Scalar plane wave scattering from a thin film with two-dimensional fluctuationFootnote∗∗

∗∗ Part of this paper was presented at the 2006 Progress in Electromagnetics Research Symposium [Citation1].

References

• Tamura , Y. and Nakayama , J. 2006 . Wave reflection and transmission from a two-dimensional random slab 276 PIERS2006-Tokyo Progress in Electromagnetics Research Symposium Abstracts
   Google Scholar
• Yoshida , S. and Yajima , H. 1994 . Optical Thin Films and Devices (University of Tokyo) (in Japanese)
   Google Scholar
• Brown , G. H. and Wolken , J. J. 1979 . Liquid Crystals and Biological Structures , New York : Academic Press .
   Google Scholar
• Wu , C. H. , Jacob , C. , Ning , X. J. , Nishino , S. and Pirouz , P. 1996 . Epitaxial growth of 3C-SiC on Si(111) from hexamethyldisilane . Journal of Crystal Growth , 158 : 480 – 490 .
   Web of Science ®Google Scholar
• Oton , C. J. , Gaburro , Z. , Ghulinyan , M. , Pancheri , L. , Bettotti , P. , Dan Negro , L. and Pavesi , L. 2002 . Scattering rings in optically anisotropic porous silicon . Applied Physics Letters , 81 : 4919 – 4921 .
   Google Scholar
• Ishimaru , A. 1978 . Wave Propagation and Scattering in Random Media, vols. 1 and 2 , New York : Academic Press .
   Google Scholar
• Gavrilenko , V. G. , Aistov , A. V. and Jandieri , G. V. 2000 . Some peculiarities of wave multiple scattering in a statistically anisotropic medium . Waves in Random and Complex Media , 10 : 435 – 445 .
   Google Scholar
• Tinin , M. V. , Kim , B.-C. and Kolesnik , S. N. 2005 . Single scattering of waves by random strong anisotropic inhomogeneities . Waves in Random and Complex Media , 15 : 61 – 70 .
   Web of Science ®Google Scholar
• Kassam , S. , Duparre , A. , Hehl , K. , Bussemer , P. and Meubert , J. 1992 . Light scattering from the volume of optical thin films: Theory and experiment . Applied Optics , 31 : 1304 – 1331 .
   PubMed Web of Science ®Google Scholar
• Bussemer , P. , Hehl , K. and Kassam , S. 1991 . Theory of light scattering from rough surfaces and interfaces and from volume inhomogeneities in an optical layer stack . Waves in Random and Complex Media , 1 : 207 – 221 .
   Google Scholar
• Dalton , T. J. , Conner , W. T. and Sawin , H. 1994 . Interferometric real-time measurement of uniformity for plasma etching . J. Electrochem. , 141 : 1897 – 1900 .
   Web of Science ®Google Scholar
• Tatarski , V. I. 1971 . The Effects of Turbulent Atmosphere on Wave Propagation , Jerusalem : IPST .
   Google Scholar
• Sobczyk , K. 1985 . Fundamental Studies In Engineering, vol. 6: Stochastic Wave Propagation , Amsterdam : Elsevier .
   Google Scholar
• Freilikher , V. , Pustilnik , M. , Yurkevich , I. and Maradudin , A. A. 1994 . Wave scattering from a thin film with volume disorder:reflection and transmission . Optics Communications , 110 : 263 – 268 .
   Web of Science ®Google Scholar
• Tsang , L. and Kong , J. A. 2001 . Scattering of Electromagnetic Waves – Advanced Topics , New York : John Wiley .
   Google Scholar
• Ogura , H. 1975 . Theory of waves in a homogeneous random medium . Physical Review A , 11 : 942 – 956 .
   Web of Science ®Google Scholar
• Ogura , H. and Nakayama , J. 1975 . Initial-value problem of the one-dimensional wave propagation in a homogeneous random medium . Physical Review A , 11 : 957 – 962 .
   Web of Science ®Google Scholar
• Lan , G. and Nakayama , J. 1996 . Scattering of a plane wave from a thin film with volume disorder . IEICE Transactions on Electronics , E79-C : 1327 – 1333 .
   Google Scholar
• Tamura , Y. and Nakayama , J. 2004 . Wave reflection and transmission from a thin film with one-dimensional disorder . Waves in Random and Complex Media , 14 : 435 – 465 .
   Google Scholar
• Tamura , Y. and Nakayama , J. 2005 . Enhanced scattering from a thin film with one-dimensional disorder . Waves in Random and Complex Media , 15 : 269 – 295 .
   Web of Science ®Google Scholar
• Tamura , Y. and Nakayama , J. 2005 . TE plane wave reflection and transmission from a one-dimensional random slab . IEICE Transactions on Electronics , E88-C : 713 – 720 .
   Google Scholar
• Sugiyama , S. , Tamura , Y. and Nakayama , J. 2007 . TM plane wave reflection and transmission from a thin film with one-dimensional fluctuation . IEICE Transactions on Electronics , J90-C : 246 – 255 . (in Japanese)
   Google Scholar
• Nakayama , J. , Ogura , H. and Matsumoto , B. 1980 . A probabilistic theory of scattering from a random rough surface . Radio Science , 15 : 1049 – 1057 .
   Web of Science ®Google Scholar
• Ogura , H. and Takahashi , N. 1996 . Scattering, radiation and propagation over two-dimensional random surface—Stochastic functional approach . Progress In Electromagnetics Research (PIER) , 14 : 89 – 189 .
   Google Scholar
• Tamura , Y. and Nakayama , J. 1999 . Mass operator for wave scattering from a slightly random surface . Waves in Random and Complex Media , 9 : 341 – 368 .
   Google Scholar
• Felsen , L. B. and Marcuvitz , N. 1973 . Radiation and Scattering of Waves , Englewood Cliffs : Prentice Hall .
   Google Scholar
• Kawanishi , T. , Ogura , H. and Wang , Z. L. 1997 . Scattering of an electromagnetic wave from a slightly random dielectric surface: Yoneda peak and Brewster angle in incoherent scattering . Waves in Random and Complex Media , 7 : 351 – 384 .
   Google Scholar
• Ogura , H. 1978 . Theory of Stochastic Process , Tokyo : Corona . (in Japanese)
   Google Scholar
• Abramowitz , M. and Stegun , I. A. 1965 . Handbook of Mathematical Functions , New York : Dover .
   Google Scholar
• Nakayama , J. , Ogura , H. and Sakata , M. 1981 . Scattering of a scalar wave from a slightly random surface . Journal of Mathematical Physics , 22 : 471 – 477 .
   Web of Science ®Google Scholar
• Nakayama , J. , Ogura , H. and Sakata , M. 1981 . A probabilistic theory of electromagnetic scattering from a random rough surface 1: Horizontal polarization . Radio Science , 16 : 831 – 847 .
   Web of Science ®Google Scholar
• Nakayama , J. , Ogura , H. and Sakata , M. 1981 . A probabilistic theory of electromagnetic scattering from a random rough surface 2: Vertical polarization . Radio Science , 16 : 847 – 853 .
   Web of Science ®Google Scholar
• Nakayama , J. 1982 . Anomalous scattering from a slightly random surface . Radio Science , 17 : 558 – 564 .
   Web of Science ®Google Scholar
• Yoneda , Y. 1963 . Anomalous surface reflection of X rays . Physical Review A , 131 : 2010 – 2013 .
   Google Scholar
• Born , M. and Wolf , E. 1970 . Principles of Optics, , 4th edn , Oxford : Pergamon Press .
   Google Scholar
• Nakayama , J. , Ogura , H. and Hasegawa , S. 1981 . Reflection and transmission by a three-dimensional random thin film . Tech. Rep., IEE Japan , EMT81-57 : 1 – 10 . (in Japanese)
   Google Scholar
• Rice , S. O. 1951 . Reflection of electromagnetic waves from slightly random surfaces . Communications on Pure and Applied Mathematics , 4 : 351 – 378 .
   Web of Science ®Google Scholar
• McGurn , A. R. , Maradudin , A. A. and Celli , V. 1985 . Localization effects in the light scattering from a randomly rough grating . Physics Review B , 31 : 4866 – 4871 .
   PubMed Web of Science ®Google Scholar
• McGurn , A. R. and Maradudin , A. A. 1989 . An analogue of enhanced backscattering in the transmission of light through a thin film with a randomly rough surface . Optics Communications , 72 : 279 – 285 .
   Web of Science ®Google Scholar
• Sanchez-Gil , J. A. , Maradudin , A. A. , Lu , J. Q. , Freilikher , V. , Pustilnik , M. and Yurkevich , I. 1994 . Scattering of electromagnetic waves from a bounded medium with a random surface . Physics Review B , 50 : 15353 – 15368 .
   Web of Science ®Google Scholar
• Wang , Z. L. , Ogura , H. and Takahashi , N. 1995 . Enhanced scattering from a planar waveguide structure with a slightly rough boundary . Physics Review B , 52 : 6027 – 6041 .
   Web of Science ®Google Scholar
• Kawanishi , T. , Ogura , H. and Wang , Z. L. 1997 . Scattering of an electromagnetic wave from a planar waveguide structure with a slightly 2D random surface . Waves in Random and Complex Media , 7 : 35 – 64 .
   Google Scholar
• Soubret , A. , Berginc , G. and Bourrely , C. 2001 . Application of reduced Rayleigh equations to electromagnetic wave scattering by two-dimensional randomly rough surfaces . Physics Review B , 63 : 1 – 20 . 245411
   Google Scholar