Numerical reconstruction for dispersionless refractive profiles

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 2, Issue 11, 1985, Pages 1931-1936

  Jaggard, D L ^a   Olson, K E ^b,c,d  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

^b MITRE CORPORATION   (United States)

^c Tau Beta Pi ^*  (United States)

^d Inst of Elec and Electronics Eng   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000757881     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.2.001931     Document Type: Article

References (16)

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2. V. A. Marchenko, "Reconstruction of the potential energy from the phase of scattered waves," Dokl. Akad. Nauk SSR 104, 695-698 (1955).
3. I. Kay, "The inverse scattering problem," Res. Rep. No. EM-74 (New York University, New York, N.Y., 1955).
4. H. E. Moses and C. M. deRidder, "Properties of dielectrics from reflection coefficients," Tech. Rep. 322 (MIT Lincoln Laboratory, Lexington, Mass., 1963).
5. O. Hald, "Numerical solution of the Gel'fand-Levitan equation," Linear Alg. Its Appl. 28, 99-111 (1979).
6. S. Coen, "Inverse scattering of a layered and dispersionless dielectric half-space, part I: reflection data from plane waves at normal incidence," IEEE Trans. Antennas Propag. AP-29, 726-732 (1981).
7. K. R. Pechenick and J. M. Cohen, "Inverse scattering-exact solution of the Gel'fand-Levitan equation," J. Math. Phys. 22, 1513-1516 (1981).
8. G. N. Balanis, "Inverse Scattering: determination of inhomogeneities in sound speed," J. Math. Phys. 23, 2362-2568 (1982).
9. This is obtained from Eq. (2.8) G. N. Balanis, "Inverse Scattering: determination of inhomogeneities in sound speed," J. Math. Phys. 23, 2362-2568 (1982). with a change of variables and subsequent reordering.
10. This is found by combining Eqs. (3.5) and (3.8) G. N. Balanis, "Inverse Scattering: determination of inhomogeneities in sound speed," J. Math. Phys. 23, 2362-2568 (1982).
11. Here ΔK indicates the difference between the kernel function at any point and its value at an adjacent lattice point.
12. H. N. Kritikos, D. L. Jaggard, and D. B. Ge, "Numerical reconstruction of smooth dielectric profiles," Proc. IEEE 70, 295-297 (1982).
13. J. A. Ware and K. Aki, "Continuous and discrete inverse scattering problems in a stratified elastic medium: I-plane waves at normal incidence," J. Acoust. Soc. Am. 45, 911-921 (1969).
14. A. K. Jordan, "Applications of the Gel'fand-Levitan theory to profiles with bandpass characteristics," Ph.D. dissertation (University of Pennsylvania, Philadelphia, Pa., 1972).
15. P. B. Abraham and H. E. Moses, "Exact solutions of the onedimensional acoustic wave equations for several new velocity profiles: transmission and reflection coefficients," J. Acoust. Soc. Am. 71, 1391-1399 (1982).
16. D. L. Jaggard and P. Frangos, "The inverse scattering problem for layered dispersionless media with incomplete and imprecise data," submitted to IEEE Trans. Antennas Propag.