Modeling of Optical Multilayers for Both Spectra and Admittance Loci

By Joel Chang, kuo-ping chen1

1. Purdue University Calumet

simulate spectra and admittance loci of multilayer structures

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Version 1.1 - published on 03 Nov 2014

doi:10.4231/D3PK0729B cite this

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Admittance loci have long been applied to design thin film structures. This tool combines simulation of admittance loci and RTA spectra together to help user design multilayer structures, especially for tunability and optimization of coupling efficiency in Tamm plasmon modes. 

The setting:

The default setting of this tool is a Tamm plasmon structure placed on a substrate with refractive index (nsub) =3.7, with surrounding medium refractive index (ntop) =1.The Tamm plasmon structure is a photonic crystal (PC) coated with 30 nm gold film on top, where the PC is composed of 6 pairs of high/low(na=3.7/nb=3) refractive-index quarter-wavelength layer with central wavelength sets to be 1300 nm (ex: nb=3, so the thickness of layer 'b' will then be 1300/4/3 =108.33 nm). The nlast and dlast denote the refractive index and thickness of an extra 'last' layer located between the top of the PC and the gold layer (immediately adjacent to layer 'a' and metallic layer). Incident light was set to comes from the top side with incident angle equal to 0, so the light will first hit the metallic layer, the 'last' layer, the 'a' layer of PC, then the 'b' layer of PC, and so on. The above-mentioned structural setting is only a demonstration. Users can modify the setting based on their needs.

Besides the structural setting, Users can also calculate admittance loci and spectra different wavelengths. The default setting calculation wavelength for admittance loci is 1300 nm. Both modify on the slider bar or directly fill out the edit boxes will change the calculation wavelength. The default setting wavelength range for spectra calculation is from 1000 nm to 1500 nm with overall 501 points, and only the reflectance spectra of structure with/without gold film are chosen to be plotted.

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The solver was developed in Matlab 


Che-Yuan Chang... solver development, GUI development, overall testing

Kuo-Ping Chen... advising professor, overall testing


Steven Clark ... nanoHUB training and support


[1] H. A. Macleod, Thin-Film Optical Filters (Academic, 2001).

[2] P. B. Johnson, and R.-W. Christy, "Optical constants of the noble metals," Physical Review B 6, 4370 (1972).

[3] M. E. Sasin, R. P. Seisyan, M. A. Kalitteevski, S. Brand, R. A. Abram, J. M. Chamberlain, A. Y. Egorov, A. P. Vasil’ev, V. S. Mikhrin, and A. V. Kavokin, “Tamm plasmon polaritons: Slow and spatially compact light,” Appl. Phys. Lett. 92(25), 251112 (2008).

[4] C.-W. Lin, K.-P. Chen, M.-C. Su, T.-C. Hsiao, S.-S. Lee, S. Lin, X.-j. Shi, and C.-K. Lee, "Admittance loci design method for multilayer surface plasmon resonance devices," Sensors and Actuators B: Chemical 117, 219-229 (2006).

[5] Che-Yuan Chang, Yi-Hsun Chen, Yu-Lin Tsai, Hao-Chung Kuo, and Kuo-Ping Chen, “Tunability and Optimization of Coupling Efficiency in Tamm Plasmon Modes”, submitted.


[1] Che-Yuan Chang and Kuo-Ping Chen, "Excitation Of Tamm Plasmon With Different Incidence Angles From Front Side And Back Side," Annual Meeting of the Physical Society of Republic of China, 2014

[2] Che-Yuan Chang and Kuo-Ping Chen, "Controllable Tamm Plasmon Effect Designed by Admittance Loci," Metamaterials 2014, Copenhagen, Denmark, 25-30 August 2014

[3] Che-Yuan Chang, Yi-Hsun Chen, Yu-Lin Tsai, Hao-Chung Kuo, and Kuo-Ping Chen, “Tunability and Optimization of Coupling Efficiency in Tamm Plasmon Modes”, submitted.

Cite this work

Researchers should cite this work as follows:

  • Joel Chang, kuo-ping chen (2014), "Modeling of Optical Multilayers for Both Spectra and Admittance Loci," (DOI: 10.4231/D3PK0729B).

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