Functional Polymer Coatings 2015
DOI: 10.1002/9781118883051.ch9
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Fabrication and Application of Structural Color Coatings

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“…PCs, with periodic dielectric nanostructure, are capable of affecting light propagation and creating forbidden gap (photonic stopband) in their photonic band structure. 50,51 In general, the wavelength of light diffracted from 3D colloidal PCs is determined by the Bragg law in eq 1: where n eff is the effective refractive index, which has a relationship with the filling volume ratio v i of different refractive indexes n i by n eff = (Σn i 2 v i ) 1/2 . Equation 1 changes as follows:…”
Section: ■ Results and Discussionmentioning
confidence: 99%
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“…PCs, with periodic dielectric nanostructure, are capable of affecting light propagation and creating forbidden gap (photonic stopband) in their photonic band structure. 50,51 In general, the wavelength of light diffracted from 3D colloidal PCs is determined by the Bragg law in eq 1: where n eff is the effective refractive index, which has a relationship with the filling volume ratio v i of different refractive indexes n i by n eff = (Σn i 2 v i ) 1/2 . Equation 1 changes as follows:…”
Section: ■ Results and Discussionmentioning
confidence: 99%
“…PCs, with periodic dielectric nanostructure, are capable of affecting light propagation and creating forbidden gap (photonic stopband) in their photonic band structure. , In general, the wavelength of light diffracted from 3D colloidal PCs is determined by the Bragg law in eq : λ = 2 n eff d ( 1 sin 2 θ / n eff 2 ) 1 / 2 where n eff is the effective refractive index, which has a relationship with the filling volume ratio v i of different refractive indexes n i by n eff = (Σ n i 2 v i ) 1/2 . Equation changes as follows: λ = 2 d false( normalΣ n i 2 v i normalsin 2 θ false) 1 / 2 Equation is also considered a detailed expression of the Bragg diffraction, where d is the distance between crystalline planes in the (111) direction and related to the bead diameter D by d = (2/3) 1/2 D ; and θ is the angle between the incident light and the normal to the ( hkl ) planes.…”
Section: Resultsmentioning
confidence: 99%