Abstract

In this paper, we demonstrate an optical filter using cladding modulated anti-symmetric long-period grating in a two-mode silicon waveguide. The filter consists of a two-mode waveguide connected with an input and output single-mode waveguide through two linear tapers. The anti-symmetric grating is formed by placing two periodic arrays of silicon squares offset by half of a grating pitch along the two-mode waveguide. Light coupling occurs between two co-propagating modes at the coupling wavelength through the grating and results in a rejection band at the output. The grating pitch, coupling coefficient, transmission spectrum and 3-dB bandwidth of the grating are investigated with the coupled-mode theory. By using a cladding modulated grating, the grating coupling strength can be controlled over a wide range by the two-mode waveguide width or separation distance between the grating and waveguide. Band-rejection filters are experimentally demonstrated in 1-μm, 0.8-μm and 0.7-μm wide two-mode silicon waveguides and rejection bands with different bandwidths and maximal attenuation contrasts larger than 15 dB (~97% coupling efficiency) have been achieved.

© 2014 Optical Society of America

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    [Crossref]
  7. J. Brouckaert, W. Bogaerts, P. Dumon, D. Van Thourhout, and R. Baets, “Planar concave grating demultiplexer fabricated on a nanophotonic silicon-on-insulator platform,” J. Lightwave Technol. 25(5), 1269–1275 (2007).
    [Crossref]
  8. V. M. N. Passaro, R. Loiacono, G. D’Amico, and F. D. Leonardis, “Design of Bragg grating sensors based on submicrometer optical rib waveguides in SOI,” IEEE Sens. J. 8(9), 1603–1611 (2008).
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    [Crossref]
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    [Crossref]
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    [Crossref]
  21. J. Castro, D. F. Geraghty, S. Honkanen, C. M. Greiner, D. Iazikov, and T. W. Mossberg, “Demonstration of mode conversion using anti-symmetric waveguide Bragg gratings,” Opt. Express 13(11), 4180–4184 (2005), http://www.opticsinfobase.org/oe/abstract.cfm?URI=OPEX-13-11-4180 .
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    [Crossref]
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    [Crossref]

2013 (1)

2012 (1)

2011 (1)

X. Wang, W. Shi, R. Vafaei, N. A. F. Jaeger, and L. Chrostowski, “Uniform and sampled Bragg gratings in SOI strip waveguides with sidewall corrugations,” IEEE Photon. Technol. Lett. 23, 290–292 (2011).

2010 (2)

W. Bogaerts, S. K. Selvaraja, P. Dumon, J. Brouckaert, K. De Vos, D. V. Thourhout, and R. Baets, “Silicon-on-insulator spectral filters fabricated with CMOS technology,” IEEE J. Sel. Top. Quantum Electron. 16(1), 33–44 (2010).
[Crossref]

S. Zamek, D. T. H. Tan, M. Khajavikhan, M. Ayache, M. P. Nezhad, and Y. Fainman, “Compact chip-scale filter based on curved waveguide Bragg gratings,” Opt. Lett. 35(20), 3477–3479 (2010).
[Crossref] [PubMed]

2009 (2)

2008 (4)

D. T. H. Tan, K. Ikeda, R. E. Saperstein, B. Slutsky, and Y. Fainman, “Chip-scale dispersion engineering using chirped vertical gratings,” Opt. Lett. 33(24), 3013–3015 (2008).
[PubMed]

V. M. N. Passaro, R. Loiacono, G. D’Amico, and F. D. Leonardis, “Design of Bragg grating sensors based on submicrometer optical rib waveguides in SOI,” IEEE Sens. J. 8(9), 1603–1611 (2008).
[Crossref]

K. Ikeda, M. Nezhad, and Y. Fainman, “Wavelength selective coupler with vertical gratings on silicon chip,” Appl. Phys. Lett. 92(20), 201111 (2008).
[Crossref]

Y.-B. Cho, B.-K. Yang, J.-H. Lee, J.-B. Yoon, and S.-Y. Shin, “Silicon photonic wire filter using asymmetric sidewall long-period waveguide grating in a two-mode waveguide,” IEEE Photon. Technol. Lett. 20(7), 520–522 (2008).
[Crossref]

2007 (2)

2006 (1)

W. Bogaerts, P. Dumon, D. V. Thourhout, D. Taillaert, P. Jaenen, J. Wouters, S. Beckx, V. Wiaux, and R. Baets, “Compact wavelength selective functions in silicon-on-insulator photonic wires,” IEEE J. Sel. Top. Quantum Electron. 12(6), 1394–1401 (2006).
[Crossref]

2005 (1)

2004 (2)

P. Dumon, W. Bogaerts, V. Wiaux, J. Wouters, S. Beckx, J. Van Campenhout, D. Taillaert, B. Luyssaert, P. Bienstman, D. Van Thourhout, and R. Baets, “Low-loss SOI photonic wires and ring resonators fabricated with deep UV lithography,” IEEE Photon. Technol. Lett. 16(5), 1328–1330 (2004).
[Crossref]

D. J. Moss, V. G. Ta’eed, B. J. Eggleton, D. Freeman, S. Madden, M. Samoc, B. Luther-Davies, S. Janz, and D.-X. Xu, “Bragg gratings in silicon-on-insulator waveguides by focused ion-beam milling,” Appl. Phys. Lett. 85(21), 4860–4862 (2004).
[Crossref]

2003 (2)

Q. Liu, K. S. Chiang, and V. Rastogi, “Analysis of corrugated long-period gratings in slab waveguides and their polarization dependence,” J. Lightwave Technol. 21(12), 3399–3405 (2003).
[Crossref]

G. Z. Masanovic, V. M. N. Passaro, and G. T. Reed, “Dual grating-assisted directional coupling between fibers and thin semiconductor waveguides,” IEEE Photon. Technol. Lett. 15(10), 1395–1397 (2003).
[Crossref]

2001 (1)

1996 (1)

A. M. Vengsarkar, P. J. Lemaire, J. B. Judkins, V. Bhatia, T. Erdogan, and J. E. Sipe, “Long-period fiber gratings as band-rejection filters,” J. Lightwave Technol. 14(1), 58–65 (1996).
[Crossref]

1991 (1)

G. Griffel and A. Yariv, “Frequency response and tunability of grating assisted directional couplers,” IEEE J. Quantum Electron. 27(5), 1115–1118 (1991).
[Crossref]

1973 (1)

A. Yariv, “Coupled-mode theory for guided wave optics,” IEEE J. Quantum Electron. 9(9), 919–933 (1973).
[Crossref]

Ayache, M.

Baets, R.

W. Bogaerts, S. K. Selvaraja, P. Dumon, J. Brouckaert, K. De Vos, D. V. Thourhout, and R. Baets, “Silicon-on-insulator spectral filters fabricated with CMOS technology,” IEEE J. Sel. Top. Quantum Electron. 16(1), 33–44 (2010).
[Crossref]

J. Brouckaert, W. Bogaerts, P. Dumon, D. Van Thourhout, and R. Baets, “Planar concave grating demultiplexer fabricated on a nanophotonic silicon-on-insulator platform,” J. Lightwave Technol. 25(5), 1269–1275 (2007).
[Crossref]

W. Bogaerts, P. Dumon, D. V. Thourhout, D. Taillaert, P. Jaenen, J. Wouters, S. Beckx, V. Wiaux, and R. Baets, “Compact wavelength selective functions in silicon-on-insulator photonic wires,” IEEE J. Sel. Top. Quantum Electron. 12(6), 1394–1401 (2006).
[Crossref]

P. Dumon, W. Bogaerts, V. Wiaux, J. Wouters, S. Beckx, J. Van Campenhout, D. Taillaert, B. Luyssaert, P. Bienstman, D. Van Thourhout, and R. Baets, “Low-loss SOI photonic wires and ring resonators fabricated with deep UV lithography,” IEEE Photon. Technol. Lett. 16(5), 1328–1330 (2004).
[Crossref]

Beckx, S.

W. Bogaerts, P. Dumon, D. V. Thourhout, D. Taillaert, P. Jaenen, J. Wouters, S. Beckx, V. Wiaux, and R. Baets, “Compact wavelength selective functions in silicon-on-insulator photonic wires,” IEEE J. Sel. Top. Quantum Electron. 12(6), 1394–1401 (2006).
[Crossref]

P. Dumon, W. Bogaerts, V. Wiaux, J. Wouters, S. Beckx, J. Van Campenhout, D. Taillaert, B. Luyssaert, P. Bienstman, D. Van Thourhout, and R. Baets, “Low-loss SOI photonic wires and ring resonators fabricated with deep UV lithography,” IEEE Photon. Technol. Lett. 16(5), 1328–1330 (2004).
[Crossref]

Bhatia, V.

A. M. Vengsarkar, P. J. Lemaire, J. B. Judkins, V. Bhatia, T. Erdogan, and J. E. Sipe, “Long-period fiber gratings as band-rejection filters,” J. Lightwave Technol. 14(1), 58–65 (1996).
[Crossref]

Bienstman, P.

P. Dumon, W. Bogaerts, V. Wiaux, J. Wouters, S. Beckx, J. Van Campenhout, D. Taillaert, B. Luyssaert, P. Bienstman, D. Van Thourhout, and R. Baets, “Low-loss SOI photonic wires and ring resonators fabricated with deep UV lithography,” IEEE Photon. Technol. Lett. 16(5), 1328–1330 (2004).
[Crossref]

Bogaerts, W.

W. Bogaerts, S. K. Selvaraja, P. Dumon, J. Brouckaert, K. De Vos, D. V. Thourhout, and R. Baets, “Silicon-on-insulator spectral filters fabricated with CMOS technology,” IEEE J. Sel. Top. Quantum Electron. 16(1), 33–44 (2010).
[Crossref]

J. Brouckaert, W. Bogaerts, P. Dumon, D. Van Thourhout, and R. Baets, “Planar concave grating demultiplexer fabricated on a nanophotonic silicon-on-insulator platform,” J. Lightwave Technol. 25(5), 1269–1275 (2007).
[Crossref]

W. Bogaerts, P. Dumon, D. V. Thourhout, D. Taillaert, P. Jaenen, J. Wouters, S. Beckx, V. Wiaux, and R. Baets, “Compact wavelength selective functions in silicon-on-insulator photonic wires,” IEEE J. Sel. Top. Quantum Electron. 12(6), 1394–1401 (2006).
[Crossref]

P. Dumon, W. Bogaerts, V. Wiaux, J. Wouters, S. Beckx, J. Van Campenhout, D. Taillaert, B. Luyssaert, P. Bienstman, D. Van Thourhout, and R. Baets, “Low-loss SOI photonic wires and ring resonators fabricated with deep UV lithography,” IEEE Photon. Technol. Lett. 16(5), 1328–1330 (2004).
[Crossref]

Brouckaert, J.

W. Bogaerts, S. K. Selvaraja, P. Dumon, J. Brouckaert, K. De Vos, D. V. Thourhout, and R. Baets, “Silicon-on-insulator spectral filters fabricated with CMOS technology,” IEEE J. Sel. Top. Quantum Electron. 16(1), 33–44 (2010).
[Crossref]

J. Brouckaert, W. Bogaerts, P. Dumon, D. Van Thourhout, and R. Baets, “Planar concave grating demultiplexer fabricated on a nanophotonic silicon-on-insulator platform,” J. Lightwave Technol. 25(5), 1269–1275 (2007).
[Crossref]

Bruns, J.

Castro, J.

Chiang, K. S.

Cho, Y.-B.

Y.-B. Cho, B.-K. Yang, J.-H. Lee, J.-B. Yoon, and S.-Y. Shin, “Silicon photonic wire filter using asymmetric sidewall long-period waveguide grating in a two-mode waveguide,” IEEE Photon. Technol. Lett. 20(7), 520–522 (2008).
[Crossref]

Chrostowski, L.

X. Wang, W. Shi, H. Yun, S. Grist, N. A. F. Jaeger, and L. Chrostowski, “Narrow-band waveguide Bragg gratings on SOI wafers with CMOS-compatible fabrication process,” Opt. Express 20(14), 15547–15558 (2012), http://www.opticsinfobase.org/oe/abstract.cfm?URI=OPEX-20-14-15547 .
[Crossref] [PubMed]

X. Wang, W. Shi, R. Vafaei, N. A. F. Jaeger, and L. Chrostowski, “Uniform and sampled Bragg gratings in SOI strip waveguides with sidewall corrugations,” IEEE Photon. Technol. Lett. 23, 290–292 (2011).

D’Amico, G.

V. M. N. Passaro, R. Loiacono, G. D’Amico, and F. D. Leonardis, “Design of Bragg grating sensors based on submicrometer optical rib waveguides in SOI,” IEEE Sens. J. 8(9), 1603–1611 (2008).
[Crossref]

De Vos, K.

W. Bogaerts, S. K. Selvaraja, P. Dumon, J. Brouckaert, K. De Vos, D. V. Thourhout, and R. Baets, “Silicon-on-insulator spectral filters fabricated with CMOS technology,” IEEE J. Sel. Top. Quantum Electron. 16(1), 33–44 (2010).
[Crossref]

Dumon, P.

W. Bogaerts, S. K. Selvaraja, P. Dumon, J. Brouckaert, K. De Vos, D. V. Thourhout, and R. Baets, “Silicon-on-insulator spectral filters fabricated with CMOS technology,” IEEE J. Sel. Top. Quantum Electron. 16(1), 33–44 (2010).
[Crossref]

J. Brouckaert, W. Bogaerts, P. Dumon, D. Van Thourhout, and R. Baets, “Planar concave grating demultiplexer fabricated on a nanophotonic silicon-on-insulator platform,” J. Lightwave Technol. 25(5), 1269–1275 (2007).
[Crossref]

W. Bogaerts, P. Dumon, D. V. Thourhout, D. Taillaert, P. Jaenen, J. Wouters, S. Beckx, V. Wiaux, and R. Baets, “Compact wavelength selective functions in silicon-on-insulator photonic wires,” IEEE J. Sel. Top. Quantum Electron. 12(6), 1394–1401 (2006).
[Crossref]

P. Dumon, W. Bogaerts, V. Wiaux, J. Wouters, S. Beckx, J. Van Campenhout, D. Taillaert, B. Luyssaert, P. Bienstman, D. Van Thourhout, and R. Baets, “Low-loss SOI photonic wires and ring resonators fabricated with deep UV lithography,” IEEE Photon. Technol. Lett. 16(5), 1328–1330 (2004).
[Crossref]

Eggleton, B. J.

D. J. Moss, V. G. Ta’eed, B. J. Eggleton, D. Freeman, S. Madden, M. Samoc, B. Luther-Davies, S. Janz, and D.-X. Xu, “Bragg gratings in silicon-on-insulator waveguides by focused ion-beam milling,” Appl. Phys. Lett. 85(21), 4860–4862 (2004).
[Crossref]

Erdogan, T.

A. M. Vengsarkar, P. J. Lemaire, J. B. Judkins, V. Bhatia, T. Erdogan, and J. E. Sipe, “Long-period fiber gratings as band-rejection filters,” J. Lightwave Technol. 14(1), 58–65 (1996).
[Crossref]

Fainman, Y.

Freeman, D.

D. J. Moss, V. G. Ta’eed, B. J. Eggleton, D. Freeman, S. Madden, M. Samoc, B. Luther-Davies, S. Janz, and D.-X. Xu, “Bragg gratings in silicon-on-insulator waveguides by focused ion-beam milling,” Appl. Phys. Lett. 85(21), 4860–4862 (2004).
[Crossref]

Gajda, A.

Geraghty, D. F.

Giuntoni, I.

Greiner, C. M.

Griffel, G.

G. Griffel and A. Yariv, “Frequency response and tunability of grating assisted directional couplers,” IEEE J. Quantum Electron. 27(5), 1115–1118 (1991).
[Crossref]

Grist, S.

Hastings, J. T.

Honkanen, S.

Iazikov, D.

Ikeda, K.

Jaeger, N. A. F.

X. Wang, W. Shi, H. Yun, S. Grist, N. A. F. Jaeger, and L. Chrostowski, “Narrow-band waveguide Bragg gratings on SOI wafers with CMOS-compatible fabrication process,” Opt. Express 20(14), 15547–15558 (2012), http://www.opticsinfobase.org/oe/abstract.cfm?URI=OPEX-20-14-15547 .
[Crossref] [PubMed]

X. Wang, W. Shi, R. Vafaei, N. A. F. Jaeger, and L. Chrostowski, “Uniform and sampled Bragg gratings in SOI strip waveguides with sidewall corrugations,” IEEE Photon. Technol. Lett. 23, 290–292 (2011).

Jaenen, P.

W. Bogaerts, P. Dumon, D. V. Thourhout, D. Taillaert, P. Jaenen, J. Wouters, S. Beckx, V. Wiaux, and R. Baets, “Compact wavelength selective functions in silicon-on-insulator photonic wires,” IEEE J. Sel. Top. Quantum Electron. 12(6), 1394–1401 (2006).
[Crossref]

Janz, S.

D. J. Moss, V. G. Ta’eed, B. J. Eggleton, D. Freeman, S. Madden, M. Samoc, B. Luther-Davies, S. Janz, and D.-X. Xu, “Bragg gratings in silicon-on-insulator waveguides by focused ion-beam milling,” Appl. Phys. Lett. 85(21), 4860–4862 (2004).
[Crossref]

Judkins, J. B.

A. M. Vengsarkar, P. J. Lemaire, J. B. Judkins, V. Bhatia, T. Erdogan, and J. E. Sipe, “Long-period fiber gratings as band-rejection filters,” J. Lightwave Technol. 14(1), 58–65 (1996).
[Crossref]

Khajavikhan, M.

Kim, H. C.

Krause, M.

LaRochelle, S.

Lee, J.-H.

Y.-B. Cho, B.-K. Yang, J.-H. Lee, J.-B. Yoon, and S.-Y. Shin, “Silicon photonic wire filter using asymmetric sidewall long-period waveguide grating in a two-mode waveguide,” IEEE Photon. Technol. Lett. 20(7), 520–522 (2008).
[Crossref]

Lemaire, P. J.

A. M. Vengsarkar, P. J. Lemaire, J. B. Judkins, V. Bhatia, T. Erdogan, and J. E. Sipe, “Long-period fiber gratings as band-rejection filters,” J. Lightwave Technol. 14(1), 58–65 (1996).
[Crossref]

Leonardis, F. D.

V. M. N. Passaro, R. Loiacono, G. D’Amico, and F. D. Leonardis, “Design of Bragg grating sensors based on submicrometer optical rib waveguides in SOI,” IEEE Sens. J. 8(9), 1603–1611 (2008).
[Crossref]

Liu, Q.

Loiacono, R.

V. M. N. Passaro, R. Loiacono, G. D’Amico, and F. D. Leonardis, “Design of Bragg grating sensors based on submicrometer optical rib waveguides in SOI,” IEEE Sens. J. 8(9), 1603–1611 (2008).
[Crossref]

Luther-Davies, B.

D. J. Moss, V. G. Ta’eed, B. J. Eggleton, D. Freeman, S. Madden, M. Samoc, B. Luther-Davies, S. Janz, and D.-X. Xu, “Bragg gratings in silicon-on-insulator waveguides by focused ion-beam milling,” Appl. Phys. Lett. 85(21), 4860–4862 (2004).
[Crossref]

Luyssaert, B.

P. Dumon, W. Bogaerts, V. Wiaux, J. Wouters, S. Beckx, J. Van Campenhout, D. Taillaert, B. Luyssaert, P. Bienstman, D. Van Thourhout, and R. Baets, “Low-loss SOI photonic wires and ring resonators fabricated with deep UV lithography,” IEEE Photon. Technol. Lett. 16(5), 1328–1330 (2004).
[Crossref]

Madden, S.

D. J. Moss, V. G. Ta’eed, B. J. Eggleton, D. Freeman, S. Madden, M. Samoc, B. Luther-Davies, S. Janz, and D.-X. Xu, “Bragg gratings in silicon-on-insulator waveguides by focused ion-beam milling,” Appl. Phys. Lett. 85(21), 4860–4862 (2004).
[Crossref]

Masanovic, G. Z.

G. Z. Masanovic, V. M. N. Passaro, and G. T. Reed, “Dual grating-assisted directional coupling between fibers and thin semiconductor waveguides,” IEEE Photon. Technol. Lett. 15(10), 1395–1397 (2003).
[Crossref]

Moss, D. J.

D. J. Moss, V. G. Ta’eed, B. J. Eggleton, D. Freeman, S. Madden, M. Samoc, B. Luther-Davies, S. Janz, and D.-X. Xu, “Bragg gratings in silicon-on-insulator waveguides by focused ion-beam milling,” Appl. Phys. Lett. 85(21), 4860–4862 (2004).
[Crossref]

Mossberg, T. W.

Murphy, T. E.

Nezhad, M.

K. Ikeda, M. Nezhad, and Y. Fainman, “Wavelength selective coupler with vertical gratings on silicon chip,” Appl. Phys. Lett. 92(20), 201111 (2008).
[Crossref]

Nezhad, M. P.

Painchaud, Y.

Passaro, V. M. N.

V. M. N. Passaro, R. Loiacono, G. D’Amico, and F. D. Leonardis, “Design of Bragg grating sensors based on submicrometer optical rib waveguides in SOI,” IEEE Sens. J. 8(9), 1603–1611 (2008).
[Crossref]

G. Z. Masanovic, V. M. N. Passaro, and G. T. Reed, “Dual grating-assisted directional coupling between fibers and thin semiconductor waveguides,” IEEE Photon. Technol. Lett. 15(10), 1395–1397 (2003).
[Crossref]

Petermann, K.

Rastogi, V.

Reed, G. T.

G. Z. Masanovic, V. M. N. Passaro, and G. T. Reed, “Dual grating-assisted directional coupling between fibers and thin semiconductor waveguides,” IEEE Photon. Technol. Lett. 15(10), 1395–1397 (2003).
[Crossref]

Samoc, M.

D. J. Moss, V. G. Ta’eed, B. J. Eggleton, D. Freeman, S. Madden, M. Samoc, B. Luther-Davies, S. Janz, and D.-X. Xu, “Bragg gratings in silicon-on-insulator waveguides by focused ion-beam milling,” Appl. Phys. Lett. 85(21), 4860–4862 (2004).
[Crossref]

Saperstein, R. E.

Selvaraja, S. K.

W. Bogaerts, S. K. Selvaraja, P. Dumon, J. Brouckaert, K. De Vos, D. V. Thourhout, and R. Baets, “Silicon-on-insulator spectral filters fabricated with CMOS technology,” IEEE J. Sel. Top. Quantum Electron. 16(1), 33–44 (2010).
[Crossref]

Shi, W.

X. Wang, W. Shi, H. Yun, S. Grist, N. A. F. Jaeger, and L. Chrostowski, “Narrow-band waveguide Bragg gratings on SOI wafers with CMOS-compatible fabrication process,” Opt. Express 20(14), 15547–15558 (2012), http://www.opticsinfobase.org/oe/abstract.cfm?URI=OPEX-20-14-15547 .
[Crossref] [PubMed]

X. Wang, W. Shi, R. Vafaei, N. A. F. Jaeger, and L. Chrostowski, “Uniform and sampled Bragg gratings in SOI strip waveguides with sidewall corrugations,” IEEE Photon. Technol. Lett. 23, 290–292 (2011).

Shin, S.-Y.

Y.-B. Cho, B.-K. Yang, J.-H. Lee, J.-B. Yoon, and S.-Y. Shin, “Silicon photonic wire filter using asymmetric sidewall long-period waveguide grating in a two-mode waveguide,” IEEE Photon. Technol. Lett. 20(7), 520–522 (2008).
[Crossref]

Simard, A. D.

Sipe, J. E.

A. M. Vengsarkar, P. J. Lemaire, J. B. Judkins, V. Bhatia, T. Erdogan, and J. E. Sipe, “Long-period fiber gratings as band-rejection filters,” J. Lightwave Technol. 14(1), 58–65 (1996).
[Crossref]

Slutsky, B.

Smith, H. I.

Steingrüber, R.

Ta’eed, V. G.

D. J. Moss, V. G. Ta’eed, B. J. Eggleton, D. Freeman, S. Madden, M. Samoc, B. Luther-Davies, S. Janz, and D.-X. Xu, “Bragg gratings in silicon-on-insulator waveguides by focused ion-beam milling,” Appl. Phys. Lett. 85(21), 4860–4862 (2004).
[Crossref]

Taillaert, D.

W. Bogaerts, P. Dumon, D. V. Thourhout, D. Taillaert, P. Jaenen, J. Wouters, S. Beckx, V. Wiaux, and R. Baets, “Compact wavelength selective functions in silicon-on-insulator photonic wires,” IEEE J. Sel. Top. Quantum Electron. 12(6), 1394–1401 (2006).
[Crossref]

P. Dumon, W. Bogaerts, V. Wiaux, J. Wouters, S. Beckx, J. Van Campenhout, D. Taillaert, B. Luyssaert, P. Bienstman, D. Van Thourhout, and R. Baets, “Low-loss SOI photonic wires and ring resonators fabricated with deep UV lithography,” IEEE Photon. Technol. Lett. 16(5), 1328–1330 (2004).
[Crossref]

Tan, D. T. H.

Thourhout, D. V.

W. Bogaerts, S. K. Selvaraja, P. Dumon, J. Brouckaert, K. De Vos, D. V. Thourhout, and R. Baets, “Silicon-on-insulator spectral filters fabricated with CMOS technology,” IEEE J. Sel. Top. Quantum Electron. 16(1), 33–44 (2010).
[Crossref]

W. Bogaerts, P. Dumon, D. V. Thourhout, D. Taillaert, P. Jaenen, J. Wouters, S. Beckx, V. Wiaux, and R. Baets, “Compact wavelength selective functions in silicon-on-insulator photonic wires,” IEEE J. Sel. Top. Quantum Electron. 12(6), 1394–1401 (2006).
[Crossref]

Vafaei, R.

X. Wang, W. Shi, R. Vafaei, N. A. F. Jaeger, and L. Chrostowski, “Uniform and sampled Bragg gratings in SOI strip waveguides with sidewall corrugations,” IEEE Photon. Technol. Lett. 23, 290–292 (2011).

Van Campenhout, J.

P. Dumon, W. Bogaerts, V. Wiaux, J. Wouters, S. Beckx, J. Van Campenhout, D. Taillaert, B. Luyssaert, P. Bienstman, D. Van Thourhout, and R. Baets, “Low-loss SOI photonic wires and ring resonators fabricated with deep UV lithography,” IEEE Photon. Technol. Lett. 16(5), 1328–1330 (2004).
[Crossref]

Van Thourhout, D.

J. Brouckaert, W. Bogaerts, P. Dumon, D. Van Thourhout, and R. Baets, “Planar concave grating demultiplexer fabricated on a nanophotonic silicon-on-insulator platform,” J. Lightwave Technol. 25(5), 1269–1275 (2007).
[Crossref]

P. Dumon, W. Bogaerts, V. Wiaux, J. Wouters, S. Beckx, J. Van Campenhout, D. Taillaert, B. Luyssaert, P. Bienstman, D. Van Thourhout, and R. Baets, “Low-loss SOI photonic wires and ring resonators fabricated with deep UV lithography,” IEEE Photon. Technol. Lett. 16(5), 1328–1330 (2004).
[Crossref]

Vengsarkar, A. M.

A. M. Vengsarkar, P. J. Lemaire, J. B. Judkins, V. Bhatia, T. Erdogan, and J. E. Sipe, “Long-period fiber gratings as band-rejection filters,” J. Lightwave Technol. 14(1), 58–65 (1996).
[Crossref]

Wang, X.

X. Wang, W. Shi, H. Yun, S. Grist, N. A. F. Jaeger, and L. Chrostowski, “Narrow-band waveguide Bragg gratings on SOI wafers with CMOS-compatible fabrication process,” Opt. Express 20(14), 15547–15558 (2012), http://www.opticsinfobase.org/oe/abstract.cfm?URI=OPEX-20-14-15547 .
[Crossref] [PubMed]

X. Wang, W. Shi, R. Vafaei, N. A. F. Jaeger, and L. Chrostowski, “Uniform and sampled Bragg gratings in SOI strip waveguides with sidewall corrugations,” IEEE Photon. Technol. Lett. 23, 290–292 (2011).

Wiaux, V.

W. Bogaerts, P. Dumon, D. V. Thourhout, D. Taillaert, P. Jaenen, J. Wouters, S. Beckx, V. Wiaux, and R. Baets, “Compact wavelength selective functions in silicon-on-insulator photonic wires,” IEEE J. Sel. Top. Quantum Electron. 12(6), 1394–1401 (2006).
[Crossref]

P. Dumon, W. Bogaerts, V. Wiaux, J. Wouters, S. Beckx, J. Van Campenhout, D. Taillaert, B. Luyssaert, P. Bienstman, D. Van Thourhout, and R. Baets, “Low-loss SOI photonic wires and ring resonators fabricated with deep UV lithography,” IEEE Photon. Technol. Lett. 16(5), 1328–1330 (2004).
[Crossref]

Wouters, J.

W. Bogaerts, P. Dumon, D. V. Thourhout, D. Taillaert, P. Jaenen, J. Wouters, S. Beckx, V. Wiaux, and R. Baets, “Compact wavelength selective functions in silicon-on-insulator photonic wires,” IEEE J. Sel. Top. Quantum Electron. 12(6), 1394–1401 (2006).
[Crossref]

P. Dumon, W. Bogaerts, V. Wiaux, J. Wouters, S. Beckx, J. Van Campenhout, D. Taillaert, B. Luyssaert, P. Bienstman, D. Van Thourhout, and R. Baets, “Low-loss SOI photonic wires and ring resonators fabricated with deep UV lithography,” IEEE Photon. Technol. Lett. 16(5), 1328–1330 (2004).
[Crossref]

Xu, D.-X.

D. J. Moss, V. G. Ta’eed, B. J. Eggleton, D. Freeman, S. Madden, M. Samoc, B. Luther-Davies, S. Janz, and D.-X. Xu, “Bragg gratings in silicon-on-insulator waveguides by focused ion-beam milling,” Appl. Phys. Lett. 85(21), 4860–4862 (2004).
[Crossref]

Yang, B.-K.

Y.-B. Cho, B.-K. Yang, J.-H. Lee, J.-B. Yoon, and S.-Y. Shin, “Silicon photonic wire filter using asymmetric sidewall long-period waveguide grating in a two-mode waveguide,” IEEE Photon. Technol. Lett. 20(7), 520–522 (2008).
[Crossref]

Yariv, A.

G. Griffel and A. Yariv, “Frequency response and tunability of grating assisted directional couplers,” IEEE J. Quantum Electron. 27(5), 1115–1118 (1991).
[Crossref]

A. Yariv, “Coupled-mode theory for guided wave optics,” IEEE J. Quantum Electron. 9(9), 919–933 (1973).
[Crossref]

Yoon, J.-B.

Y.-B. Cho, B.-K. Yang, J.-H. Lee, J.-B. Yoon, and S.-Y. Shin, “Silicon photonic wire filter using asymmetric sidewall long-period waveguide grating in a two-mode waveguide,” IEEE Photon. Technol. Lett. 20(7), 520–522 (2008).
[Crossref]

Yun, H.

Zamek, S.

Appl. Phys. Lett. (2)

K. Ikeda, M. Nezhad, and Y. Fainman, “Wavelength selective coupler with vertical gratings on silicon chip,” Appl. Phys. Lett. 92(20), 201111 (2008).
[Crossref]

D. J. Moss, V. G. Ta’eed, B. J. Eggleton, D. Freeman, S. Madden, M. Samoc, B. Luther-Davies, S. Janz, and D.-X. Xu, “Bragg gratings in silicon-on-insulator waveguides by focused ion-beam milling,” Appl. Phys. Lett. 85(21), 4860–4862 (2004).
[Crossref]

IEEE J. Quantum Electron. (2)

A. Yariv, “Coupled-mode theory for guided wave optics,” IEEE J. Quantum Electron. 9(9), 919–933 (1973).
[Crossref]

G. Griffel and A. Yariv, “Frequency response and tunability of grating assisted directional couplers,” IEEE J. Quantum Electron. 27(5), 1115–1118 (1991).
[Crossref]

IEEE J. Sel. Top. Quantum Electron. (2)

W. Bogaerts, S. K. Selvaraja, P. Dumon, J. Brouckaert, K. De Vos, D. V. Thourhout, and R. Baets, “Silicon-on-insulator spectral filters fabricated with CMOS technology,” IEEE J. Sel. Top. Quantum Electron. 16(1), 33–44 (2010).
[Crossref]

W. Bogaerts, P. Dumon, D. V. Thourhout, D. Taillaert, P. Jaenen, J. Wouters, S. Beckx, V. Wiaux, and R. Baets, “Compact wavelength selective functions in silicon-on-insulator photonic wires,” IEEE J. Sel. Top. Quantum Electron. 12(6), 1394–1401 (2006).
[Crossref]

IEEE Photon. Technol. Lett. (4)

P. Dumon, W. Bogaerts, V. Wiaux, J. Wouters, S. Beckx, J. Van Campenhout, D. Taillaert, B. Luyssaert, P. Bienstman, D. Van Thourhout, and R. Baets, “Low-loss SOI photonic wires and ring resonators fabricated with deep UV lithography,” IEEE Photon. Technol. Lett. 16(5), 1328–1330 (2004).
[Crossref]

X. Wang, W. Shi, R. Vafaei, N. A. F. Jaeger, and L. Chrostowski, “Uniform and sampled Bragg gratings in SOI strip waveguides with sidewall corrugations,” IEEE Photon. Technol. Lett. 23, 290–292 (2011).

G. Z. Masanovic, V. M. N. Passaro, and G. T. Reed, “Dual grating-assisted directional coupling between fibers and thin semiconductor waveguides,” IEEE Photon. Technol. Lett. 15(10), 1395–1397 (2003).
[Crossref]

Y.-B. Cho, B.-K. Yang, J.-H. Lee, J.-B. Yoon, and S.-Y. Shin, “Silicon photonic wire filter using asymmetric sidewall long-period waveguide grating in a two-mode waveguide,” IEEE Photon. Technol. Lett. 20(7), 520–522 (2008).
[Crossref]

IEEE Sens. J. (1)

V. M. N. Passaro, R. Loiacono, G. D’Amico, and F. D. Leonardis, “Design of Bragg grating sensors based on submicrometer optical rib waveguides in SOI,” IEEE Sens. J. 8(9), 1603–1611 (2008).
[Crossref]

J. Lightwave Technol. (4)

Opt. Express (4)

Opt. Lett. (4)

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Figures (8)

Fig. 1
Fig. 1 (a) Schematic diagram and (b) top view of the cladding-modulated anti-symmetric long-period grating filter. (c) Electric field intensity profiles and field distributions for E 11 x mode and E 12 x mode.
Fig. 2
Fig. 2 Dependence of the coupling wavelength on the grating period for equivalent unperturbed waveguides with four different values of widths W2. The silicon grating width Wg is fixed at 300 nm.
Fig. 3
Fig. 3 Dependence of the (a) coupling coefficient and (b) required grating length for achieving 100% coupling on the waveguide width W2 for three different values of silicon grating width Wg. The grating separation distance d is fixed at 200 nm.
Fig. 4
Fig. 4 Dependence of the (a) coupling coefficient and (b) required grating length for achieving 100% coupling on the grating separation distance d for four different values of waveguide widths W2. The silicon grating width Wg is fixed at 300 nm. Both the coupling coefficient and grating length are plotted in log-scale.
Fig. 5
Fig. 5 Dependence of 3-dB bandwidth of grating filters on the waveguide width W2 for three different values of grating separation distance d. The silicon grating width Wg is fixed at 300 nm. The grating length of each point on the curve is chosen for achieving 100% light coupling by calculating its coupling coefficient.
Fig. 6
Fig. 6 SEM images of fabricated cladding-modulated anti-symmetric long-period grating filter.
Fig. 7
Fig. 7 (a) Normalized measured transmission spectra of filters with W2 = 1 μm and Lg = 1040 μm for three grating pitches. (b) Dependence of the coupling wavelength on the grating pitch (solid squares: measurement; solid red line: linear fitting; solid blue line: simulation result for W2 = 1 μm).
Fig. 8
Fig. 8 (a) Normalized measured transmission spectra of filters with W2 = 0.8 μm and Lg = 700 μm for two grating pitches (Λ = 2.80 μm and 2.88 μm). (b) Normalized measured transmission spectrum of a filter with W2 = 0.7 μm, Λ = 2.20 μm and Lg = 340 μm.

Equations (4)

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λ 0 =( N eff 0 N eff 1 )Λ=Δ N eff Λ
κ= ( n core 2 n clad 2 ) 2 ( P 11 P 12 ) 1/2 λc μ 0 A e 11 e 12 * dA ,
T(λ)=1 κ 2 κ 2 + δ 2 /4 sin 2 ( κ 2 + δ 2 /4 L ),
Δ λ 3dB =0.8 Λ L λ 0 | 1ΛΔ N eff /λ | .

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