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T-matrix analysis of electromagnetic wave differaction from a Fourier grating

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Abstract

This paper is described for T-matrix analysis of the electromagnetic wave diffraction from a Fourier grating that the boundary value problem is treated by applying the extended boundary condition. The rigorous form of the expression of matrix elements is presented in the term of Bessel functions of the first kind. The error of power conservation versus the truncated number has been examined for mode number. Diffraction efficiencies versus groove depth and wavelength for a second or third harmonic wave of Fourier grating have been discussed. Numerical results are in good agreement with those obtained from other method and experimental values. Reasonable numerical results are presented for a groove depth per period of the Fourier grating less than 0.25.

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References

  1. Waterman P. C.: “Scattering of waves from periodic surfaces,” J. Acoust. Soc. Am. Vol.57, No.4, pp. 791–802 (April 1975).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  2. Chuang S.L. and Kong J.A.: “Scattering of waves from periodic surfaces,” Proc. IEEE, Vol.69, No.9, pp. 1132–1144 (Sep. 1981).

    Article  ADS  Google Scholar 

  3. Nakata Y. and Koshiba M.: “Boundary-element analysis of plane-wave diffraction from groove-type dielectric and metallic gratings,” J. Opt. Soc. Am. A, Vol.7, No.8, pp. 1494–1502 (August 1990).

    ADS  Google Scholar 

  4. Okuno Y. and Matsuda T.: “Efficient technique for the numerical solution of diffraction by a Fourier grating,” J. Opt. Soc. Am. A, Vol.4, No.3, pp. 465–472 (March 1987).

    ADS  Google Scholar 

  5. Matsuda T. and Okuno Y.: “Computer-aided algorithm based on the Yasuura method for analysis of diffraction by a grating,” J. Opt. Soc. Am. A, Vol.7, No.9, pp. 1693–1700 (Sept. 1990).

    ADS  Google Scholar 

  6. Matsuda T. and Okuno Y.: “Diffraction efficiency of Fourier grating,” IEICE of Japan, Tech. Rept. A P88-105, pp. 37–42 (Jan. 1989).

  7. Bliek P., Deleuil R., Breidne M. and Maystre D.: “Microwave verification of numerical optimization of Fourier gratings,” Appl. Phys. Vol.24, pp. 147–150 (March 1981).

    Article  ADS  Google Scholar 

  8. Yasuura K. and Okuno Y.: “Numerical method for calculating surface current density on a two-dimensional scatterer with smooth contour,” IEEE Trans. Antennas and Propagat., Vol.AP-33, No.12, pp. 1369–1378 (Dec. 1985).

    Article  ADS  Google Scholar 

  9. Iida M., Hagiwara K. and Asakura H.: “Holographic Fourier diffraction gratings with a high diffraction efficiency optimized for optical communication systems,” Applied Optics, Vol.31, No.16, pp.3015–3019 (Jun. 1992).

    Article  ADS  Google Scholar 

  10. Kurihara T., Ohki M. and Kozaki S.: “Numerical analysis diffraction power from a Fourier grating by using the extended-boundary-condition method,” Trans. IEICE of Japan, Vol.J76-C-I, No.8, pp. 313–316 (August 1993).

    Google Scholar 

  11. Ohki M., Kurihara T. and Kozaki S.: “Analysis of electromagnetic wave diffraction from a metallic Fourier grating by using the T-matrix method,” Trans. J. Electro. Waves Applic., Vol. 11, pp. 1257–1272 (1997)(to be published).

    Google Scholar 

  12. Kong J. A.: “Electromagnetic wave theory,” John Wiley & Sons, pp. 499–507, New York (1986).

    Google Scholar 

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Ohki, M., Sakurai, H. & Kozaki, S. T-matrix analysis of electromagnetic wave differaction from a Fourier grating. Int J Infrared Milli Waves 18, 2031–2045 (1997). https://doi.org/10.1007/BF02678361

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  • DOI: https://doi.org/10.1007/BF02678361

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