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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 21 — Oct. 17, 2007
  • pp: 13651–13653
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Surface plasmon interferometer in silicon-on-insulator: novel concept for an integrated biosensor: Reply

Peter Debackere, Stijn Scheerlinck, Peter Bienstman, and Roel Baets  »View Author Affiliations


Optics Express, Vol. 15, Issue 21, pp. 13651-13653 (2007)
http://dx.doi.org/10.1364/OE.15.013651


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Abstract

We provide further details on the calculation method used in the paper “Surface plasmon interferometer in silicon-on-insulator: novel concept for an integrated biosensor” [Opt. Express 14, 7063–7072 (2006)]. Contrary to the claims made in the Comment [Opt. Express 15, 13649–13650 (2007)], the method used does take radiation modes into account and can therefore handle the recapture of optical power from these modes. Convergence studies are provided to support our calculations.

© 2007 Optical Society of America

1. Introduction

In the comment [2

2. R. Levy and S. Ruschin, “Surface plasmon interferometer in silicon-on-insulator: novel concept for an integrated biosensor: Comment,” Opt. Express 15, 13649–13650 (2007). [CrossRef] [PubMed]

], the authors claim that the performance of the device we described in [1

1. P. Debackere, S. Scheerlinck, P. Bienstman, and R. Baets,“Surface plasmon interferometer in silicon-on-insulator: novel concept for an integrated biosensor,” Opt. Express 14, 7063–7072 (2006). [CrossRef] [PubMed]

] will degrade once the recapture of power from radiation modes is taken into account. While it is true that we provided a simple physical explanation of the workings of the device based only on two guided modes, we do want to stress again that, as explicitly stated in section 4 of our original paper, all our numerical results for the sensitivity curves were obtained using full-wave calculations. Our method does take radiation modes into account, because we agree with the authors of the comment [2

2. R. Levy and S. Ruschin, “Surface plasmon interferometer in silicon-on-insulator: novel concept for an integrated biosensor: Comment,” Opt. Express 15, 13649–13650 (2007). [CrossRef] [PubMed]

] that these must not be neglected.

2. Calculation method

3. Convergence analysis

In the comment [2

2. R. Levy and S. Ruschin, “Surface plasmon interferometer in silicon-on-insulator: novel concept for an integrated biosensor: Comment,” Opt. Express 15, 13649–13650 (2007). [CrossRef] [PubMed]

], the authors provide a counterexample which is supposed to illustrate the effects of radiation modes. However, the structure they study is different from the optimised one we presented in Fig. 6 of [1

1. P. Debackere, S. Scheerlinck, P. Bienstman, and R. Baets,“Surface plasmon interferometer in silicon-on-insulator: novel concept for an integrated biosensor,” Opt. Express 14, 7063–7072 (2006). [CrossRef] [PubMed]

]), since the length of their device is 5.7 μm whereas the optimized device we have described has a length of 6.055 μm. As such, this counterexample does not prove any point. Also, we were unable to analyse this counterexample using our model, because in [2

2. R. Levy and S. Ruschin, “Surface plasmon interferometer in silicon-on-insulator: novel concept for an integrated biosensor: Comment,” Opt. Express 15, 13649–13650 (2007). [CrossRef] [PubMed]

] and in our subsequent communication with the authors, they did not provide parameters (Silicon waveguide thickness) of the device. Therefore, in order to provide additional support for our calculations, we have chosen instead to provide a detailed convergence analysis of one of the structures we published in [1

1. P. Debackere, S. Scheerlinck, P. Bienstman, and R. Baets,“Surface plasmon interferometer in silicon-on-insulator: novel concept for an integrated biosensor,” Opt. Express 14, 7063–7072 (2006). [CrossRef] [PubMed]

].

Fig. 1. Convergence Analysis

We will focus on the device with a Si-waveguide thickness of 101 nm, the corresponding length of the sensing section is 6.055 μm. All other parameters can be found in [1

1. P. Debackere, S. Scheerlinck, P. Bienstman, and R. Baets,“Surface plasmon interferometer in silicon-on-insulator: novel concept for an integrated biosensor,” Opt. Express 14, 7063–7072 (2006). [CrossRef] [PubMed]

]. To study the dependendce on the number of radiation modes we increased the number of modes in the simulation from 50 to 100 and follow the shape of the transmission spectrum. As can be seen in Fig. 1, once the number of modes is higher than 70, the shape of the transmission curve does not change significantly anymore.

It is also interesting to mention that the characteristics of this device were independently calculated by RSOFT with their software (FullWAVE) and similar results were obtained [7

7. RSOFT Design Group,“RSOFT Review,” 6, 1–2 (2007)

].

4. Conclusion

We agree with the authors of [2

2. R. Levy and S. Ruschin, “Surface plasmon interferometer in silicon-on-insulator: novel concept for an integrated biosensor: Comment,” Opt. Express 15, 13649–13650 (2007). [CrossRef] [PubMed]

] that radiation modes can play an important role when studying a device. However, we did take them into account in our original paper.

References and links

1.

P. Debackere, S. Scheerlinck, P. Bienstman, and R. Baets,“Surface plasmon interferometer in silicon-on-insulator: novel concept for an integrated biosensor,” Opt. Express 14, 7063–7072 (2006). [CrossRef] [PubMed]

2.

R. Levy and S. Ruschin, “Surface plasmon interferometer in silicon-on-insulator: novel concept for an integrated biosensor: Comment,” Opt. Express 15, 13649–13650 (2007). [CrossRef] [PubMed]

3.

CAMFR, freely available from http://sourceforge.org/projects/CAMFR

4.

P. Debackere, P. Bienstman, and R. Baets,“Improved ASR convergence for the simulation of surface plasmon waveguide modes,” Opt. Quantum Electron. 38, 857–867 (2006). [CrossRef]

5.

P. Bienstman and R. Baets, “Optical modelling of photonic crystals and VCSELs using eigenmode expansion and perfectly matched layers,” Opt. Quantum Electron. 33, 327–341 (2001). [CrossRef]

6.

D. Taillaert, W. Bogaerts, P. Bienstman, T. F. Krauss, P. Van Daele, I. Moerman, S. Verstuyft, K. De Mesel, and R. Baets, “An out-of-plane grating coupler for efficient butt-coupling between compact planar waveguides and single-mode fibers,” IEEE J. Quantum Electron. 38, 949–955 (2002). [CrossRef]

7.

RSOFT Design Group,“RSOFT Review,” 6, 1–2 (2007)

OCIS Codes
(130.3120) Integrated optics : Integrated optics devices
(130.6010) Integrated optics : Sensors
(240.6680) Optics at surfaces : Surface plasmons

ToC Category:
Integrated Optics

History
Original Manuscript: September 21, 2007
Revised Manuscript: September 27, 2007
Manuscript Accepted: October 1, 2007
Published: October 4, 2007

Virtual Issues
Vol. 2, Iss. 11 Virtual Journal for Biomedical Optics

Citation
Peter Debackere, Stijn Scheerlinck, Peter Bienstman, and Roel Baets, "Surface plasmon interferometer in silicon-on-insulator: novel concept for an integrated biosensor: Reply," Opt. Express 15, 13651-13653 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-21-13651


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References

  1. P. Debackere, S. Scheerlinck, P. Bienstman, and R. Baets,"Surface plasmon interferometer in silicon-on-insulator:novel concept for an integrated biosensor," Opt. Express 14, 7063-7072 (2006). [CrossRef] [PubMed]
  2. R. Levy and S. Ruschin, "Surface plasmon interferometer in silicon-on-insulator: novel concept for an integrated biosensor: Comment," Opt. Express 15,13649-13650 (2007). [CrossRef] [PubMed]
  3. CAMFR, freely available from http://sourceforge.org/projects/CAMFR
  4. P. Debackere, P. Bienstman, and R. Baets,"Improved ASR convergence for the simulation of surface plasmon waveguide modes," Opt. Quantum Electron. 38, 857-867 (2006). [CrossRef]
  5. P. Bienstman and R. Baets, "Optical modelling of photonic crystals and VCSELs using eigenmode expansion and perfectly matched layers," Opt. Quantum Electron. 33, 327-341 (2001). [CrossRef]
  6. D. Taillaert, W. Bogaerts, P. Bienstman, T. F. Krauss, P. Van Daele, I. Moerman, S. Verstuyft, K. De Mesel, and R. Baets, "An out-of-plane grating coupler for efficient butt-coupling between compact planar waveguides and single-mode fibers," IEEE J. Quantum Electron. 38, 949-955 (2002). [CrossRef]
  7. RSOFT Design Group,"RSOFT Review,"  6, 1-2 (2007).

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