## Scattering by lossy inhomogeneous apertures in thick metallic screens

JOSA A, Vol. 15, Issue 8, pp. 2089-2096 (1998)

http://dx.doi.org/10.1364/JOSAA.15.002089

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### Abstract

We present a multilayer modal method to investigate electromagnetic scattering from a lossy inhomogeneous aperture in a perfectly conducting thick screen. We consider inhomogeneous apertures that consist of two homogeneous zones filled with different isotropic materials that are characterized by complex refraction indices. The shape of the boundary between adjacent homogeneous zones is rather arbitrary, which makes it possible to model a great number of interesting geometries, such as slanted slabs or wedges. We illustrate the behavior of eigenvalues (solutions of the transcendental equation that has to be solved whenever a modal method is applied) as the imaginary part of the complex refraction index is varied. The method is used to study the electromagnetic response of a thick aperture with a sloping internal border. Calculation of power losses at the aperture walls and curves of scattered intensity versus observation angle are shown for different polarizations of the incident beam.

© 1998 Optical Society of America

**OCIS Codes**

(050.1220) Diffraction and gratings : Apertures

(050.1940) Diffraction and gratings : Diffraction

(290.0290) Scattering : Scattering

**Citation**

Diana C. Skigin and Ricardo A. Depine, "Scattering by lossy inhomogeneous apertures in thick metallic screens," J. Opt. Soc. Am. A **15**, 2089-2096 (1998)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-8-2089

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### References

- M. Kuittinen and J. Turunen, “Exact-eigenmode model for index-modulated apertures,” J. Opt. Soc. Am. A 13, 2014–2020 (1996).
- R. A. Depine and D. C. Skigin, “Multilayer modal method for diffraction from dielectric inhomogeneous apertures,” J. Opt. Soc. Am. A 15, 675–683 (1998).
- G. A. Schiavone, K. O’Neill, and K. D. Paulsen, “Scattering from groove patterns in a perfectly conducting surface,” J. Opt. Soc. Am. A 14, 2212–2222 (1997).
- O. Mata-Mendez and J. Sumaya-Martinez, “Scattering of TE-polarized waves by a finite grating: giant resonant enhancement of the electric field within the grooves,” J. Opt. Soc. Am. A 14, 2203–2211 (1997).
- J. R. Andrewartha, J. R. Fox, and I. J. Wilson, “Resonance anomalies in the lamellar grating,” Opt. Acta 26, 69–89 (1977).
- T. J. Park, H. J. Eom, and K. Yoshitomi, “Analysis of TM scattering from finite rectangular grooves in a conducting plane,” J. Opt. Soc. Am. A 10, 905–911 (1993).
- R. A. Depine and D. C. Skigin, “Scattering from metallic surfaces having a finite number of rectangular grooves,” J. Opt. Soc. Am. A 11, 2844–2850 (1994).
- L. Li, “Multilayer modal method for diffraction gratings of arbitrary profile, depth, and permittivity,” J. Opt. Soc. Am. A 10, 2581–2591 (1993).
- D. C. Skigin and R. A. Depine, “R-matrix method for a surface with one groove of arbitrary profile,” Opt. Commun. 130, 307–316 (1996).
- D. C. Skigin and R. A. Depine, “The multilayer modal method for electromagnetic scattering from surfaces with several arbitrarily shaped grooves,” J. Mod. Opt. 44, 1023–1036 (1997).
- L. Li, “A modal analysis of lamellar diffraction gratings in conical mountings,” J. Mod. Opt. 40, 553–573 (1993).
- L. C. Botten, M. S. Craig, R. C. McPhedran, J. L. Adams, and J. R. Andrewartha, “The finitely conducting lamellar diffraction grating,” Opt. Acta 28, 1087–1102 (1981).
- D. C. Skigin and R. A. Depine, “The R-matrix method applied to the SIBC for diffraction gratings of arbitrary profile,” Optik (Stuttgart) 105, 165–174 (1997).
- H. Lochbihler and R. A. Depine, “Diffraction from highly conducting wire gratings,” Appl. Opt. 32, 3459–3465 (1993).
- S. T. Peng, T. Tamir, and H. L. Bertoni, “Theory of periodic dielectric waveguides,” IEEE Trans. Microwave Theory Tech. MTT-23, 123–133 (1975).
- D. J. Zvijak and J. C. Light, “R-matrix theory for collinear chemical reactions,” Chem. Phys. 12, 237–251 (1976).
- J. C. Light and R. B. Walker, “An R-matrix approach to the solution of coupled equations for atom-molecule reactive scattering,” J. Chem. Phys. 65, 4272–4282 (1976).
- L. C. Botten, M. S. Craig, and R. C. McPhedran, “Highly conducting lamellar diffraction gratings,” Opt. Acta 28, 1103–1106 (1981).
- L. C. Botten, M. S. Craig, and R. C. McPhedran, “Complex zeros of analytic functions,” Comput. Phys. Commun. 29, 245–259 (1983).
- G. Hass, “Mirror coatings,” in Applied Optics and Optical Engineering 3, R. Kingslake, ed. (Academic, New York, 1966), p. 309.
- L. Knockaert, F. Olyslager, and D. De Zutter, “The diaphanous wedge,” IEEE Trans. Antennas Propag. 45, 1374–1381 (1997).
- M. F. Otero and R. G. Rojas, “Two-dimensional Green’s function for a wedge with impedance faces,” IEEE Trans. Antennas Propag. 45, 1799–1809 (1997).
- A. R. Lopez, “Application of wedge diffraction theory to estimating power density at airport humped runways,” IEEE Trans. Antennas Propag. 35, 708–714 (1987).

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