Reformulation of the eigenvalue problem in the Fourier modal method with spatial adaptive resolution.

The Fourier modal method equipped with the concept of adaptive spatial resolution (FMMASR) is shown to be naturally more stable than the classical Fourier modal method toward spurious modes that appear with metallic structures. It is demonstrated that this stability can be further improved by reformulating the eigenvalue problem of the FMMASR.

[1]  Tuomas Vallius,et al.  Reformulation of the Fourier modal method with adaptive spatial resolution: application to multilevel profiles. , 2002, Optics express.

[2]  P. Lalanne,et al.  Highly improved convergence of the coupled-wave method for TM polarization and conical mountings , 1996, Diffractive Optics and Micro-Optics.

[3]  Karl Knop,et al.  Rigorous diffraction theory for transmission phase gratings with deep rectangular grooves , 1978 .

[4]  Brahim Guizal,et al.  Efficient implementation of the coupled-wave method for metallic lamellar gratings in TM polarization , 1996 .

[5]  Gérard Granet,et al.  Reformulation of the lamellar grating problem through the concept of adaptive spatial resolution , 1999 .

[6]  Lifeng Li,et al.  Use of Fourier series in the analysis of discontinuous periodic structures , 1996 .

[7]  Nicolas Bonod,et al.  Differential theory: application to highly conducting gratings. , 2004, Journal of the Optical Society of America. A, Optics, image science, and vision.

[8]  Khashayar Mehrany,et al.  Study of the numerical artifacts in differential analysis of highly conducting gratings. , 2008, Optics letters.

[9]  Olivier Parriaux,et al.  Modal analysis and suppression of the Fourier modal method instabilities in highly conductive gratings. , 2007, Journal of the Optical Society of America. A, Optics, image science, and vision.

[10]  Lifeng Li.  Formulation and comparison of two recursive matrix algorithms for modeling layered diffraction gratings , 1996 .

[11]  S. E. Bisson,et al.  Continuous tuning of a continuous-wave periodically poled lithium niobate optical parametric oscillator by use of a fan-out grating design. , 1998, Optics letters.