Theory Research Of One-dimensional Photonic Crystal Structure

Photonic crystals is a thriving new field which has achieved great developments so far andcaused widespread interests.However this simple periodic structure is difficult to meet thegrowing demands,so the optical quantum-well structure is introduced.This structure consistsof plugging one photonic crystal into another one with different energy band structure makingthe state of photon have special characters due to different arrangements of wells andbarriers.This paper discusses one-dimensional photonic crystal structure and correspondingquantum-well structures and analyses the transmission spectra under axial stress.Firstly,Maxwell’s equations are reviewed because they foresee the existence ofelectromagnetic waves and lay a solid foundation for the appearance of photoniccrystals.Then the research situations of photonic crystals,negative refractive materials,opticalquantum wells and meso-piezoresistive effect are introduced.Secondly,through the analysis of the differential and integral form of Maxwell’sequations,the electromagnetic wave equations for electric field strength and magneticinduction intensity propagating in medium are derived.Then the basicconcept,classification,physical characteristics,analysis methods,preparation and application ofPhotonic crystals are demonstrated.Thirdly,the transmission characteristic of one-dimensional photonic crystals is deducedbased on transfer matrix method and the reflection spectra are analyzed using two-parametersmodel.We found the results are significantly different when keeping the thickness of onemedium but increasing or decreasing the thickness of another one.Fourthly,the concept of optical quantum wells are given in detail.Then a theoretical model of one-dimensional quantum structure is build.Based on this model data simulation andanalysis are made. Meanwhile transmission characteristics of one-dimensional opticalquantum well structures containing negative refractive index materials are also simulated andanalyzed.Finally,the concepts and classifications of the stress and strain are introduced and resonanttunneling structure and its principles are given.The effect of axial strain on the double-barrierresonant tunneling structure is calculated.Through the establishment of an appropriate modelthe mesoscopic transmission spectra of photonic crystal are analyzed and the piezoopticalcoefficients are obtained.Above all,this paper discusses the mesoscopic piezooptical effect based on themeso-piezoresistive effect through an appropriate model to calculate and analyze thetransmission spectra under some certain structure of the photonic crystals.