Near-field optical response of a two-dimensional grating of gold nanoparticles M. Salerno, N. Fe ´ lidj, J. R. Krenn, A. Leitner, and F. R. Aussenegg Institute for Experimental Physics, Karl-Franzens-University Graz and Erwin Schro ¨dinger Institute for Nansoscale Research, Universita ¨tsplatz 5, A-8010 Graz, Austria J. C. Weeber Laboratoire de Physique, Optique Submicronique, Universite ´ de Bourgogne, Boite Postale 47870, F-21078 Dijon, France Received 1 August 2000; published 4 April 2001 This article reports on the near-field optical response of a small square grating of gold nanoparticles tailored by electron-beam lithography. The investigation of the grating is aimed at a deepened understanding of electromagnetic interaction among particles due to scattered light fields. Therefore, a photon scanning tunnel- ing microscope is applied to acquire near-field optical images. Two different incident wavelengths are used to characterize the intensity and the spatial localization of the electromagnetic near field both in and out of resonance for the excitation of particle plasmons. Furthermore, the near-field enhancement resulting from the plasmon excitation is evaluated. DOI: 10.1103/PhysRevB.63.165422 PACS numbers: 78.66.-w, 07.79.Fc, 42.25.Fx I. INTRODUCTION Nanoscale metal structures are well known to manifest strong local enhancement of the electromagnetic field with respect to the incident light, due to the excitation of coherent resonant electron plasma oscillations particle plasmons. 1 The resonance wavelength of this phenomenon depends on the geometry of the structure as well as on the dielectric functions of both the structure and the surrounding medium. 2 Since metal nanostructures are promising candidates for such nano-optical applications as controlling and guiding light fields on the submicrometer scale, 3–6 they are the subject of extensive fundamental research. In this context, specifically designed nanostructures obtained by electron-beam lithogra- phy EBLrepresent ideal samples for a fundamental sys- tematic investigation. EBL is a powerful tool for the fabrica- tion of highly reproducible nanostructures with a great variety of geometries and arrangement patterns. 7 In particu- lar, it allows matching of the particle plasmon frequencies to defined values. As for many practical applications large ensembles of nanoparticles are of interest, 8 , a better understanding of elec- tromagnetic coupling effects among nanoparticles is of great importance. Coupling can arise both from very short distance interactions on the order of some tens of nanometers, near- field couplingand from long range interactions dipolar far- field coupling 9 . Recently, direct observations of the near- field response of an isolated gold nanoparticle and of a one- dimensional 1Dchain of gold nanoparticles by means of near-field optical microscopy were reported. 10 It was shown that the individual particle gives rise to a rather broadly dis- tributed plasmon field, while a strong confinement of the field was observed above the particle chain due to plasmon near-field coupling. On the other hand, electromagnetic far- field coupling was found to be particularly strong among nanoparticles arranged in regular 2D particle gratings. 11 When the interparticle distance is increased for a given light wavelength, dipolar interaction between the particles in- creases dramatically whenever the light field corresponding to a particular grating order changes from evanescent to ra- diative in character. As a consequence, a strong dependence of the plasmon resonance wavelength and the plasmon life- time on the interparticle distance was reported. This phenom- enon was investigated by conventional far-field spectro- scopy. Since the physical origin of the observed effects is expected to be connected to the local electromagnetic fields acting on the individual nanoparticles, direct measurement of these local field intensities by near-field optical microscopy is a promising task. In this article we examine the optical near-field zone of regularly arranged gold nanoparticles by means of a photon scanning tunneling microscope 12 PSTMoperated in constant-height mode. Previous work has established that the PSTM is capable of measuring the near-field intensity distri- bution around nanoscale metal samples. 10,13–16 We investi- gate a small regular 2D grating consisting of 3 3 gold par- ticles with the interparticle distance grating constantfixed to 1 m. We chose this small grating for the investigation of the near-field zone of regularly arranged nanoparticles as it constitutes the transition case between the individual par- ticle and the infinitelyextended grating. II. EXPERIMENTAL AND THEORETICAL BACKGROUND Samples consisting of gold particles with a diameter of 100 nm and a height of 40 nm are produced by EBL per- formed on a modified scanning electron microscope SEM. As the substrate an indium tin oxide ITOdoped glass plate is used to provide the weak electric conductivity required for EBL and SEM in order to avoid charging effects. Further details on EBL are provided elsewhere. 7 After fabrication, a standard characterization of the samples is performed. The SEM is used to check overall quality of the samples, and shape and lateral size of the particles, while atomic force microscopy AFMallows a cross-check and measurement of the particle height. Optical extinction spectroscopy at nor- mal incidence is accomplished to find the resonance wave- lengths of the particle plasmons. As the overall size of PHYSICAL REVIEW B, VOLUME 63, 165422 0163-1829/2001/6316/1654226/$20.00 ©2001 The American Physical Society 63 165422-1