Abstract

We present a simple method to design one-dimensional (1D) multichannel filters based on the resonant coupling theory, which can choose not only the peak frequency of each channel but also the quality factors (Q values) independently. This method is described by three samples for the design of two-channel, three-channel, and four-channel filters. An additional defect is introduced symmetrically into both sides of the 1D PhCs—it can generate defect modes that overlap with the channels that require tuning. This defect makes the Q values of these channels reduced but with no frequency shift, while the other channels almost keep invariant. The method is valuable for the design of multichannel filters with each channel and bandwidth adjustable independently.

© 2009 Optical Society of America

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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]

2009 (1)

Y. Chen, “Tunable omnidirectional multichannel filters based on dual-defective photonic crystals containing negative-index materials,” J. Phys. D 42, 075106 (2009).
[CrossRef]

2008 (1)

2007 (1)

S. W. Wang, X. Chen, W. Lu, M. Li, and H. Wang, “Fractal independently tunable multichannel filters,” Appl. Phys. Lett. 90, 211113 (2007).
[CrossRef]

2005 (2)

H. Nemec, P. Kuzel, L. Duvillaret, A. Pashkin, M. Dressel, and M. T. Sebastian, “Highly tunable photonic crystal filter for the terahertz range,” Opt. Lett. 30, 549-551 (2005).
[CrossRef] [PubMed]

H. Jiang, H. Chen, H. Li, Y. Zhang, and S. Zhu, “Compact high-Q filters based on one-dimensional photonic crystals containing single-negative materials,” J. Appl. Phys. 98, 013101 (2005).
[CrossRef]

2004 (2)

Z. Wang, L. Wang, Y. Wu, L. Chen, X. Chen, and W. Lu, “Multiple channeled phenomena in heterostructures with defects mode,” Appl. Phys. Lett. 84, 1629-1631(2004).
[CrossRef]

Z. Wang, R. W. Peng, F. Qiu, X. Q. Huang, M. Wang, A. Hu, S. S. Jiang, and D. Feng, “Selectable-frequency and tunable-Q perfect transmissions of electromagnetic waves in dielectric heterostructures,” Appl. Phys. Lett. 84, 3969-3971(2004).
[CrossRef]

2003 (1)

Q. Qin, H. Lu, S. N. Zhu, C. S. Yuan, Y. Y. Zhu, and N. B. Ming, “Resonance transmission modes in dual-periodical dielectric multilayer films,” Appl. Phys. Lett. 82, 4654-4656(2003).
[CrossRef]

2002 (1)

K. Xu, X. Zheng, C. Li, and W. She, “Design of omnidirectional and multiple channeled filters using one-dimensional photonic crystals containing a defect layer with a negative refractive index,” Phys. Rev. E 71, 066604 (2002).
[CrossRef]

2000 (1)

F. Qiao, C. Zhang, J. Wan, and J. Zi, “Photonic quantum-well structures: multiple channeled filtering phenomena,” Appl. Phys. Lett. 77, 3698-3700 (2000).
[CrossRef]

1999 (1)

1987 (2)

S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58, 2486-2489 (1987).
[CrossRef] [PubMed]

E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58, 2059-2062 (1987).
[CrossRef] [PubMed]

Chen, H.

H. Jiang, H. Chen, H. Li, Y. Zhang, and S. Zhu, “Compact high-Q filters based on one-dimensional photonic crystals containing single-negative materials,” J. Appl. Phys. 98, 013101 (2005).
[CrossRef]

Chen, L.

Z. Wang, L. Wang, Y. Wu, L. Chen, X. Chen, and W. Lu, “Multiple channeled phenomena in heterostructures with defects mode,” Appl. Phys. Lett. 84, 1629-1631(2004).
[CrossRef]

Chen, X.

S. W. Wang, X. Chen, W. Lu, M. Li, and H. Wang, “Fractal independently tunable multichannel filters,” Appl. Phys. Lett. 90, 211113 (2007).
[CrossRef]

Z. Wang, L. Wang, Y. Wu, L. Chen, X. Chen, and W. Lu, “Multiple channeled phenomena in heterostructures with defects mode,” Appl. Phys. Lett. 84, 1629-1631(2004).
[CrossRef]

Chen, Y.

Y. Chen, “Tunable omnidirectional multichannel filters based on dual-defective photonic crystals containing negative-index materials,” J. Phys. D 42, 075106 (2009).
[CrossRef]

Dai, X.

Dressel, M.

Duvillaret, L.

Fan, D.

Feng, D.

Z. Wang, R. W. Peng, F. Qiu, X. Q. Huang, M. Wang, A. Hu, S. S. Jiang, and D. Feng, “Selectable-frequency and tunable-Q perfect transmissions of electromagnetic waves in dielectric heterostructures,” Appl. Phys. Lett. 84, 3969-3971(2004).
[CrossRef]

Hu, A.

Z. Wang, R. W. Peng, F. Qiu, X. Q. Huang, M. Wang, A. Hu, S. S. Jiang, and D. Feng, “Selectable-frequency and tunable-Q perfect transmissions of electromagnetic waves in dielectric heterostructures,” Appl. Phys. Lett. 84, 3969-3971(2004).
[CrossRef]

Huang, X. Q.

Z. Wang, R. W. Peng, F. Qiu, X. Q. Huang, M. Wang, A. Hu, S. S. Jiang, and D. Feng, “Selectable-frequency and tunable-Q perfect transmissions of electromagnetic waves in dielectric heterostructures,” Appl. Phys. Lett. 84, 3969-3971(2004).
[CrossRef]

Jiang, H.

H. Jiang, H. Chen, H. Li, Y. Zhang, and S. Zhu, “Compact high-Q filters based on one-dimensional photonic crystals containing single-negative materials,” J. Appl. Phys. 98, 013101 (2005).
[CrossRef]

Jiang, S. S.

Z. Wang, R. W. Peng, F. Qiu, X. Q. Huang, M. Wang, A. Hu, S. S. Jiang, and D. Feng, “Selectable-frequency and tunable-Q perfect transmissions of electromagnetic waves in dielectric heterostructures,” Appl. Phys. Lett. 84, 3969-3971(2004).
[CrossRef]

John, S.

S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58, 2486-2489 (1987).
[CrossRef] [PubMed]

Kuzel, P.

Lee, R. K.

Li, C.

K. Xu, X. Zheng, C. Li, and W. She, “Design of omnidirectional and multiple channeled filters using one-dimensional photonic crystals containing a defect layer with a negative refractive index,” Phys. Rev. E 71, 066604 (2002).
[CrossRef]

Li, H.

H. Jiang, H. Chen, H. Li, Y. Zhang, and S. Zhu, “Compact high-Q filters based on one-dimensional photonic crystals containing single-negative materials,” J. Appl. Phys. 98, 013101 (2005).
[CrossRef]

Li, M.

S. W. Wang, X. Chen, W. Lu, M. Li, and H. Wang, “Fractal independently tunable multichannel filters,” Appl. Phys. Lett. 90, 211113 (2007).
[CrossRef]

Lu, H.

Q. Qin, H. Lu, S. N. Zhu, C. S. Yuan, Y. Y. Zhu, and N. B. Ming, “Resonance transmission modes in dual-periodical dielectric multilayer films,” Appl. Phys. Lett. 82, 4654-4656(2003).
[CrossRef]

Lu, W.

S. W. Wang, X. Chen, W. Lu, M. Li, and H. Wang, “Fractal independently tunable multichannel filters,” Appl. Phys. Lett. 90, 211113 (2007).
[CrossRef]

Z. Wang, L. Wang, Y. Wu, L. Chen, X. Chen, and W. Lu, “Multiple channeled phenomena in heterostructures with defects mode,” Appl. Phys. Lett. 84, 1629-1631(2004).
[CrossRef]

Ming, N. B.

Q. Qin, H. Lu, S. N. Zhu, C. S. Yuan, Y. Y. Zhu, and N. B. Ming, “Resonance transmission modes in dual-periodical dielectric multilayer films,” Appl. Phys. Lett. 82, 4654-4656(2003).
[CrossRef]

Nemec, H.

Pashkin, A.

Peng, R. W.

Z. Wang, R. W. Peng, F. Qiu, X. Q. Huang, M. Wang, A. Hu, S. S. Jiang, and D. Feng, “Selectable-frequency and tunable-Q perfect transmissions of electromagnetic waves in dielectric heterostructures,” Appl. Phys. Lett. 84, 3969-3971(2004).
[CrossRef]

Qiao, F.

F. Qiao, C. Zhang, J. Wan, and J. Zi, “Photonic quantum-well structures: multiple channeled filtering phenomena,” Appl. Phys. Lett. 77, 3698-3700 (2000).
[CrossRef]

Qin, Q.

Q. Qin, H. Lu, S. N. Zhu, C. S. Yuan, Y. Y. Zhu, and N. B. Ming, “Resonance transmission modes in dual-periodical dielectric multilayer films,” Appl. Phys. Lett. 82, 4654-4656(2003).
[CrossRef]

Qiu, F.

Z. Wang, R. W. Peng, F. Qiu, X. Q. Huang, M. Wang, A. Hu, S. S. Jiang, and D. Feng, “Selectable-frequency and tunable-Q perfect transmissions of electromagnetic waves in dielectric heterostructures,” Appl. Phys. Lett. 84, 3969-3971(2004).
[CrossRef]

Scherer, A.

Sebastian, M. T.

She, W.

K. Xu, X. Zheng, C. Li, and W. She, “Design of omnidirectional and multiple channeled filters using one-dimensional photonic crystals containing a defect layer with a negative refractive index,” Phys. Rev. E 71, 066604 (2002).
[CrossRef]

Wan, J.

F. Qiao, C. Zhang, J. Wan, and J. Zi, “Photonic quantum-well structures: multiple channeled filtering phenomena,” Appl. Phys. Lett. 77, 3698-3700 (2000).
[CrossRef]

Wang, H.

S. W. Wang, X. Chen, W. Lu, M. Li, and H. Wang, “Fractal independently tunable multichannel filters,” Appl. Phys. Lett. 90, 211113 (2007).
[CrossRef]

Wang, L.

Z. Wang, L. Wang, Y. Wu, L. Chen, X. Chen, and W. Lu, “Multiple channeled phenomena in heterostructures with defects mode,” Appl. Phys. Lett. 84, 1629-1631(2004).
[CrossRef]

Wang, M.

Z. Wang, R. W. Peng, F. Qiu, X. Q. Huang, M. Wang, A. Hu, S. S. Jiang, and D. Feng, “Selectable-frequency and tunable-Q perfect transmissions of electromagnetic waves in dielectric heterostructures,” Appl. Phys. Lett. 84, 3969-3971(2004).
[CrossRef]

Wang, S. W.

S. W. Wang, X. Chen, W. Lu, M. Li, and H. Wang, “Fractal independently tunable multichannel filters,” Appl. Phys. Lett. 90, 211113 (2007).
[CrossRef]

Wang, Z.

Z. Wang, L. Wang, Y. Wu, L. Chen, X. Chen, and W. Lu, “Multiple channeled phenomena in heterostructures with defects mode,” Appl. Phys. Lett. 84, 1629-1631(2004).
[CrossRef]

Z. Wang, R. W. Peng, F. Qiu, X. Q. Huang, M. Wang, A. Hu, S. S. Jiang, and D. Feng, “Selectable-frequency and tunable-Q perfect transmissions of electromagnetic waves in dielectric heterostructures,” Appl. Phys. Lett. 84, 3969-3971(2004).
[CrossRef]

Wen, S.

Wu, Y.

Z. Wang, L. Wang, Y. Wu, L. Chen, X. Chen, and W. Lu, “Multiple channeled phenomena in heterostructures with defects mode,” Appl. Phys. Lett. 84, 1629-1631(2004).
[CrossRef]

Xiang, Y.

Xu, K.

K. Xu, X. Zheng, C. Li, and W. She, “Design of omnidirectional and multiple channeled filters using one-dimensional photonic crystals containing a defect layer with a negative refractive index,” Phys. Rev. E 71, 066604 (2002).
[CrossRef]

Xu, Y.

Yablonovitch, E.

E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58, 2059-2062 (1987).
[CrossRef] [PubMed]

Yariv, A.

Yuan, C. S.

Q. Qin, H. Lu, S. N. Zhu, C. S. Yuan, Y. Y. Zhu, and N. B. Ming, “Resonance transmission modes in dual-periodical dielectric multilayer films,” Appl. Phys. Lett. 82, 4654-4656(2003).
[CrossRef]

Zhang, C.

F. Qiao, C. Zhang, J. Wan, and J. Zi, “Photonic quantum-well structures: multiple channeled filtering phenomena,” Appl. Phys. Lett. 77, 3698-3700 (2000).
[CrossRef]

Zhang, Y.

H. Jiang, H. Chen, H. Li, Y. Zhang, and S. Zhu, “Compact high-Q filters based on one-dimensional photonic crystals containing single-negative materials,” J. Appl. Phys. 98, 013101 (2005).
[CrossRef]

Zheng, X.

K. Xu, X. Zheng, C. Li, and W. She, “Design of omnidirectional and multiple channeled filters using one-dimensional photonic crystals containing a defect layer with a negative refractive index,” Phys. Rev. E 71, 066604 (2002).
[CrossRef]

Zhu, S.

H. Jiang, H. Chen, H. Li, Y. Zhang, and S. Zhu, “Compact high-Q filters based on one-dimensional photonic crystals containing single-negative materials,” J. Appl. Phys. 98, 013101 (2005).
[CrossRef]

Zhu, S. N.

Q. Qin, H. Lu, S. N. Zhu, C. S. Yuan, Y. Y. Zhu, and N. B. Ming, “Resonance transmission modes in dual-periodical dielectric multilayer films,” Appl. Phys. Lett. 82, 4654-4656(2003).
[CrossRef]

Zhu, Y. Y.

Q. Qin, H. Lu, S. N. Zhu, C. S. Yuan, Y. Y. Zhu, and N. B. Ming, “Resonance transmission modes in dual-periodical dielectric multilayer films,” Appl. Phys. Lett. 82, 4654-4656(2003).
[CrossRef]

Zi, J.

F. Qiao, C. Zhang, J. Wan, and J. Zi, “Photonic quantum-well structures: multiple channeled filtering phenomena,” Appl. Phys. Lett. 77, 3698-3700 (2000).
[CrossRef]

Appl. Phys. Lett. (5)

Z. Wang, L. Wang, Y. Wu, L. Chen, X. Chen, and W. Lu, “Multiple channeled phenomena in heterostructures with defects mode,” Appl. Phys. Lett. 84, 1629-1631(2004).
[CrossRef]

F. Qiao, C. Zhang, J. Wan, and J. Zi, “Photonic quantum-well structures: multiple channeled filtering phenomena,” Appl. Phys. Lett. 77, 3698-3700 (2000).
[CrossRef]

S. W. Wang, X. Chen, W. Lu, M. Li, and H. Wang, “Fractal independently tunable multichannel filters,” Appl. Phys. Lett. 90, 211113 (2007).
[CrossRef]

Z. Wang, R. W. Peng, F. Qiu, X. Q. Huang, M. Wang, A. Hu, S. S. Jiang, and D. Feng, “Selectable-frequency and tunable-Q perfect transmissions of electromagnetic waves in dielectric heterostructures,” Appl. Phys. Lett. 84, 3969-3971(2004).
[CrossRef]

Q. Qin, H. Lu, S. N. Zhu, C. S. Yuan, Y. Y. Zhu, and N. B. Ming, “Resonance transmission modes in dual-periodical dielectric multilayer films,” Appl. Phys. Lett. 82, 4654-4656(2003).
[CrossRef]

J. Appl. Phys. (1)

H. Jiang, H. Chen, H. Li, Y. Zhang, and S. Zhu, “Compact high-Q filters based on one-dimensional photonic crystals containing single-negative materials,” J. Appl. Phys. 98, 013101 (2005).
[CrossRef]

J. Phys. D (1)

Y. Chen, “Tunable omnidirectional multichannel filters based on dual-defective photonic crystals containing negative-index materials,” J. Phys. D 42, 075106 (2009).
[CrossRef]

Opt. Lett. (3)

Phys. Rev. E (1)

K. Xu, X. Zheng, C. Li, and W. She, “Design of omnidirectional and multiple channeled filters using one-dimensional photonic crystals containing a defect layer with a negative refractive index,” Phys. Rev. E 71, 066604 (2002).
[CrossRef]

Phys. Rev. Lett. (2)

S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58, 2486-2489 (1987).
[CrossRef] [PubMed]

E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58, 2059-2062 (1987).
[CrossRef] [PubMed]

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Figures (8)

Fig. 1
Fig. 1

Schematic structures of 1D PhCs with two resonant modes (a) generated by a thick defect and (b) generated by the interaction of two identical defects.

Fig. 2
Fig. 2

Transmission spectra of multilayer films. The solid line shows that of the structure in Fig. 1a, ( AB ) 18 C ( BA ) 18 ; the width of layer C is 17 × λ 0 4 ; the dashed and dash dotted lines denote that of structure 1 ( AB ) DB ( AB ) 16 C ( BA ) 16 BD ( BA ) and structure 2 ( AB ) 2 DB ( AB ) 15 C ( BA ) 15 BD ( BA ) 2 , respectively.

Fig. 3
Fig. 3

Transmission spectra of multilayer films. The solid line shows that of the structure in Fig. 1b, ( AB ) 18 C ( BA ) 3 BC ( BA ) 18 ; the dashed and dash dotted lines indicate that of structure 3 ( AB ) DB ( AB ) 16 C ( BA ) 3 BC ( BA ) 16 BD ( BA ) and structure 4 ( AB ) 2 DB ( AB ) 15 C ( BA ) 2 BC ( BA ) 15 BD ( BA ) 2 , respectively.

Fig. 4
Fig. 4

(a) Transmission spectra in 10 times simulations. The arrow lines indicate the peak frequency in the standard structure. The simulated results for (b) the frequency deviations and (c) the Q value deviations in the 10 times simulations while fixing the thickness of defect layers D and C but introducing normal distribution into layers A and B based on the structure ( AB ) 2 DB ( AB ) 15 C ( BA ) 15 BD ( BA ) 2 .

Fig. 5
Fig. 5

Transmission spectrum of multilayer film ( AB ) 18 C ( BA ) 18 is shown in the solid line, where the width of layer C is 28 × λ 0 4 . The dashed and dash dotted lines denote the spectra of structure 5 ( AB ) DB ( AB ) 16 C ( BA ) 16 BD ( BA ) and structure 6 ( AB ) 2 DB ( AB ) 15 C ( BA ) 15 BD ( BA ) 2 , respectively, where the optical thickness of D is 2 × λ 0 4 .

Fig. 6
Fig. 6

Transmission spectra of multilayer films based on the structure ( AB ) 2 DB ( AB ) 16 C ( BA ) 16 BD ( BA ) 2 . The solid line in (a) and (b) is for ( AB ) 18 C ( BA ) 18 , where the width of layer C is 28 × λ 0 4 ; (a) The Q value of defect mode 1 is tuned as shown by the dashed line, where the width of the D layer is 365 nm ; (b) the Q value of defect mode 3 is tuned as denoted by the dashed line, where the width of the D layer is 343 nm .

Fig. 7
Fig. 7

Transmission spectra of multilayer films. The solid line is for ( AB ) 18 C ( BA ) 18 , where the width of layer C is 28 × λ 0 4 ; the dashed line denotes that of structure 7 ( AB ) DB ( AB ) 16 C ( BA ) 16 BD ( BA ) , where the thickness of D is 7 × λ 0 4 .

Fig. 8
Fig. 8

Transmission spectra of multilayer films. The solid line is for ( AB ) 18 C ( BA ) 18 , where the width of layer C is 45 × λ 0 4 ; the dashed line denotes that of structure ( AB ) DB ( AB ) 16 C ( BA ) 16 BD ( BA ) , where the thickness of D is 342 nm .

Tables (1)

Tables Icon

Table 1 Examples for Adjusting Three-Channel Filter Independently

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