### Abstract

The properties of wave transmission in a strongly dispersive semiconductor-dielectric photonic crystal (SDPC) are theoretically investigated. We consider a one-dimensional finite SDPC, air/(SD)^{N}S/air, where, N is the stack number, S is an extrinsic semiconductor, n-type InSb (n-InSb), and D is a dielectric layer of SiO_{2}. Transmission peaks can be found in the frequency region where the real part of the complex permittivity of n-InSb is negative. The number of peaks is equal to the stack number N. The positions of peaks can be tuned by the thicknesses of S and D. The peaks are seen to be blue-shifted as the doping density increases, leading to a tunable filter. The locations of peaks are also strongly dependent on the incidence angle, but weakly dependent on the polarization of the incident wave. The results suggest that a tunable multichannel filter can be achieved by using such an SDPC. Filters with tunable and multichannel features are of technical use in photonic applications such as in the optical electronics and communications.

Original language | English |
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Pages (from-to) | 448-454 |

Number of pages | 7 |

Journal | Optical Review |

Volume | 21 |

Issue number | 4 |

DOIs | |

Publication status | Published - 2014 Jan 1 |

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### Keywords

- multichannel filter
- photonic crystals
- semiconductors
- transfer matrix method

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

**Transmission properties in a one-dimensional finite extrinsic semiconductor InSb photonic crystal.** / Liu, Chi Chung; Wu, Chien-Jang.

Research output: Contribution to journal › Article

*Optical Review*, vol. 21, no. 4, pp. 448-454. https://doi.org/10.1007/s10043-014-0069-y

}

TY - JOUR

T1 - Transmission properties in a one-dimensional finite extrinsic semiconductor InSb photonic crystal

AU - Liu, Chi Chung

AU - Wu, Chien-Jang

PY - 2014/1/1

Y1 - 2014/1/1

N2 - The properties of wave transmission in a strongly dispersive semiconductor-dielectric photonic crystal (SDPC) are theoretically investigated. We consider a one-dimensional finite SDPC, air/(SD)NS/air, where, N is the stack number, S is an extrinsic semiconductor, n-type InSb (n-InSb), and D is a dielectric layer of SiO2. Transmission peaks can be found in the frequency region where the real part of the complex permittivity of n-InSb is negative. The number of peaks is equal to the stack number N. The positions of peaks can be tuned by the thicknesses of S and D. The peaks are seen to be blue-shifted as the doping density increases, leading to a tunable filter. The locations of peaks are also strongly dependent on the incidence angle, but weakly dependent on the polarization of the incident wave. The results suggest that a tunable multichannel filter can be achieved by using such an SDPC. Filters with tunable and multichannel features are of technical use in photonic applications such as in the optical electronics and communications.

AB - The properties of wave transmission in a strongly dispersive semiconductor-dielectric photonic crystal (SDPC) are theoretically investigated. We consider a one-dimensional finite SDPC, air/(SD)NS/air, where, N is the stack number, S is an extrinsic semiconductor, n-type InSb (n-InSb), and D is a dielectric layer of SiO2. Transmission peaks can be found in the frequency region where the real part of the complex permittivity of n-InSb is negative. The number of peaks is equal to the stack number N. The positions of peaks can be tuned by the thicknesses of S and D. The peaks are seen to be blue-shifted as the doping density increases, leading to a tunable filter. The locations of peaks are also strongly dependent on the incidence angle, but weakly dependent on the polarization of the incident wave. The results suggest that a tunable multichannel filter can be achieved by using such an SDPC. Filters with tunable and multichannel features are of technical use in photonic applications such as in the optical electronics and communications.

KW - multichannel filter

KW - photonic crystals

KW - semiconductors

KW - transfer matrix method

UR - http://www.scopus.com/inward/record.url?scp=84904752059&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84904752059&partnerID=8YFLogxK

U2 - 10.1007/s10043-014-0069-y

DO - 10.1007/s10043-014-0069-y

M3 - Article

AN - SCOPUS:84904752059

VL - 21

SP - 448

EP - 454

JO - Optical Review

JF - Optical Review

SN - 1340-6000

IS - 4

ER -