Abstract
The spatial structure of light waves of the electric type in a cone with perfectly reflecting metal walls is studied. Exact formulas defining dependences of energy densities of various field components inside the cone on the radial coordinate and polar angle are presented. Simple asymptotic expressions for the field components are derived. They are applicable when the distances from the cone vertex significantly exceed the wavelength of the light wave. The behavior of the field near the vertex as a function of its taper angle and the wavelength of the light wave for the fundamental electric-type mode is studied in detail. A theoretical approach for the quantitative description of wave reflection at the interface of the truncated cone and free space is proposed. The reflection effects of light waves in a truncated cone at the exit aperture of the subwavelength cross section are calculated on the basis of this approach. Particular attention has been concentrated on calculations and analysis of the dependences of the transmission coefficient of the truncated cone on the wavelength and geometric parameters of the system. The results obtained cover the spectral region from 400 nm up to 1000 nm and a wide range of cone taper angles and exit aperture diameters up to about 1/20 of the wavelength. The possibility of obtaining a high coefficient of light transmission in a metallized truncated cone is theoretically demonstrated.
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Kuznetsova, T.I., Lebedev, V.S. Transmission of Electric-Type Waves Through a Subwavelength-Sized Exit Hole of a Metallized Cone. Journal of Russian Laser Research 24, 458–496 (2003). https://doi.org/10.1023/A:1025724226569
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DOI: https://doi.org/10.1023/A:1025724226569