Skip to main content
Log in

Quasi-total backward reflection with a CRIGF under oblique incidence

  • Published:
Optical and Quantum Electronics Aims and scope Submit manuscript

Abstract

We report on a numerical study of cavity resonator integrated grating filters (a grating coupler flanked with two distributed Bragg reflectors) under oblique incidence. At resonance, the diffracted energy is divided equally in four outcoupling directions, versus two directions only for the CRIGF under normal incidence and for the infinite grating coupler. We provide a simple model to demonstrate this fact. Then, we propose a configuration for which all the diffracted energy is reflected backward with respect to the direction of the incident beam, thus realizing a reflection filter free from specular reflectivity.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  • Augé, S., Monmayrant, A., Pelloquin, S., Doucet, J.B., Gauthier-Lafaye, O.: Tunable graded cavity resonator integrated grating filters. Opt. Express 25(11), 12415–12420 (2017)

    Article  ADS  Google Scholar 

  • Buet, X., Guelmani, A., Monmayrant, A., Calvez, S., Lozes-Dupuy, F., Gauthier-Lafaye, O.: In: 2013 15th International Conference on Transparent Optical Networks (ICTON) (IEEE), pp. 1–2 (2013)

  • Buet, X., Daran, E., Belharet, D., Lozes-Dupuy, F., Monmayrant, A., Gauthier-Lafaye, O.: Robust and simplified cat's-eye external-cavity lasers using cavity resonator integrated grating filters. Opt. Express 20(8), 9322–9327 (2012)

    Article  ADS  Google Scholar 

  • Fan, S., Joannopoulos, J.D.: Analysis of guided resonances in photonic crystal slabs. Phys. Rev. B 65, 235112 (2002)

    Article  ADS  Google Scholar 

  • Fano, U.: The theory of anomalous diffraction gratings and of quasi-stationary waves on metallic surfaces (Sommerfeld’s waves). J. Opt. Soc. Am. A 31(3), 213–222 (1941)

    Article  ADS  Google Scholar 

  • Fehrembach, A.L., Talneau, A., Boyko, O., Lemarchand, F., Sentenac, A.: Experimental demonstration of a narrowband, angular tolerant, polarization independent, doubly periodic resonant grating filter. Opt. Lett. 32(15), 2269–2271 (2007)

    Article  ADS  Google Scholar 

  • Fehrembach, A.L., Gralak, B., Sentenac, A.: Vectorial model for guided-mode resonance gratings. Phys. Rev. A 97(4), 043852 (2018)

    Article  ADS  Google Scholar 

  • Kintaka, K., Majima, T., Inoue, J., Hatanaka, K., Nishii, J., Ura, S.: Cavity-resonator-integrated guided-mode resonance filter for aperture miniaturization. Opt. Express 20(2), 1444–1449 (2012)

    Article  ADS  Google Scholar 

  • Kusuura, T., Akamatsu, K., Inoue, J., Kintaka, K., Ura, S.: (2019)https://confit.atlas.jp/guide/event/oeccpsc2019/subject/ThE1-2/advanced

  • Lemarchand, F., Sentenac, A., Cambril, E., Giovannini, H.: Study of the resonant behaviour of waveguide gratings: increasing the angular tolerance of guided-mode filters. J. Opt. A Pure Appl. Opt. 1(4), 545–551 (1999)

    Article  ADS  Google Scholar 

  • Paddon, P., Young, J.F.: Simple approach to coupling in textured planar waveguides. Opt. Lett. 23(19), 1529–1531 (1998)

    Article  ADS  Google Scholar 

  • Popov, E., Mashev, L., Maystre, D.: Theoretical study of the anomalies of coated dielectric gratings. Opt. Acta Int. J. Opt. 33(5), 607–619 (1986)

    Article  ADS  Google Scholar 

  • Rassem, N., Popov, E., Fehrembach, A.L.: Numerical modeling of long sub-wavelength patterned structures. Opt. Quantum Electron. 47(9), 3171–3180 (2015)

    Article  Google Scholar 

  • Rassem, N., Fehrembach, A.L., Popov, E.: Waveguide mode in the box with an extraordinary flat dispersion curve. JOSA A 32(3), 420–430 (2015)

    Article  ADS  Google Scholar 

  • Renaud, F., Fehrembach, A.L., Popov, E., Monmayrant, A., Gauthier-Lafaye, O.: (2019) http://www.owtnm2019.com/program

  • Ura, S., Inoue, J., Kintaka, K., Awatsuji, Y.: Proposal of small-aperture guided mode resonance filter. In: 2011 13th International Conference On Transparent Optical Networks (IEEE), pp. 1–4 (2011)

  • Wang, S.S., Magnusson, R.: Theory and applications of guided-mode resonance filters. Appl. Opt. 32(14), 2606–2613 (1993). https://doi.org/10.1364/AO.32.002606

    Article  ADS  Google Scholar 

Download references

Acknowledgements

F. Renaud acknowledges PhD Grant from DGA/AID.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Anne-Laure Fehrembach.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

This article is part of the Topical Collection on Optical Wave and Waveguide Theory and Numerical Modelling

Guest edited by Alejandro Ortega Moñux, Rafael Godoy Rubio and Jiri Ctyroky.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Renaud, F., Mohamed, G., Fehrembach, AL. et al. Quasi-total backward reflection with a CRIGF under oblique incidence. Opt Quant Electron 52, 184 (2020). https://doi.org/10.1007/s11082-020-02295-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11082-020-02295-8

Keywords

Navigation