메뉴 건너뛰기




Volumn 30, Issue 3, 2013, Pages 293-299

Numerical solution of an inverse diffraction grating problem from phaseless data

Author keywords

[No Author keywords available]

Indexed keywords

DIFFRACTION; FOURIER ANALYSIS; INVERSE PROBLEMS; ITERATIVE METHODS; NUMERICAL METHODS; PERIODIC STRUCTURES;

EID: 84875487625     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.30.000293     Document Type: Article
Times cited : (96)

References (30)
  • 3
    • 0029304592 scopus 로고
    • Mathematical studies in rigorous grating theory
    • G. Bao, D. Dobson, and J. A. Cox, "Mathematical studies in rigorous grating theory," J. Opt. Soc. Am. A 12, 1029-1042 (1995).
    • (1995) J. Opt. Soc. Am. A , vol.12 , pp. 1029-1042
    • Bao, G.1    Dobson, D.2    Cox, J.A.3
  • 4
    • 0027610033 scopus 로고
    • Numerical solution of diffraction probems: A method of variation of boundaries
    • O. Bruno and F. Reitich, "Numerical solution of diffraction probems: a method of variation of boundaries," J. Opt. Soc. Am. A 10, 1168-1175 (1993).
    • (1993) J. Opt. Soc. Am. A , vol.10 , pp. 1168-1175
    • Bruno, O.1    Reitich, F.2
  • 5
    • 3142769712 scopus 로고    scopus 로고
    • An adaptive finite element method with perfectly matched absorbing layers for the wave scattering by periodic structures
    • Z. Chen and H. Wu, "An adaptive finite element method with perfectly matched absorbing layers for the wave scattering by periodic structures," SIAM J. Numer. Anal. 41, 799-826 (2003).
    • (2003) SIAM J. Numer. Anal. , vol.41 , pp. 799-826
    • Chen, Z.1    Wu, H.2
  • 6
    • 0000502908 scopus 로고
    • Integral equation methods in a quasi-periodic diffraction problem for the time-harmonic Maxwell's equations
    • J. C. Nédélec and F. Starling, "Integral equation methods in a quasi-periodic diffraction problem for the time-harmonic Maxwell's equations," SIAM J. Math. Anal. 22, 1679-1701 (1991).
    • (1991) SIAM J. Math. Anal. , vol.22 , pp. 1679-1701
    • Nédélec, J.C.1    Starling, F.2
  • 7
    • 0001136150 scopus 로고
    • Optimal design of periodic antireflective structures for the Helmholtz equation
    • D. Dobson, "Optimal design of periodic antireflective structures for the Helmholtz equation," Eur. J. Appl. Math.4, 321-340 (1993).
    • (1993) Eur. J. Appl. Math , vol.4 , pp. 321-340
    • Dobson, D.1
  • 8
    • 0032675274 scopus 로고    scopus 로고
    • Optimal shape design of blazed diffraction grating
    • D. Dobson, "Optimal shape design of blazed diffraction grating," Appl. Math. Optim. 40, 61-78 (1999).
    • (1999) Appl. Math. Optim. , vol.40 , pp. 61-78
    • Dobson, D.1
  • 9
    • 0032164329 scopus 로고    scopus 로고
    • Diffraction in periodic structures and optimal design of binary gratings: I. Direct problems and gradient formulas
    • J. Elschner and G. Schmidt, "Diffraction in periodic structures and optimal design of binary gratings: I. direct problems and gradient formulas," Math. Methods Appl. Sci. 21, 1297-1342 (1998).
    • (1998) Math. Methods Appl. Sci. , vol.21 , pp. 1297-1342
    • Elschner, J.1    Schmidt, G.2
  • 10
    • 0032209646 scopus 로고    scopus 로고
    • Numerical solution of optimal design problems for binary gratings
    • J. Elschner and G. Schmidt, "Numerical solution of optimal design problems for binary gratings," J. Comput. Phys. 146, 603-626 (1998).
    • (1998) J. Comput. Phys. , vol.146 , pp. 603-626
    • Elschner, J.1    Schmidt, G.2
  • 11
    • 0001554382 scopus 로고
    • Uniqueness theorems for an inverse problem in a doubly periodic structure
    • H. Ammari, "Uniqueness theorems for an inverse problem in a doubly periodic structure," Inverse Probl. 11, 823-833 (1995).
    • (1995) Inverse Probl , vol.11 , pp. 823-833
    • Ammari, H.1
  • 12
    • 0000772119 scopus 로고
    • A uniqueness theorem for an inverse problem in periodic diffractive optics
    • G. Bao, "A uniqueness theorem for an inverse problem in periodic diffractive optics," Inverse Probl. 10, 335-340 (1994).
    • (1994) Inverse Probl. , vol.10 , pp. 335-340
    • Bao, G.1
  • 13
    • 21844509885 scopus 로고
    • Inverse problems for scattering by periodic structure
    • G. Bao and A. Friedman, "Inverse problems for scattering by periodic structure," Arch. Ration. Mech. Anal. 132, 49-72 (1995).
    • (1995) Arch. Ration. Mech. Anal. , vol.132 , pp. 49-72
    • Bao, G.1    Friedman, A.2
  • 14
    • 79959522613 scopus 로고    scopus 로고
    • Unique determination of periodic polyhedral structures by scattered electromagnetic fields
    • G. Bao, H. Zhang, and J. Zou, "Unique determination of periodic polyhedral structures by scattered electromagnetic fields," Trans. Am. Math. Soc. 363, 4527-4551 (2011).
    • (2011) Trans. Am. Math. Soc. , vol.363 , pp. 4527-4551
    • Bao, G.1    Zhang, H.2    Zou, J.3
  • 15
    • 22444454176 scopus 로고    scopus 로고
    • An inverse problem for scattering by a doubly periodic structure
    • G. Bao and Z. Zhou, "An inverse problem for scattering by a doubly periodic structure," Trans. Am. Math. Soc. 350, 4089-4103 (1998).
    • (1998) Trans. Am. Math. Soc. , vol.350 , pp. 4089-4103
    • Bao, G.1    Zhou, Z.2
  • 16
    • 0036537855 scopus 로고    scopus 로고
    • Inverse problems of diffractive optics: Conditional stability
    • G. Bruckner, J. Cheng, and M. Yamamoto, "Inverse problems of diffractive optics: conditional stability," Inverse Probl. 18, 415-433 (2002).
    • (2002) Inverse Probl , vol.18 , pp. 415-433
    • Bruckner, G.1    Cheng, J.2    Yamamoto, M.3
  • 17
    • 0001296977 scopus 로고    scopus 로고
    • Schiffer's theorem in inverse scattering for periodic structures
    • F. Hettlich and A. Kirsch, "Schiffer's theorem in inverse scattering for periodic structures," Inverse Probl. 13, 351-361 (1997).
    • (1997) Inverse Probl , vol.13 , pp. 351-361
    • Hettlich, F.1    Kirsch, A.2
  • 18
    • 0000772118 scopus 로고
    • Uniqueness theorems in inverse scattering theory for periodic structures
    • A. Kirsch, "Uniqueness theorems in inverse scattering theory for periodic structures," Inverse Probl. 10, 145-152 (1994).
    • (1994) Inverse Probl , vol.10 , pp. 145-152
    • Kirsch, A.1
  • 20
    • 84975553073 scopus 로고
    • Near-field optics inversescattering reconstruction of reflective surfaces
    • N. Garca and M. Nieto-Vesperinas, "Near-field optics inversescattering reconstruction of reflective surfaces," Opt. Lett. 18, 2090-2092 (1993).
    • (1993) Opt. Lett. , vol.18 , pp. 2090-2092
    • Garca, N.1    Nieto-Vesperinas, M.2
  • 21
    • 0000128521 scopus 로고    scopus 로고
    • A high-order perturbation approach to profile reconstruction: I. Perfectly conducting gratings
    • K. Ito and F. Reitich, "A high-order perturbation approach to profile reconstruction: I. perfectly conducting gratings," Inverse Probl. 15, 1067-1085 (1999).
    • (1999) Inverse Probl. , vol.15 , pp. 1067-1085
    • Ito, K.1    Reitich, F.2
  • 22
    • 0142062411 scopus 로고    scopus 로고
    • The factorization method in inverse scattering from periodic structures
    • T. Arens and A. Kirsch, "The factorization method in inverse scattering from periodic structures," Inverse Probl. 19, 1195-1211 (2003).
    • (2003) Inverse Probl , vol.19 , pp. 1195-1211
    • Arens, T.1    Kirsch, A.2
  • 23
    • 0036608353 scopus 로고    scopus 로고
    • Iterative regularization schemes in inverse scattering by periodic structures
    • F. Hettlich, "Iterative regularization schemes in inverse scattering by periodic structures," Inverse Probl. 18, 701-714 (2002).
    • (2002) Inverse Probl , vol.18 , pp. 701-714
    • Hettlich, F.1
  • 24
    • 0037390635 scopus 로고    scopus 로고
    • A two-step algorithm for the reconstruction of perfectly reflecting periodic profiles
    • G. Bruckner and J. Elschner, "A two-step algorithm for the reconstruction of perfectly reflecting periodic profiles," Inverse Probl. 19, 315-329 (2003).
    • (2003) Inverse Probl. , vol.19 , pp. 315-329
    • Bruckner, G.1    Elschner, J.2
  • 25
    • 2542495082 scopus 로고    scopus 로고
    • Grating profile reconstruction based on finite elements and optimization techniques
    • J. Elschner, G. Hsiao, and A. Rathsfeld, "Grating profile reconstruction based on finite elements and optimization techniques," SIAM J. Appl. Math. 64, 525-545 (2003).
    • (2003) SIAM J. Appl. Math. , vol.64 , pp. 525-545
    • Elschner, J.1    Hsiao, G.2    Rathsfeld, A.3
  • 26
    • 84859241769 scopus 로고    scopus 로고
    • A computational inverse diffraction grating problem
    • G. Bao, P. Li, and H. Wu, "A computational inverse diffraction grating problem," J. Opt. Soc. Am. A 29, 394-399 (2012).
    • (2012) J. Opt. Soc. Am. A , vol.29 , pp. 394-399
    • Bao, G.1    Li, P.2    Wu, H.3
  • 27
    • 84871727944 scopus 로고    scopus 로고
    • Numerical solution of the inverse source problem for the Helmholtz equation with multiple frequency data
    • Contemporary Mathematics (AMS)
    • G. Bao, J. Lin, and F. Triki, "Numerical solution of the inverse source problem for the Helmholtz equation with multiple frequency data," in Mathematical and Statistical Methods for Imaging, Vol. 548 of Contemporary Mathematics (AMS, 2011), pp. 45-60.
    • (2011) Mathematical and Statistical Methods for Imaging , vol.548 , pp. 45-60
    • Bao, G.1    Lin, J.2    Triki, F.3
  • 28
    • 0002351315 scopus 로고
    • Diffraction by periodic structure
    • Lecture Notes in Physics (Springer)
    • A. Kirsch, "Diffraction by periodic structure," in Inverse Problems in Mathematical Physics (Saariselkä, 1992), Vol. 422 of Lecture Notes in Physics (Springer, 1993), pp. 87-102.
    • (1993) Inverse Problems in Mathematical Physics (Saariselkä,1992) , vol.422 , pp. 87-102
    • Kirsch, A.1
  • 30
    • 0032183221 scopus 로고    scopus 로고
    • Theoretical and computational aspects of scattering from rough surfaces: One-dimensional perfectly reflecting surface
    • J. Desanto, G. Erdmann, W. Herman, and M. Misra, "Theoretical and computational aspects of scattering from rough surfaces: one-dimensional perfectly reflecting surface," Waves Random Media 8, 385-414 (1998).
    • (1998) Waves Random Media , vol.8 , pp. 385-414
    • Desanto, J.1    Erdmann, G.2    Herman, W.3    Misra, M.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.