We report angular and polarization dependent transmission properties of Fano resonance optical filters with transferred silicon nanomembrane on glass substrate. The transmission spectra of the filters can have either weak or strong polarization and angular dependence, depending on properties of individual Fano resonance modal dispersion. Measurement results agree very well with simulations based on a rigorous coupled-wave analysis for the transmission spectra, on planewave expansion wave-vector technique for the dispersion property analysis, and on a three-dimensional finite-difference time-domain technique for the propagating modal study. These results will provide importance guidance for the design of a new class of ultra-compact surface-normal frequency selective components with preferred polarization and angular properties. These components are highly desirable for silicon photonic integration.

© 2009 OSA

1. S. Fan and J. D. Joannopoulos, “Analysis of guided resonances in photonic crystal slabs,” Phys. Rev. B 65(23), 235112 (2002). [CrossRef]
2. R. Magnusson and S. S. Wang, “New principle for optical filters,” Appl. Phys. Lett. 61(9), 1022 (1992). [CrossRef]
3. C. Lin, Z. Lu, S. Shi, G. Jin, and D. W. Prather, “Experimentally demonstrated filters based on guided resonance of photonic-crystal films,” Appl. Phys. Lett. 87(9), 091102 (2005). [CrossRef]
4. A. Rosenberg, M. Carter, J. Casey, M. Kim, R. Holm, R. Henry, C. Eddy, V. Shamamian, K. Bussmann, S. Shi, and D. W. Prather, “Guided resonances in asymmetrical GaN photonic crystal slabs observed in the visible spectrum,” Opt. Express 13(17), 6564–6571 (2005). [CrossRef] [PubMed]
5. W. Suh and S. Fan, “All-pass transmission or flattop reflection filters using a single photonic crystal slab,” Appl. Phys. Lett. 84(24), 4905 (2004). [CrossRef]
6. S. Boutami, B. B. Bakir, H. Hattori, X. Letartre, J.-L. Leclercq, P. Rojo-Rome, M. Garrigues, C. Seassal, and P. Viktorovitch, “Broadband and compact 2-D photonic crystal reflectors with controllable polarization dependence,” IEEE Photon. Technol. Lett. 18(7), 835–837 (2006). [CrossRef]
7. A. R. Cowan and J. F. Young, “Optical bistability involving photonic crystal microcavities and Fano line shapes,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 68(4), 046606 (2003). [CrossRef] [PubMed]
8. X. Yang, C. Husko, C. W. Wong, M. Yu, and D.-L. Kwong, “Observation of femtojoule optical bistability involving Fano resonances in high-Q/V[sub m] silicon photonic crystal nanocavities,” Appl. Phys. Lett. 91(5), 051113 (2007). [CrossRef]
9. S. A. Scott and M. G. Lagally, “Elastically strain-sharing nanomembranes: flexible and transferable strained silicon and silicon–germanium alloys,” J. Phys. D Appl. Phys. 40(4), R75–R92 (2007). [CrossRef]
10. H. C. Yuan, Z. Ma, M. M. Roberts, D. E. Savage, and M. G. Lagally, “High-speed strained-single-crystal-silicon thin-film transistors on flexible polymers,” J. Appl. Phys. 100(1), 013708 (2006). [CrossRef]
11. J. A. Rogers, Z. Bao, K. Baldwin, A. Dodabalapur, B. Crone, V. R. Raju, V. Kuck, H. Katz, K. Amundson, J. Ewing, and P. Drzaic, “Paper-like electronic displays: large-area rubber-stamped plastic sheets of electronics and microencapsulated electrophoretic inks,” Proc. Natl. Acad. Sci. U.S.A. 98(9), 4835–4840 (2001). [CrossRef] [PubMed]
12. H. Yuan, G. Celler, and Z. Ma, “7.8-GHz flexible thin-film transistors on a low-temperature plastic substrate,” J. Appl. Phys. 102(3), 034501 (2007). [CrossRef]
13. H. Yang, Z. Qiang, H. Pang, Z. Ma, and W. D. Zhou, “Surface-Normal Fano Filters Based on Transferred Silicon Nanomembranes on Glass Substrates,” Electron. Lett. 44(14), 858–859 (2008). [CrossRef]
14. Z. Qiang, H. Yang, L. Chen, H. Pang, Z. Ma, and W. Zhou, “Fano filters based on transferred silicon nanomembranes on plastic substrates,” Appl. Phys. Lett. 93(6), 061106 (2008). [CrossRef]
15. S. Peng and G. Morris, “Resonant scattering from two-dimensional gratings,” J. Opt. Soc. Am. A 13(5), 993–1005 (1996). [CrossRef]
16. G. Niederer, W. Nakagawa, H. Herzig, and H. Thiele, “Design and characterization of a tunable polarization-independent resonant grating filter,” Opt. Express 13(6), 2196–2200 (2005). [CrossRef] [PubMed]
17. D. Crouse and P. Keshavareddy, “Polarization independent enhanced optical transmission in one-dimensional gratings and device applications,” Opt. Express 15(4), 1415–1427 (2007). [CrossRef] [PubMed]
18. V. Lousse, W. Suh, O. Kilic, S. Kim, O. Solgaard, and S. Fan, “Angular and polarization properties of a photonic crystal slab mirror,” Opt. Express 12(8), 1575–1582 (2004). [CrossRef] [PubMed]
19. J. Song, R. Proietti Zaccaria, M. B. Yu, and X. W. Sun, “Tunable Fano resonance in photonic crystal slabs,” Opt. Express 14(19), 8812–8826 (2006). [CrossRef] [PubMed]
20. Z. Qiang, W. D. Zhou, M. Lu, and G. J. Brown, “Fano Resonance Enhanced Infrared Absorption for Infrared Photodetectors,” Proc. SPIE 6901, 69010F (2008). [CrossRef]
21. H.-C. Yuan, G. K. Celler, and Z. Ma, “7.8-GHz flexible thin-film transistors on a low-temperature plastic substrate,” J. Appl. Phys. 102(3), 034501 (2007). [CrossRef]
22. M. G. Moharam and T. K. Gaylord, “Rigorous coupled-wave analysis of planar-grating diffraction,” J. Opt. Soc. Am. 71(7), 811–818 (1981). [CrossRef]
23. K. C. Johnson, “Coupled scalar wave diffraction theory,” Appl. Phys., A Mater. Sci. Process. 24, 249–260 (1981).
24. E. Drouard, H. Hattori, C. Grillet, A. Kazmierczak, X. Letartre, P. Rojo-Romeo, and P. Viktorovitch, “Directional channel-drop filter based on a slow Bloch mode photonic crystal waveguide section,” Opt. Express 13(8), 3037–3048 (2005). [CrossRef] [PubMed]
25. W. Zhou, Z. Qiang, and L. Chen, “Photonic crystal defect mode cavity modelling: a phenomenological dimensional reduction approach,” J. Phys. D. 40(9), 2615–2623 (2007). [CrossRef]

Appl. Phys. Lett.

• R. Magnusson and S. S. Wang, “New principle for optical filters,” Appl. Phys. Lett. 61(9), 1022 (1992). [CrossRef]
• C. Lin, Z. Lu, S. Shi, G. Jin, and D. W. Prather, “Experimentally demonstrated filters based on guided resonance of photonic-crystal films,” Appl. Phys. Lett. 87(9), 091102 (2005). [CrossRef]
• W. Suh and S. Fan, “All-pass transmission or flattop reflection filters using a single photonic crystal slab,” Appl. Phys. Lett. 84(24), 4905 (2004). [CrossRef]
• X. Yang, C. Husko, C. W. Wong, M. Yu, and D.-L. Kwong, “Observation of femtojoule optical bistability involving Fano resonances in high-Q/V[sub m] silicon photonic crystal nanocavities,” Appl. Phys. Lett. 91(5), 051113 (2007). [CrossRef]
• Z. Qiang, H. Yang, L. Chen, H. Pang, Z. Ma, and W. Zhou, “Fano filters based on transferred silicon nanomembranes on plastic substrates,” Appl. Phys. Lett. 93(6), 061106 (2008). [CrossRef]

Appl. Phys., A Mater. Sci. Process.

• K. C. Johnson, “Coupled scalar wave diffraction theory,” Appl. Phys., A Mater. Sci. Process. 24, 249–260 (1981).

Electron. Lett.

• H. Yang, Z. Qiang, H. Pang, Z. Ma, and W. D. Zhou, “Surface-Normal Fano Filters Based on Transferred Silicon Nanomembranes on Glass Substrates,” Electron. Lett. 44(14), 858–859 (2008). [CrossRef]

IEEE Photon. Technol. Lett.

• S. Boutami, B. B. Bakir, H. Hattori, X. Letartre, J.-L. Leclercq, P. Rojo-Rome, M. Garrigues, C. Seassal, and P. Viktorovitch, “Broadband and compact 2-D photonic crystal reflectors with controllable polarization dependence,” IEEE Photon. Technol. Lett. 18(7), 835–837 (2006). [CrossRef]

J. Appl. Phys.

• H. C. Yuan, Z. Ma, M. M. Roberts, D. E. Savage, and M. G. Lagally, “High-speed strained-single-crystal-silicon thin-film transistors on flexible polymers,” J. Appl. Phys. 100(1), 013708 (2006). [CrossRef]
• H. Yuan, G. Celler, and Z. Ma, “7.8-GHz flexible thin-film transistors on a low-temperature plastic substrate,” J. Appl. Phys. 102(3), 034501 (2007). [CrossRef]
• H.-C. Yuan, G. K. Celler, and Z. Ma, “7.8-GHz flexible thin-film transistors on a low-temperature plastic substrate,” J. Appl. Phys. 102(3), 034501 (2007). [CrossRef]

J. Opt. Soc. Am.

• M. G. Moharam and T. K. Gaylord, “Rigorous coupled-wave analysis of planar-grating diffraction,” J. Opt. Soc. Am. 71(7), 811–818 (1981). [CrossRef]

J. Opt. Soc. Am. A

• S. Peng and G. Morris, “Resonant scattering from two-dimensional gratings,” J. Opt. Soc. Am. A 13(5), 993–1005 (1996). [CrossRef]

J. Phys. D Appl. Phys.

• S. A. Scott and M. G. Lagally, “Elastically strain-sharing nanomembranes: flexible and transferable strained silicon and silicon–germanium alloys,” J. Phys. D Appl. Phys. 40(4), R75–R92 (2007). [CrossRef]

J. Phys. D.

• W. Zhou, Z. Qiang, and L. Chen, “Photonic crystal defect mode cavity modelling: a phenomenological dimensional reduction approach,” J. Phys. D. 40(9), 2615–2623 (2007). [CrossRef]

Opt. Express

• E. Drouard, H. Hattori, C. Grillet, A. Kazmierczak, X. Letartre, P. Rojo-Romeo, and P. Viktorovitch, “Directional channel-drop filter based on a slow Bloch mode photonic crystal waveguide section,” Opt. Express 13(8), 3037–3048 (2005). [CrossRef] [PubMed]
• A. Rosenberg, M. Carter, J. Casey, M. Kim, R. Holm, R. Henry, C. Eddy, V. Shamamian, K. Bussmann, S. Shi, and D. W. Prather, “Guided resonances in asymmetrical GaN photonic crystal slabs observed in the visible spectrum,” Opt. Express 13(17), 6564–6571 (2005). [CrossRef] [PubMed]
• G. Niederer, W. Nakagawa, H. Herzig, and H. Thiele, “Design and characterization of a tunable polarization-independent resonant grating filter,” Opt. Express 13(6), 2196–2200 (2005). [CrossRef] [PubMed]
• D. Crouse and P. Keshavareddy, “Polarization independent enhanced optical transmission in one-dimensional gratings and device applications,” Opt. Express 15(4), 1415–1427 (2007). [CrossRef] [PubMed]
• V. Lousse, W. Suh, O. Kilic, S. Kim, O. Solgaard, and S. Fan, “Angular and polarization properties of a photonic crystal slab mirror,” Opt. Express 12(8), 1575–1582 (2004). [CrossRef] [PubMed]
• J. Song, R. Proietti Zaccaria, M. B. Yu, and X. W. Sun, “Tunable Fano resonance in photonic crystal slabs,” Opt. Express 14(19), 8812–8826 (2006). [CrossRef] [PubMed]

Phys. Rev. B

• S. Fan and J. D. Joannopoulos, “Analysis of guided resonances in photonic crystal slabs,” Phys. Rev. B 65(23), 235112 (2002). [CrossRef]

Phys. Rev. E Stat. Nonlin. Soft Matter Phys.

• A. R. Cowan and J. F. Young, “Optical bistability involving photonic crystal microcavities and Fano line shapes,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 68(4), 046606 (2003). [CrossRef] [PubMed]

Proc. Natl. Acad. Sci. U.S.A.

• J. A. Rogers, Z. Bao, K. Baldwin, A. Dodabalapur, B. Crone, V. R. Raju, V. Kuck, H. Katz, K. Amundson, J. Ewing, and P. Drzaic, “Paper-like electronic displays: large-area rubber-stamped plastic sheets of electronics and microencapsulated electrophoretic inks,” Proc. Natl. Acad. Sci. U.S.A. 98(9), 4835–4840 (2001). [CrossRef] [PubMed]

Proc. SPIE

• Z. Qiang, W. D. Zhou, M. Lu, and G. J. Brown, “Fano Resonance Enhanced Infrared Absorption for Infrared Photodetectors,” Proc. SPIE 6901, 69010F (2008). [CrossRef]

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