Abstract
The transmission characters of a narrow slit were an interesting topic for a long time. In this paper, the transmission characters of an air slit carved form a metal film was discussed rigorously. The narrow slit was treated to be a three-layer-waveguide with two complex refractive index claddings. The transmission character eigen equations were derived by solving analytically from Maxwells equations and by matching the boundary conditions at the interfaces. The electromagnetic fields in both sides of the claddings and inside of the air slit were obtained. For a given example, numerical simulations were presented. The field distribution and the longitude phase constants at different wavelengths and with different width of the slits were calculated. Five modes were supported, and one surface Plasmon mode was attributed and four guided modes were attributed from their transmission characters. The p-polarized surface Plasmon mode might play an important role in the extraordinary optical transmission of light through arrayed subwavelength holes.
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