A sensor with zero-refractive-index metamaterial slab waveguide coupled to whispering gallery modes
A zero-refractive-index, flat-plate waveguide technology, applied in the direction of analyzing materials, material analysis by electromagnetic means, instruments, etc., to achieve the effect of improving coupling efficiency and sensitivity
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example 1
[0023] figure 2 Among them, the upper and lower plates are perfect electrical conductors (PEC, Perfect Electric Conductor), and the area 1 and area 3 filled with air are separated by area 2. Zero-index metamaterials (ε 3 ,μ 3 ) placed in the center with insulating medium (ε 1 ,μ 1 ) of the dielectric ring (ε 2 ,μ 2 ) constitutes area 2, and the inner and outer radii of the ring are a and b respectively;
[0024] In the structure, red copper is selected as the waveguide plate, which can be approximately considered as a perfect electrical conductor in the microwave band. The corresponding propagation mode is TM mode, and the waveguide size is 120mm×45mm, a=12mm, b=15mm, ε 1r = 1.5, ε 2r =5,μ 1r =μ 2r = 1, ε 3r =μ 3r = 0.001. According to the literature [Yeh, C., Shimabukuro, F. The Essence of Dielectric Waveguides [M]. Springer: NewYork, NY, USA, 2008], the theoretical calculation formula of the resonance (characteristic) frequency is
[0025] | ...
example 2
[0027] Example 2: If artificial magnetizers are used to replace figure 2 For medium electric conductors, the corresponding propagation mode is TE mode. The theoretical calculation formula of the characteristic frequency is
[0028] | J m ( k 1 a ) - J m ( k 2 a ) - Y m ( k ...
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