Abstract

The design of hybrid and pure grating filters with two passbands (bicorn) is explained. The limitations on their performance due to temperature fluctuations and fabrication difficulties are considered. We show that hybrid bicorns with a 500-nm-broad 20-dB rejection band and a 10-pm FWHM with 300-pm peak separation are conceivable. They are useful for telecommunication applications. In addition, these filters are shorter than 1 mm and thus well adapted to micro-optics and integrated optics.

© 2001 Optical Society of America

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References

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  1. S. D. Smith, “Design of multilayer filters by considering two effective interfaces,” J. Opt. Soc. Am. 48, 43–50 (1957).
    [CrossRef]
  2. E. Pelletier, H. A. Macleod, “Interference filters with multiple peaks,” J. Opt. Soc. Am. 6, 683–687 (1982).
    [CrossRef]
  3. R. Richier, “Contrôle optique d’empilements multidiélectriques. Optimisation des performances par utilisation conjointe de méthodes expérimentales et numériques,” Thèse d’état (Université de Droit, d’Economie et des Sciences d’Aix-Marseille, d’Aix-Marseille, France, 1989).
  4. J. Bittebierre, B. Lazaridès, “Narrow-bandpass filters with broad rejection band for single-mode waveguides,” Appl. Opt. 40, 11–19 (2001).
    [CrossRef]
  5. P. Agraval, S. Radic, “Phase shifted fiber Bragg gratings and their application for wavelength demultiplexing,” IEEE Photon. Technol. Lett. 6, 995–997 (1994).
    [CrossRef]
  6. T. Yanagimachi, H. Oguri, S. Ishihara, J. Minowa, “High-performance and highly stable 0.3-nm-full-width-at-half-maximum interference optical filters,” Appl. Opt. 33, 3513–3517 (1994).
    [CrossRef] [PubMed]
  7. A. Thelen, Design of Optical Interference Coatings (McGraw- Hill, New York, 1989).
  8. A. Hamel, M. P. Mathieu, D. George, F. L. Malavieille, S. Menard, R. Richier, E. Pelletier, “Multiplexeur optique 1480/1550 nm pour amplification optique à fibre dopée,” in Proceedings of the 1992 Opto Conference (ESI, Paris, 1992), pp. 22–26.

2001 (1)

1994 (2)

P. Agraval, S. Radic, “Phase shifted fiber Bragg gratings and their application for wavelength demultiplexing,” IEEE Photon. Technol. Lett. 6, 995–997 (1994).
[CrossRef]

T. Yanagimachi, H. Oguri, S. Ishihara, J. Minowa, “High-performance and highly stable 0.3-nm-full-width-at-half-maximum interference optical filters,” Appl. Opt. 33, 3513–3517 (1994).
[CrossRef] [PubMed]

1982 (1)

E. Pelletier, H. A. Macleod, “Interference filters with multiple peaks,” J. Opt. Soc. Am. 6, 683–687 (1982).
[CrossRef]

1957 (1)

Agraval, P.

P. Agraval, S. Radic, “Phase shifted fiber Bragg gratings and their application for wavelength demultiplexing,” IEEE Photon. Technol. Lett. 6, 995–997 (1994).
[CrossRef]

Bittebierre, J.

George, D.

A. Hamel, M. P. Mathieu, D. George, F. L. Malavieille, S. Menard, R. Richier, E. Pelletier, “Multiplexeur optique 1480/1550 nm pour amplification optique à fibre dopée,” in Proceedings of the 1992 Opto Conference (ESI, Paris, 1992), pp. 22–26.

Hamel, A.

A. Hamel, M. P. Mathieu, D. George, F. L. Malavieille, S. Menard, R. Richier, E. Pelletier, “Multiplexeur optique 1480/1550 nm pour amplification optique à fibre dopée,” in Proceedings of the 1992 Opto Conference (ESI, Paris, 1992), pp. 22–26.

Ishihara, S.

Lazaridès, B.

Macleod, H. A.

E. Pelletier, H. A. Macleod, “Interference filters with multiple peaks,” J. Opt. Soc. Am. 6, 683–687 (1982).
[CrossRef]

Malavieille, F. L.

A. Hamel, M. P. Mathieu, D. George, F. L. Malavieille, S. Menard, R. Richier, E. Pelletier, “Multiplexeur optique 1480/1550 nm pour amplification optique à fibre dopée,” in Proceedings of the 1992 Opto Conference (ESI, Paris, 1992), pp. 22–26.

Mathieu, M. P.

A. Hamel, M. P. Mathieu, D. George, F. L. Malavieille, S. Menard, R. Richier, E. Pelletier, “Multiplexeur optique 1480/1550 nm pour amplification optique à fibre dopée,” in Proceedings of the 1992 Opto Conference (ESI, Paris, 1992), pp. 22–26.

Menard, S.

A. Hamel, M. P. Mathieu, D. George, F. L. Malavieille, S. Menard, R. Richier, E. Pelletier, “Multiplexeur optique 1480/1550 nm pour amplification optique à fibre dopée,” in Proceedings of the 1992 Opto Conference (ESI, Paris, 1992), pp. 22–26.

Minowa, J.

Oguri, H.

Pelletier, E.

E. Pelletier, H. A. Macleod, “Interference filters with multiple peaks,” J. Opt. Soc. Am. 6, 683–687 (1982).
[CrossRef]

A. Hamel, M. P. Mathieu, D. George, F. L. Malavieille, S. Menard, R. Richier, E. Pelletier, “Multiplexeur optique 1480/1550 nm pour amplification optique à fibre dopée,” in Proceedings of the 1992 Opto Conference (ESI, Paris, 1992), pp. 22–26.

Radic, S.

P. Agraval, S. Radic, “Phase shifted fiber Bragg gratings and their application for wavelength demultiplexing,” IEEE Photon. Technol. Lett. 6, 995–997 (1994).
[CrossRef]

Richier, R.

R. Richier, “Contrôle optique d’empilements multidiélectriques. Optimisation des performances par utilisation conjointe de méthodes expérimentales et numériques,” Thèse d’état (Université de Droit, d’Economie et des Sciences d’Aix-Marseille, d’Aix-Marseille, France, 1989).

A. Hamel, M. P. Mathieu, D. George, F. L. Malavieille, S. Menard, R. Richier, E. Pelletier, “Multiplexeur optique 1480/1550 nm pour amplification optique à fibre dopée,” in Proceedings of the 1992 Opto Conference (ESI, Paris, 1992), pp. 22–26.

Smith, S. D.

Thelen, A.

A. Thelen, Design of Optical Interference Coatings (McGraw- Hill, New York, 1989).

Yanagimachi, T.

Appl. Opt. (2)

IEEE Photon. Technol. Lett. (1)

P. Agraval, S. Radic, “Phase shifted fiber Bragg gratings and their application for wavelength demultiplexing,” IEEE Photon. Technol. Lett. 6, 995–997 (1994).
[CrossRef]

J. Opt. Soc. Am. (2)

S. D. Smith, “Design of multilayer filters by considering two effective interfaces,” J. Opt. Soc. Am. 48, 43–50 (1957).
[CrossRef]

E. Pelletier, H. A. Macleod, “Interference filters with multiple peaks,” J. Opt. Soc. Am. 6, 683–687 (1982).
[CrossRef]

Other (3)

R. Richier, “Contrôle optique d’empilements multidiélectriques. Optimisation des performances par utilisation conjointe de méthodes expérimentales et numériques,” Thèse d’état (Université de Droit, d’Economie et des Sciences d’Aix-Marseille, d’Aix-Marseille, France, 1989).

A. Thelen, Design of Optical Interference Coatings (McGraw- Hill, New York, 1989).

A. Hamel, M. P. Mathieu, D. George, F. L. Malavieille, S. Menard, R. Richier, E. Pelletier, “Multiplexeur optique 1480/1550 nm pour amplification optique à fibre dopée,” in Proceedings of the 1992 Opto Conference (ESI, Paris, 1992), pp. 22–26.

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Figures (4)

Fig. 1
Fig. 1

Theoretical reflectance (R) and phase (ϕ) as a function of wavelength (λ) plotted for the split-filter analysis of F H1. A common horizontal scale is used to compare the three diagrams: (a) R Left(λ) (thin curve), R Right(λ) (thick line, quite not separate from the 1 reflectance straight line) and reflectance of F H1 (dashed curve). (b) Reflectance R Left (λ) (thin curve) and R Right (λ) (thick curve) with an enlarged vertical scale. (c) ϕ(λ).

Fig. 2
Fig. 2

Theoretical transmittance of F H1 as a function of λ for Δn increasing index steps of the grating multiples of Δn 0 = 4.3 × 10-4 by 0.93 (crosses), 1 (thick curve), 1.16 (dashed curve), and 2 (thin curve, filter F H1).

Fig. 3
Fig. 3

Theoretical transmittance of F H2 as a function of λ in nanometers. The transmitted peaks of the bicorn are too narrow to be represented to the scale of Fig. 3, where only constraining oscillations are observable in the rejection band. Therefore we show them on a 700×-enlarged scale.

Fig. 4
Fig. 4

Theoretical transmittance of a peak of F H3 with a λ B glue OTH (thick curve), and for 0.1% (crosses), 1% (dashed curve), and 2% (thin curve) of λ B /4 excess of glue OTH.

Tables (1)

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Table 1 Grating Parameters and Optical Parameters of the Hybrid Filters

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