Space mapping technique for design optimization of antireflection coatings in photonic devices

Space-mapping (SM) technique is applied for design optimization of antireflection (AR) coatings for photonic devices such as the semiconductor optical amplifiers (SOA). The approximate and efficient transfer matrix method (TMM) serves as the coarse model for design optimization, whereas the time-intensive and accurate finite-difference time-domain (FDTD) method is used as the fine model for model calibration. A mapping is established between the parameter spaces of the coarse and the fine models so that the fine model design becomes the inverse mapping of the optimized coarse model design. Remarkable performance of the SM technique in terms of efficiency and accuracy in the design optimization is demonstrated by way of examples. It is shown that, in the context of multilayer coating design, the desired broadband ultralow reflectivities can be obtained within three fine model (FDTD) calculations.

[1]  S. H. Chen,et al.  Electromagnetic optimization exploiting aggressive space mapping , 1995 .

[2]  J.W. Bandler,et al.  A trust region aggressive space mapping algorithm for EM optimization , 1998, 1998 IEEE MTT-S International Microwave Symposium Digest (Cat. No.98CH36192).

[3]  S. Chu,et al.  A semivectorial finite-difference time-domain method (optical guided structure simulation) , 1991, IEEE Photonics Technology Letters.

[4]  Axial-mode instability in tunable external-cavity semiconductor lasers , 1994 .

[5]  Alfred Thelen,et al.  Design of optical interference coatings , 1989 .

[6]  C. G. Broyden.  A Class of Methods for Solving Nonlinear Simultaneous Equations , 1965 .

[7]  Trevor M. Benson,et al.  Full vector analysis of two-dimensional angled and coated optical waveguide facets , 1997 .

[8]  Takaaki Mukai,et al.  Theoretical analysis and fabrication of antireflection coatings on laser-diode facets , 1985 .

[9]  R. Jungerman,et al.  Broadband multilayer antireflection coating for semiconductor laser facets. , 1995, Optics letters.

[10]  John W. Bandler,et al.  Space mapping technique for electromagnetic optimization , 1994 .

[11]  Cun-Zheng Ning,et al.  Dynamic instabilities in master oscillator power amplifier semiconductor lasers , 1998 .

[12]  Takeshi Kamiya,et al.  Novel design procedure of broad-band multilayer antireflection coatings for optical and optoelectronic devices , 1998 .

[13]  C.L. Xu,et al.  The perfectly matched layer boundary condition for scalar finite-difference time-domain method , 2001, IEEE Photonics Technology Letters.

[14]  M. O'Mahony.  Semiconductor laser optical amplifiers for use in future fiber systems , 1988 .

[15]  J. Yamauchi,et al.  Analysis of antireflection coatings using the FD-TD method with the PML absorbing boundary condition , 1996, IEEE Photonics Technology Letters.