Reflectivity of 1D photonic crystals: A comparison of computational schemes with experimental results

2018 ◽  
Vol 32 (11) ◽  
pp. 1850136 ◽  
Author(s):  
J. S. Pérez-Huerta ◽  
D. Ariza-Flores ◽  
R. Castro-García ◽  
W. L. Mochán ◽  
G. P. Ortiz ◽  
...  

We report the reflectivity of one-dimensional finite and semi-infinite photonic crystals, computed through the coupling to Bloch modes (BM) and through a transfer matrix method (TMM), and their comparison to the experimental spectral line shapes of porous silicon (PS) multilayer structures. Both methods reproduce a forbidden photonic bandgap (PBG), but slowly-converging oscillations are observed in the TMM as the number of layers increases to infinity, while a smooth converged behavior is presented with BM. The experimental reflectivity spectra is in good agreement with the TMM results for multilayer structures with a small number of periods. However, for structures with large amount of periods, the measured spectral line shapes exhibit better agreement with the smooth behavior predicted by BM.

2019 ◽  
Vol 560 ◽  
pp. 133-139 ◽  
Author(s):  
I.A. Lujan-Cabrera ◽  
C.F. Ramirez-Gutierrez ◽  
J.D. Castaño-Yepes ◽  
M.E. Rodriguez-Garcia

2010 ◽  
Vol 97 (11) ◽  
pp. 113106 ◽  
Author(s):  
Shahar Mor ◽  
Vicente Torres-Costa ◽  
Raúl J. Martín-Palma ◽  
I. Abdulhalim

2005 ◽  
Vol 2 (9) ◽  
pp. 3466-3470 ◽  
Author(s):  
E. Xifré Pérez ◽  
T. Trifonov ◽  
J. Pallarès ◽  
L. F. Marsal

2010 ◽  
Vol 663-665 ◽  
pp. 737-740 ◽  
Author(s):  
Yuan Ming Huang ◽  
Bao Gai Zhai ◽  
Yun Gao Cai ◽  
Qing Lan Ma

The model of the one-dimensional photonic crystals (1-D PCs) with a centered defect with increasing number of layers was considered, and characteristic matrix method was used to calculate the transmittance spectra of the 1-D PCs. From the transmittance spectra, it shown that during the course of the number N of the layers of 1-D PCs’ one side symmetrical increased from 2 to 16, there occurred defect band gap in the stop band gap, when N upped to 16 , the defect band gap disappeared; besides, the defect band gap is at the frequencies around 0.30. In addition, in the progress of N increased from 3 to 16, the defect band gap reduced from the frequency range 0.0570 to 0.00, and the transmittance declined from 73.59% to 13.94% in the defect band gap.


2015 ◽  
Vol 118 (19) ◽  
pp. 193101 ◽  
Author(s):  
V. B. Novikov ◽  
S. E. Svyakhovskiy ◽  
A. I. Maydykovskiy ◽  
T. V. Murzina ◽  
B. I. Mantsyzov

2007 ◽  
Vol 91 (24) ◽  
pp. 241109 ◽  
Author(s):  
Emiliano Descrovi ◽  
Francesca Frascella ◽  
Beniamino Sciacca ◽  
Francesco Geobaldo ◽  
Lorenzo Dominici ◽  
...  

Optics ◽  
2021 ◽  
Vol 2 (4) ◽  
pp. 284-291
Author(s):  
Victoria Paige Stinson ◽  
Serang Park ◽  
Micheal McLamb ◽  
Glenn Boreman ◽  
Tino Hofmann

One-dimensional photonic crystals composed of alternating layers with high- and low-density were fabricated using two-photon polymerization from a single photosensitive polymer for the infrared spectral range. By introducing single high-density layers to break the periodicity of the photonic crystals, a narrow-band defect mode is induced. The defect mode is located in the center of the photonic bandgap of the one-dimensional photonic crystal. The fabricated photonic crystals were investigated using infrared reflection measurements. Stratified-layer optical models were employed in the design and characterization of the spectral response of the photonic crystals. A very good agreement was found between the model-calculated and measured reflection spectra. The geometric parameters of the photonic crystals obtained as a result of the optical model analysis were found to be in good agreement with the nominal dimensions of the photonic crystal constituents. This is supported by complimentary scanning electron microscope imaging, which verified the model-calculated, nominal layer thicknesses. Conventionally, the accurate fabrication of such structures would require layer-independent print parameters, which are difficult to obtain with high precision. In this study an alternative approach is employed, using density-dependent scaling factors, introduced here for the first time. Using these scaling factors a fast and true-to-design method for the fabrication of layers with significantly different surface-to-volume ratios. The reported observations furthermore demonstrate that the location and amplitude of defect modes is extremely sensitive to any layer thickness non-uniformities in the photonic crystal structure. Considering these capabilities, one-dimensional photonic crystals engineered with defect modes can be employed as narrow band filters, for instance, while also providing a method to quantify important fabrication parameters.


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