Beam propagation method

Sun, H. Dalton, L. Chen, A., Systematic design and simulation of polymer microring resonators with the combination of beam propagation method and matrix model, In Digest of the IEEE LEOS Summer Topical Meetings, 2007, 217 218... 

R. Pregla, MoL-BPM Method of Lines Based Beam Propagation Method, in W. P. Huang (Ed.), Methods for Modeling and Simulation of Guided-Wave Optoelectronic Devices, Progress in Electromagnetic Research 11 (Elsevier, New York, 1995). 

L. Thylen, and C. M. Lee, Beam propagation method based on matrix diagonalisation, Jowrna/ of the Optical Society of America A 9, 142-146 (1992). 

H. Hoekstra, On beam propagation methods for modelling in integrated optics, Optical and Quantum Electronics 29, 157-171 (1997). 

T. Fujisawa, and M. Koshiba, Full-vector finite-element beam propagation method for three-dimensional nonlinear optical waveguides. Journal of Lightwave Technology 19, 1876-1884 (2002). 

P. Kaczmarski, and P. Lagasse, Bidirectional beam propagation method, Electronics Letters lA, 675-676 (1988). 

K. Hayashi, M. Koshiba, Y. Tsuji, S. Yoneta and R. Kaji, Combination of beam propagation method and mode expansion propagation method for bidirectional optical beam propagation analysis. Journal of Lightwave Technology 16, 2040-2045 (1998). 

H. Rao, M. J. Steel, R. Scarmozzino and R. M. Osgood, Jr., Complex propagators for evanescent waves in bidirectional beam propagation method. Journal of Lightwave Technology 18, 1155-1160 (2000). 

Koshiba M, Tsuji Y, Hikari M. 2000. Time domain beam propagation method and its application to photonic crystal circuits. J Lightwave Technol 18 102 110. 

Previous results were used for computer simulation of optical properties of the fabricated structures. By substitution to the RSoft software of measured polymer refractive index and the structure surface profile the inside and output optical field distribution were calculated using beam propagation method. The calculated output optical field is given in Fig 20C. In addition, calculation proved that the effective refractive index for fundamental mode is approximately 1.6276 at 632.8 ran. The prepared multimode structure supported 30 modes at wavelength 632.8 ran. 

FIGURE 10 Intensity profile calculated by the beam propagation method for the parabolic horn with l/l/=40ju,m and = 800/im. Inset shows the schematic configuration of parabolic waveguide horn. 

Chung Y, Dagli N (1990) An assessment of finite difference beam propagation method. IEEE J Quantum Electron 26(8) 1335-1339... 

Extensive treatment of optical waveguide and directional coupler theory has been addressed by many researchers for both continuous two-dimensional film waveguides and dielectric strip waveguides. Various methods, such as dielectric waveguide, coupled-mode theory, effective index, the beam propagation method, and finite-element analysis, have been used [15,24,25,75,77,78,83,89-114]. Analysis of these methods shows good agreement between all of the different models. 

In 1976 Fleck et al. [92] proposed a beam propagation method (BPM) for computing fields of an optical beam passing through a medium. The method calculates the characteristics of an input beam as it propagates through a medium over a small distance y and then corrects for the variations of the refractive index as seen by the beam over this distance y. It has already been applied to several optical fiber and integrated optic applications [93-99, 106, 112, 113]. 

The beam propagation method is derived for a scalar field. The theory is restricted to small changes in the refractive index. The first part of the derivation assumes the propagation of a high-frequency beam through an inhomogeneous medium. It begins with the wave equation [98]... 

Neyer, A., Mevenkamp, W., Thylen, L., and Lagerstrom, B., A beam propagation method analysis of active and passive waveguide crossings, J. Lightwave Technol., LT-3, 635 (1985). 

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