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Simulation Of Photonic Crystal Properties

Posted on:2009-05-28Degree:DoctorType:Dissertation
Country:ChinaCandidate:S S FanFull Text:PDF
GTID:1118360272462466Subject:Precision instruments and machinery
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As a new type of periodic structure man-made materials,photonic crystals quickly rise to the emergence of the widespread academic attention because of its wide range of applications.As its further research,scientists optimistically think that photonic crystal research and application will greatly improve the development of the photonics and the photonics industry.In this paper,the photonic band gap of 2D photonic crystals and the 3D layer-by-layer photonic crystals were studied numerically using plane-wave expansion method and plane-wave-based transfer-matrix method.The simulation of 3D layer-by-layer photonic crystal was made which was fabricated successfully by using two-photon microfabrication technology.This project was supported by National Nature Science Foundation of China(No.50335050).The main research results are listed as follows:First,some theoretical study was made on looking for larger band gap of 2D photonic crystals.The photonic band gap-midgap ratio of 2D photonic crystals consisting of two different lattices(triangular and square) and air holes of circle and two noncircular shapes(square and hexagon) were studied numerically using plane-wave expansion method.The effect of the filling ratio fon the gap-midgap ratioω_R was analyzed.The results show that the lattice symmetry and the shape of the air holes can affect the band gap size.Given the lattice symmetry,the larger photonic band gap is achieved by selecting an air hole shape of the same symmetry.Among these three air holes,hexagonal air holes in triangular lattice has the largest gap-midgap ratio,where f= 0.8,ω_R=23.3%;square air holes in square lattice has the largest gap-midgap ratio,where f=0.67,ω_R=14.7%.and the physical interpretation was given.Second,some theoretical study was also made on a class of 3D layer-by-layer photonic crystals which have absolute photonic band gap.Its reflection spectra were calculated using the plane-wave-based transfer-matrix method.The relationship between the parameters consisting of rod pitch a,rod width w,rod thickness h and rod refractive index n and the photonic band gap has been analyzed.The results show that increasing the rod pitch a and reducing rod width w,rod thickness h can obtain low peak wavelength,and using higher refractive index material can get larger range of photonic band gap.Third,the simulation of 3D layer-by-layer photonic crystal was made which was fabricated successfully by using two-photon microfabrication technology in our lab. Their reflection spectra have been detected which match the simulation results.All these study and experimental results will be helpful to design 2D photonic crystals with larger photonic band gap and put 3D layer-by-layer photonic crystals into practice.
Keywords/Search Tags:photonic crystals, photonic band gap, plane-wave expansion method, plane-wave-based transfer-matrix method, 3D layer-by-layer photonic crystals, two-photon microfabrication technology
PDF Full Text Request
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