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Realization of ultrawide omnidirectional photonic band gap in multiple one-dimensional photonic crystals
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10.1063/1.2358009
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Affiliations:
1 Center for Functional Nano Fine Chemicals, Faculty of Applied Chemical Engineering, Chonnam National University, 300 Yongbong Dong, Kwangju 500-757, Korea
a) Electronic mail: hyleee@chonnam.ac.kr
J. Appl. Phys. 100, 083501 (2006)
/content/aip/journal/jap/100/8/10.1063/1.2358009
http://aip.metastore.ingenta.com/content/aip/journal/jap/100/8/10.1063/1.2358009

## Figures

FIG. 1.

Schematic diagram of 1D multiple PC structures. Multiple periods are assumed to be . Here, is the number of pairs, is the refractive index, denotes thickness, is the incident wave vector, is the incident angle, is the electric field, and is the magnetic field. The plane of incidence is the plane. The incident, reflected, and refracted rays at the plane are also shown for the condition of . In this work, the PCs prepared by rf sputtering consisted of two types (b) and one type (c).

FIG. 2.

Photonic band structures for the 1D PCs with (a) single, (b) double, and (c) triple periods. The filling factor is 0.406 for all three cases, while is 16 for (a) and (b) and 24 for (c). The white areas represent the propagation bands and the gray areas are for the forbidden bands, where . The regions between the two solid lines in the gray correspond to the omni-PBGs. The omni-PBGs lie between the upper frequency edge at for TM (or TE) polarization and the lower frequency edge at (here, ) for TM polarization, and the normalized midgap frequency is defined as . The quantitative values are summarized in Table I.

FIG. 3.

Calculated TM- spectra ( and 85°) for 1D PCs with single, double, and triple periods, in which the omni-PBGs exist in the wavelength range of , 1.14–2.12, and , respectively. Structure parameters of PCs are as follows: , , , , and .

FIG. 4.

(Color online) Measured (thick solid lines) and calculated (thin solid lines) reflectance spectra at and 45° (TM and TE polarizations) for a single PC (, , and ) of Si and .

FIG. 5.

(Color online) Measured (thick solid lines) and calculated (thin solid lines) reflectance spectra at and 45° (TM and TE polarizations) for a single PC (, , and ) of Si and .

FIG. 6.

(Color online) Measured (thick solid lines) and calculated (thin solid lines) reflectance spectra at and 45° (TE polarizations) for a double PC (, , , and ) of Si and .

## Tables

Table I.

Normalized frequencies for omni-PBGs in single, double, and triple 1D PCs and the wavelength range of omni-PBG calculated for optimized at . Values of and are defined as and , respectively. Here, the filling factors satisfy the wave thickness condition, i.e., . In particular, and for double PC are given by values of and for single PC, respectively, and for triple PC is given by in double PC. That is, (nm), (nm), and (nm).

/content/aip/journal/jap/100/8/10.1063/1.2358009
2006-10-17
2014-04-25

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