Abstract

We propose a novel silicon-based comb filter with tunable channel spacing using a Michelson interferometer consisting of a pair of apodized linearly chirped Bragg gratings (ALC-BGs). The channel spacing of the proposed comb filter can be continuously tuned with a large tuning range by changing the effective refractive index of one of the ALC-BGs through the thermo-optic effect. Our numerical calculation shows that the channel spacing can be continuously tuned form 8.21 nm to 0.19 nm with an out-of-band rejection ratio of greater than 30 dB.

© 2014 Optical Society of America

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  30. D. Pastor, J. Capmany, D. Ortega, V. Tatay, and J. Marti, “Design of apodized linearly chirped fiber gratings for dispersion compensation,” J. Lightwave Technol. 14(11), 2581–2588 (1996).
    [CrossRef]
  31. K. Ennser, M. N. Zervas, and R. L. Laming, “Optimization of apodized linearly chirped fiber gratings for optical communications,” IEEE J. Quantum Electron. 34(5), 770–778 (1998).
    [CrossRef]
  32. L. Zhou, X. Zhang, L. Lu, and J. Chen, “Tunable vernier microring optical filters with p-i-p type microheaters,” IEEE Photon. J. 5(4), 6601211 (2013).
    [CrossRef]

2014 (2)

L. Xiang, D. Gao, Y. Yu, M. Ye, B. Zou, and X. Zhang, “Silicon-Based Integrated Comb Filter and Demultiplexer for Simultaneous WDM Signal Processing,” IEEE J. Sel. Top. Quantum Electron. 20(4), 8200208 (2014).
[CrossRef]

Z. Zhao, M. Tang, H. Liao, G. Ren, S. Fu, F. Yang, P. P. Shum, and D. Liu, “Programmable multi-wavelength filter with Mach-Zehnder interferometer embedded in ethanol filled photonic crystal fiber,” Opt. Lett. 39(7), 2194–2197 (2014).
[CrossRef] [PubMed]

2013 (6)

2012 (4)

2011 (3)

2010 (2)

2009 (2)

D. T. H. Tan, K. Ikeda, and Y. Fainman, “Coupled chirped vertical gratings for on chip group velocity dispersion engineering,” Appl. Phys. Lett. 95(14), 141109 (2009).
[CrossRef]

Y. Zhang, E. Xu, D. Huang, and X. Zhang, “All-optical format conversion from RZ to NRZ utilizing microfiber resonator,” IEEE Photon. Technol. Lett. 21(17), 1202–1204 (2009).
[CrossRef]

2008 (2)

B. G. Lee, A. Biberman, P. Dong, M. Lipson, and K. Bergman, “All-optical comb switch for multiwavelength message routing in silicon photonic networks,” IEEE Photon. Technol. Lett. 20(10), 767–769 (2008).
[CrossRef]

Y. W. Lee, H.-T. Kim, and Y. W. Lee, “Second-order all-fiber comb filter based on polarization-diversity loop configuration,” Opt. Express 16(6), 3871–3876 (2008).
[CrossRef] [PubMed]

2007 (3)

2006 (2)

S. Roh, S. Chung, Y. W. Lee, I. Yoon, and B. Lee, “Channel-Spacing- and Wavelength-Tunable Multiwavelength Fiber Ring Laser Using Semiconductor Optical Amplifier,” IEEE Photon. Technol. Lett. 18(21), 2302–2304 (2006).
[CrossRef]

M. P. Fok, C. Shu, and W. W. Tang, “A Cascadable Approach to Produce Widely Selectable Spectral Spacing in Birefringent Comb Filters,” IEEE Photon. Technol. Lett. 18(18), 1937–1939 (2006).
[CrossRef]

1998 (1)

K. Ennser, M. N. Zervas, and R. L. Laming, “Optimization of apodized linearly chirped fiber gratings for optical communications,” IEEE J. Quantum Electron. 34(5), 770–778 (1998).
[CrossRef]

1996 (1)

D. Pastor, J. Capmany, D. Ortega, V. Tatay, and J. Marti, “Design of apodized linearly chirped fiber gratings for dispersion compensation,” J. Lightwave Technol. 14(11), 2581–2588 (1996).
[CrossRef]

1993 (1)

L. Poladian, “Graphical and WKB analysis of nonuniform Bragg gratings,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 48(6), 4758–4767 (1993).
[CrossRef] [PubMed]

Aimez, V.

V. Veerasubramanian, G. Beaudin, A. Giguere, B. Le Drogoff, V. Aimez, and A. G. Kirk, “Design and Demonstration of Apodized Comb Filters on SOI,” IEEE Photon. J. 4(4), 1133–1139 (2012).
[CrossRef]

Beaudin, G.

V. Veerasubramanian, G. Beaudin, A. Giguere, B. Le Drogoff, V. Aimez, and A. G. Kirk, “Design and Demonstration of Apodized Comb Filters on SOI,” IEEE Photon. J. 4(4), 1133–1139 (2012).
[CrossRef]

Bergman, K.

B. G. Lee, A. Biberman, P. Dong, M. Lipson, and K. Bergman, “All-optical comb switch for multiwavelength message routing in silicon photonic networks,” IEEE Photon. Technol. Lett. 20(10), 767–769 (2008).
[CrossRef]

Biberman, A.

B. G. Lee, A. Biberman, P. Dong, M. Lipson, and K. Bergman, “All-optical comb switch for multiwavelength message routing in silicon photonic networks,” IEEE Photon. Technol. Lett. 20(10), 767–769 (2008).
[CrossRef]

Bruns, J.

I. Giuntoni, D. Stolarek, J. Bruns, L. Zimmermann, B. Tillack, and K. Petermann, “Integrated Dispersion Compensator Based on Apodized SOI Bragg Gratings,” IEEE Photon. Technol. Lett. 25(14), 1313–1316 (2013).
[CrossRef]

I. Giuntoni, D. Stolarek, D. I. Kroushkov, J. Bruns, L. Zimmermann, B. Tillack, and K. Petermann, “Continuously tunable delay line based on SOI tapered Bragg gratings,” Opt. Express 20(10), 11241–11246 (2012).
[CrossRef] [PubMed]

Cao, W.

Capmany, J.

D. Pastor, J. Capmany, D. Ortega, V. Tatay, and J. Marti, “Design of apodized linearly chirped fiber gratings for dispersion compensation,” J. Lightwave Technol. 14(11), 2581–2588 (1996).
[CrossRef]

Cheben, P.

Chen, D.

Chen, J.

X. Sun, L. Zhou, J. Xie, Z. Zou, L. Lu, H. Zhu, X. Li, and J. Chen, “Tunable silicon Fabry-Perot comb filters formed by Sagnac loop mirrors,” Opt. Lett. 38(4), 567–569 (2013).
[CrossRef] [PubMed]

L. Zhou, X. Zhang, L. Lu, and J. Chen, “Tunable vernier microring optical filters with p-i-p type microheaters,” IEEE Photon. J. 5(4), 6601211 (2013).
[CrossRef]

Chung, S.

S. Roh, S. Chung, Y. W. Lee, I. Yoon, and B. Lee, “Channel-Spacing- and Wavelength-Tunable Multiwavelength Fiber Ring Laser Using Semiconductor Optical Amplifier,” IEEE Photon. Technol. Lett. 18(21), 2302–2304 (2006).
[CrossRef]

Delâge, A.

Densmore, A.

Ding, Y.

Dong, P.

B. G. Lee, A. Biberman, P. Dong, M. Lipson, and K. Bergman, “All-optical comb switch for multiwavelength message routing in silicon photonic networks,” IEEE Photon. Technol. Lett. 20(10), 767–769 (2008).
[CrossRef]

P. Dong, S. F. Preble, and M. Lipson, “All-optical compact silicon comb switch,” Opt. Express 15(15), 9600–9605 (2007).
[CrossRef] [PubMed]

Dong, X.

Ennser, K.

K. Ennser, M. N. Zervas, and R. L. Laming, “Optimization of apodized linearly chirped fiber gratings for optical communications,” IEEE J. Quantum Electron. 34(5), 770–778 (1998).
[CrossRef]

Fainman, Y.

D. T. H. Tan, K. Ikeda, and Y. Fainman, “Coupled chirped vertical gratings for on chip group velocity dispersion engineering,” Appl. Phys. Lett. 95(14), 141109 (2009).
[CrossRef]

Fathpour, S.

Fok, M. P.

M. P. Fok, C. Shu, and W. W. Tang, “A Cascadable Approach to Produce Widely Selectable Spectral Spacing in Birefringent Comb Filters,” IEEE Photon. Technol. Lett. 18(18), 1937–1939 (2006).
[CrossRef]

Fresi, F.

Fu, S.

Gao, D.

L. Xiang, D. Gao, Y. Yu, M. Ye, B. Zou, and X. Zhang, “Silicon-Based Integrated Comb Filter and Demultiplexer for Simultaneous WDM Signal Processing,” IEEE J. Sel. Top. Quantum Electron. 20(4), 8200208 (2014).
[CrossRef]

Giguere, A.

V. Veerasubramanian, G. Beaudin, A. Giguere, B. Le Drogoff, V. Aimez, and A. G. Kirk, “Design and Demonstration of Apodized Comb Filters on SOI,” IEEE Photon. J. 4(4), 1133–1139 (2012).
[CrossRef]

Giuntoni, I.

I. Giuntoni, D. Stolarek, J. Bruns, L. Zimmermann, B. Tillack, and K. Petermann, “Integrated Dispersion Compensator Based on Apodized SOI Bragg Gratings,” IEEE Photon. Technol. Lett. 25(14), 1313–1316 (2013).
[CrossRef]

I. Giuntoni, D. Stolarek, D. I. Kroushkov, J. Bruns, L. Zimmermann, B. Tillack, and K. Petermann, “Continuously tunable delay line based on SOI tapered Bragg gratings,” Opt. Express 20(10), 11241–11246 (2012).
[CrossRef] [PubMed]

Guo, Y. H.

L. S. Yan, J. Ye, H. Y. Jiang, W. Pan, B. Luo, A. L. Yi, Y. H. Guo, and X. S. Yao, “A Photonic Comb Filter With Independently and Digitally Tunable Bandwidth and Frequency Spacing,” IEEE Photon. Technol. Lett. 23(13), 857–859 (2011).
[CrossRef]

Han, Y. G.

He, S.

Huang, D.

Huo, Z.

Ikeda, K.

D. T. H. Tan, K. Ikeda, and Y. Fainman, “Coupled chirped vertical gratings for on chip group velocity dispersion engineering,” Appl. Phys. Lett. 95(14), 141109 (2009).
[CrossRef]

Janz, S.

Jiang, H. Y.

L. S. Yan, J. Ye, H. Y. Jiang, W. Pan, B. Luo, A. L. Yi, Y. H. Guo, and X. S. Yao, “A Photonic Comb Filter With Independently and Digitally Tunable Bandwidth and Frequency Spacing,” IEEE Photon. Technol. Lett. 23(13), 857–859 (2011).
[CrossRef]

H. Y. Jiang, L. S. Yan, J. Ye, W. Pan, B. Luo, and X. S. Yao, “Comb filter with independently tunable wavelength spacing and bandwidth using cascaded variable differential group delay elements,” Opt. Lett. 36(12), 2305–2307 (2011).
[CrossRef] [PubMed]

Jin, W.

Khan, S.

Kim, H.-T.

Kirk, A. G.

V. Veerasubramanian, G. Beaudin, A. Giguere, B. Le Drogoff, V. Aimez, and A. G. Kirk, “Design and Demonstration of Apodized Comb Filters on SOI,” IEEE Photon. J. 4(4), 1133–1139 (2012).
[CrossRef]

Kroushkov, D. I.

Laming, R. L.

K. Ennser, M. N. Zervas, and R. L. Laming, “Optimization of apodized linearly chirped fiber gratings for optical communications,” IEEE J. Quantum Electron. 34(5), 770–778 (1998).
[CrossRef]

Lapointe, J.

Le Drogoff, B.

V. Veerasubramanian, G. Beaudin, A. Giguere, B. Le Drogoff, V. Aimez, and A. G. Kirk, “Design and Demonstration of Apodized Comb Filters on SOI,” IEEE Photon. J. 4(4), 1133–1139 (2012).
[CrossRef]

Lee, B.

S. Roh, S. Chung, Y. W. Lee, I. Yoon, and B. Lee, “Channel-Spacing- and Wavelength-Tunable Multiwavelength Fiber Ring Laser Using Semiconductor Optical Amplifier,” IEEE Photon. Technol. Lett. 18(21), 2302–2304 (2006).
[CrossRef]

Lee, B. G.

B. G. Lee, A. Biberman, P. Dong, M. Lipson, and K. Bergman, “All-optical comb switch for multiwavelength message routing in silicon photonic networks,” IEEE Photon. Technol. Lett. 20(10), 767–769 (2008).
[CrossRef]

Lee, J. H.

Lee, Y. W.

Li, X.

Liao, H.

Lipson, M.

B. G. Lee, A. Biberman, P. Dong, M. Lipson, and K. Bergman, “All-optical comb switch for multiwavelength message routing in silicon photonic networks,” IEEE Photon. Technol. Lett. 20(10), 767–769 (2008).
[CrossRef]

P. Dong, S. F. Preble, and M. Lipson, “All-optical compact silicon comb switch,” Opt. Express 15(15), 9600–9605 (2007).
[CrossRef] [PubMed]

Liu, D.

Liu, L.

Lu, L.

L. Zhou, X. Zhang, L. Lu, and J. Chen, “Tunable vernier microring optical filters with p-i-p type microheaters,” IEEE Photon. J. 5(4), 6601211 (2013).
[CrossRef]

X. Sun, L. Zhou, J. Xie, Z. Zou, L. Lu, H. Zhu, X. Li, and J. Chen, “Tunable silicon Fabry-Perot comb filters formed by Sagnac loop mirrors,” Opt. Lett. 38(4), 567–569 (2013).
[CrossRef] [PubMed]

Luo, A.

Luo, B.

H. Y. Jiang, L. S. Yan, J. Ye, W. Pan, B. Luo, and X. S. Yao, “Comb filter with independently tunable wavelength spacing and bandwidth using cascaded variable differential group delay elements,” Opt. Lett. 36(12), 2305–2307 (2011).
[CrossRef] [PubMed]

L. S. Yan, J. Ye, H. Y. Jiang, W. Pan, B. Luo, A. L. Yi, Y. H. Guo, and X. S. Yao, “A Photonic Comb Filter With Independently and Digitally Tunable Bandwidth and Frequency Spacing,” IEEE Photon. Technol. Lett. 23(13), 857–859 (2011).
[CrossRef]

Luo, Z.

Ma, R.

Marti, J.

D. Pastor, J. Capmany, D. Ortega, V. Tatay, and J. Marti, “Design of apodized linearly chirped fiber gratings for dispersion compensation,” J. Lightwave Technol. 14(11), 2581–2588 (1996).
[CrossRef]

McKinnon, R.

Ortega, D.

D. Pastor, J. Capmany, D. Ortega, V. Tatay, and J. Marti, “Design of apodized linearly chirped fiber gratings for dispersion compensation,” J. Lightwave Technol. 14(11), 2581–2588 (1996).
[CrossRef]

Ou, H.

Pan, W.

L. S. Yan, J. Ye, H. Y. Jiang, W. Pan, B. Luo, A. L. Yi, Y. H. Guo, and X. S. Yao, “A Photonic Comb Filter With Independently and Digitally Tunable Bandwidth and Frequency Spacing,” IEEE Photon. Technol. Lett. 23(13), 857–859 (2011).
[CrossRef]

H. Y. Jiang, L. S. Yan, J. Ye, W. Pan, B. Luo, and X. S. Yao, “Comb filter with independently tunable wavelength spacing and bandwidth using cascaded variable differential group delay elements,” Opt. Lett. 36(12), 2305–2307 (2011).
[CrossRef] [PubMed]

Pastor, D.

D. Pastor, J. Capmany, D. Ortega, V. Tatay, and J. Marti, “Design of apodized linearly chirped fiber gratings for dispersion compensation,” J. Lightwave Technol. 14(11), 2581–2588 (1996).
[CrossRef]

Petermann, K.

I. Giuntoni, D. Stolarek, J. Bruns, L. Zimmermann, B. Tillack, and K. Petermann, “Integrated Dispersion Compensator Based on Apodized SOI Bragg Gratings,” IEEE Photon. Technol. Lett. 25(14), 1313–1316 (2013).
[CrossRef]

I. Giuntoni, D. Stolarek, D. I. Kroushkov, J. Bruns, L. Zimmermann, B. Tillack, and K. Petermann, “Continuously tunable delay line based on SOI tapered Bragg gratings,” Opt. Express 20(10), 11241–11246 (2012).
[CrossRef] [PubMed]

Peucheret, C.

Poladian, L.

L. Poladian, “Graphical and WKB analysis of nonuniform Bragg gratings,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 48(6), 4758–4767 (1993).
[CrossRef] [PubMed]

Poti, L.

Preble, S. F.

Pu, M.

Qin, S.

Ren, G.

Roh, S.

S. Roh, S. Chung, Y. W. Lee, I. Yoon, and B. Lee, “Channel-Spacing- and Wavelength-Tunable Multiwavelength Fiber Ring Laser Using Semiconductor Optical Amplifier,” IEEE Photon. Technol. Lett. 18(21), 2302–2304 (2006).
[CrossRef]

Schmid, J. H.

Seoane, J.

Shu, C.

M. P. Fok, C. Shu, and W. W. Tang, “A Cascadable Approach to Produce Widely Selectable Spectral Spacing in Birefringent Comb Filters,” IEEE Photon. Technol. Lett. 18(18), 1937–1939 (2006).
[CrossRef]

Shum, P. P.

Song, T.

Stolarek, D.

I. Giuntoni, D. Stolarek, J. Bruns, L. Zimmermann, B. Tillack, and K. Petermann, “Integrated Dispersion Compensator Based on Apodized SOI Bragg Gratings,” IEEE Photon. Technol. Lett. 25(14), 1313–1316 (2013).
[CrossRef]

I. Giuntoni, D. Stolarek, D. I. Kroushkov, J. Bruns, L. Zimmermann, B. Tillack, and K. Petermann, “Continuously tunable delay line based on SOI tapered Bragg gratings,” Opt. Express 20(10), 11241–11246 (2012).
[CrossRef] [PubMed]

Sun, X.

Tan, D. T. H.

D. T. H. Tan, K. Ikeda, and Y. Fainman, “Coupled chirped vertical gratings for on chip group velocity dispersion engineering,” Appl. Phys. Lett. 95(14), 141109 (2009).
[CrossRef]

Tang, M.

Tang, W. W.

M. P. Fok, C. Shu, and W. W. Tang, “A Cascadable Approach to Produce Widely Selectable Spectral Spacing in Birefringent Comb Filters,” IEEE Photon. Technol. Lett. 18(18), 1937–1939 (2006).
[CrossRef]

Tatay, V.

D. Pastor, J. Capmany, D. Ortega, V. Tatay, and J. Marti, “Design of apodized linearly chirped fiber gratings for dispersion compensation,” J. Lightwave Technol. 14(11), 2581–2588 (1996).
[CrossRef]

Tillack, B.

I. Giuntoni, D. Stolarek, J. Bruns, L. Zimmermann, B. Tillack, and K. Petermann, “Integrated Dispersion Compensator Based on Apodized SOI Bragg Gratings,” IEEE Photon. Technol. Lett. 25(14), 1313–1316 (2013).
[CrossRef]

I. Giuntoni, D. Stolarek, D. I. Kroushkov, J. Bruns, L. Zimmermann, B. Tillack, and K. Petermann, “Continuously tunable delay line based on SOI tapered Bragg gratings,” Opt. Express 20(10), 11241–11246 (2012).
[CrossRef] [PubMed]

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Veerasubramanian, V.

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[CrossRef]

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L. Xiang, D. Gao, Y. Yu, M. Ye, B. Zou, and X. Zhang, “Silicon-Based Integrated Comb Filter and Demultiplexer for Simultaneous WDM Signal Processing,” IEEE J. Sel. Top. Quantum Electron. 20(4), 8200208 (2014).
[CrossRef]

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Xu, D. X.

Xu, E.

Y. Zhang, E. Xu, D. Huang, and X. Zhang, “All-optical format conversion from RZ to NRZ utilizing microfiber resonator,” IEEE Photon. Technol. Lett. 21(17), 1202–1204 (2009).
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Xu, W.

Xuan, H.

Yan, L. S.

H. Y. Jiang, L. S. Yan, J. Ye, W. Pan, B. Luo, and X. S. Yao, “Comb filter with independently tunable wavelength spacing and bandwidth using cascaded variable differential group delay elements,” Opt. Lett. 36(12), 2305–2307 (2011).
[CrossRef] [PubMed]

L. S. Yan, J. Ye, H. Y. Jiang, W. Pan, B. Luo, A. L. Yi, Y. H. Guo, and X. S. Yao, “A Photonic Comb Filter With Independently and Digitally Tunable Bandwidth and Frequency Spacing,” IEEE Photon. Technol. Lett. 23(13), 857–859 (2011).
[CrossRef]

Yang, F.

Yao, X. S.

L. S. Yan, J. Ye, H. Y. Jiang, W. Pan, B. Luo, A. L. Yi, Y. H. Guo, and X. S. Yao, “A Photonic Comb Filter With Independently and Digitally Tunable Bandwidth and Frequency Spacing,” IEEE Photon. Technol. Lett. 23(13), 857–859 (2011).
[CrossRef]

H. Y. Jiang, L. S. Yan, J. Ye, W. Pan, B. Luo, and X. S. Yao, “Comb filter with independently tunable wavelength spacing and bandwidth using cascaded variable differential group delay elements,” Opt. Lett. 36(12), 2305–2307 (2011).
[CrossRef] [PubMed]

Ye, J.

H. Y. Jiang, L. S. Yan, J. Ye, W. Pan, B. Luo, and X. S. Yao, “Comb filter with independently tunable wavelength spacing and bandwidth using cascaded variable differential group delay elements,” Opt. Lett. 36(12), 2305–2307 (2011).
[CrossRef] [PubMed]

L. S. Yan, J. Ye, H. Y. Jiang, W. Pan, B. Luo, A. L. Yi, Y. H. Guo, and X. S. Yao, “A Photonic Comb Filter With Independently and Digitally Tunable Bandwidth and Frequency Spacing,” IEEE Photon. Technol. Lett. 23(13), 857–859 (2011).
[CrossRef]

Ye, M.

L. Xiang, D. Gao, Y. Yu, M. Ye, B. Zou, and X. Zhang, “Silicon-Based Integrated Comb Filter and Demultiplexer for Simultaneous WDM Signal Processing,” IEEE J. Sel. Top. Quantum Electron. 20(4), 8200208 (2014).
[CrossRef]

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L. S. Yan, J. Ye, H. Y. Jiang, W. Pan, B. Luo, A. L. Yi, Y. H. Guo, and X. S. Yao, “A Photonic Comb Filter With Independently and Digitally Tunable Bandwidth and Frequency Spacing,” IEEE Photon. Technol. Lett. 23(13), 857–859 (2011).
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L. Xiang, D. Gao, Y. Yu, M. Ye, B. Zou, and X. Zhang, “Silicon-Based Integrated Comb Filter and Demultiplexer for Simultaneous WDM Signal Processing,” IEEE J. Sel. Top. Quantum Electron. 20(4), 8200208 (2014).
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[CrossRef] [PubMed]

Y. Zhang, E. Xu, D. Huang, and X. Zhang, “All-optical format conversion from RZ to NRZ utilizing microfiber resonator,” IEEE Photon. Technol. Lett. 21(17), 1202–1204 (2009).
[CrossRef]

Zhang, Y.

Y. Zhang, E. Xu, D. Huang, and X. Zhang, “All-optical format conversion from RZ to NRZ utilizing microfiber resonator,” IEEE Photon. Technol. Lett. 21(17), 1202–1204 (2009).
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Zhao, Z.

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L. Zhou, X. Zhang, L. Lu, and J. Chen, “Tunable vernier microring optical filters with p-i-p type microheaters,” IEEE Photon. J. 5(4), 6601211 (2013).
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Zimmermann, L.

I. Giuntoni, D. Stolarek, J. Bruns, L. Zimmermann, B. Tillack, and K. Petermann, “Integrated Dispersion Compensator Based on Apodized SOI Bragg Gratings,” IEEE Photon. Technol. Lett. 25(14), 1313–1316 (2013).
[CrossRef]

I. Giuntoni, D. Stolarek, D. I. Kroushkov, J. Bruns, L. Zimmermann, B. Tillack, and K. Petermann, “Continuously tunable delay line based on SOI tapered Bragg gratings,” Opt. Express 20(10), 11241–11246 (2012).
[CrossRef] [PubMed]

Zou, B.

L. Xiang, D. Gao, Y. Yu, M. Ye, B. Zou, and X. Zhang, “Silicon-Based Integrated Comb Filter and Demultiplexer for Simultaneous WDM Signal Processing,” IEEE J. Sel. Top. Quantum Electron. 20(4), 8200208 (2014).
[CrossRef]

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Zsigri, B.

Appl. Phys. Lett. (1)

D. T. H. Tan, K. Ikeda, and Y. Fainman, “Coupled chirped vertical gratings for on chip group velocity dispersion engineering,” Appl. Phys. Lett. 95(14), 141109 (2009).
[CrossRef]

IEEE J. Quantum Electron. (1)

K. Ennser, M. N. Zervas, and R. L. Laming, “Optimization of apodized linearly chirped fiber gratings for optical communications,” IEEE J. Quantum Electron. 34(5), 770–778 (1998).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (1)

L. Xiang, D. Gao, Y. Yu, M. Ye, B. Zou, and X. Zhang, “Silicon-Based Integrated Comb Filter and Demultiplexer for Simultaneous WDM Signal Processing,” IEEE J. Sel. Top. Quantum Electron. 20(4), 8200208 (2014).
[CrossRef]

IEEE Photon. J. (2)

V. Veerasubramanian, G. Beaudin, A. Giguere, B. Le Drogoff, V. Aimez, and A. G. Kirk, “Design and Demonstration of Apodized Comb Filters on SOI,” IEEE Photon. J. 4(4), 1133–1139 (2012).
[CrossRef]

L. Zhou, X. Zhang, L. Lu, and J. Chen, “Tunable vernier microring optical filters with p-i-p type microheaters,” IEEE Photon. J. 5(4), 6601211 (2013).
[CrossRef]

IEEE Photon. Technol. Lett. (6)

I. Giuntoni, D. Stolarek, J. Bruns, L. Zimmermann, B. Tillack, and K. Petermann, “Integrated Dispersion Compensator Based on Apodized SOI Bragg Gratings,” IEEE Photon. Technol. Lett. 25(14), 1313–1316 (2013).
[CrossRef]

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[CrossRef]

S. Roh, S. Chung, Y. W. Lee, I. Yoon, and B. Lee, “Channel-Spacing- and Wavelength-Tunable Multiwavelength Fiber Ring Laser Using Semiconductor Optical Amplifier,” IEEE Photon. Technol. Lett. 18(21), 2302–2304 (2006).
[CrossRef]

Y. Zhang, E. Xu, D. Huang, and X. Zhang, “All-optical format conversion from RZ to NRZ utilizing microfiber resonator,” IEEE Photon. Technol. Lett. 21(17), 1202–1204 (2009).
[CrossRef]

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[CrossRef]

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S. Khan and S. Fathpour, “Demonstration of tunable optical delay lines based on apodized grating waveguides,” Opt. Express 21(17), 19538–19543 (2013).
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Figures (6)

Fig. 1
Fig. 1

(a) Schematic of the proposed silicon comb filter with tunable channel-spacing. Inset shows the cross-sectional schematic of the p-i-p junction-based resistive micro-heater. (b)-(d) illustrate the working principle of the comb filter. The solid purple lines are the comb filter output transmission spectra. The solid black and red lines are the reflection spectra of the two ALC-BGs, and the dashed black and red lines are their corresponding delay spectra. From (b) to (d), the group delay difference increases.

Fig. 2
Fig. 2

Intensity (left plots) and group delay (right plots) spectra of the comb filter and LC-BGs in response to various refractive index changes in Grating 2. The refractive index changes are 0, 8 × 10−4, 1.6 × 10−3, and 3.2 × 10−3 from top to bottom, respectively. The insets in the right plots show the magnified group delay spectra.

Fig. 3
Fig. 3

(a) Refractive index modulation in the gratings. (b) Width of the grating masks (red line) and spaces (black line).

Fig. 4
Fig. 4

Intensity and group delay spectra of the comb filter and ALC-BGs in response to various refractive index changes in Grating 2. The tuning parameters are the same with those in Fig. 2.

Fig. 5
Fig. 5

(a) Waveguide effective refractive index and propagation loss change with tuning power. (b) Channel spacing and number of the comb passbands change with tuning power.

Fig. 6
Fig. 6

(a) Transmission spectrum of the comb filter with tuning power of 0.82 W. (b) Lowest out-of-band rejection ratio in the full reflection band changes with the tuning power.

Equations (10)

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[ E 3 E 4 ]=[ 1K j K j K 1K ][ R g1 (λ) e i φ 1 (λ) 0 0 R g2 (λ) e i φ 2 (λ) ][ 1K j K j K 1K ][ E 1 E 2 ]
t= E 4 E 1 = 1 2 j e i φ 1 (λ) [ R g1 (λ) + R g2 (λ) e i( φ 2 (λ) φ 1 (λ)) ]
T= | E 4 E 1 | 2 = 1 4 [ R g1 (λ)+ R g2 (λ)+2 R g1 (λ) R g2 (λ) cos(Δφ) ]
T= R g1 (λ)= R g2 (λ)
τ(λ) (λ λ 0 ) Δ λ chirp 2 L g ν g
Δτ (λ λ 0 ) Δ λ chirp 2 L g ν g (λ λ 0 Δ n e λ 0 / n g ) Δ λ chirp 2 L g ν g = 2 L g Δ n e λ 0 cΔ λ chirp
FS R v = 1 Δτ = cΔ λ chirp 2 L g Δ n e λ 0
FS R λ = λ 2 cΔτ λ 0 Δ λ chirp 2 L g Δ n e
N comb = Δ λ chirp -Δλ FS R λ = 2 L g Δ n e λ 0 - 2 L g Δ n e 2 n g Δ λ chirp
δ n eff (z)={ δ n eff0 tanh[ 2az L g ],0z L g 2 δ n eff0 tanh[ 2a( L g z) L g ], L g 2 z L g

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