LI Hong-tao, SHAO Ming-zhu, LUO Shi-yu. Band Structure of One-dimensional Photonic Crystal with Dielectric Constant as a Sine-squared Function in Coordinate Space[J]. Chinese Journal of Luminescence, 2008,29(2): 229-232
LI Hong-tao, SHAO Ming-zhu, LUO Shi-yu. Band Structure of One-dimensional Photonic Crystal with Dielectric Constant as a Sine-squared Function in Coordinate Space[J]. Chinese Journal of Luminescence, 2008,29(2): 229-232DOI:
Band Structure of One-dimensional Photonic Crystal with Dielectric Constant as a Sine-squared Function in Coordinate Space
Photonic crystals are artificially created materials with periodic dielectric constant variations. The simplest one-dimensional photonic crystals are multilayer structures obtained by alternately growing thin-films with different dielectric constants by molecular beam epitaxy. When the dielectric constant of one-dimensional photonic crystal is a sine-squared function in coordinate space
the photonic motion equation is reduced to Mathieu equation.The band construction for this system is discussed based on Bloch theorem
and the system presented automatically band properties.It shows that there are a series of stable zones and unstable zones (forbidden-bands) in the plane of parameter δ and ε. When |ε|→>0
these unstable zones will be reduced to some points in the centre of the forbidden-bands. The unstable zone and the forbidden-band width are found by the perturbation techniques.The result shows that the widths of the first order and second order unstable zones depend on the parameters of dielectric and photonic frequency. By adjusting these parameters
one can obtain the photonic crystals with different band structures and properties.
关键词
一维光子晶体折射率正弦平方分布摄动法禁带
Keywords
one-dimensional photonic crystalrefractive indexsine-squared distributionperturbation techniquesband gap
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