Metallic nanoparticles display considerably different optical properties than those of their bulk counterparts. They have long been of interest in several novel applications, from colored glass production of medieval times to molecular-level sensors of today. Recently, there has been significant interest in characterization of such small particles via surface plasmons, for example for monitoring of the actual self-assembly purposes. For such characterization, we need scattering patterns by different type of particles and agglomerates on or near the surface. Here we present a methodology to predict the required scattering patterns of single particles and agglomerates on or near a surface subjected to surface plasmon waves. We investigate the effect of size, shape and orientation of gold nano particles on their scattering patterns both in the visible spectrum and at resonance wavelengths. The results show that the normalized scattering matrix elements (Mij) at certain observation angles and incident wavelengths provide significant information to monitor self-assembly process of gold nanoparticles on a gold substrate.

1.
McMurry PH, Naqwi AA, Proceedings of the Fifth International Congress on Particle Sizing, Minneapolis, MN, USA, 1998.
2.
Mischenko MI, Hovenier JW, Travis LD, Light Scattering by Non-spherical Particles: Theory, Measurements, and Applications, Academic Press, 2001.
3.
Waterman
PC
,
Symmetry, unitarity, and geometry in electromagnetic scattering
,
Phys Rev D
,
3
,
825
825
,
1971
.
4.
Peterson
B
,
Stro¨m
S
,
T matrix for electromagnetic scattering from an arbitrary number of scatterers and representations of E(3)
,
Phys Rev D
,
8
,
3661
3661
,
1973
.
5.
Lakhtakia
A
,
Varadan
VK
,
Varadan
V V.
,
Scattering and absorption characteristics of lossy dielectric, chiral, nonspherical objects
,
Applied Optics
,
24
,
4146
4146
,
1985
.
6.
Bruning
JH
,
Lo
YT
,
Multiple scattering of EM waves by spheres. I. Multipole expansion and ray-optical solutions
,
IEEE Trans Antennas Propag
,
19
,
378
378
,
1971
a.
7.
Tsang L, Kong JA, Scattering of electromagnetic waves: advanced topics, New York, John Wiley & Sons Inc, 2001.
8.
Varadan
VK
,
Bringi
VN
,
Varadan
VV
,
Coherent electromagnetic wave propagation through randomly distributed dielectric scatterers
,
Phys Rev D
,
19
,
2480
2480
,
1979
.
9.
Borghese
F
,
Denti
P
,
Saija
R
,
Toscano
G
,
Optical absorption coefficient of a dispersion of clusters composed of a large number of spheres
,
Aerosol Sci Technol
,
6
,
173
173
,
1987
b.
10.
Mackowski
DW
,
Calculation of total cross sections of multiple-sphere clusters
,
J Opt Soc Am A
,
11
,
2851
2851
,
1994
.
11.
Mackowski
DW
,
Mishchenko
MI
,
Calculation of the T matrix and the scattering matrix for ensembles of spheres
,
J Opt SocAm A
,
13
,
2266
2266
,
1996
.
12.
Gonzaleza
F
,
Videen
G
,
Valle
PJ
,
Saiz
JM
,
De la Pena
JL
,
Moreno
F
,
Light scattering computational Methods for particles on substrates
,
JQSRT
,
70
,
383
383
,
2001
.
13.
Thomas
Wriedt
,
Adrian
Doicu
,
Light scattering from a particle on or near a surface
,
Optics Communications
,
152
,
376
376
,
1998
.
14.
De la pena
JL
,
Gonzalez
F
,
Saiz
JM
,
Morenoa
F
,
Vallea
PJ
,
Sizing particles on substrates: A general method for oblique incidence
,
Journal of Applied Physics
,
85
,
432
432
,
1999
.
15.
Videen
G
,
Turner
MG
,
Iafelice
VJ
,
Bickel
WS.
,
Wolfe
LW
,
Scattering from a small sphere near a surface
,
J. Opt. Soc. Am. A
,
10
,
118
118
,
1993
.
16.
Videen
G
,
Aslan
MM
,
Mengu¨c¸
MP
,
Characterization of metallic nano-particles via surface wave scattering: A. Theoretical frame work and formulation
,
JQSRT
Sp. Iss,
93
,
195
195
,
2005
.
17.
Aslan
MM
,
Mengu¨c¸
MP
,
Videen
G
,
Characterization of metallic nano-particles via surface wave scattering: B. Physical concept and numerical experiments
,
JQSRT
Sp.Iss,
93
,
207
207
,
2005
.
18.
Bohren CF, Huffman DR, Absorption and Scattering by Small Particles, New York, John Wiley & Sons Inc, 1983.
19.
Feldheim DL, Foss CA, Metal nanoparticles: synthesis, characterization, and application, New York, Marcel Dekker Inc, 2002.
20.
Weaver JH, Frederikse HPR, Optical properties of metals and semi conductors, Boca Raton, Florida, CRC Press, 1978.
21.
Stein
S.
,
Addition theorems for spherical wave functions
,
Quart. Appl. Math.
,
19
,
15
15
,
1961
.
22.
Cruzan
OR.
,
Translational addition theorems for spherical vector wave functions
,
Quart. Appl. Math.
,
20
,
33
33
,
1962
.
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