Fig. 1. Schematic diagram of nanocrystal-doped composite crystal structure and equivalent crystal model. (a) Schematic diagram of nanocrystal-doped composite crystal structure; (b) equivalent crystal model

Fig. 2. Original transmission spectra of composite system and transmission spectra of equivalent crystal under different parameters. (a) ${\epsilon }_{\mathrm{r}}^{\mathrm{A}}=\mathrm{23.0}$, ${\epsilon }_{\mathrm{r}}^{\mathrm{B}}=\mathrm{3.5}$, $w=\mathrm{0.019}\mathrm{\mu }\mathrm{m}$, ${\epsilon }_{\mathrm{r},\mathrm{e}\mathrm{f}\mathrm{f}}^{\mathrm{B}\mathrm{r}}=\mathrm{3.55}$; (b) ${\epsilon }_{\mathrm{r}}^{\mathrm{A}}=\mathrm{12.5}$, ${\epsilon }_{\mathrm{r}}^{\mathrm{B}}=\mathrm{20.0}$, $w=\mathrm{0.019}\mathrm{\mu }\mathrm{m}$, ${\epsilon }_{\mathrm{r},\mathrm{e}\mathrm{f}\mathrm{f}}^{\mathrm{B}\mathrm{r}}=\mathrm{19.94}$

Fig. 3. ${\epsilon }_{\mathrm{r},\mathrm{e}\mathrm{f}\mathrm{f}}^{\mathrm{B}\mathrm{r}}$ and effective dielectric constant computed by transfer-matrix method varying with dielectric constant of nanocrystal

Fig. 4. ${\epsilon }_{\mathrm{r},\mathrm{e}\mathrm{f}\mathrm{f}}^{\mathrm{B}\mathrm{r}}$ and effective dielectric constant computed by transfer-matrix method varying with doping period and side length of nanocrystal. (a) Doping period; (b) side length of nanocrystal

Fig. 5. Wavelength dependence of effective dielectric constant and comparison of transmission spectra. (a)(c) Effective dielectric constant computed by transfer-matrix method varying with wavelength and ${\epsilon }_{\mathrm{r},\mathrm{e}\mathrm{f}\mathrm{f}}^{\mathrm{B}\mathrm{r}}$; (b)(d) comparison between original transmission spectrum and transmission spectrum of equivalent crystal