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Modeling multivariate dependencies for manufacturing single-mode I/O structures of integrated MMI-based splitters in glass sheets

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Abstract

For the realization of integrated optical interconnect systems, optical waveguide components are needed. A promising approach to manufacturing graded-index waveguide components is their embedding in thin glass sheets by ion-exchange processes. Conventionally, the modeling of integrated waveguide components manufactured by thermal diffusion processes involves the numerical solution of differential equations. In this work, a semi-analytical approach for the modeling of the concentration profile is extended by the Gauss–Newton optimization algorithm. This is done with the specific purpose of accurately modeling single-mode input and output waveguide structures of multimode-interference-based (MMI-based) optical splitters. The constraints imposed by the multivariate manufacturing process for the realization of these MMI-based components are elaborated. Corresponding correlations between these constraints and the according modeling of the devices are established.

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References

  • Crank, J.: The Mathematics of Diffusion. Ser. Oxford Science Publications, Clarendon Press, Oxford (1979)

    MATH  Google Scholar 

  • Demmer, P., Modinger, R., Bauer, J., Ebling, F., Schröder, H., Beil, P., Albrecht, H., Beier, A., Pfeiffer, K., Franke, M., Griese, E., Reuber, M., Kostelnik, J.: New generation interconnection technology: printed circuit boards with integrated optical layers. In: Proceedings of the 2005 9th IEEE Workshop on Signal Propagation on Interconnects, Garmisch-Partenkirchen, Germany 2005, pp. 247–257 (2005)

  • Griese, E.: A high-performance hybrid electrical-optical interconnection technology for high-speed electronic systems. IEEE Trans. Adv. Packag. 24(3), 375–383 (2001)

    Article  Google Scholar 

  • Kühler, T., Griese, E.: Modeling the diffusion process for developing optical waveguides for PC-board integration, 1st ed., ser. In: Integration of Practice-Oriented Knowledge Technology: Trends and Prospectives. Springer, Berlin (2013)

    Chapter  Google Scholar 

  • Ramaswamy, R., Srivastava, R.: Ion-exchanged glass waveguides: a review. J. Lightw. Technol. 6(6), 984–1000 (1988)

    Article  ADS  Google Scholar 

  • Ramaswamy, R.V., Srivastava, R., Chludzinski, P., Anderson, T.J.: Influence of ag+-na+ ion-exchange equilibrium on waveguide index profiles. IEEE J. Quant. Electron. 24(5), 780–786 (1988)

    Article  ADS  Google Scholar 

  • Roth, J.-P., Kühler, T., Griese, E.: A performance comparison of integrated graded index y-branch and mmi-based optical splitters in thin glass sheets for pcb integration. In: 21st IEEE Workshop on Signal and Power Integrity (SPI) (2017)

  • Roth, J.-P., Kühler, T., Griese, E.: A comparison of higher-order graded-index mmi-based splitters in thin glass sheets for pcb integration. In: 22nd IEEE Workshop on Signal and Power Integrity (SPI), pp. 1–4 (2018a)

  • Roth, J.-P., Kühler, T., Griese, E.: Utilizing multimode interference effects in integrated graded-index optical waveguides for efficient power splitting. COMPEL Int. J. Comput. Math. Electr. Electron. Eng. 37(4), 1556–1563 (2018b). https://doi.org/10.1108/COMPEL-09-2017-0374

    Article  Google Scholar 

  • Roth, J.-P., Kühler, T., Griese, E.: Low loss optical mmi-based splitter based on a semi-analytical modeling approach. Opt Quant. Electron. (2018c). https://doi.org/10.1007/s11082-018-1348-9

    Article  Google Scholar 

  • Soldano, L.B.: Optical multimode interference devices based on self-imaging: principles and applications. J. Lightw. Technol. 13(4), 615–627 (1995)

    Article  ADS  Google Scholar 

  • Zhang, D.: Verfahren für die inverse Modellierung von Ionenaustauschprozessen für den Entwurf optischer Multimode-Wellenleiter in Dünnglasfolien. Shaker Verlag, Herzogenrath (2018)

    Google Scholar 

  • Zhang, D., Kühler, T., Griese, E.: An approach to optimize the diffusion process for graded index waveguides fabrication in thin glass sheets. In: Proceedings of the 2014 IEEE Photonics Conference (IPC), San Diego, 2014, pp. 213–215 (2014)

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  1. University of Siegen, Theoretical Electrical Engineering and Photonics, Hölderlinstraße 3, 57068, Siegen, Germany

    Jan-Philipp Roth, Thomas Kühler & Elmar Griese

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  1. Jan-Philipp Roth
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  2. Thomas Kühler
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  3. Elmar Griese
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Correspondence to Jan-Philipp Roth.

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Roth, JP., Kühler, T. & Griese, E. Modeling multivariate dependencies for manufacturing single-mode I/O structures of integrated MMI-based splitters in glass sheets. Opt Quant Electron 52, 15 (2020). https://doi.org/10.1007/s11082-019-2126-z

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