Dynamic behavior of electric field in the microrings in the presence of Kerr and two-photon absorption

This paper a simple semi-analytical model for calculation of the time evolution and spatial variation of the electric field in microring resonators in the presence of The Kerr effect and two-photon absorption (TPA) is presented. The theoretical analysis is based on the delayed feedback model, which is well known in microring theory. The model is applied to the Chalcogenide glass and AlGaAs microrings to study the Kerr and TPA effects on the spatial and temporal variation of electric field respectively across the microring. The effects of microring parameters and input signal shapes on the transient behavior are taken into consideration. It is shown that, the results are in good agreement with the full numerical method.

[1]  Brian S. Wherrett,et al.  Scaling rules for multiphoton interband absorption in semiconductors , 1984 .

[2]  M. Segev,et al.  Optical spatial solitons: historical perspectives , 2000, IEEE Journal of Selected Topics in Quantum Electronics.

[3]  Xia Ji,et al.  Discontinuous galerkin time domain (DGTD) methods for the study of 2-D waveguide-coupled microring resonators , 2005 .

[4]  Jun Yamasaki,et al.  Linear and nonlinear optical properties of Ag-As-Se chalcogenide glasses for all-optical switching. , 2004, Optics letters.

[5]  S Spälter,et al.  Large Kerr effect in bulk Se-based chalcogenide glasses. , 2000, Optics letters.

[6]  Patrice Féron,et al.  Combining FDTD with coupled mode theories for bistability in micro-ring resonators , 2005 .

[7]  W. S. Hobson,et al.  Nonlinear spectroscopy near half‐gap in bulk and quantum well GaAs/AlGaAs waveguides , 1992 .

[8]  Y. Kim,et al.  All-optical switching in a laterally coupled microring resonator by carrier injection , 2003, IEEE Photonics Technology Letters.

[9]  J. P. Sokoloff,et al.  A terahertz optical asymmetric demultiplexer (TOAD) , 1993, IEEE Photonics Technology Letters.

[10]  G I Stegeman,et al.  Two-photon absorption as a limitation to all-optical switching. , 1989, Optics letters.

[11]  S. Mallat A wavelet tour of signal processing , 1998 .

[12]  Steve Blair,et al.  Beyond the absorption-limited nonlinear phase shift with microring resonators. , 2002, Optics letters.

[13]  Amnon Yariv,et al.  Nonlinear dispersion in a coupled-resonator optical waveguide. , 2002, Optics letters.

[14]  B. Luther-Davies,et al.  Large phase shifts in As2S3 waveguides for all-optical processing devices. , 2005, Optics letters.

[15]  Vien Van,et al.  Propagation loss in single-mode GaAs-AlGaAs microring resonators: measurement and model , 2001 .

[16]  J E Heebner,et al.  Enhanced all-optical switching by use of a nonlinear fiber ring resonator. , 1999, Optics letters.

[17]  Vien Van,et al.  Optical signal processing using nonlinear semiconductor microring resonators , 2002 .

[18]  P.-T. Ho,et al.  Compact microring notch filters , 2000, IEEE Photonics Technology Letters.

[19]  F. Wise,et al.  Highly nonlinear As-S-Se glasses for all-optical switching. , 2002, Optics letters.

[21]  George I. Stegeman,et al.  Nonlinear absorption in a GaAs waveguide just above half the band gap , 1994 .

[22]  P.-T. Ho,et al.  All-optical nonlinear switching in GaAs-AlGaAs microring resonators , 2002, IEEE Photonics Technology Letters.

[23]  J. S. Aitchison,et al.  AlGaAs Below Half Bandgap:. the Silicon of Nonlinear Optical Materials , 1994 .