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Determination of the index profile of a dielectric plate from scattering data

  • Part I : Fifteen Review Lectures on Applied Inverse Problems
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Applied Inverse Problems

Part of the book series: Lecture Notes in Physics ((LNP,volume 85))

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Abstract

This paper presents a numerical method which has been tried on an optical device, in order to get information on a dielectric inhomogeneous medium from scattering data. We start from an integral form of the scattering equation, and use a perturbation technique. We show that under certains conditions, it is possible to determine the permittivity profile of all physical mediums.

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References

  1. : Electromagnetic grating theories: limitations and successes. R. PETIT. Nouv. Rev. Optique, 1975, t. 6, n° 3, pp 129–135.

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  2. : Sur la diffraction d'une onde plane par un cylindre diélectrique. P. VINCENT et R. PETIT. Optics Com. Vol. 5, n° 4 (1972).

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  3. : Diffraction d'une onde électromagnétique plane par un objet cylindrique non infiniment conducteur de section arbitraire. D. MAYSTRE et P. VINCENT. Optics Com. Vol. 5, n° 5 (1972).

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  4. : TIKHONOV (A)-ARSENINE (V). Méthodes de résolution de problèmes mal posés. Editions de Moscou (1976).

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  5. : On a problem of inverse scattering in optics: the dielectric inhomogeneous medium. A. Roger, D. Maystre, M. Cadilhac. J. Optics (Paris), 1978, vol. 9, n° 1, pp 27–35.

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Pierre C. Sabatier

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© 1978 Springer-Verlag

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Roger, A. (1978). Determination of the index profile of a dielectric plate from scattering data. In: Sabatier, P.C. (eds) Applied Inverse Problems. Lecture Notes in Physics, vol 85. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-09094-0_80

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  • DOI: https://doi.org/10.1007/3-540-09094-0_80

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09094-6

  • Online ISBN: 978-3-540-35594-6

  • eBook Packages: Springer Book Archive

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