Ilyushin (8552_CR28) 2015; 57 M. V. Fedoryuk (8552_CR32) 1987 K. M. Watson (8552_CR19) 1969; 10 C. E. Siewert (8552_CR1) 1985; 33 Ya. A. Ilyushin (8552_CR27) 2013; 30 M. L. Shendeleva (8552_CR13) 2004; 21 A. G. Vologdin (8552_CR14) 2004; 49 Ya. A. Ilyushin (8552_CR23) 2022; 39 D. L. Feinstein (8552_CR8) 1972; 15 A. N. Afanasiev (8552_CR15) 2005; 67 D. Lemonnier (8552_CR21) 2002; 73 W. S. Helliwell (8552_CR4) 1985; 2 V. Y. Soloviev (8552_CR24) 2016; 33 L. S. Dolin (8552_CR9) 2001; 44 8552_CR16 T. A. Germogenova (8552_CR2) 1986 S. F. Smerd (8552_CR12) 1949; 40 8552_CR11 8552_CR33 V. L. Granatstein (8552_CR17) 1967; 10 Ya. A. Ilyushin (8552_CR10) 1986; 29 |
| References_xml | – reference: ShendelevaM. L.J. Opt. Soc. Am. A20042124642004OSAJ...21.2464S212519210.1364/josaa.21.002464 – reference: AfanasievA. N.J. Atmos. Sol.-Terr. Phys.20056710022005JASTP..67.1002A10.1016/j.jastp.2005.03.001 – reference: El'sgol'tsL. E.Differential Equations and Variational Calculus1969MoscowNauka – reference: SiewertC. E.J. Quantum Spectrosc. Radiat. Transfer1985335511985JQSRT..33..551S10.1016/0022-4073(85)90022-6 – reference: G. Bekefi, Radiation Processes in Plasmas, Wiley Series in Plasma Physics (Wiley, New York, 1966). – reference: SanchezR.Ann. Nucl. Energy200027116710.1016/s0306-4549(99)00119-x – reference: IshimaruA.Wave Propagation and Scattering in Random Media1978New YorkAcademic10.1016/B978-0-12-374701-3.X5001-7 – reference: HelliwellW. S.J. Opt. Soc. Am. A1985213251985OSAJ....2.1325H10.1364/josaa.2.001325 – reference: SolovievV. Y.J. Opt. Soc. Am. A2016333832016JOSAA..33..383S10.1364/josaa.33.000383 – reference: LemonnierD.Le DezV.J. Quantum Spectrosc. Radiat. Transfer2002731952002JQSRT..73..195L10.1016/s0022-4073(01)00222-9 – reference: IlyushinYa. A.J. Opt. Soc. Am. A19862919862012JOSAA..29.1986I10.1364/josaa.29.001986 – reference: GranatsteinV. L.BuchsbaumS. J.Phys. Fluids19671018511967PhFl...10.1851G10.1063/1.1762373 – reference: Ben-AbdallahP.NiB.J.Quantum Spectrosc. Radiat. Transfer2003784812003JQSRT..78..481B10.1016/S0022-4073(02)00225-X – reference: FedoryukM. V.Asymptotics: Integrals and Series1987MoscowNauka – reference: IlyushinYa. A.BudakV. P.J. Opt. Soc. Am. A20112813582011JOSAA..28.1358I10.1364/josaa.28.001358 – reference: IlyushinYa. A.Radiophysics Quantum Electron.2015577302015R&QE...57..730I10.1007/s11141-015-9559-4 – reference: VologdinA. G.Prikhod'koL. I.J. Commun. Technol. Electron.2004491141 – reference: WatsonK. M.J. Math. Phys.1969106881969JMP....10..688W10.1063/1.1664895 – reference: SolovievV. Y.J. Opt. Soc. Am. A20163313232016JOSAA..33.1323S10.1364/josaa.33.001323 – reference: AkkermansE.WolfP. E.MaynardR.Phys. Rev. Lett.19865614711986PhRvL..56.1471A10.1103/physrevlett.56.1471 – reference: SmerdS. F.WestfoldK. C.London, Edinburgh, Dublin Philos. Mag. J. Sci.19494083110.1080/14786444908561406 – reference: GermogenovaT. A.Local Properties of the Solution of the Transfer Equation1986MoscowNauka – reference: FeinsteinD. L.ButlerF. E.PiechK. R.LeonardA.Phys. Fluids19721516411972PhFl...15.1641F10.1063/1.1694142 – reference: FeinsteinD. L.GranatsteinV. L.Phys. Fluids19691226581969PhFl...12.2658F10.1063/1.1692409 – reference: IlyushinYa. A.J. Opt. Soc. Am. A20133013052013JOSAA..30.1305I10.1364/josaa.30.001305 – reference: DolinL. S.SergeevaE. A.Radiophysics Quantum Electron.20014485810.1023/a:1014211813596 – reference: IlyushinYa. A.J. Opt. Soc. Am. A2022391602022JOSAA..39..160I10.1364/josaa.448372 – reference: ZiolkowskiR. W.EnghetaN.Metamaterials: Physics and Engineering Explorations200610.1002/0471784192.ch1 – reference: IlyushinY. A.BudakV. P.J. Opt. Soc. Am. A201128762011JOSAA..28...76I10.1364/josaa.28.000076 – reference: Vl. V. Voevodin, S. A. Zhumatii, S. I. Sobolev, A. S. Antonov, P. A. Bryzgalov, D. A. Nikitenko, K. S. Stefanov, and V. V. Voevodin, Open Systems (Otkrytye Sistemy, Moscow, 2012). – reference: BudakV. P.KlyuykovD. A.KorkinS. V.Springer Praxis BooksLight Scattering Reviews 52010BerlinSpringer10.1007/978-3-642-10336-0_5 – reference: L. I. Prikhodko, I. Shirokov, and A. Padokhin, Proc. SPIE 10833, 108331C (2018). https://doi.org/10.1117/12.2504096 – reference: OlverF. W. J.Introduction to Asymptotics and Special Functions1974New YorkAcademic – volume: 33 start-page: 383 year: 2016 ident: 8552_CR24 publication-title: J. Opt. Soc. Am. A doi: 10.1364/josaa.33.000383 – volume: 10 start-page: 688 year: 1969 ident: 8552_CR19 publication-title: J. Math. Phys. doi: 10.1063/1.1664895 – volume: 30 start-page: 1305 year: 2013 ident: 8552_CR27 publication-title: J. Opt. Soc. Am. A doi: 10.1364/josaa.30.001305 – volume-title: Asymptotics: Integrals and Series year: 1987 ident: 8552_CR32 – volume-title: Light Scattering Reviews 5 year: 2010 ident: 8552_CR7 doi: 10.1007/978-3-642-10336-0_5 – volume: 49 start-page: 1141 year: 2004 ident: 8552_CR14 publication-title: J. Commun. Technol. Electron. – ident: 8552_CR33 – volume: 78 start-page: 481 year: 2003 ident: 8552_CR22 publication-title: J.Quantum Spectrosc. Radiat. Transfer doi: 10.1016/S0022-4073(02)00225-X – volume: 28 start-page: 76 year: 2011 ident: 8552_CR5 publication-title: J. Opt. Soc. Am. A doi: 10.1364/josaa.28.000076 – volume: 15 start-page: 1641 year: 1972 ident: 8552_CR8 publication-title: Phys. Fluids doi: 10.1063/1.1694142 – volume: 10 start-page: 1851 year: 1967 ident: 8552_CR17 publication-title: Phys. Fluids doi: 10.1063/1.1762373 – volume: 2 start-page: 1325 year: 1985 ident: 8552_CR4 publication-title: J. Opt. Soc. Am. A doi: 10.1364/josaa.2.001325 – volume: 73 start-page: 195 year: 2002 ident: 8552_CR21 publication-title: J. Quantum Spectrosc. Radiat. Transfer doi: 10.1016/s0022-4073(01)00222-9 – volume: 39 start-page: 160 year: 2022 ident: 8552_CR23 publication-title: J. Opt. Soc. Am. A doi: 10.1364/josaa.448372 – volume: 40 start-page: 831 year: 1949 ident: 8552_CR12 publication-title: London, Edinburgh, Dublin Philos. Mag. J. Sci. doi: 10.1080/14786444908561406 – volume: 27 start-page: 1167 year: 2000 ident: 8552_CR3 publication-title: Ann. Nucl. Energy doi: 10.1016/s0306-4549(99)00119-x – volume-title: Introduction to Asymptotics and Special Functions year: 1974 ident: 8552_CR31 – volume: 56 start-page: 1471 year: 1986 ident: 8552_CR26 publication-title: Phys. Rev. Lett. doi: 10.1103/physrevlett.56.1471 – volume: 57 start-page: 730 year: 2015 ident: 8552_CR28 publication-title: Radiophysics Quantum Electron. doi: 10.1007/s11141-015-9559-4 – volume-title: Differential Equations and Variational Calculus year: 1969 ident: 8552_CR30 – volume: 44 start-page: 858 year: 2001 ident: 8552_CR9 publication-title: Radiophysics Quantum Electron. doi: 10.1023/a:1014211813596 – volume: 33 start-page: 1323 year: 2016 ident: 8552_CR25 publication-title: J. Opt. Soc. Am. A doi: 10.1364/josaa.33.001323 – volume: 33 start-page: 551 year: 1985 ident: 8552_CR1 publication-title: J. Quantum Spectrosc. Radiat. Transfer doi: 10.1016/0022-4073(85)90022-6 – volume-title: Local Properties of the Solution of the Transfer Equation year: 1986 ident: 8552_CR2 – volume: 21 start-page: 2464 year: 2004 ident: 8552_CR13 publication-title: J. Opt. Soc. Am. A doi: 10.1364/josaa.21.002464 – ident: 8552_CR16 doi: 10.1117/12.2504096 – volume: 12 start-page: 2658 year: 1969 ident: 8552_CR18 publication-title: Phys. Fluids doi: 10.1063/1.1692409 – ident: 8552_CR11 – volume: 67 start-page: 1002 year: 2005 ident: 8552_CR15 publication-title: J. Atmos. Sol.-Terr. Phys. doi: 10.1016/j.jastp.2005.03.001 – volume-title: Metamaterials: Physics and Engineering Explorations year: 2006 ident: 8552_CR20 doi: 10.1002/0471784192.ch1 – volume-title: Wave Propagation and Scattering in Random Media year: 1978 ident: 8552_CR29 doi: 10.1016/B978-0-12-374701-3.X5001-7 – volume: 28 start-page: 1358 year: 2011 ident: 8552_CR6 publication-title: J. Opt. Soc. Am. A doi: 10.1364/josaa.28.001358 – volume: 29 start-page: 1986 year: 1986 ident: 8552_CR10 publication-title: J. Opt. Soc. Am. A doi: 10.1364/josaa.29.001986 |
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| SubjectTerms | Acoustics Asymptotic methods Electronics Mathematical and Computational Physics Physics Physics and Astronomy Radiation sources Radiative transfer Radiophysics Refractivity Statistical models Theoretical |
| Title | Singularities of Diffuse Wave Fields in Scattering Media with Refractive Index Gradients |
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