Coherent transmission and reflection of a two-dimensional planar photonic crystal

Three-dimensional ordered particulate structures: Method to retrieve characteristics from photonic band gap data

“…Ordered photonic structures, such as photonic crystals (PC), are the subject of intensive investigations in the last decades [1][2][3][4][5][6][7][8][9][10][11][12]. The interest is caused by the unique feature of such structures to suppress light propagation in some spectral ranges known as photonic band gaps (PBGs) [1][2][3].…”

Periodic structures with spherical alumina particles: Transmission and reflection spectra

“…The monolayer filling coefficient η = 0.5. Coherent transmission and reflection coefficients of monolayers were calculated in QCA [1,3,5,6]. The radial distribution function of PPC was evaluated by the method described schematically above with using the blurring function (2) for coordination circles as follows: σ(u) = σ 0 u, σ 0 = 0.01.…”

“…The method of the radial distribution function for non-ideal planar photonic crystal (PPC) modeling has been described previously in [3]. Its essence is as follows.…”

“…Actual PCs typically have non-ideal lattice with "blurred" coordination circles. It was shown [3] that the expression for calculating the radial distribution function g(u) of the real PPC (consisting of spherical monodisperse particles) can be written as: (…”

“…The system is illuminated normally to the planes of monolayers. At first, in QCA [1,3,5,6] the spectra of coherent transmission and reflection coefficients of individual monolayers are calculated. Then, using the obtained coefficients and the transfer matrix method (TMM) [7,8] the coherent transmission and reflection coefficients of a multilayer are evaluated.…”