2015
DOI: 10.11648/j.jeee.20150302.11
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Theoretical Investigation of Transmission and Dispersion Properties of One Dimensional Photonic Crystal

Abstract: Abstract:In this work, we demonstrate via numerical simulation the general design for one dimensional photonic crystal (1D-PC). In the design procedure, the transfer matrix method and Bloch theorem are used to determine the transmission coefficient and dispersion relation of (1D-PC) structure for both TE (transverse electric) and TM (transverse magnetic) modes. Results obtained showing the effect of the filling factor as well as the incident angle on the photonic band gap width. The analysis is carried out usi… Show more

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Cited by 20 publications
(4 citation statements)
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“…According to the relative dielectric function, effective magnetic permeability, and reflection coefficient, we can obtain the physical information required to study the transmission properties of EM waves in MEEPEM [1,[21][22][23][24][25][26][27]. For the doped ion of IPPLN, we choose the Mg ion.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…According to the relative dielectric function, effective magnetic permeability, and reflection coefficient, we can obtain the physical information required to study the transmission properties of EM waves in MEEPEM [1,[21][22][23][24][25][26][27]. For the doped ion of IPPLN, we choose the Mg ion.…”
Section: Resultsmentioning
confidence: 99%
“…where c 0 is the velocity of light in free space, and ω p is the effective plasma frequency, r 1 is the diameter of the conducting wire, and a 1 is the unit cell size of the MEEPEM (see Figure 1). On the basis of the Transfer Matrix Method of the photonic crystal and the relative dielectric functions ε ra and ε rb of MEEPEM [24][25][26], we calculate the reflection coefficients of the MEEPEM. It is derived as follows:…”
Section: Dielectric Functions Reflection Coefficients and Effective M...mentioning
confidence: 99%
“…The transfer matrix method is a robust mathematical technique employed to analyze the transmission of light through a photonic crystal containing multiple layers with distinct optical properties. , This method operates under the assumption that the optical properties remain constant and are known within each layer. Additionally, it presupposes that the light wave can be expressed as a combination of plane waves propagating within the material.…”
Section: Theoretical Formulation Of the Transfer Matrix Methods (Tmm)mentioning
confidence: 99%
“…In this work, the behavior of 1D-PC radiation will be assessed through the Transfer Matrix Method (TMM) [23,24]. Cancer and normal cells are infiltrated into the cavity covered with graphene sheets to increase the sensitivity of the biosensor due to its high-energy transfer efficiency [25][26][27][28]. Biosensor sensitivity is optimized through the modification of parameters such as radiation incidence angle and cavity thickness.…”
Section: Introductionmentioning
confidence: 99%