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Academic Journal of Engineering and Technology Science, 2022, 5(7); doi: 10.25236/AJETS.2022.050706.

Analyze the relationship between wavelength, refractive index and extinction coefficient separately

Author(s)

Guanghua Li1, Hao Zhang1, Shitong Wang2

Corresponding Author:
Guanghua Li
Affiliation(s)

1College of Science, Tibet University, Lhasa, 850000, Tibet, China

2College of Technology, Tibet University, Lhasa, 850000, Tibet, China

Abstract

We can know that the change of wavelength is always increasing, but the change of refractive index increases and decreases. We first analyze the relationship between wavelength, refractive index and extinction coefficient separately, and then conduct multiple regression modeling for wavelength, refractive index, wavelength, and extinction coefficient. According to this situation, we establish a multiple regression model to obtain the implicit function relationship between wavelength, refractive index, and extinction coefficient. By substituting the data, we get that the refractive index of a 50 nm thick tungsten in 0.3-5 μ m is 144.354. We model the relationship between the emission spectra of multilayer structures and material properties. Based on the composite structure emission spectrum model based on the transfer matrix method (TMM), we substitute the data of silica and tungsten, and we can clearly see the emission spectra of the composite structure formed by tungsten (50 nm) and silicon dioxide (50 nm) in the range of 0.3-5 microns.

Keywords

multiple regression analysis modeling, transfer matrix (TMM)

Cite This Paper

Guanghua Li, Hao Zhang, Shitong Wang. Analyze the relationship between wavelength, refractive index and extinction coefficient separately. Academic Journal of Engineering and Technology Science (2022) Vol. 5, Issue 7: 33-39. https://doi.org/10.25236/AJETS.2022.050706.

References

[1] Mohammed Z H. The fresnel coefficient of thin film multilayer using transfer matrix method tmm[C]//IOP Conference Series: Materials Science and Engineering.  IOP Publishing, 2019, 518(3): 032026. 

[2] Katsidis C C, Siapkas D I. General transfer-matrix method for optical multilayer systems with coherent, partially coherent, and incoherent interference[J]. Applied optics, 2002, 41(19): 3978-3987. 

[3] Zhang Yiming,Tang Jiqiang,Wen Tong,XU Yuanping. A Modified Transfer Matrix Method for Modal Analysis of Stepped Rotor Assembly Applied in the Turbomolecular Pump[J]. Shock and Vibration, 2022,2022.

[4] Chen Dongyang,Gu Chaojie,Marzocca Pier,Yang Jiadong,Pan Guang. Dynamic Modeling of Rotating Blades System based on Transfer Matrix Method of Multibody System[J]. Applied Mathematical Modelling, 2022(prepublish).

[5] Cretu Nicolae,Pop MihailIoan,Andia Prado Hank Steve. Some Theoretical and Experimental Extensions Based on the Properties of the Intrinsic Transfer Matrix[J]. Materials, 2022,15(2).

[6] Pereyra Pedro. The Transfer Matrix Method and the Theory of Finite Periodic Systems. From Heterostructures to Superlattices[J]. physica status solidi (b), 2021,259(3).

[7] Bestle Dieter. Eigenvalue sensitivity analysis based on the transfer matrix method[J]. International Journal of Mechanical System Dynamics, 2021,1(1).

[8] Auwal Abdullahi, Hamza Usman, Iliyasu Ibrahim. Determining house price for mass appraisal using multiple regression analysis modeling in Kaduna North Nigeria[J]. ATBU Journal of Environmental Technology, 2018,11.