Progress In Electromagnetics Research M
ISSN: 1937-8726
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 36 > pp. 23-37


By S. K. Raghuwanshi and D. P. Panda

Full Article PDF (236 KB)

In this paper, we develop and present a complete analytical method to analyze the spectral response of a non-uniform multimode fiber Bragg grating assisted devices supporting a few modes. We present the analytical solution while taking into account the two forward and two backward propagating even or odd normal modes of the grating using the matrix method of multimode coupled grating assisted coupler, for sensing application. Earlier, these types of numerical technique based analysis were presented by other researchers, but no one seems to present a complete analytical solution for the given case. The present analytical analysis can simulate a single mode to multimode coupled sensing waveguide devices based on non-uniform grating assisted operation in a coupled structure. The potential applications of our findings will be mostly in sensing devices.

S. K. Raghuwanshi and D. P. Panda, "A Complete Analytical Analysis and Modeling of Few Mode Non-Uniform Fiber Bragg Grating Assisted Sensing Waveguide Devices," Progress In Electromagnetics Research M, Vol. 36, 23-37, 2014.

1. Sipe, J. E., L. Poladian, and C. Martijn de Sterke, "Propagation through nonuniform grating structures," J. Opt. Soc. Am. A, Vol. 11, No. 4, 1307-1320, Apr. 1994.

2. Wang, X., W. Shi, R. Vafaei, N. A. F. Jaeger, and L. Chrostowski, "Uniform and sampled Bragg gratings in SOI strip waveguides with sidewall corrugations," IEEE Photon. Tech. Lett., Vol. 23, 290-292, 2011.

3. Giuntoni, I., D. Stolarek, A. Gajda, J. B. G. Winzer, B. Tillack, K. Petermann, and L. Zimmerman, "Integrated drop-filter for dispersion compensation based on SOI rib waveguides," Optical Fiber Communication Conference, OSA Technical Digest, Paper OThJ5, San Diego, CA, 2010.

4. Fang, A. W., E. Lively, Y.-H. Kuo, D. Liang, and J. E. Bowers, "A distributed feedback silicon evanescent laser," Opt. Express, Vol. 6, No. 7, 4413-4419, 2008.

5. Berger, N. K., B. Levit, B. Fischer, M. Kulishov, D. V. Plant, and J. AzaƱa, "Temporal differentiation of optical signals using a phase-shifted fiber Bragg grating," Opt. Express, Vol. 15, No. 2, 371-377, 2006.

6. Chrostowski, L., S. Grist, J. Flueckiger, W. Shi, X. Wang, E. Ouellet, H. Yun, M. Webb, B. Nie, Z. Liang, K. C. Cheung, S. A. Schmidt, D. M. Ratner, and N. A. F. Jaeger, "Silicon photonic resonator sensors and devices," Proceedings of SPIE, Vol. 8236, 823620, 2012.

7. Tan, D. T. H., K. Ikeda, and Y. Fainman, "Coupled chirped vertical gratings for on-chip group velocity dispersion engineering," Appl. Phys. Lett., Vol. 95, 141109, 2009.

8. Shi, W., X. Wang, W. Zhang, L. Chrostowski, and N. A. F. Jaeger, "Contradirectional couplers in silicon-on-insulator rib waveguides," Opt. Lett., Vol. 36, 3999-4001, 2011.

9. Mekis, A., S. Gloeckner, G. Masini, A. Narasimha, T. Pinguet, S. Sahni, and P. D. Dobbelaere, "A grating-coupler-enabled CMOS photonics platform," IEEE Journal of Selected Topics in Quantum Electronics, Vol. 17, No. 3, 597-608, 2011.

10. Shi, W., X. Wang, C. Lin, H. Yun, Y. Liu, T. Baehr-Jones, M. Hochberg, N. A. F. Jaeger, and L. Chrostowski, "Silicon photonic grating-assisted, contra-directional couplers," Opt. Express, Vol. 21, No. 3, 3633, 2013.

11. Raghuwanshi, S. K., V. Kumar, and S. Talabattula, "Dispersion and peak reflectivity analysis in a non-uniform FBG based sensors due to arbitrary refractive index profile," Progress In Electromagnetics Research B, Vol. 36, 249-265, 2012.

12. Riziotis, C. and M. N. Zervas, "Design considerations of optical Add-Drop filters based on grating assisted mode conversion in null couplers," Journal of Lightwave Technology, Vol. 19, No. 1, 92-104, Jan. 2001.

13. Erdogn, T., "Fiber grating spectra," Journal of Lightwave Technology, Vol. 15, No. 8, 1277-1294, Aug. 1997.

14. Sun, N.-H., J.-J. Liau, Y.-W. Kiang, S.-C. Lin, R.-Y. Ro, J.-S. Chiang, and H.-W. Chang, "Numerical analysis of apodized fiber Bragg gratings using coupled mode theory," Progress In Electromagnetics Research, Vol. 99, 289-306, 2009.

15. Watanabe, K., J. Ishihara, and K. Yasumoto, "Coupled-mode analysis of a grating-assisted directional coupler using singular perturbation technique," Progress In Electromagnetics Research, Vol. 25, 23-37, 2000.

16. Weber, J.-P., "Spectral characteristics of coupled-waveguide Bragg-reflection tunable optical filter," IEE Proceedings J --- Optoelectronics, Vol. 140, No. 5, 275-284, Oct. 1993.

17. Chen, C. T., Linear System Theory and Design, Holt, New York, 1984.

18. Raghuwanshi, S. K. and S. Talabattula, "Analytical method to estimate the bandwidth of an uniform FBG based instrument," J. Instrum. Soc., Vol. 37, No. 4, 297-308, India, 2007.

19. Raghuwanshi, S. K. and S. Talabattula, "Asymmetric dispersion and pulse distortion in an uniform fiber Bragg gratings," Indian J. Phys., Vol. 82, No. 12, 1-7, Springer, Dec. 2008.

20. Zhao, Y. and J. C. Palais, "Fiber Bragg grating coherence spectrum modeling, simulation, and characteristics," Journal of Lightwave Technology, Vol. 15, No. 1, Jan. 1997.

21. Riziotis, C., Advanced Bragg grating based integrated optical devices for wavelength division multiplexing systems, University of Southampton, Sep. 2001.

22. Hill, K. O. and G. Meltz, "Fiber Bragg grating technology fundamentals and overview," Journal of Lightwave Technology, Vol. 15, No. 8, 1263-1276, Aug. 1997.

23. Hill, K. O., "Photosensitivity in optical fiber waveguides: From discovery to commercialization," IEEE Journal on Selected Topics in Quantum Electronics, Vol. 6, No. 6, 1186-1189, Nov./Dec. 2000.

24. Kashyap, R., Fiber Bragg Gratings, Academic Press, 1999.

25. Othonos, A. and K. Kalli, Fiber Bragg Gratings: Fundamentals and Applications in Telecommunications and Sensing, Artech House, 1999.

26. Ghatak, A. and K. Thyagarajan, An Introduction to Fiber Optics, Cambridge University Press, 1998.

27. Yariv, A., "Coupled-mode theory for guided-wave optics," IEEE Journal of Quantum Electronics, Vol. 9, No. 9, 919-933, Sep. 1973.

28. Huang, W.-P., "Coupled-mode theory for optical waveguides: An overview," J. Opt. Soc. Am. A, Vol. 11, No. 3, 963-983, Mar. 1994.

© Copyright 2010 EMW Publishing. All Rights Reserved