Optimal design of 2-D columnar photonic crystal with square lattice and large bandgap
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1.
Department of Physics, Binzhou University, Binzhou 256603, China;
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2.
Institute for Theoretical Physics, Binzhou University, Binzhou 256603, China
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Received Date:
2011-11-21
Accepted Date:
2011-12-05
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Abstract
In order to study the properties of the complete bandgap of 2-D columnar photonic crystal in square lattice,two types of 2-D photonic crystals were studied based on the plane wave expansion method.The dependence of the complete bandgap on the variation of column radius and the refractive index was studied for a fixed lattice constant.Results show that when the radius of dielectric rods increases,the width of the complete photonic bandgap of photonic crystal composed of Ge cylinders in air background firstly increased,then declined and disappeared at last.When the filling fraction was 38.3%,as the dielectric constant of dielectric rods increased,the obtained maximum complete photonic band gap was 0.02754(ωa/(2πc)) when the refractive index was 4.2.It was also found that the bandgap frequency increased when the radius of air rods in Ge background increased.When the filling fraction was 48.3%,as the dielectric constant increased in the background,three complete bandgaps could be found,and the width of the largest complete bandgap was 0.02922(ωa/(2πc)) when the background index was 6.2.The photonic band structure was also shown by the frequency analysis of TE/TM.These results provide theoretical instructions for 2-D square photonic crystals with big photonic bandgap.
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