This paper is concerned with α– and D–negative imaginary systems. The definition of α–negative imaginary transfer functions is firstly introduced. Then, the relationship between negative imaginary and α–negative imaginary transfer functions is studied. By means of the generalized inverse, an α–negative imaginary lemma is proposed to test the α–negative imaginary property of transfer functions. ...

An imaginary cube is a three dimensional object which has square projections in three orthogonal directions just as a cube has. In this paper, we study imaginary cubes and present sculptures based on imaginary cubes. We show that there are 16 kinds of minimal convex imaginary cubes. The list of 16 representative minimal convex imaginary cubes contains, as well as a regular tetrahedron and a cub...

Silicon thin layers are deposited on glass substrates with the thickness of 103 nm, 147 nm and 197 nm. The layers are produced with electron gun evaporation method under ultra-high vacuum condition. The optical Reectance and the Transmittance of produced layers were measured by using spectrophotometer. The optical functions such as, real and imaginary part of refractive index, real and imaginar...