OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry van Driel
  • Vol. 28, Iss. 4 — Apr. 1, 2011
  • pp: 689–696

Inverse scattering of two-dimensional photonic structures by layer stripping

Marte P. Hatlo Andresen, Harald E. Krogstad, and Johannes Skaar  »View Author Affiliations


JOSA B, Vol. 28, Issue 4, pp. 689-696 (2011)
http://dx.doi.org/10.1364/JOSAB.28.000689


View Full Text Article

Enhanced HTML    Acrobat PDF (736 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Design and reconstruction of two-dimensional (2D) and three-dimensional photonic structures are usually carried out by forward simulations combined with optimization or intuition. Reconstruction by means of layer stripping has been applied in seismic processing as well as in design and characterization of one-dimensional photonic structures such as fiber Bragg gratings. Layer stripping is based on causality, where the earliest scattered light is used to recover the structure layer by layer. Our setup is a 2D layered nonmagnetic structure probed by plane-polarized harmonic waves entering normal to the layers. It is assumed that the dielectric permittivity in each layer only varies orthogonal to the polarization. Based on obtained reflectance data covering a suitable frequency interval, time-localized pulse data are synthesized and applied to reconstruct the refractive index profile in the leftmost layer by identifying the local, time-domain Fresnel reflection at each point. Once the first layer is known, its impact on the reflectance data is stripped off and the procedure repeated for the next layer. Through numerical simulations it will be demonstrated that it is possible to reconstruct structures consisting of several layers. The impact of evanescent modes and limited bandwidth is discussed.

© 2011 Optical Society of America

OCIS Codes
(290.3200) Scattering : Inverse scattering
(050.5298) Diffraction and gratings : Photonic crystals

ToC Category:
Scattering

History
Original Manuscript: October 18, 2010
Revised Manuscript: January 28, 2011
Manuscript Accepted: January 31, 2011
Published: March 10, 2011

Citation
Marte P. Hatlo Andresen, Harald E. Krogstad, and Johannes Skaar, "Inverse scattering of two-dimensional photonic structures by layer stripping," J. Opt. Soc. Am. B 28, 689-696 (2011)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-28-4-689


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58, 2059–2062 (1987). [CrossRef] [PubMed]
  2. S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58, 2486–2489 (1987). [CrossRef] [PubMed]
  3. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton University, 1995).
  4. A. M. Bruckstein, B. C. Levy, and T. Kailath, “Differential methods in inverse scattering,” SIAM J. Appl. Math. 45, 312–335 (1985). [CrossRef]
  5. A. E. Yagle and B. C. Levy, “Layer-stripping solutions of multidimensional scattering problems,” J. Math. Phys. 27, 1701–1710 (1986). [CrossRef]
  6. J. Skaar, L. Wang, and T. Erdogan, “On the synthesis of fiber Bragg gratings by layer peeling,” IEEE J. Quantum Electron. 37, 165–173 (2001). [CrossRef]
  7. O. H. Waagaard and J. Skaar, “Inverse scattering in multimode structures,” SIAM J. Appl. Math. 68, 311–333 (2007). [CrossRef]
  8. A. M. Bruckstein, I. Koltracht, and T. Kailath, “Inverse scattering with noisy data,” SIAM J. Sci. Statist. Comput. 7, 1331–1349(1986). [CrossRef]
  9. J. Skaar and R. Feced, “Reconstruction of gratings from noisy reflection data,” J. Opt. Soc. Am. A 19, 2229–2237 (2002). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited