One dimensional phononic FDTD algorithm and transfer matrix method implementation for Severin aperiodic multilayer

Abstract

In this paper, the power spectrum and phononic properties of the quasi onedimensional Severin aperiodic multilayer was investigated. Multilayer phononic structures with their phononic band gap properties can be used as filters of mechanical waves. In the paper, the implementation of the Finite Difference Time Domain (FDTD) algorithm with discrete Fourier transform and the Transfer Matrix Method algorithm in the Wolfram Language in Mathematica was made.

Perovskite/c‐Si tandem solar cells with realistic inverted architecture: Achieving high efficiency by optical optimization

“…Crystalline silicon (c-Si) solar cells occupy an important position in photovoltaic market (over 90%) because of its low cost, high efficiency, and mature industrialization. The world record efficiency of 26.6% reported by Yoshikawa et al 1 is extremely close to the Shockley-Queisser efficiency limit, so further improvement becomes very difficult. In recent years, many groups have studied perovskite because of its high absorption coefficient, sharp absorption edge, and tunable bandgaps.…”

“…First, we used FDTD simulations package in the Lumerical FDTD Solutions software (version 8.17.1072, 2017a) to perform the optical calculations and then to compute the TSC electrical characteristics. FDTD is a time domain method by using finite difference approximations to solve Maxwell's equations . Except of neglecting diffraction and local electric field effects, it is more intuitive than other techniques and easier to get visual results which are good for designing and analyzing simulated structure .…”

“…FDTD is a time domain method by using finite difference approximations to solve Maxwell's equations. 19,20,26,27 Except of neglecting diffraction and local electric field effects, it is more intuitive than other techniques and easier to get visual results which are good for designing and analyzing simulated structure. [28][29][30] We set corresponding parameters in FDTD as follows.…”

Comparison of phononic structures with piezoelectric 0.62Pb(Mg1/3Nb1/3)O3-0.38PbTiO3 defect layers

“…Composite materials such as quasi one-dimensional multilayer structures exhibit very interesting phononical properties related to the lack of propagation of acoustic waves in a given frequency range depending on their structure, and therefore are used in a wide range of acoustic devices (Badreddine et al (2014), Han et al (2012)). One of the methods allowing to determine the properties of these structures is the Transfer Matrix Method (TMM) algorithm (Garus and Sochacki (2017)), which was used in this work. Other algorithms are, for example, PWE (Kushwaha et al (1994), Vasseur et al (2012)) and FDTD (Miyashita (2005), Alagoz et al (2009), Sigalas andEconomou (1992)).…”

Definition of principal material directions at irregular arterial shapes

“…One of the methods allowing to determine the properties of these structures is the Transfer Matrix Method (TMM) algorithm (Garus and Sochacki (2017)), which was used in this work. Other algorithms are, for example, PWE (Kushwaha et al (1994), Vasseur et al (2012)) and FDTD (Miyashita (2005), Alagoz et al (2009), Sigalas andEconomou (1992)).…”