Optical response and structural properties of Fe-doped Pb(Zr0.52Ti0.48)O3 nanopowders

A bicomponent synergistic MoxW1−xS2/aluminum nitride vdW heterojunction for enhanced photocatalytic hydrogen evolution: a first principles study

“…To calculate the optical properties of Mo x W 1− x S 2 /AlN heterojunctions at different ratios, their frequency-dependent dielectric matrices were calculated using the Fermi golden rule under the dipole approximation. 72–75 The imaginary part ε 2 (ℏ ω ) of the dielectric function caused by the direct interband transition is given by the formula: ω represents the photon frequency, Ω represents the unit cell volume, u defines the polarization vector of the incident electric field, and v and c represent the valence band and the conduction band, respectively. The real part ε 1 ( ω ) of the dielectric function is obtained by the Kramers–Kronig transformation of ε 2 ( ω ).…”

“…To calculate the optical properties of Mo x W 1Àx S 2 /AlN heterojunctions at different ratios, their frequency-dependent dielectric matrices were calculated using the Fermi golden rule under the dipole approximation. [72][73][74][75] The imaginary part e 2 ( ho) of the dielectric function caused by the direct interband transition is given by the formula:…”

Investigating the structural morphology, linear/nonlinear optical characteristics of Nd2O3 doped PVA polymeric composite films: Kramers-Kroning approach

“…Typically, traditional theoretical methods for optical parameters are based on the film thickness, which is challenged to precisely measure the thickness due to the limitations of practical instruments. In this proposed work, the Kramer-Kronig analysis is mainly applied as a straightforward approach to determine the linear optical parameters, including refraction (n) and extinction coefficients (n & k) using the reflectance data (R), without requiring the film thickness, as represented in previous research studies [27][28][29][30][31][32][33][34].…”

“…The optical parameters (k) for the synthesized Nd 2 O 3 /PVA polymeric films with various doping ratios were calculated via the Kramer-Kronig method, as illustrated in the following expressions [27][28][29][30][31][32][33][34]:…”

TiO2-nanoparticles enhances the structure and optical behaviors of PMMA/glass polymeric films: Kramers-Kroning analysis

“…Most theoretical calculated approaches of optical constants rely on the thin films' thickness, where this is a vital difficulty because of the lack of a specific device to determine the film thickness. The Kramer-Kronig method is considered an excellent solution to accurately calculate the optical parameter with no thickness dependence [43][44][45][46][47][48][49][50]. The values of both refractive index (n) and absorption coefficient (k) were calculated based on the reflectance results (R) for all prepared TiO 2 /PMMA nanocomposite films using the Kramer-Kronig equations.…”