The Physics Society of Iran Iranian Journal of Physics Research 1682-6957 7 3 2019 11 26 Determination of distribution function of refraction index and anion diffusion depth in porous alumina photonic crystals Determination of distribution function of refraction index and anion diffusion depth in porous alumina photonic crystals 181 187 583 FA H. Kaviani A. Ramazani M. Almasi Kashi Journal Article 2019 11 26   Band structure of porous alumina photonic crystal in the Γ X direction was calculated using order-N method . In a comparison of calculated results with experimental data of reflective and absorptive index, the variation of refractive index of alumina in the external region of oxide layer, around the pores were studied. A Gaussian distribution function was adopted for phosphate anions in the external oxide layer and the variation of refractive index and diffusion depth were determined. The structure of the first four bands was calculated using the obtained distribution of refractive index in the external oxide layer for both TE and TM mode. This results show a narrow full band gap in the TM mode.   Band structure of porous alumina photonic crystal in the Γ X direction was calculated using order-N method . In a comparison of calculated results with experimental data of reflective and absorptive index, the variation of refractive index of alumina in the external region of oxide layer, around the pores were studied. A Gaussian distribution function was adopted for phosphate anions in the external oxide layer and the variation of refractive index and diffusion depth were determined. The structure of the first four bands was calculated using the obtained distribution of refractive index in the external oxide layer for both TE and TM mode. This results show a narrow full band gap in the TM mode. https://ijpr.iut.ac.ir/article_583_9ad6aaed513b73148b7d49f70afcfb32.pdf