Fitting-based determination of an effective medium of a metallic periodic structure and application to photonic crystals

Wavelengths ${\lambda }_{\mathrm{FIT}}$ at Which the Deviation of reflectances between RCWA and the Fitting-based EMT for TE Polarization Is Equal to 1%, As the Incidence Angle ${\theta }_{\mathit{\text{in}}}$ Is Varied ^a

^a  See Fig. 3 for reference. ${\lambda }_{\mathit{FIT}}$ indicates that the fitting-based EMT agrees well with RCWA results if the wavelength of an incident beam $\lambda >{\lambda }_{\mathit{FIT}}$ .

Wavelengths ${\lambda }_{\mathrm{FIT}}$ As the Superstrate Refractive Index $n_{\mathit{super}}$ Is Varied While Other Design Parameters Remain Unchanged ^a

^a  See Fig. 5 for reference. Note that ${\lambda }_{\mathrm{FIT}}$ for $n_{\mathit{super}}=3.0$ is out of the wavelength range under investigation $(\lambda =4\mu \mathrm{m}–20\mu \mathrm{m})$ .

Table 1

Wavelengths ${\lambda }_{\mathrm{FIT}}$ at Which the Deviation of reflectances between RCWA and the Fitting-based EMT for TE Polarization Is Equal to 1%, As the Incidence Angle ${\theta }_{\mathit{\text{in}}}$ Is Varied ^a

^a  See Fig. 3 for reference. ${\lambda }_{\mathit{FIT}}$ indicates that the fitting-based EMT agrees well with RCWA results if the wavelength of an incident beam $\lambda >{\lambda }_{\mathit{FIT}}$ .

Table 2

Wavelengths ${\lambda }_{\mathrm{FIT}}$ As the Superstrate Refractive Index $n_{\mathit{super}}$ Is Varied While Other Design Parameters Remain Unchanged ^a

^a  See Fig. 5 for reference. Note that ${\lambda }_{\mathrm{FIT}}$ for $n_{\mathit{super}}=3.0$ is out of the wavelength range under investigation $(\lambda =4\mu \mathrm{m}–20\mu \mathrm{m})$ .