Applied Physics
Vol.4 No.09(2014), Article ID:14099,5 pages
DOI:10.12677/APP.2014.49019

Two-Dimensional Photonic Crystal in the Application of Solution Density Measurement Relativistic

Abudouresuli Abudourexiti

School of Physics and Technology, Xinjiang University, Urumqi

Email: abdrusul@sina.com

Received: Aug. 24th, 2014; revised: Sep. 8th, 2014; accepted: Sep. 12th, 2014

ABSTRACT

Based on the plane wave expansion method, the propagation of electromagnetic wave in the twodimensional photonic crystal is analyzed and a new method to measure the concentration of potassium chloride using two-dimensional photonic crystal plane wave expansion method is proposed. The transformation law of defective two-dimensional photonic band gap is shown by computer simulation. The simulation calculation of concentration transformation law and percent concentration measurement of photonic band gap (PBG) along with solution under test are given. This provides a theoretical basis for the practical application of two-dimensional photonic crystal band gap method in liquid percent concentration measurement.

Keywords:Plane Wave Expansion Method, Two-Dimensional Photonic Crystal, Photonic Band Gap Structure, Percent Concentration

Email: abdrusul@sina.com

1. 引言

2. 平面波展开法

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

(9)

(10)

3. 光子晶体的结构

4. 数值分析

Figure 1. Two dimensional triangular photonic crystal and first Brillouin zone

Triangular Lattice (εa = 1.804, εb = 11.7, R = 0.4)                Triangular Lattice (εa = 1.873, εb = 11.7, R = 0.4)

(a)(b)

Figure 2. TE (blue lines) band structure for (a) a triangular lattice of Si (eb = 11.7) rods in KCl (ea = 1.804) and (b) a triangular lattice of Si (eb = 11.7) rods in KCl (ea = 1.873)

Table 1. The dielectric constant of the KCl solution of percent concentration and band structure (273.1 K) [8]

Figure 3. Dependence of percent concentration KCl solution and permittivity

Figure 4. Dependence of band gap width as a function of percent concentration of KCl solution

(11)

Figure 5. Experimental facility for the measurement of KCl percent concentration

5. 结论

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