Calculation of Reflection and Transmission Coefficients of Wire Grid

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For more details about the calculation method, please refer to Section 2 through Section 4 of "Transmission and Reflection Characteristics of Slightly Irregular Wire-Grids for Arbitrary Angles of Incidence and Grid Rotation," IEEE Transactions on Antennas and Propagation, vol. 53, no. 1, pp. 250-259, January, 2005.

Wire diameter d [μm]
Wire separation g [μm]
Angle of incidence χ [degree]
Grid rotation angle φg [degree]
Resistivity of the Wire [Ωm] (5.5e-8 for Tungsten) [Resistivity should be larger than 0.]

Parameters for Numerical Integration a and N:

a and N are parameters determining the range and the number of divison of numerical integration. The larger the values of a and N, the more accurate the calculation results are, at the cost of long calculation time.
For calculations of wire-grid with d = 10 μm and g = 25 μm for frequency range between 300 GHz and 1000 GHz, the values a=800 and N=3000 are sufficient. Optimum values could be determined by trial and errors by changing these parameters.

Incident wave polarization
  • TM: Electric field parallel to the grid wire
  • TE: Electric field perpendicular to the grid wire

Start Frequency [GHz]
End Frequency [GHz]
Frequency Step [GHz]

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Last updated on March 29, 2005 by Takeshi MANABE, National Institute of Information and Communications Technology (presently with Osaka Prefecture University, Osaka, Japan.)