Study On The Transmission Characteristics Of The General Function Photonic Crystals

In recent years, photonic crystals has made breakthrough progress in research of thetheory and application. In this paper, we choose one-dimensional general function photoniccrystals as research object, and study on band gap structure and transmission characteristicsby using the transfer matrix method. The main contents of this thesis are:(1) Overview of photonic crystals.(2) The equations of motion are given by the Fermat’s principle of light propagation indielectric layer. Then according to the electromagnetic wave light propagate theory, thecondition of continuity in the media on both sides of the electromagnetic field, derived thetransfer matrix of single medium layer; then derived the transfer matrix of one-dimensionalfunction photonic crystal; by using the transfer matrix method of light calculated theequations of reflectance and transmittance, then calculating formula of electric fielddistribution by the transmission theory of light.(3) Calculated transmissivity of one-dimensional conventional photonic crystals atdifferent incident angles. And further analysis of the doped defect, effects on the transmissionproperties.(4) Optical transmission properties of one-dimensional general function photonic crystalsis discussed in detail, the different slope of the linear refractive index, period number, incidentangles and optical thickness effects on transmittance were considered. Different periodnumber, optical thickness and the incident angle are fundamental frequency odd times, eventimes effect on electric field distribution. Comparing defects with does not contain the defect.The half period number of defect layer, incident angle i0, refractive indexn dof the defectlayer, the position of the defect layer, absorb coefficient k and optical thickness effect on thestrength of the defect mode.(5) Research the distribution of electric field of general function photonic crystals withthe light positive or negative incident. The general function photonic crystals can magnify orattenuate the distribution of electric field, which will provide new theory approach and newidea for design and make the new photon amplifier and diode.