Abstract
Presented the electro dynamical analysis of the n-Si photonic waveguide structures. The rigorous solution of the problem was fulfilled by the Singular Integral Equations' method (SIE) using the Muller's method. Here the dispersion characteristics of six different structures with three, five and seven air holes are analyzed. The air holes are located symmetrically to the centre of the waveguide substrate in the first three structures. The air holes are shifted in the other examined structures. In the article dependencies of the phase constants and losses on the number of holes and their location with respect to the top and the bottom sides of the semiconductor substrate are presented. The dispersion characteristics' comparison of waveguides with the different location of holes inside n-Si substrate shows that especially strong dependences are observed in the behaviour of losses. Ill. 5, bibl. 9 (in English; abstracts in English and Lithuanian).http://dx.doi.org/10.5755/j01.eee.111.5.344
Highlights
Photonic Crystal (PhC) based devices are being increasingly used in multifunctional, compact devices in integrated optical communication systems
The photonic crystals could be investigated by different methods
The dielectric and metallic photonic crystals comprising the liquid crystal materials as defect layers or elements are investigated by the Finite Difference Time Domain method in [2]
Summary
Photonic Crystal (PhC) based devices are being increasingly used in multifunctional, compact devices in integrated optical communication systems. They provide excellent controllability of light, yet maintaining the small size required for miniaturization. The photonic crystals could be investigated by different methods. The dielectric and metallic photonic crystals comprising the liquid crystal materials as defect layers or elements are investigated by the Finite Difference Time Domain method in [2]. We present the investigation of the photonic periodic waveguide structures using the Singular Integral Equations’ Method. The expressions of all the electric field components which satisfy the boundary conditions by all the waveguide contours dividing the different waveguide materials are presented below. The expressions of all electric field components for the area S+ (the inner area of counter L) and S- (the outer area of counter L) are presented below: n
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