## A novel super-high extinction ratio comb-filter based on cascaded Mach-Zehnder Gires-Tournois interferometers with dispersion compensation

Optics Express, Vol. 17, Issue 16, pp. 13685-13699 (2009)

http://dx.doi.org/10.1364/OE.17.013685

Acrobat PDF (1017 KB)

### Abstract

In this paper, we propose a novel Mach-Zehnder Gires- Tournois interferometer (MZGTI) and a scheme to realize super high extinction ratio flat-top comb filter based on cascaded MZGTIs. Two sets of novel multi-cavity transmissive Gires-Tournois etalon (MCT-GTE) composed of cascaded Mach-Zehnder interferometer loops are added to the two arms of Mach-Zehnder interferometer (MZI) respectively, which forms a new MZI, i.e., MZGTI. MZGTI has the same characteristics as Michelson-Gires-Tournois interferometer (MGTI), which is suitable for dense wavelength division multiplexing systems. The super-high extinction ratio comb filter (SHERCF) we proposed has good passband flatness and wide bandwidth (passband or stopband bandwidth) when the extinction ratio is fairly high, which is quite superior to MGTI or MZGTI. For the severe chromatic dispersion problems, we propose a set of multi-cavity ring resonator (MC-RR) as a tunable dispersion compensator (TDC) for MZGTI, which is a set of cascaded ring resonators. Moreover, we demonstrate that a set of cascaded MC-RRs is an efficient dispersion compensator for SHERCF with the optimized results.

© 2009 OSA

## 1. Introduction

1. L. R. Chen, “Tunable multiwavelength fiber ring lasers using a programmable high- birefringence fiber loop mirror,” IEEE Photon. Technol. Lett. **16**(2), 410–412 (2004). [CrossRef]

2. W. J. Carlsen and C. F. Buhrer, “Flat passband birefringent wavelength-division multiplexers,” Electron. Lett. **23**(3), 106–107 (1987). [CrossRef]

3. R. R. Willey, “Achieving narrow bandpass filters which meet the requirements for DWDM,” Thin Solid Films **398–399**, 1–9 (2001). [CrossRef]

5. M. Kohtoku, S. Oku, Y. Kadota, Y. Shibata, and Y. Yoshikuni, “200-GHz FSR periodic multi/demultiplexer with flattened transmission and rejection band by using a Mach-Zehnder interferometer with a ring resonator,” IEEE Photon. Technol. Lett. **12**(9), 1174–1176 (2000). [CrossRef]

7. K. Jinguji and M. Oguma, “Optical half-band filters,” J. Lightwave Technol. **18**(2), 252–259 (2000). [CrossRef]

8. J. J. Pan and Y. Shi “Dense WDM multiplexer and demultiplexer with 0.4nm channel spacing,”Electron. Lett. **34**(1), 74–75 (1998).
[CrossRef]

14. L. Wei and J. W. Y. Lit, “Design optimization of flattop interleaver and its dispersion compensation,” Opt. Express **15**(10), 6439–6457 (2007). [CrossRef] [PubMed]

14. L. Wei and J. W. Y. Lit, “Design optimization of flattop interleaver and its dispersion compensation,” Opt. Express **15**(10), 6439–6457 (2007). [CrossRef] [PubMed]

14. L. Wei and J. W. Y. Lit, “Design optimization of flattop interleaver and its dispersion compensation,” Opt. Express **15**(10), 6439–6457 (2007). [CrossRef] [PubMed]

13. C. H. Hsieh, C. W. Lee, S. Y. Huang, R. Wang, P. Yeh, and W. H. Cheng, “Flat-top and low-dispersion interleavers using Gires-Tournois etalons as phase dispersive mirrors in a Michelson interferometer,” Opt. Commun. **237**(4–6), 285–293 (2004). [CrossRef]

**15**(10), 6439–6457 (2007). [CrossRef] [PubMed]

18. M. Shirasaki, “chromatic-dispersion compensator using virtually imaged phased array,” IEEE Photon. Technol. Lett. **9**(12), 1598–1600 (1997). [CrossRef]

19. C. K. Madsen, G. Lenz, A. J. Bruce, M. A. Cappuzzo, L. T. Gomez, and R. E. Scotti, “integrated all-pass filters for tunable dispersion and dispersion slope compensation,” IEEE Photon. Technol. Lett. **11**(12), 1623–1625 (1999). [CrossRef]

20. O. Schwelb, “Transmission, group delay, and dispersion in single-ring optical resonators and add/drop filters-a tutorial overview,” J. Lightwave Technol. **22**(5), 1380–1394 (2004). [CrossRef]

13. C. H. Hsieh, C. W. Lee, S. Y. Huang, R. Wang, P. Yeh, and W. H. Cheng, “Flat-top and low-dispersion interleavers using Gires-Tournois etalons as phase dispersive mirrors in a Michelson interferometer,” Opt. Commun. **237**(4–6), 285–293 (2004). [CrossRef]

5. M. Kohtoku, S. Oku, Y. Kadota, Y. Shibata, and Y. Yoshikuni, “200-GHz FSR periodic multi/demultiplexer with flattened transmission and rejection band by using a Mach-Zehnder interferometer with a ring resonator,” IEEE Photon. Technol. Lett. **12**(9), 1174–1176 (2000). [CrossRef]

7. K. Jinguji and M. Oguma, “Optical half-band filters,” J. Lightwave Technol. **18**(2), 252–259 (2000). [CrossRef]

**15**(10), 6439–6457 (2007). [CrossRef] [PubMed]

13. C. H. Hsieh, C. W. Lee, S. Y. Huang, R. Wang, P. Yeh, and W. H. Cheng, “Flat-top and low-dispersion interleavers using Gires-Tournois etalons as phase dispersive mirrors in a Michelson interferometer,” Opt. Commun. **237**(4–6), 285–293 (2004). [CrossRef]

16. D. Yang, C. Lin, W. Chen, and G. Barbarossa, “Fiber dispersion and dispersion slope compensation in a 40-channel 10-Gb/s 3200-km transmission experiment using cascaded single-cavity Gires-Tournois Etalons,” IEEE Photon. Technol. Lett. **16**(1), 299–301 (2004). [CrossRef]

5. M. Kohtoku, S. Oku, Y. Kadota, Y. Shibata, and Y. Yoshikuni, “200-GHz FSR periodic multi/demultiplexer with flattened transmission and rejection band by using a Mach-Zehnder interferometer with a ring resonator,” IEEE Photon. Technol. Lett. **12**(9), 1174–1176 (2000). [CrossRef]

7. K. Jinguji and M. Oguma, “Optical half-band filters,” J. Lightwave Technol. **18**(2), 252–259 (2000). [CrossRef]

19. C. K. Madsen, G. Lenz, A. J. Bruce, M. A. Cappuzzo, L. T. Gomez, and R. E. Scotti, “integrated all-pass filters for tunable dispersion and dispersion slope compensation,” IEEE Photon. Technol. Lett. **11**(12), 1623–1625 (1999). [CrossRef]

20. O. Schwelb, “Transmission, group delay, and dispersion in single-ring optical resonators and add/drop filters-a tutorial overview,” J. Lightwave Technol. **22**(5), 1380–1394 (2004). [CrossRef]

21. M. Kawachi“Silica waveguides on silicon and their application to integrated-optic components,” Opt. Quantum Electron. **22**(5), 391–416 (1990). [CrossRef]

*elements [12–17]. So the reflective GTEs are suitable to be combined with Michelson interferometer to form an MGTI. As the first feature of this paper, we propose a novel multi-cavity*

**reflective***Gires-Tournois etalon (MCT-GTE) composed of cascaded Mach-Zehnder interferometer loops (MZILs). Each MZIL forms a cavity. Mathematically, it has the same dispersive phase as multi-cavity reflective Gires-Tournois etalons (MCR-GTE). Thus MCT-GTE is suitable to be added to each arm of a Mach-Zehnder interferometer (MZI) to form a novel MZI, i.e., Mach-Zehnder Gires-Tournois interferometer (MZGTI). An MZGTI is an interleaver, which has the same spectral characteristics as an MGTI whose merits have been mentioned above.*

**transmissive***π*/2 between MCT-GTEn and MC-RRn, where n is the sum of cavities. Due to this inherent phase shift, MC-RR as the TDC for MZGTI doesn’t need any phase shifters since the compensation bands are exactly located at the passbands of MZGTI provided that their cavity lengths are equal. The compensation band is the band where dispersion is tunable and can be used to compensate MZGTI’s dispersion in passband. In another work we have demonstrated that a set of MC-RRn is an efficient TDC for MGTI. Here, one can see that it is also an efficient TDC for MZGTI.

## 2. Design of super high extinction ratio comb filter (SHERCF)

### 2.1 Structure of SHERCF

**15**(10), 6439–6457 (2007). [CrossRef] [PubMed]

### 2.2 Principles

#### 2.2.1 MCT-GTEn

20. O. Schwelb, “Transmission, group delay, and dispersion in single-ring optical resonators and add/drop filters-a tutorial overview,” J. Lightwave Technol. **22**(5), 1380–1394 (2004). [CrossRef]

*β*=

*n*,

_{eff}k*k*=2

*π/λ*,

*n*is the effective refractive index,

_{eff}*λ*is the wavelength in vacuum.

*K*

_{i1}and

*K*

_{i2}are the bar coupling ratios of Coupler i1 and Coupler i2 respectively.

*is the length of each arm of the i-th MZI (coupling region lengths of Coupler i1 and i2 have been included). We refer to*

_{MZi}l*as the equivalent coupling region length of the i-th compound coupler.*

_{MZi}l**15**(10), 6439–6457 (2007). [CrossRef] [PubMed]

*of MCT-GTEn in Fig. 3 can be expressed as:*

_{n}t*r*=|

_{n}*z*|.

_{n}*z*is defined in Eqs. (1)–(2). When n is odd,

_{n}*z*must be negative. When it is even,

_{n}*z*must be positive. 2

_{n}*ϕ*is the dispersive phase of MCT-GTEn.

_{n}*a*=(1-

_{n}*r*)/(1+

_{n}*r*).

_{n}*δ*=0.5

*kL*,

*L*=

*n*(

_{eff}*l*′

_{1}+

*l*

_{MZ1})=…=

*n*(

_{eff}*l*

_{MZ}_{(n-1)}+

*l*′

*+*

_{n}*l*) is the effective cavity length.

_{MZn}*l′*, which has been marked in Fig. 3, is the length of the i-th MZIL excluding MZI

_{i}_{i}and MZI

_{(i-1)}. Specially,

*ϕ*

_{0}=0. From Eqs. (3)–(4), we infer that the structure proposed in Fig. 3 is really a multi-cavity transmissive Gires-Tournois etalon, i.e., MCT-GTE. It is an all-pass filter.

#### 2.2.2 mn-MZGTI

*ϕ*and 2

_{m}*θ*to denote the dispersive phases of MCT-GTEm(on Arm a) and MCT-GTEn(on Arm b) respectively. When both m and n are odd or even, the normalized output intensity of the mn-MZGTI in Fig. 2 can be written in Eq. (5). But when they have different parity, the expressions for

_{n}*I*and

_{bar}*I*should be exchanged. The two output ports (i.e.,

_{cross}*I*and

_{bar}*I*) are complementary, which make MZGTI be an interleaver that is suitable for DWDM systems.

_{cross}*L*=0.5

*L*, and Δ

*L*=

*n*[(

_{eff}*L*+

_{b}*l*)-(

^{b}_{MZn}*L*+

_{a}*l*)], which is the same as MGTI [13

^{a}_{MZm}**237**(4–6), 285–293 (2004). [CrossRef]

*L*and

_{a}*L*are the length of the two arms of MZGTI excluding MCT-GTE respectively.(’a’ and ’b’means Arm a and Arm b respectively).

_{b}*n*) does not change with wavelength, then the dispersive phase for each output port of mn-MZGTI is

_{eff}#### 2.2.3 SHERCF

#### 2.3 Spectrum characteristics

**15**(10), 6439–6457 (2007). [CrossRef] [PubMed]

**15**(10), 6439–6457 (2007). [CrossRef] [PubMed]

**15**(10), 6439–6457 (2007). [CrossRef] [PubMed]

**15**(10), 6439–6457 (2007). [CrossRef] [PubMed]

*I*=1) and stopband centers(

_{oa}*I*=0)are determined by

_{oa}*δ*=

*π*+2

*qπ*and

*δ*=2

*qπ*respectively(q is an integer). The cases for

*I*and

_{ob}*I*are contrary to

_{oc}*I*. All the wavelengths labeled along the horizontal coordinate axis in Fig. 4 are passband centers and stopband centers. SHERCF has the same spectral periodicity as its basic cell, i.e., mn-MZGTI. Spectrum spacing is the wavelength distance between two adjacent passband centers. Generally q is a large integer, so we use this approximate formula Δ

_{oa}*λ*=

*λ*

^{2}

_{0}/Δ

*L*to calculate it, where

*λ*

_{0}is the center wavelength. Δ

*λ*is approximately 0.8nm in Fig. 4.

#### 2.4 Chromatic dispersion of SHERCF

*GD*=-

*d*Φ/

*dω*and

*CD*=

*dGD/dλ*respectively [13

**237**(4–6), 285–293 (2004). [CrossRef]

*ϕ*. Then we obtain the GD and CD for MCT-GTEn which also have recursive characteristics as phase.

_{n}*τ=L/c*,

*c*is the light velocity in vacuum. Specially,

*GD*

_{0}=0.

*h*=

*πL/λ*

^{2}.

^{2}respectively, where L is the effective cavity length. Both GD and CD have periodic response. Their periods are half the spectrum spacing. Moreover, by easy analysis, we infer that the passband and stopband centers are all zero dispersion points. So are the wavelength points determined by

*δ*=

*π*/2+

*yπ*(y is an integer).

*δ*=

*π*/2+

*yπ*where exists the sharp edge of the spectrum. Generally speaking, CD of 22-MZGTI is bad, which is the inherent defect of interleavers based on resonators. Though extinction ratio of SHERCF multiplies, its CD multiplies as well. Hence CD problem of SHERCF is much more severe than single mn-MZGTI. The more cascaded MZGTIs are, the worse the CD is.

### 3. Dispersion compensation

*l*is the length of the coupling region of the u-th coupler.

_{cu}*f*=(1-

_{u}*r*)/(1+

_{cu}*r*),

_{cu}*δ*=0.5

_{c}*kL*, and

_{c}*L*=

_{c}*n*(

_{eff}*l*

_{c1}+

*l*′

_{1})=…=

*n*(

_{eff}*l*

_{c}_{(u-1)}+

*l′*+

_{u}*l*). L

_{cu}_{c}is the effective cavity length of each ring resonator. Specially

*ϕ*

_{co}=0. (the extra subscript character ‘c’ means compensator)

### 3.2 Chromatic dispersion of MC-RRu

_{c}=2

*ϕ*. Then the recursive formulas for group delay (

_{cu}*GD*) and chromatic dispersion (

_{c}*CD*) of MC-RRu are

_{c}*τ*=

_{c}*L*is the light velocity in vacuum. Specially,

_{c}/c, c*GD*

_{c0}=0.

*h*=

_{c}*πL*/

_{c}*λ*

^{2}.

**18**(2), 252–259 (2000). [CrossRef]

6. K. Oda, N. Takato, H. Toba, and K. Nosu, “A wide-band guided- wave periodic multi/demultiplexer with a ring resonator for optical FDM transmission systems,” J. Lightwave Technol. **6**(6), 1016–1023 (1988). [CrossRef]

**18**(2), 252–259 (2000). [CrossRef]

*π*/2 -phase-shift between MC-RR and MCT-GTE. So, a

*π*/2 -phase-shifter should be added to either arm of the MZI [6

6. K. Oda, N. Takato, H. Toba, and K. Nosu, “A wide-band guided- wave periodic multi/demultiplexer with a ring resonator for optical FDM transmission systems,” J. Lightwave Technol. **6**(6), 1016–1023 (1988). [CrossRef]

*λ n*is usually used to serve as the

*π*/2 -phase-shifter. Then the phase matching condition (see Section 2.2.2) must be modified as Δ

*L*=0.5

*L*±

*λ*

_{0}/4, where

*λ*

_{0}is the center-wavelength of the interleaver’s working waveband. However, only the center-wavelength (i.e.,

*λ*

_{0}) can obtain an accurate phase shift of

*π*/2. For the wavelength away from

*λ*

_{0}, the amount of phase shift will deviate from

*π*/2. Therefore, the interleaver’s spectral performance away from the center-wavelength will be degraded since the modified phase matching condition is relative to the center-wavelength, which means that spectral performance will be inhomogenous along with wavelength. MCT-GTE can solve this problem since MZGTI doesn’t need any phase-shifters.

**15**(10), 6439–6457 (2007). [CrossRef] [PubMed]

*π*/2 -phase-shift of MC-RR mentioned above, the compensation band of MC-RR is exactly located at the passband of MZGTI if only all the effective cavity lengths are equal (Lc=L).

### 3.3 Dispersion compensation for MZGTI and SHERCF

*r*(i=1-u), the compensation effect will be the best if the CD compensator has exactly the same dispersion and dispersion slope as that of SHERCF in passband, but with opposite sign respectively. In this case, CD of SHERCF can be compensated to zero. Actually, only in some points can the CD be compensated to zero. We only use single MC-RRu as a TDC for mn-MZGTI. But we use a set of 2p cascaded MC-RRs (i.e., 2p-MC-RRu) as a CD compensator for SHERCF (i.e., p-mn-MZGTI). Then what’s the optimized goal? Using MCT-GTEu (or MCR-GTEu) as a TDC, the compensated CD of single mn-MZGTI must be a curve with ripples, which is the same as the resultant CD of MGTI compensated by a set of multi-cavity Gires-Tournois etalons discussed in Ref [14

_{ci}**15**(10), 6439–6457 (2007). [CrossRef] [PubMed]

_{4}to compensate the CD of 22-MZGTI and SHERCF (p-22-MZGTI) respectively. In Fig. 9(a), CD curves of the same line style are the CD curves of the filter(22-MZGTI or p-22-MZGTI) and its corresponding CD compensator(MC-RR4 or 2p-MC-RR4) respectively. A compensated CD curve in Fig. 9(b)–9(c) is obtained by adding the two CD curves of the same line style in Fig. 9(a). In Fig. 9(c), there are four peaks and four troughs in the ripple region, i.e., quasi-flat dispersion region. One can see that the compensation effect of 22-MZGTI is the best. For p-22-MZGTI, the quasi-flat dispersion region gets narrower with the increase of p.

*r*(i=1-4) versus dispersion ripple for w-MC-RR4.

_{ci}*ci r*increase with the increase of dispersion ripple and parameters follow the order of

*r*

_{c1}≫

*r*

_{c2}≫

*r*

_{c3}≫

*r*

_{c4}. Parameters should be smaller for w-MC-RR

_{4}with larger w when dispersion ripple is fixed at a certain value.

## 4. Discussion

**15**(10), 6439–6457 (2007). [CrossRef] [PubMed]

**12**(9), 1174–1176 (2000). [CrossRef]

**18**(2), 252–259 (2000). [CrossRef]

*Δ*=0.5L), which means that the phase delay difference between the two arms of MZGTI should be half the phase delay of single cavity. Hence the length matching is essentially phase matching. If the real length deviation is δ

_{L}*′*, the effective length mismatch amount is

_{L}*δ*=

_{L}*n*

_{eff}*δ′L*. Then the phase mismatch amount (

*δϕ*) is 2

*πδ*. Performance of MZGTI is very sensitive to phase mismatch. For the filter working in C-band (

_{L}/π*λ*=1550

*nm*), if

*δϕ*is restricted within 0.087rad (5°), then

*should be limited at least within 21.5nm. It’s very severe that the effective length should be accurate to nanometers, which is mainly due to the wavelength of C-band is very short. If*

_{L}δ*λ*is10

*µm*,

*can be larger, i.e., 138.5nm*

_{L}δ*δ*<138.5nm. The length mismatch decreases the extinction ratio, destroys the spectral symmetry and degrades the passband flatness [6

_{L}6. K. Oda, N. Takato, H. Toba, and K. Nosu, “A wide-band guided- wave periodic multi/demultiplexer with a ring resonator for optical FDM transmission systems,” J. Lightwave Technol. **6**(6), 1016–1023 (1988). [CrossRef]

**12**(9), 1174–1176 (2000). [CrossRef]

**15**(10), 6439–6457 (2007). [CrossRef] [PubMed]

*δ*) is the most important and difficult one which should be overcomed firstly. It can be efficiently overcomed by means of the waveguide temperature control, i.e., inserting a heater whose refractive index can be adjusted [6

_{L}**6**(6), 1016–1023 (1988). [CrossRef]

*δ*) can be controlled within 10nm [22].

_{L}## 5. Conclusion

^{-4}dB and an extinction ratio of 204dB by cascading only two MZGTIs. Both the passband bandwidth and stopband bandwidth are 0.329nm. The performance of SHERCF is determined by its basic cell. In theory, ripple and extinction ratio (dB) of SHERCF are several times of its basic cell, but the passband bandwidth and stopband bandwidth remain the same as its basic cell. So the more cascaded MZGTI are, the higher extinction ratio will be achieved.

*π*/2 between MCT-GTE and MC-RR. Due to this inherent phase shift, MC-RR as the TDC for MZGTI doesn’t need any phase shifters, which is better than MCR-GTE (or MCT-GTE) [14

**15**(10), 6439–6457 (2007). [CrossRef] [PubMed]

## 6. Acknowledgments

## References and links

1. | L. R. Chen, “Tunable multiwavelength fiber ring lasers using a programmable high- birefringence fiber loop mirror,” IEEE Photon. Technol. Lett. |

2. | W. J. Carlsen and C. F. Buhrer, “Flat passband birefringent wavelength-division multiplexers,” Electron. Lett. |

3. | R. R. Willey, “Achieving narrow bandpass filters which meet the requirements for DWDM,” Thin Solid Films |

4. | D. W. Huang, T. H. Chiu, and Y. Lai, “Arrayed waveguide grating DWDM interleaver,” OFC, Anaheim, California, WDD80(2001). |

5. | M. Kohtoku, S. Oku, Y. Kadota, Y. Shibata, and Y. Yoshikuni, “200-GHz FSR periodic multi/demultiplexer with flattened transmission and rejection band by using a Mach-Zehnder interferometer with a ring resonator,” IEEE Photon. Technol. Lett. |

6. | K. Oda, N. Takato, H. Toba, and K. Nosu, “A wide-band guided- wave periodic multi/demultiplexer with a ring resonator for optical FDM transmission systems,” J. Lightwave Technol. |

7. | K. Jinguji and M. Oguma, “Optical half-band filters,” J. Lightwave Technol. |

8. | J. J. Pan and Y. Shi “Dense WDM multiplexer and demultiplexer with 0.4nm channel spacing,”Electron. Lett. |

9. | R. Kashyap, “A simplified approach to the Bragg grating based Michelson and the in-coupler Bragg grating add-drop multiplexer,” OFC, San Diego, CA, TuN3 (1999). |

10. | M. Kuznetsov, “Cascaded coupler Mach-Zehnder channel dropping filters for wavelength-division- multiplexed optical systems,” J. Lightwave Technol. |

11. | Y. L. Huang, J. Li, G. Y. Kai, and X. Y. Dong, “High extinction ratio multiplexer/demultiplexer with a Mach-Zehnder interferometer and a fiber loop mirror,” Chin. Opt. Lett. |

12. | Q. J. Wang, Y. Zhang, and Y. C. Soh, “An efficient all-fiber interleaving filter using fiber Gires- Tournois etalons on a Michelson interferometer,” OFC, Anaheim, California, OW170(2006). |

13. | C. H. Hsieh, C. W. Lee, S. Y. Huang, R. Wang, P. Yeh, and W. H. Cheng, “Flat-top and low-dispersion interleavers using Gires-Tournois etalons as phase dispersive mirrors in a Michelson interferometer,” Opt. Commun. |

14. | L. Wei and J. W. Y. Lit, “Design optimization of flattop interleaver and its dispersion compensation,” Opt. Express |

15. | L. Wei, Z. Huang, and J. W. Y. Lit, “Dispersion compensation using mismatched multicavity etalon all-pass filter,” Opt. Commun. |

16. | D. Yang, C. Lin, W. Chen, and G. Barbarossa, “Fiber dispersion and dispersion slope compensation in a 40-channel 10-Gb/s 3200-km transmission experiment using cascaded single-cavity Gires-Tournois Etalons,” IEEE Photon. Technol. Lett. |

17. | X. W. Shu, K. Sugden, P. Rhead, J. Mitchell, I. Felmeri, G. Lloyd, K. Byron, Z. J. Huang, I. Khrushchev, and I. Bennion, “Tunable dispersion compensator based on distributed Gires-Tournois etalons,” IEEE Photon. Technol. Lett. 15(8) , 1111–1113 (2003). |

18. | M. Shirasaki, “chromatic-dispersion compensator using virtually imaged phased array,” IEEE Photon. Technol. Lett. |

19. | C. K. Madsen, G. Lenz, A. J. Bruce, M. A. Cappuzzo, L. T. Gomez, and R. E. Scotti, “integrated all-pass filters for tunable dispersion and dispersion slope compensation,” IEEE Photon. Technol. Lett. |

20. | O. Schwelb, “Transmission, group delay, and dispersion in single-ring optical resonators and add/drop filters-a tutorial overview,” J. Lightwave Technol. |

21. | M. Kawachi“Silica waveguides on silicon and their application to integrated-optic components,” Opt. Quantum Electron. |

22. | Z. P. Wang and Y. J. Chen, “Thermal properties and passband improvement of high index contrast micro-ring resonator by phase error correction,” ECOC, Glasgow, Scotland, We4. P.44(2005). |

**OCIS Codes**

(060.1810) Fiber optics and optical communications : Buffers, couplers, routers, switches, and multiplexers

(060.2340) Fiber optics and optical communications : Fiber optics components

(120.2230) Instrumentation, measurement, and metrology : Fabry-Perot

(120.2440) Instrumentation, measurement, and metrology : Filters

(130.3120) Integrated optics : Integrated optics devices

(130.2035) Integrated optics : Dispersion compensation devices

**ToC Category:**

Fiber Optics

**History**

Original Manuscript: April 2, 2009

Revised Manuscript: July 1, 2009

Manuscript Accepted: July 1, 2009

Published: July 24, 2009

**Citation**

Yu Zhang, Wencai Huang, Xiulin Wang, Huiying Xu, and Zhiping Cai, "A novel super-high extinction ratio comb-filter based on cascaded Mach-Zehnder Gires-Tournois interferometers with dispersion compensation," Opt. Express **17**, 13685-13699 (2009)

http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-16-13685

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### References

- L. R. Chen, “Tunable multiwavelength fiber ring lasers using a programmable high- birefringence fiber loop mirror,” IEEE Photon. Technol. Lett. 16(2), 410–412 (2004). [CrossRef]
- W. J. Carlsen and C. F. Buhrer, “Flat passband birefringent wavelength-division multiplexers,” Electron. Lett. 23(3), 106–107 (1987). [CrossRef]
- R. R. Willey, “Achieving narrow bandpass filters which meet the requirements for DWDM,” Thin Solid Films 398-399, 1–9 (2001). [CrossRef]
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