Free Access
Issue |
ESAIM: M2AN
Volume 47, Number 5, September-October 2013
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Page(s) | 1367 - 1386 | |
DOI | https://doi.org/10.1051/m2an/2013073 | |
Published online | 30 July 2013 |
- T. Abboud and H. Ammari, Diffraction at a curved grating: Tm and te cases, homogenization. J. Math. Anal. Appl. 202 (1996) 995–1026. [CrossRef] [MathSciNet] [Google Scholar]
- M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions. Dover Publications (1965). [Google Scholar]
- H. Ammari, An Introduction to Mathematics of Emerging Biomedical Imaging. Springer (2008). [Google Scholar]
- H. Ammari, E. Iakovleva and D. Lesselier, A music algorithm for locating small inclusions buried in a half-space from the scattering amplitude at a fixed frequency. Multiscale Model. Simul. 3 (2005) 597–628. [CrossRef] [Google Scholar]
- H. Ammari and H. Kang. Reconstruction of small inhomogeneities from boundary measurements. Springer Verlag (2004). [Google Scholar]
- T. Arens and T. Hohage, On radiation conditions for rough surface scattering problems. IMA J. Appl. Math. 70 (2005) 839–847. [CrossRef] [Google Scholar]
- G. Bao, Z. Chen and H. Wu, Adaptive finite-element method for diffraction gratings. JOSA A 22 (2005) 1106–1114. [Google Scholar]
- G. Bao, D. Dobson and J. Cox, Mathematical studies in rigorous grating theory. JOSA A 12 (1995) 1029–1042. [Google Scholar]
- J.-B. Bellet, Identification par imagerie laser d’un objet dissimulé - Aspects mathématiques et numériques. Ph.D. thesis, École Polytechnique, Palaiseau (2011). [Google Scholar]
- S. Chandler-Wilde, C. Ross and B. Zhang, Scattering by infinite one-dimensional rough surfaces. Proc. Royal Soc. London. Ser. A : Math. Phys. Engrg. Sci. 455 (1999) 3767–3787. [CrossRef] [Google Scholar]
- W. Chew, Waves and fields in inhomogenous media. IEEE Press (1999). [Google Scholar]
- I. Ciuperca, M. Jai and C. Poignard, Approximate transmission conditions through a rough thin layer. The case of the periodic roughness. Eur. J. Appl. Math. (2009). [Google Scholar]
- J. DeSanto, G. Erdmann, W. Hereman and M. Misra, Theoretical and computational aspects of scattering from periodic surfaces : one-dimensional transmission interface. Waves Random Media 11 (2001) 425–453. [CrossRef] [Google Scholar]
- M. Durán, R. Hein and J.-C. Nédélec, Computing numerically the greens function of the half-plane helmholtz operator with impedance boundary conditions. Numer. Math. 107 (2007) 295–314. [CrossRef] [MathSciNet] [Google Scholar]
- M. Durán, I. Muga and J. Nédélec, The helmholtz equation in a locally perturbed half-space with non-absorbing boundary. Arch. Ration. Mech. Anal. 191 (2009) 143–172. [CrossRef] [Google Scholar]
- T. Gaylord and M. Moharam, Analysis and applications of optical diffraction by gratings. IEEE 73 (1985) 894–937. [CrossRef] [Google Scholar]
- W. C. Gibson, The Method of Moments in Electromagnetics. Chapman and Hall/CRC (2008). [Google Scholar]
- R. Hein, Green’s functions and integral equations for the Laplace and Helmholtz operators in impedance half-spaces. Ph.D. thesis, École Polytechnique, Palaiseau (2010). [Google Scholar]
- C. Jerez-Hanckes and J.-C. Nédélec, Asymptotics for Helmholtz and Maxwell solutions in 3-D open waveguides. Technical report, ETH, Zürich (2010). [Google Scholar]
- L. Li, J. Chandezon, G. Granet and J. Plumey, Rigorous and efficient grating-analysis method made easy for optical engineers. Appl. Optics 38 (1999) 304–313. [Google Scholar]
- J.-C. Nédélec, Acoustic and Electromagnetic Equations. Springer (2001). [Google Scholar]
- E. Popov and M. Nevière, Grating theory: new equations in fourier space leading to fast converging results for tm polarization. JOSA A 17 (2000) 1773–1784. [Google Scholar]
- A. Soubret, Diffusion des ondes électromagnétiques par des milieux et des surfaces aléatoires : étude des effets cohérents dans le champ diffusé. Ph.D. thesis, Université de la Méditerranée – Aix-Marseille II (2001). [Google Scholar]
- Y. Wu and Y. Lu, Analyzing diffraction gratings by a boundary integral equation neumann-to-dirichlet map method. JOSA A 26 (2009) 2444–2451. [CrossRef] [Google Scholar]
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