Fast computation of the conical response of subwavelength metallic structures using the B-spline modal method

The B-spline modal method is adapted for the design and analysis of nanostructured devices in conical mounting. The eigenmodes in each layer are calculated for two specific polarization states, and then combined for the calculation of the scattering matrices. We take advantage of the sparsity of the generated matrices to decrease the computation time, and adress the need for fast computation in complex systems. Moreover, we demonstrate the physical interest of computing the conical response on various classical structures.

[1]  Chao Yang,et al.  ARPACK users' guide - solution of large-scale eigenvalue problems with implicitly restarted Arnoldi methods , 1998, Software, environments, tools.

[2]  Jean-Luc Pelouard,et al.  Wideband omnidirectional infrared absorber with a patchwork of plasmonic nanoantennas. , 2012, Optics letters.

[3]  Jari Turunen,et al.  Eigenmode method for electromagnetic synthesis of diffractive elements with three-dimensional profiles , 1994 .

[4]  T. Gaylord,et al.  Formulation for stable and efficient implementation of the rigorous coupled-wave analysis of binary gratings , 1995 .

[5]  Jean-Luc Pelouard,et al.  Fast modal method for subwavelength gratings based on B-spline formulation. , 2010, Journal of the Optical Society of America. A, Optics, image science, and vision.

[6]  F. García-Vidal,et al.  Transmission Resonances on Metallic Gratings with Very Narrow Slits , 1999, cond-mat/9904365.

[7]  Ricardo A Depine,et al.  Transmission resonances of metallic compound gratings with subwavelength slits. , 2005, Physical review letters.

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

[9]  Jean-Luc Pelouard,et al.  Large-area dielectric and metallic freestanding gratings for midinfrared optical filtering applications , 2008 .

[10]  Gérard Granet,et al.  Modal analysis of lamellar gratings using the moment method with subsectional basis and adaptive spatial resolution. , 2010, Journal of the Optical Society of America. A, Optics, image science, and vision.

[11]  Lifeng Li,et al.  Convergence of the coupled-wave method for metallic lamellar diffraction gratings , 1993 .

[12]  Jean-Luc Pelouard,et al.  Nearly perfect Fano transmission resonances through nanoslits drilled in a metallic membrane. , 2010, Physical review letters.

[13]  E. Palik.  Handbook of Optical Constants of Solids , 1997 .

[14]  Jean-Luc Pelouard,et al.  Light funneling mechanism explained by magnetoelectric interference. , 2010, Physical review letters.

[15]  Y. Saad.  Variations on Arnoldi's method for computing eigenelements of large unsymmetric matrices , 1980 .

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

[17]  Jean-Luc Pelouard,et al.  Reduced scattering-matrix algorithm for high-density plasmonic structures. , 2010, Optics letters.

[18]  Zongfu Yu,et al.  Deep-subwavelength focusing and steering of light in an aperiodic metallic waveguide array , 2009, OPTO.

[19]  Christophe Dupuis,et al.  Total funneling of light in high aspect ratio plasmonic nanoresonators , 2011 .

[20]  Kurt Busch,et al.  A B‐Spline Modal Method in Comparison to the Fourier Modal Method , 2011 .