Numerical simulation of electron energy loss spectroscopy using a generalized multipole technique

Ultramicroscopy

Volumn 133, Issue , 2013, Pages 101-108

  Kiewidt, Lars ^a   Karamehmedović, Mirza ^a   Matyssek, Christian ^c   Hergert, Wolfram ^d   Mädler, Lutz ^a,b   Wriedt, Thomas ^b  

^a UNIVERSITY OF BREMEN   (Germany)

^b STIFTUNG INSTITUT FÜR WERKSTOFFTECHNIK   (Germany)

^c HUMBOLDT UNIVERSITY   (Germany)

^d MARTIN LUTHER UNIVERSITY HALLE WITTENBERG   (Germany)

Author keywords

Characterization; Computational modeling; Electron Energy Loss Spectroscopy; Generalized Multipole Technique; Nanoparticles; Nanoplasmonics

Indexed keywords

ANALYTICAL AND NUMERICAL METHODS; ANALYTICAL AND NUMERICAL SOLUTIONS; COMPUTATIONAL MODEL; ELECTROMAGNETIC MODELING; ELECTRON ENERGY LOSS SPECTRUM; GENERALIZED-MULTIPOLE TECHNIQUES; GEOMETRIC CONFIGURATIONS; NANOPLASMONICS;

CHARACTERIZATION; ELECTRON ENERGY LOSS SPECTROSCOPY; ELECTRON SCATTERING; ENERGY DISSIPATION;

NANOPARTICLES;

ALUMINUM; NANOPARTICLE; PHOSMET;

ACCURACY; ANALYTIC METHOD; ARTICLE; COMPUTER ANALYSIS; CONTROLLED STUDY; ELECTROMAGNETIC MODEL; ELECTRON BEAM; ELECTRON ENERGY LOSS SPECTROSCOPY; GENERALIZED MULTIPOLE TECHNIQUE; MODEL; PARTICLE SIZE; PLANE WAVE SCATTERING; PREDICTION; SIMULATION; VALIDATION STUDY;

CHARACTERIZATION; COMPUTATIONAL MODELING; ELECTRON ENERGY LOSS SPECTROSCOPY; GENERALIZED MULTIPOLE TECHNIQUE; NANOPARTICLES; NANOPLASMONICS;

ELECTRONS; MODELS, THEORETICAL; NANOPARTICLES; SPECTROSCOPY, ELECTRON ENERGY-LOSS;

EID: 84882744240     PISSN: 03043991     EISSN: 18792723     Source Type: Journal    
DOI: 10.1016/j.ultramic.2013.07.001     Document Type: Article

References (67)

1. Ruthermann G. Diskrete Energieverluste mittelschneller Elektronen beim Durchgang durch dünne Folien. Annals of Physics 1948, 2:113-134.
2. Watanabe H. Experimental evidence for the collective nature of the characteristic energy loss of electrons in solids - studies on the dispersion relation of plasma frequency. Journal of the Physical Society of Japan 1956, 11:112-119.
3. Ritchie R.H. Plasma losses by fast electrons in thin films. Physical Review 1957, 106:874-881.
4. Powell C.J., Swan J.B. Origin of the characteristic electron energy losses in aluminum. Physical Review 1959, 115:869-875.
5. Chen C.H., Silcox J. Surface guided modes in an aluminum oxide thin film. Solid State Communications 1975, 17:273-275.
6. Raether H. Excitation of Plasmons and Interband Transitions by Electrons, of series Springer Tracks in Modern Physics 1980, Springer-Verlag, Berlin, vol. 88.
7. Erni R., Lazar S., Browning N.D. Prospects for analyzing the electronic properties in nanoscale systems by VEELS. Ultramicroscopy 2008, 108:270-276.
8. Egerton R.F. Electron energy-loss spectroscopy in the TEM. Reports on Progress in Physics 2009, 72:016502. (25 pages).
9. Egerton R.F. Electron Energy-Loss Spectroscopy in Electron Microscopy 2011, Springer, New York, NY. 3rd edition.
10. Brydson R. Electron Energy Loss Spectroscopy 2001, Garland Science/Bios Scientific Publications, New York, NY.
11. Brown L.M. Scanning transmission electron microscopy. microanalysis for the microelectronic age. Journal of Physics F: Metal Physics 1981, 11:1-26.
12. Browning N., Wallis D., Nellist P., Pennycook S. EELS in the STEM. determination of materials properties on the atomic scale. Micron 1997, 28:333-348.
13. Erni R., Browning N.D. Valence electron energy-loss spectroscopy in monochromated scanning transmission electron microscopy. Ultramicroscopy 2005, 104:176-192.
14. West P.R., Ishii S., Naik G.V., Emani N.K., Shalaev V.M., Boltasseva A. Searching for better plasmonic materials. Laser & Photonics Reviews 2010, 4:795-808.
15. García de Abajo F.J. Optical excitations in electron microscopy. Reviews of Modern Physics 2010, 82:209-275.
16. Egerton R. Limits to the spatial, energy and momentum resolution of electron energy-loss spectroscopy. Ultramicroscopy 2007, 107:575-586.
17. Nicoletti O., Wubs M., Mortensen N., Sigle W., van Aken P., Midgley P. Surface plasmon modes of a single silver nanorod. an electron energy loss study. Optics Express 2011, 19:15371-15379.
18. Ludwig A. The generalized multipole technique. Computer Physics Communications 1991, 68:306-314.
19. C. Hafner, Beiträge zur Berechnung der Ausbreitung elektromagnetischer Wellen in zylindrischen Strukturen mit Hilfe des 'Point-Matching-Verfahrens', Ph.D. Dissertation, Department of Information Technology and Electrical Engineering, ETH Zürich, Zürich, CHE, 1980.
20. Iskander M.F., Lakhtakia A., Durney C.H. A new iterative procedure to solve for scattering and absorption by dielectric objects. Proceedings of the IEEE 1982, 70:1361-1362.
21. Leviatan Y., Li P.G., Adams A.T., Perini J. Single-post inductive obstacle in rectangular waveguide. IEEE Transactions on Microwave Theory and Techniques 1983, 31:806-811.
22. Nishimura M., Takamatsu S., Shigesawa H. A numerical analysis of electromagnetic scattering of perfect conducting cylinders by means of discrete singularity method improved by optimization process. Electronics and Communications in Japan Part I 1984, 67:75-81.
23. Ludwig A.C. A comparison of spherical wave boundary value matching versus integral equation scattering solutions for a perfectly conducting body. IEEE Transactions on Antennas and Propagation 1986, 34:857.
24. Generalized Multipole Techniques for Electromagnetic and Light Scattering 1999, Elsevier, Amsterdam, NLD. T. Wriedt (Ed.).
25. Hafner C. The Generalized Multipole Technique for Computational Electromagnetics 1990, Artech House, Boston, MA.
26. Hafner C., Bomholt L. The 3D Electromagnetic Wave Simulator 1993, Wiley, Chichester, UK.
27. Leidenberger P., Schönle P., Hafner C. Simulations of a dielectric slot tip for scanning near-field microwave microscope. Journal of Computational and Theoretical Nanoscience 2011, 8:1556-1563.
28. Piller N., Martin O. Extension of the generalized multipole technique to three-dimensional anisotropic scatterers. Optics Letters 1998, 23:579-581.
29. Mohsen Raeis Zadeh Bajestani S., Shahabadi M., Talebi N. Analysis of plasmon propagation along a chain of metal nanospheres using the generalized multipole technique. Journal of the Optical Society of America B 2011, 28:937-943.
30. Version 7.7.0 (R2008b) 2008, MATLAB, The MathWorks Inc., Natick, MA.
31. García de Abajo F.J., Aizpurura J. Numerical simulation of electron energy loss near inhomogeneous dielectrics. Physical Review B: Condensed Matter and Materials Physics 1997, 56:15873-15884.
32. Khoury C.G., Norton S.J., Vo-Dinh T. Plasmonics of 3-d nanoshell dimers using multipole expansion and Finite Element Method. ACS Nano 2009, 3:2776-2788.
33. Monk P. Finite Element Methods for Maxwell's Equations 2003, Oxford University Press, Oxford, UK. 1st edition.
34. Mie G. Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen. Annals of Physics 1908, 330:377-445.
35. Geuquet N., Henrard L. EELS and optical response of a noble metal nanoparticle in the frame of a discrete dipole approximation. Ultramicroscopy 2010, 110:175-180.
36. Draine B.T., Flatau P.J. Discrete-dipole approximation for scattering calculations. Journal of the Optical Society of America A 1994, 11:1491-1499.
37. B.T. Draine, P.J. Flatau, User guide for the discrete dipole approximation code DDSCAT 6.1, (Available: , 2012. http://arxiv.org/abs/1202.3424.
38. Matyssek C., Niegemann J., Hergert W., Busch K. Computing electron energy loss spectra with the Discontinuous Galerkin Time-Domain method. Photonics and Nanostructures: Fundamentals and Applications 2011, 9:367-373.
39. Matyssek C., Schmidt V., Hergert W., Wriedt T. The T-Matrix method in electron energy loss and cathodoluminescence spectroscopy calculations for metallic nano-particles. Ultramicroscopy 2012, 117:46-52.
40. Doicu A., Eremin Y.A., Wriedt T. Acoustic & Electromagnetic Scattering Analysis Using Discrete Sources 2000, Academic Press, London.
41. Wriedt T. Review of the null-field method with discrete sources. Journal of Quantitative Spectroscopy and Radiative Transfer 2007, 106:535-545.
42. Mohammadi Z., Vlack C.P.V., Hughes S., Bornemann J., Gordon R. Vortex Electron Energy Loss Spectroscopy for near-field mapping of magnetic plasmons. Optics Express 2012, 20:15024-15034.
43. Yee K.S. Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media. IEEE Transactions on Antennas and Propagation 1966, 14:302-307.
44. U. Koch, J. Niegemann, C. Hafner, MMP simulation of electron energy loss spectroscopy applied to plasmonic particles, in: 9th Workshop on Numerical Methods for Optical Nano Structures, ETHZürich, July 1-3, 2013.
45. Karamehmedović M., Schuh R., Schmidt V., Wriedt T., Matyssek C., Hergert W., Stalmashonak A., Seifert G., Stranik O. Comparison of numerical methods in near-field computation of metallic nanoparticles. Optics Express 2011, 19:8939-8953.
46. Doicu A., Wriedt T. Near-field computation using the null-field method. Journal of Quantitative Spectroscopy and Radiative Transfer 2010, 111:466-473.
47. Forestiere C., Iadarola G., Negro L.D., Miano G. Near-field calculation based on the T-matrix method with discrete sources. Journal of Quantitative Spectroscopy and Radiative Transfer 2011, 112:2384-2394.
48. Drude P. Zur Elektronentheorie der Metalle. Annalen der Physik 1900, 306:566-613.
49. Drude P. Zur Elektronentheorie der Metalle; II. Teil. Galvanomagnetische und thermomagnetische Effecte. Annalen der Physik 1900, 308:369-402.
50. Dressel M., Grüner G. Electrodynamics of Solids. Optical Properties of Electrons in Matter 2002, Cambridge University Press, Cambridge, UK.
51. Felsen L.B. Radiation and Scattering of Waves 1973, Prentice-Hall, Englewood Cliffs, NJ.
52. L. Kiewidt, Numerical Inversion of EELS Data for the Estimation of Quantum Spectra of Nanoparticles, M.Sc. Thesis, Department of Production Engineering, University of Bremen, Bremen, GER, 2012.
53. García de Abajo F.J., Kociak M. Electron energy-gain spectroscopy. New Journal of Physics 2008, 10:073035.
54. Nédélec J.C. Acoustic and Electromagnetic Equations. Integral Representations for Harmonic Problems 2001, Springer, New York, NY.
55. Kahnert F. Numerical methods in electromagnetic scattering theory. Journal of Quantitative Spectroscopy and Radiative Transfer 2003, 79-80:775-824.
56. Karamehmedović M., Hansen P.-E., Dirscherl K., Karamehmedović E., Wriedt T. Profile estimation for Pt submicron wire on rough Si substrate from experimental data. Optics Express 2012, 20:21678-21686.
57. S. Prahl, Mie scattering calculator [Online] Available: 〈〉, August 9 2012. http://www.omlc.ogi.edu/calc/mie_calc.html.
58. Wriedt T. Using the T-matrix method for light scattering computations by non-axisymmetric particles. superellipsoids and realistically shaped particles. Particle & Particle System Characterization 2002, 19:256-268.
59. García de Abajo F.J., Howie A. Relativistic electron energy loss and electron-induced photon emission in inhomogeneous dielectrics. Physical Review Letters 1998, 80:5180-5183.
60. García de Abajo F.J. Relativistic energy loss and induced photon emission in the interaction of a dielectric sphere with an external electron beam. Physical Review B: Condensed Matter and Materials Physics 1999, 59:3095-3107.
61. F.J. García de Abajo, Electron energy loss and cathodoluminescence in spheres [Online] Available: 〈〉, 13 September 2012. http://www.nanophotonics.csic.es/static/widgets/sphere/index.html.
62. Johnson P.B., Christy R.W. Optical constants of noble metals. Physical Review B: Condensed Matter and Materials Physics 1972, 6:4370-4379.
63. Rakić A.D. Algorithm for the determination of intrinsic optical constants of metal films: application to aluminum. Applied Optics 1995, 34:4755-4767.
64. Handbook of Optical Constants of Solids 1998, Academic Press, San Diego, CA. E.D. Palik (Ed.).
65. Shampine L.F. Vectorized adaptive quadrature in MATLAB. Journal of Computational and Applied Mathematics 2008, 211:131-140.
66. Moreno E., Erni D., Vahldieck C.H.H. Multiple multipole method with automatic multipole setting applied to the simulation of surface plasmons in metallic nanostructures. Journal of the Optical Society of America A 2002, 19:101-111.
67. Gopinath A., Boriskina S.V., Reinhard B.M., Negro L.D. Deterministic aperiodic arrays of metal nanoparticles for surface-enhanced Raman scattering (SERS). Optics Express 2009, 17:3741-3753.