Photonic band structures of quadrangular multiconnected networks

doi:10.1088/1674-1056/19/7/074213

中国物理B ›› 2010, Vol. 19 ›› Issue (7): 74213-074213.doi: 10.1088/1674-1056/19/7/074213

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Photonic band structures of quadrangular multiconnected networks

宋欢欢, 杨湘波

MOE Key Laboratory of Laser Life Science & Institute of Laser Life Science, South China Normal University, Guangzhou 510631, China

收稿日期:2009-10-23 出版日期:2010-07-15 发布日期:2010-07-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 10974061) and the Program for Innovative Research Team of the Higher Education in Guangdong of China (Grant No. 06CXTD005).

Photonic band structures of quadrangular multiconnected networks

Song Huan-Huan(宋欢欢) and Yang Xiang-Bo(杨湘波)^†

MOE Key Laboratory of Laser Life Science & Institute of Laser Life Science, South China Normal University, Guangzhou 510631, China

Received:2009-10-23 Online:2010-07-15 Published:2010-07-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 10974061) and the Program for Innovative Research Team of the Higher Education in Guangdong of China (Grant No. 06CXTD005).

摘要/Abstract

摘要： By means of the network equation and generalized dimensionless Floquet—Bloch theorem, this paper investigates the properties of the band number and width for quadrangular multiconnected networks (QMNs) with a different number of connected waveguide segments (NCWSs) and various matching ratio of waveguide length (MRWL). It is found that all photonic bands are wide bands when the MRWL is integer. If the integer attribute of MRWL is broken, narrow bands will be created from the wide band near the centre of band structure. For two-segment-connected networks and three-segment-connected networks, it obtains a series of formulae of the band number and width. On the other hand, it proposes a so-called concept of two-segment-connected quantum subsystem and uses it to discuss the complexity of the band structures of QMNs. Based on these formulae, one can dominate the number, width and position of photonic bands within designed frequencies by adjusting the NCWS and MRWL. There would be potential applications for designing optical switches, optical narrow-band filters, dense wavelength-division-multiplexing devices and other correlative waveguide network devices.

Abstract: By means of the network equation and generalized dimensionless Floquet—Bloch theorem, this paper investigates the properties of the band number and width for quadrangular multiconnected networks (QMNs) with a different number of connected waveguide segments (NCWSs) and various matching ratio of waveguide length (MRWL). It is found that all photonic bands are wide bands when the MRWL is integer. If the integer attribute of MRWL is broken, narrow bands will be created from the wide band near the centre of band structure. For two-segment-connected networks and three-segment-connected networks, it obtains a series of formulae of the band number and width. On the other hand, it proposes a so-called concept of two-segment-connected quantum subsystem and uses it to discuss the complexity of the band structures of QMNs. Based on these formulae, one can dominate the number, width and position of photonic bands within designed frequencies by adjusting the NCWS and MRWL. There would be potential applications for designing optical switches, optical narrow-band filters, dense wavelength-division-multiplexing devices and other correlative waveguide network devices.

Key words: multiconnected network, waveguide, photonic band structure

中图分类号: (Photonic bandgap materials)

42.70.Qs

宋欢欢, 杨湘波. Photonic band structures of quadrangular multiconnected networks[J]. 中国物理B, 2010, 19(7): 74213-074213.

Song Huan-Huan(宋欢欢) and Yang Xiang-Bo(杨湘波). Photonic band structures of quadrangular multiconnected networks[J]. Chin. Phys. B, 2010, 19(7): 74213-074213.

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Photonic band structures of quadrangular multiconnected networks

Photonic band structures of quadrangular multiconnected networks

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