Synthesis algorithm for mixed lumped and distributed element networks is presented. The algorithm is based on transfer scattering matrix factorization The mixed structure is composed of ladder lumped-elements connected with commensurate transmission lines (Unit elements, UEs). Reflection function expression in twovariable is utilized in the algorithm. First, the type of the element that will be...

We consider when the quaternion matrix equation AXB+CXD=E has a reflexive (or anti-reflexive) solution with respect to given generalized reflection matrix. adopt real representation method derive solutions it is solvable. Moreover, we obtain explicit expressions of least-squares solutions.

utilizing polymeric materials for damping mechanical waves is of great importance in various fields of applications such as military camouflage, prevention of structural vibrational energy transfer, and noise attenuation. this ability originates from segmental dynamics of chain-like polymer molecules. damping properties of styrene-butadiene rubbercontaining 10 wt% of monosize polystyrene partic...

To prevent serious electromagnetic interference, a single-layer and double layer wave-absorbing coating employing complex absorbents composed of carbon black with epoxy resin as matrix was prepared. The morphologies of carbon black /epoxy composites were characterized by scanning electron microscope  and atomic force microscope, respectively. The carbon black  particles exhibit obvious polyarom...

We introduce a concept of the Mach–Zehnder–Fano interferometer by inserting a cavity exhibiting Fano resonance into a conventional interferometer. By employing the scattering-matrix approach, we demonstrate that the transmission becomes sensitive to a position of the cavity such that an asymmetric structure exhibits a series of narrow resonances with almost perfect reflection. We discuss how to...

Omni-directional reflection (ODR) property of one-dimensional photonic crystal (PC) structures consisting of alternate layers of Germanium (Ge), and calcium fluoride (CaF2). The existence of total Omni-directional reflection band gap in 1D-PC is predicted theoretically. Reflectivity of one dimensional periodic structure for TE and TM-modes at different angles of incidence has been calculated by...

When computing global illumination in environments made up of surfaces with general Bidirectional Reflection Distribution Function, a three point formulation of the rendering equation can be used. Brute-force algorithms can lead to a linear system of equations whose matrix is cubic, which is expensive in time and space. The hierarchical approach is more efficient. Aupperle et al. proposed a hie...

A method of solving the scattering problem for general multilayer anisotropic structures composed of conventional materials and metamaterial is presented. The analysis is based on calculation of the hybrid matrix of layers by means of a recursive algorithm. The method does not have the complexity and instability problems of other methods and is reliable in all cases. The zero reflection from st...

A piezochromic material exhibiting a pressure dependent reversible shift of the selective reflection wavelength via the entire visible range is developed. The material consists of a cholesteric mixture embedded in a cholesteric elastomer matrix bearing mesogenic side chains with similar molecular structure. The change of the selective reflection has its origin in a compressible helix structure....

Useful approximation formulae for radiation impedance are given for the reflection coefficients of both infinitely flanged and unflanged rigid-walled cylindrical ducts. The expressions guarantee that simple but necessary physical and mathematical principles are met, like hermitian symmetry for the reflection coefficient (identical behaviour of positive and negative frequencies) and causality fo...