Assessment Of Time And Frequency Domain Finite Element Algorithms For Optical Junctions

Recently reported time and frequency domain numerical approaches based on the finite element method have proved to be powerful tools for the analysis of arbitrary shaped planar optical junctions. Through the analysis of key abrupt planar junctions, the performance of both approaches are compared and their corresponding advantages and disadvantages are pointed out.465468Chan, R.Y., Liu, J.M., Time-domain wave propagation in optical structures (1994) IEEE Photonics Technology Letters, 6 (8), pp. 1001-1003. , AugustLiu, P.L., Zhao, Q., Choa, F.S., Slow-wave finite-difference beam propagation method (1995) IEEE Photonics Technology Letters, 7 (8), pp. 890-892. , AugustKoshiba, M., Tsuji, Y., Hikari, M., Time-domain beam propagation method and its application to photonic crystal circuits (2000) IEEE Journal of Lightwave and Technology, 18 (8), pp. 102-110. , JanJin, G.H., Harari, J., Vilcot, J.P., Decoster, D., An improved time domain beam propagation method for integrated optics components (1997) IEEE Photonics Technology Letters, 9 (3), pp. 348-350. , MarchHuang, W.P., Chu, S.T., Goss, A., Chaudhuri, S.K., A scalar finite-difference time-domain approach to guided-wave optics (1991) IEEE Photonics Technology Letters, 3 (6), pp. 524-526. , JuneLynch, D.R., Paulsen, K.D., Time-domain integration of the Maxwell equations on finite elements (1990) IEEE Transactions on Antennas and Propagation, 38 (12), pp. 1933-1942. , DecemberRodríguez-Esquerre, V.F., Hernández-Figueroa, H.E., Novel time-domain step-by-step scheme for integrated optical applications (2001) IEEE Photonics Technology Letter, 13 (4), pp. 311-313. , AprilKoshiba, M., (1992) Optical Waveguide Theory by the Finite Element Method, , KTK Scientific Publisher-Tokyo/Kluwer Academic PublisherKoshiba, M., Hirayama, K., Application of the finite-element method to arbitrarily shaped discontinuities in a dielectric slab waveguides (1988) IEE Proceedings, 135 (1 PART H), pp. 8-12Yoneta, S., Koshiba, M., Tsuji, Y., Combination of the beam propagation methods and the finite element method for the optical beam propagation analysis (1999) J. of Lightwave Technol., 17 (11), pp. 2398-2403. , NovDavanço, M.I., Rubio-Mercedes, C.E., Hernández-Figueroa, H.E., Novel boundary condition for the finite-element solution of arbitrary planar junctions (2001) IEEE Photonics Technology Letters, 13 (1), pp. 46-48. , JanuaryJin, J., (1993) The Finite Element in Electromagnetics, , John WileyHadley, G.R., Wide-angle beam propagation using Padé approximation operator (1992) Opt. Lett., 17 (20), pp. 1426-1428. , OctHernández-Figueroa, H.E., Simple nonparaxial beam propagation scheme for integrated optics (1994) IEEE Journal of Lightwave and Technology, 12 (4), pp. 644-649. , AprilPekel, U., Mittra, R., A finite-element-method frequency-domain application of the perfectly matched layer (PML) concept (1995) Microwave Opt. Technol. Lett., 9 (3), pp. 117-122Manolatou, C., Johnson, S.G., Fan, S., Villeneuve, P.R., Haus, H.A., Joannopoulos, J.D., High-density integrated optics (1999) J. of Lightwave Technol., 17 (9), pp. 1682-1692. , Se