5 August 1998 Vector algorithm for light transmission in subwavelength microstructure film
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Abstract
This paper put forward the conception of Sub-wavelength Micro-structure Film (SMF) firstly. The light transmission in multi-step SMF is then treated using vector theory. Eigen functions are expressed conveniently by piece-wise elementary functions instead of infinite series, making it both fast and accurate in solving eigen equations. Matrixes of mode conversion, reflection coefficients and transmission coefficients are introduced to obtain the electromagnetic wave amplitude matrix in each layer. A fast and steady recurrent formula to calculate the amplitude coefficient matrix is obtained by matching the modes. Rates of transmission and reflection of all the diffraction orders are therefore obtained for incident light wave of arbitrary polarization. The amounts of computer calculation are drastically decreased by using the method based on this paper. The program is steady and reliable and is implementable on PC. And, the program can treat the light transmission in multi-step SMF fast. Therefore, a fast, accurate, steady and simple algorithm is provided to design SMF elements with various particular properties.
© (1998) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Zhiheng Wang, Kexiang Fu, Qizhi Zhang, Dayue Zhang, Jun Wen, "Vector algorithm for light transmission in subwavelength microstructure film", Proc. SPIE 3557, Current Developments in Optical Elements and Manufacturing, (5 August 1998); doi: 10.1117/12.318283; https://doi.org/10.1117/12.318283
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