Сriteria of crystal-like structures approaching by impedance delta-inhomogeneities lattices
DOI:
https://doi.org/10.20535/RADAP.2016.67.58-64Keywords:
crystal-like structure, impedance delta-inhomogeneityAbstract
Introduction. Crystal-like structures (CS) have unique, similar to crystals, band spectral characteristics and form the basis of new various signal processing devices. In this paper the criteria of CS approaching by δ-inhomogeneities lattices are established.Wave mediums of crystal-like structures. Quantum-mechanical, electromagnetic and acoustic wave mediums are considered and expressions for impedance δ-barriers and δ-wells input impedances and admittance are described.
Unlimited impedance δ-wells lattices. Features of impedance δ-wells lattice are considered. Expression for input impedance of impedance δ-wells lattice is obtained. Active and reactive input impedance components characteristics of unlimited impedance δ-inhomogeneities lattices are presented.
Unlimited crystal-like structures approaching. Comparative analysis of input impedance components characteristics of unlimited CSs and δ-inhomogeneities lattices are considered. Criteria of unlimited CSs approaching by δ-inhomogeneities lattices are established.
Limited crystal-like structures approaching. Comparative analysis of input impedance components characteristics of limited CSs and δ-inhomogeneities lattices are considered. Criteria of limited CSs approaching by δ-inhomogeneities lattices are established.
Conclusions. Criteria for unlimited and limited CS approaching by δ-inhomogeneities lattices limiting CS inhomogeneity width by one-fourth of the wavelength and normalized wave impedance of electromagnetic and acoustic inhomogeneities by values of not less than 3 or not more than 1/3. These criteria determine range of modeling ― energy for quantum-mechanical CSs and frequency for electromagnetic and acoustic CSs accordingly.
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