FDTD for Nanoscale and Optical Problems

In this article, we have demonstrated that many representative problems of optical technologies can be accurately and effectively solved with the commercially available FDTD software, provided that such software offers the flexibility applying partial analytical knowledge to the problems. This is the case with scalar 2-D or guided 2-D FDTD algorithms relevant to the analysis of PhCs or microstructured optical fibers, as well as periodic FDTD method applicable in the scatterometry of ICs. We have also demonstrated an effective approach of hybridizing the FDTD and scalar Fresnel approaches for accurate and effective modeling of lens imaging phenomena. We believe that further developments along these lines using FDTD methods, supported by the concurrent developments in computer technology, will lead to hybrid time-domain software tools becoming a breakthrough in optics and photonics.

[1]  Allen Taflove,et al.  Computational Electrodynamics the Finite-Difference Time-Domain Method , 1995 .

[2]  Vladimir Levinski,et al.  Differential signal scatterometry overlay metrology: an accuracy investigation , 2007, SPIE Optical Metrology.

[3]  Sailing He,et al.  Proposal for an Ultracompact Polarization-Beam Splitter Based on a Photonic-Crystal-Assisted Multimode Interference Coupler , 2007, IEEE Photonics Technology Letters.

[4]  M. Celuch-Marcysiak,et al.  Spatially looped algorithms for time-domain analysis of periodic structures , 1995 .

[5]  E. H. Linfoot Principles of Optics , 1961 .

[6]  M. Celuch,et al.  Industrial design of axisymmetrical devices using a customized FDTD solver from RF to optical frequency bands [Application Notes] , 2008, IEEE Microwave Magazine.

[7]  M. Celuch-Marcysiak,et al.  Wide-band S-parameter extraction from FD-TD simulations for propagating and evanescent modes in inhomogeneous guides , 2003 .

[8]  Jin Au Kong,et al.  A Finite-Difference Time-Domain Analysis of Wave Scattering from Periodic Surfaces: Oblique Incidence Case , 1993 .

[9]  M. Sypniewski,et al.  Linear and superlinear speedup in parallel FDTD processing , 2007, 2007 IEEE Antennas and Propagation Society International Symposium.

[10]  S. S. Stuchly,et al.  A Solution of Electromagnetic Imaging Using Pseudoinverse Transformation , 1984, IEEE Transactions on Medical Imaging.

[11]  Y. Rahmat-Samii,et al.  Spectral FDTD: a novel technique for the analysis of oblique incident plane wave on periodic structures , 2006, IEEE Transactions on Antennas and Propagation.

[12]  J. Joannopoulos,et al.  High Transmission through Sharp Bends in Photonic Crystal Waveguides. , 1996, Physical review letters.

[13]  Fahrettin Levent Degertekin,et al.  Rigorous coupled-wave analysis for multilayered grating structures , 2003, SPIE OPTO.

[14]  C. Sarris,et al.  Efficient Finite-Difference Time-Domain Modeling of Driven Periodic Structures and Related Microwave Circuit Applications , 2008, IEEE Transactions on Microwave Theory and Techniques.

[15]  Wojciech Gwarek,et al.  Application of the FD-TD method to the analysis of circuits described by the two-dimensional vector wave equation , 1993 .

[16]  Shanhui Fan,et al.  THEORETICAL ANALYSIS OF CHANNEL DROP TUNNELING PROCESSES , 1999 .

[17]  K. K. Mei,et al.  Superabsorption-a method to improve absorbing boundary conditions (electromagnetic waves) , 1992 .

[18]  M. Cryan,et al.  Fast-Light Based Pulse Compression in 2-D Photonic Crystal Waveguides , 2007, Journal of Lightwave Technology.

[19]  Wei-Ping Huang,et al.  Design of photonic crystal fibers for dispersion-related applications , 2003 .

[20]  Characterization of a subwavelength-scale 3D void structure using the FDTD-based confocal laser scanning microscopic image mapping technique. , 2007, Optics express.

[21]  Chin-Ping Yu,et al.  Compact finite-difference frequency-domain method for the analysis of two-dimensional photonic crystals. , 2004, Optics express.

[22]  Zhaoming Zhu,et al.  Full-vectorial finite-difference analysis of microstructured optical fibers. , 2002, Optics express.

[23]  P N Scharbach,et al.  A Dynamical Theory of the Electromagnetic Field , 1983 .

[24]  J. Goodman Introduction to Fourier optics , 1969 .

[25]  Steven G. Johnson,et al.  Photonic Crystals: Molding the Flow of Light , 1995 .

[26]  G. Eleftheriades,et al.  Triangular-Mesh-Based FDTD Analysis of Two-Dimensional Plasmonic Structures Supporting Backward Waves at Optical Frequencies , 2007, Journal of Lightwave Technology.

[27]  Sailing He,et al.  A plane-wave expansion method based on the effective medium theory for calculating the band structure of a two-dimensional photonic crystal , 2003 .

[28]  D. Wilton,et al.  ASM–FDTD: A Technique for Calculating the Field of a Finite Source in the Presence of an Infinite Periodic Artificial Material , 2007, IEEE Microwave and Wireless Components Letters.

[29]  R. Mittra,et al.  Implementation of Floquet boundary condition in FDTD for FSS analysis , 1993, Proceedings of IEEE Antennas and Propagation Society International Symposium.

[30]  G. Eleftheriades,et al.  Periodic FDTD analysis of leaky-wave structures and applications to the analysis of negative-refractive-index leaky-wave antennas , 2006, IEEE Transactions on Microwave Theory and Techniques.

[31]  W. K. Gwarek,et al.  Analysis of an Arbitrarily-Shaped Planar Circuit a Time-Domain Approach , 1985 .

[32]  J.R. McNeil Scatterometry applied to microelectronics processing , 2000, 2000 Digest of the LEOS Summer Topical Meetings. Electronic-Enhanced Optics. Optical Sensing in Semiconductor Manufacturing. Electro-Optics in Space. Broadband Optical Networks (Cat. No.00TH8497).

[33]  Charles A Dimarzio,et al.  Computational microscopy in embryo imaging. , 2004, Optics letters.

[34]  D. M. Atkin,et al.  All-silica single-mode optical fiber with photonic crystal cladding. , 1996, Optics letters.

[35]  Mingyi Gao,et al.  Properties of index-guided PCF with air-core , 2007 .

[36]  R. Collin Field theory of guided waves , 1960 .

[37]  A. Bjarklev,et al.  Silica-air photonic crystal fiber design that permits waveguiding by a true photonic bandgap effect. , 1999, Optics letters.

[38]  M. Celuch-Marcysiak,et al.  Effective time domain analysis of periodic structures , 1993, 1993 23rd European Microwave Conference.