# A Novel Multiband Filter Design based on Ring Resonators and DSP Approach

### M. R. Mokhtari, G. Rostami, M. Dolatyari, A. Rostami

#### Abstract

This paper proposes a novel ring resonator based optical filter that has an outstanding multi narrow band response due to adopting quasi structures such as Thue-Morse sequence as the radius-pattern. This capability introduces this design approach as an effective method for the design of filters for emerging dense wavelength division multiplexing networks. The design process incorporates analysing through the transfer matrix method and the powerful discrete-time signal processing techniques. Giving an adequate overview of analysing basic optical building blocks in the Z-domain, the procedure develops to analysing any optical structure imposed by mathematical sequences. The proposal is discussed employing pole-zero diagrams, discrete-time signal processing approach including apodization techniques. The point of the discrete-time signal processing approach is that the effect of dominant optical parameters over operation is clarified through the pole-zero position. Features like number of poles, bandwidth, and position of stop-bands can be controlled using ring diameter ratio. Finally, apodization of coupling coefficients attains a filter with an FWHM of 0.3 nm

#### References

- Brlek, S. (1989). Enumeration of factors in the Thue-Morse word. Discrete Applied Mathematics, 24(1), 83-96.
- Capmany, J., Domenech, J., & Muriel, M. (2007). Apodized coupled resonator waveguides. Optics express, 15(16), 10196-10206.
- Chamorro-Posada, P., Fraile-Pelaez, F. J., & Diaz-Otero, F. J. (2011). Micro-ring chains with high-order resonances. Journal of Lightwave Technology, 29(10), 1514-1521.
- Darmawan, S., Landobasa, Y. M., & Chin, M.-K. (2007). Pole-Zero Dynamics of High-Order Ring Resonator Filters. Journal of Lightwave Technology, 25(6), 1568- 1575.
- Dong, P., Feng, N.-N., Feng, D., Qian, W., Liang, H., Lee, D. C., . . . Toliver, P. (2010). GHz-bandwidth optical filters based on high-order silicon ring resonators. Optics express, 18(23), 23784-23789.
- Heebner, J. E., Chak, P., Pereira, S., Sipe, J. E., & Boyd, R. W. (2004). Distributed and localized feedback in microresonator sequences for linear and nonlinear optics. JOSA B, 21(10), 1818-1832.
- Kaalund, C. J., & Peng, G.-D. (2004). Pole-zero diagram approach to the design of ring resonator-based filters for photonic applications. Journal of Lightwave Technology, 22(6), 1548.
- Lenz, G., Eggleton, B., Giles, C., Madsen, C., & Slusher, R. (1998). Dispersive properties of optical filters for WDM systems. Quantum Electronics, IEEE Journal of, 34(8), 1390-1402.
- Liu, N.-h. (1997). Propagation of light waves in ThueMorse dielectric multilayers. Physical Review B, 55(6), 3543.
- Madsen, C. K., & Zhao, J. H. (1999). Optical filter design and analysis: Wiley-Interscience.
- Oppenheim, A. V., Schafer, R. W., & Buck, J. R. (1989). Discrete-time signal processing (Vol. 2): Prentice Hall Englewood Cliffs.
- Park, S., Kim, K.-J., Kim, I.-G., & Kim, G. (2011). Si micro-ring MUX/DeMUX WDM filters. Optics express, 19(14), 13531-13539.
- Rostami, A., & Matloub, S. (2004). Multi-band optical filter design using Fibonacci based quasiperiodic homogeneous structures. Paper presented at the Radio Science Conference, 2004. Proceedings. 2004 AsiaPacific.
- Rostami, A., & Rostami, G. (2005). Optical transmission properties of light propagation through Fibonacci-class ring-resonators. The European Physical Journal BCondensed Matter and Complex Systems, 47(1), 137- 143.

#### Paper Citation

#### in Harvard Style

R. Mokhtari M., Rostami G., Dolatyari M. and Rostami A. (2015). **A Novel Multiband Filter Design based on Ring Resonators and DSP Approach** . In *Proceedings of the 3rd International Conference on Photonics, Optics and Laser Technology - Volume 2: PHOTOPTICS,* ISBN 978-989-758-093-2, pages 101-107. DOI: 10.5220/0005335401010107

#### in Bibtex Style

@conference{photoptics15,

author={M. R. Mokhtari and G. Rostami and M. Dolatyari and A. Rostami},

title={A Novel Multiband Filter Design based on Ring Resonators and DSP Approach},

booktitle={Proceedings of the 3rd International Conference on Photonics, Optics and Laser Technology - Volume 2: PHOTOPTICS,},

year={2015},

pages={101-107},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0005335401010107},

isbn={978-989-758-093-2},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 3rd International Conference on Photonics, Optics and Laser Technology - Volume 2: PHOTOPTICS,

TI - A Novel Multiband Filter Design based on Ring Resonators and DSP Approach

SN - 978-989-758-093-2

AU - R. Mokhtari M.

AU - Rostami G.

AU - Dolatyari M.

AU - Rostami A.

PY - 2015

SP - 101

EP - 107

DO - 10.5220/0005335401010107