Finite-Element Method Simulations of Guided Wave Phenomena at Terahertz Frequencies

As the science and engineering associated with terahertz time-domain spectroscopy and imaging evolves past the use of conventional free-space optics, the continued development of waveguides for terahertz pulses is increasingly relevant. The ability to model and simulate terahertz wave propagation aids in the development, visualization, and understanding of novel terahertz devices and phenomena. We discuss the use of the finite-element method, a powerful computational tool for the modeling of guided wave phenomena and devices at terahertz frequencies.

[1]  Christian Vollaire,et al.  A survey of parallel solvers for the finite element method in computational electromagnetics , 2004 .

[2]  M. J. Fitch,et al.  Wideband terahertz spectroscopy of explosives , 2007 .

[3]  E. Yablonovitch,et al.  Inhibited spontaneous emission in solid-state physics and electronics. , 1987, Physical review letters.

[4]  X. Zhang,et al.  Free‐space electro‐optic sampling of terahertz beams , 1995 .

[5]  K. Cheung,et al.  Coherent time-domain far-infrared spectroscopy , 1985 .

[6]  Michael Nagel,et al.  Metallic slit waveguide for dispersion-free low-loss terahertz signal transmission , 2007 .

[7]  D. Mittleman,et al.  Chemical recognition of gases and gas mixtures with terahertz waves. , 1996, Optics letters.

[8]  P. Jepsen,et al.  Radiation patterns from lens-coupled terahertz antennas. , 1995, Optics letters.

[9]  Masahiro Goto,et al.  Teflon Photonic Crystal Fiber as Terahertz Waveguide , 2004 .

[10]  K. Kawase,et al.  Non-destructive terahertz imaging of illicit drugs using spectral fingerprints. , 2003, Optics express.

[11]  Yang,et al.  Long-range surface modes supported by thin films. , 1991, Physical review. B, Condensed matter.

[12]  D. Grischkowsky,et al.  Undistorted guided-wave propagation of subpicosecond terahertz pulses. , 2001, Optics letters.

[13]  S. Maier,et al.  Plasmonics: Localization and guiding of electromagnetic energy in metal/dielectric structures , 2005 .

[14]  Yu Zhu,et al.  Multigrid Finite Element Methods for Electromagnetic Field Modeling , 2006 .

[15]  Daniel R. Grischkowsky,et al.  Characterization of an optoelectronic terahertz beam system , 1990 .

[16]  F. Fernández,et al.  Review of finite element methods for microwave and optical waveguides , 1991, Proc. IEEE.

[17]  William B. Zimmerman,et al.  Multiphysics Modeling with Finite Element Methods , 2006 .

[18]  Olaf Schenk,et al.  Solving unsymmetric sparse systems of linear equations with PARDISO , 2002, Future Gener. Comput. Syst..

[19]  R. Mendis,et al.  THz interconnect with low-loss and low-group velocity dispersion , 2001, IEEE Microwave and Wireless Components Letters.

[20]  Carretera de Valencia,et al.  The finite element method in electromagnetics , 2000 .

[21]  E. Linfield,et al.  Terahertz Pulsed Imaging of Skin Cancer in the Time and Frequency Domain , 2003, Journal of biological physics.

[22]  John,et al.  Strong localization of photons in certain disordered dielectric superlattices. , 1987, Physical review letters.

[23]  I. Park,et al.  Terahertz pulse propagation in plastic photonic crystal fibers , 2002, 2002 IEEE MTT-S International Microwave Symposium Digest (Cat. No.02CH37278).

[24]  R. Fox,et al.  Classical Electrodynamics, 3rd ed. , 1999 .

[25]  X. Zhang,et al.  Pulsed terahertz tomography , 2004 .

[26]  Markus Walther,et al.  Emission and detection of terahertz pulses from a metal-tip antenna , 2005 .

[27]  D. Grischkowsky,et al.  Far-infrared time-domain spectroscopy with terahertz beams of dielectrics and semiconductors , 1990 .

[28]  O. Schenk,et al.  ON FAST FACTORIZATION PIVOTING METHODS FOR SPARSE SYMMETRI C INDEFINITE SYSTEMS , 2006 .

[29]  James G. Maloney,et al.  Optimization of bow-tie antennas for pulse radiation , 1994 .

[30]  Dale E. Gary,et al.  Terahertz study of 1,3,5-trinitro-s-triazine by time-domain and Fourier transform infrared spectroscopy , 2004 .

[31]  Jin-Fa Lee,et al.  Time-domain finite-element methods , 1997 .

[32]  Stefan A Maier,et al.  Terahertz surface plasmon-polariton propagation and focusing on periodically corrugated metal wires. , 2006, Physical review letters.

[33]  H. Kurz,et al.  Frequency-dependent characterization of THz Sommerfeld wave propagation on single-wires. , 2005, Optics express.

[34]  M. Stockman,et al.  Nanofocusing of optical energy in tapered plasmonic waveguides. , 2004, Physical review letters.

[35]  G. Goubau.  Surface Waves and Their Application to Transmission Lines , 1950 .

[36]  D. Mittleman,et al.  Photoconductive terahertz antenna with radial symmetry , 2005, 2005 Quantum Electronics and Laser Science Conference.

[37]  Daniel M. Mittleman,et al.  Metal wires for terahertz wave guiding , 2004, Nature.

[38]  M. R. Freeman,et al.  Metal-wire terahertz time-domain spectroscopy , 2005 .

[39]  Michael Nagel,et al.  Low-index discontinuity terahertz waveguides. , 2006, Optics express.

[40]  David Zimdars,et al.  Large area terahertz imaging and non-destructive evaluation applications , 2006 .

[41]  C. Liu,et al.  Generation of radially polarized terahertz pulses via velocity-mismatched optical rectification. , 2007, Optics letters.

[42]  M. Nuss,et al.  Subpicosecond photoconducting dipole antennas , 1988 .

[43]  Daniel M. Mittleman,et al.  Cross-polarized angular emission patterns from lens-coupled terahertz antennas , 2001 .

[44]  Nasser Qaddoumi,et al.  Near-Field Microwave Imaging Utilizing Tapered Rectangular Waveguides , 2004, IEEE Transactions on Instrumentation and Measurement.

[45]  Richard Barrett,et al.  Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods , 1994, Other Titles in Applied Mathematics.

[46]  Elmer Estacio,et al.  Low-loss single-mode terahertz waveguiding using Cytop , 2006 .

[47]  D. Mittleman,et al.  Characterization of guided resonances in photonic crystal slabs using terahertz time-domain spectroscopy , 2006 .

[48]  Ajay Nahata,et al.  Coupling of terahertz pulses onto a single metal wire waveguide using milled grooves. , 2005, Optics express.

[49]  Michael Pepper,et al.  Three-dimensional terahertz pulse imaging of dental tissue. , 2003, Journal of biomedical optics.

[50]  D. Mittleman,et al.  Noncontact semiconductor wafer characterization with the terahertz Hall effect , 1997 .

[51]  J. V. Rudd,et al.  Influence of substrate-lens design in terahertz time-domain spectroscopy , 2002 .

[52]  Xiang Zhang,et al.  Terahertz optical rectification from a nonlinear organic crystal , 1992 .

[53]  G. Pelosi,et al.  Finite-element methods in microwaves: a selected bibliography , 1996 .

[54]  William B. J. Zimmerman,et al.  Multiphysics Modeling With Finite Element Methods (Series on Stability, Vibration and Control of Systems, Serie) , 2006 .

[55]  The superprism effect in a metal-clad terahertz photonic crystal slab , 2007, 2007 Conference on Lasers and Electro-Optics (CLEO).

[56]  Jürgen Jahns,et al.  Azimuthally polarized surface plasmons as effective terahertz waveguides. , 2005, Optics express.

[57]  D. Mittleman,et al.  Out-of-plane dispersion and homogenization in photonic crystal slabs , 2005 .

[58]  Jianming Jin,et al.  A general approach for the stability analysis of the time-domain finite-element method for electromagnetic simulations , 2002 .

[59]  D. Rutledge,et al.  INTEGRATED-CIRCUIT ANTENNAS. , 1983 .

[60]  Igor Tsukerman,et al.  Traditional and new simulation techniques for nanoscale optics and photonics , 2005, SPIE Optics + Photonics.

[61]  R. Courant.  Variational methods for the solution of problems of equilibrium and vibrations , 1943 .

[62]  Dmitri K. Gramotnev,et al.  Adiabatic and nonadiabatic nanofocusing of plasmons by tapered gap plasmon waveguides , 2006 .

[63]  Kanglin Wang,et al.  Enhanced coupling of terahertz radiation to cylindrical wire waveguides. , 2006, Optics express.

[64]  Daniel R. Grischkowsky,et al.  Direct optoelectronic generation and detection of sub-ps-electrical pulses on sub-mm-coaxial transmission lines , 2004 .

[65]  D. Mittleman,et al.  Frequency-dependent radiation patterns emitted by THz plasmons on finite length cylindrical metal wires. , 2006, Optics Express.

[66]  P. Taday,et al.  Detection and identification of explosives using terahertz pulsed spectroscopic imaging , 2005 .

[67]  Olaf Schenk,et al.  Solving unsymmetric sparse systems of linear equations with PARDISO , 2004, Future Gener. Comput. Syst..

[68]  D. Grischkowsky,et al.  THz Sommerfeld wave propagation on a single metal wire , 2005 .

[69]  D. Mittleman.  Sensing with terahertz radiation , 2003 .

[70]  Daniel M. Mittleman,et al.  Guided propagation of terahertz pulses on metal wires , 2005 .

[71]  D. A. Dunnett.  Classical Electrodynamics , 2020, Nature.