The essence of the band gap of 1-D photonic crystal with period consisting of two elements

FAN Xizhi

doi:10.7510/jgjs.issn.1001-3806.2021.03.008

LASER TECHNOLOGY > 2021 > 45(3): 313-317. > DOI: 10.7510/jgjs.issn.1001-3806.2021.03.008

FAN Xizhi. The essence of the band gap of 1-D photonic crystal with period consisting of two elements[J]. LASER TECHNOLOGY, 2021, 45(3): 313-317. DOI: 10.7510/jgjs.issn.1001-3806.2021.03.008

Citation:

FAN Xizhi. The essence of the band gap of 1-D photonic crystal with period consisting of two elements[J]. LASER TECHNOLOGY, 2021, 45(3): 313-317. DOI: 10.7510/jgjs.issn.1001-3806.2021.03.008

Citation:

FAN Xizhi. The essence of the band gap of 1-D photonic crystal with period consisting of two elements[J]. LASER TECHNOLOGY, 2021, 45(3): 313-317. DOI: 10.7510/jgjs.issn.1001-3806.2021.03.008

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The essence of the band gap of 1-D photonic crystal with period consisting of two elements

FAN Xizhi

Department of Physics, Faculty of Science Wuhan University of Technology, Wuhan 430070, China

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Received Date: July 08, 2020
Revised Date: November 01, 2020
Published Date: May 24, 2021

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Abstract

In order to discuss the essence of 1-D photonic crystal band gap, the reflectivity of 1-D photonic crystal consisting of two elements was analyzed, and the expression of the real part of the equivalent refractive index was derived by using the transmission characteristic matrix method. Taking the 1-D photonic crystal composed of magnesium fluoride (MgF₂) and zinc sulfide (ZnS) as an example, the analytical numerical calculations of the reflectivity and the real part of the equivalent refractive index were done and the corresponding curves were drawn. It was the conclusion that, wavelength range with reflectivity of 1.0 is the same as that with real part of equivalent refractive index of zero. For the light waves in the band gap, the real part of the equivalent refractive index of 1-D photonic crystal is equal to or close to zero, namely, 1-D photonic crystal is virtual equivalent index material in the extent of band gap. In other words, the optical essence of photonic crystal band gap is that photonic crystal becomes virtual equivalent index material. This study is helpful for the study of 1-D photonic crystal with multi periods consisting of two elements.
- physical optics,
- photonic crystal,
- band gap,
- imaginary refractive index

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