Abstract

We numerically demonstrate a new optical filter formed by a set Fabry–Perot cavity. The structure can easily bring the finesse F to values in excess of 3000 and the quality factor Q in excess of 15,000.

© 2007 Optical Society of America

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References

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  1. J. H. Franz and V. K. Jian, Optical Communications--Components and Systems (CRC Press, 2001), pp. 298-301.
  2. C. M. Miller and J. W. Miller, "Wavelength-locked two-stage fibre Fabry-Perot filter for dense wavelength division demultiplexing in erbium-doped fibre amplifier spectrum," Electron. Lett. 28, 216-217 (1992).
    [CrossRef]
  3. S.-S. Lo, M. S. Wang, and C. C. Chen, "Semiconductor hollow optical waveguide formed by omni-directional reflector," Opt. Express 12, 6589-6594 (2004).
    [CrossRef] [PubMed]
  4. A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, 1984), pp. 171-172.
  5. C. C. Lee, Thin Film Optics and Coating Technology (I-Shiung, 2002), pp. 88-89.
  6. H. A. Macleod, Thin-Film Optical Filters (Elsevier, 1999), pp. 38-39.

2004 (1)

1992 (1)

C. M. Miller and J. W. Miller, "Wavelength-locked two-stage fibre Fabry-Perot filter for dense wavelength division demultiplexing in erbium-doped fibre amplifier spectrum," Electron. Lett. 28, 216-217 (1992).
[CrossRef]

Chen, C. C.

Franz, J. H.

J. H. Franz and V. K. Jian, Optical Communications--Components and Systems (CRC Press, 2001), pp. 298-301.

Jian, V. K.

J. H. Franz and V. K. Jian, Optical Communications--Components and Systems (CRC Press, 2001), pp. 298-301.

Lee, C. C.

C. C. Lee, Thin Film Optics and Coating Technology (I-Shiung, 2002), pp. 88-89.

Lo, S.-S.

Macleod, H. A.

H. A. Macleod, Thin-Film Optical Filters (Elsevier, 1999), pp. 38-39.

Miller, C. M.

C. M. Miller and J. W. Miller, "Wavelength-locked two-stage fibre Fabry-Perot filter for dense wavelength division demultiplexing in erbium-doped fibre amplifier spectrum," Electron. Lett. 28, 216-217 (1992).
[CrossRef]

Miller, J. W.

C. M. Miller and J. W. Miller, "Wavelength-locked two-stage fibre Fabry-Perot filter for dense wavelength division demultiplexing in erbium-doped fibre amplifier spectrum," Electron. Lett. 28, 216-217 (1992).
[CrossRef]

Wang, M. S.

Yariv, A.

A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, 1984), pp. 171-172.

Yeh, P.

A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, 1984), pp. 171-172.

Electron. Lett. (1)

C. M. Miller and J. W. Miller, "Wavelength-locked two-stage fibre Fabry-Perot filter for dense wavelength division demultiplexing in erbium-doped fibre amplifier spectrum," Electron. Lett. 28, 216-217 (1992).
[CrossRef]

Opt. Express (1)

Other (4)

A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, 1984), pp. 171-172.

C. C. Lee, Thin Film Optics and Coating Technology (I-Shiung, 2002), pp. 88-89.

H. A. Macleod, Thin-Film Optical Filters (Elsevier, 1999), pp. 38-39.

J. H. Franz and V. K. Jian, Optical Communications--Components and Systems (CRC Press, 2001), pp. 298-301.

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Figures (5)

Fig. 1
Fig. 1

Filters with two cascaded etalons: (a) two-pass and (b) two-cavity.

Fig. 2
Fig. 2

Schematic structure of a SHOW-ODR-based optical filter.

Fig. 3
Fig. 3

Transmission spectrum T ( λ ) for a filter structure with a six-pair Si SiO 2 SHOW-ODR calculated by BPM. The line (with circles) is port 1, and the line (with triangles) is port 2. The parameters are n Si = 3.48 , n SiO 2 = 1.48 , d 0 = 3.674 μ m , and L c = 3200 μ m . (a) 1400 nm < λ < 1700 nm ; (b) 1548 nm < λ < 1552 nm , Q = 15,500 .

Fig. 4
Fig. 4

Transmission spectrum T ( λ ) for a filter structure with a six-pair Si SiO 2 SHOW-ODR calculated by BPM. The line (with circles) is port 1, and the line (with triangles) is port 2. The parameters are n Si = 3.48 , n SiO 2 = 1.48 , d 0 = 3.674 μ m , and L c = 5000 μ m . (a) 1400 nm < λ < 1700 nm ; (b) 1554 nm < λ < 1556 nm , Q = 15,245 .

Fig. 5
Fig. 5

Transmission spectrum T ( λ ) for an optical filter structure with a seven-pair Si SiO 2 SHOW-ODR. The width of the SHOW-ODR air region is 1.3 μ m . The parameters are n Si = 3.48 , n SiO 2 = 1.48 , d 0 = 5.048 μ m , and L c = 7000 μ m . (a) Port 2 spectrum, 1400 nm < λ < 1700 nm ; (b) port 1 and 2 spectra, 1550 nm < λ < 1551 nm , Q = 20,000 .

Tables (1)

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Table 1 Parameters for SHOW-ODR Optical Filters

Equations (7)

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N eq = n 1 2 n 3 2 n N 1 2 n 2 2 n 4 2 n N 2 .
N eq = ( n 1 cos θ 1 ) 2 ( n 3 cos θ 3 ) 2 ( n N 1 cos θ N 1 ) 2 ( n 2 cos θ 2 ) 2 ( n 3 cos θ 3 ) 2 ( n N cos θ N ) 2 ,
N eq = ( n 1 cos θ 1 ) 2 ( n 3 cos θ 3 ) 2 ( n N 1 cos θ N 1 ) 2 ( n 2 cos θ 2 ) 2 ( n 3 cos θ 3 ) 2 ( n N cos θ N ) 2
R = ( n 0 cos θ N eq cos θ n 0 cos θ N eq cos θ ) 2 ,
R = ( n 0 cos θ N eq cos θ n 0 cos θ N eq cos θ ) 2
FSR = c 2 λ .
d ν = FSR d l λ 2 ,

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