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202                                                      Chapter 5


             time of 7fs, and a double-peak resonance structure. The field enhancement
             was explained as caused by the excitation of the SP resonance by  the
             evanescent  field  of  the fiber aperture and subsequent radiation, by the
             particle, of propagating modes into the far field, much like an antenna. The


                                        Laser
                                        Laser
                                       Fiber er
                                       Fib
                                              Au- -
                                       Tip
                                       Tip    Au
                          A l-C oatin         N anoparticle
                          A l-C oating g
                                              N anoparticle
                                                    TiO Film
                                                    TiO Film
                                                        2 2
                                                    G lass Substrate te
                                                    G lass Substra
                                                   Photodiode e
                                                   Photodiod
             Figure 5-7.  Sketch  of setup  for measuring surface plasmon resonances in single metallic
             nanoparticles. The fiber tip has an aperture diameter of about 80 nm and positioned 7 nm
             away from the 200 nm thickTiO 2  film, which is supported by a 1 mm-thick glass substrate.
             (After [217].)
             double-peak feature was explained as denoting the electromagnetic coupling
             of two close-lying particles.



             5.3.2.4  SP Coupling of Metallic Nanoparticles

               The properties of SP coupling between close-lying metallic nanoparticles
             were studied by Krenn et al. [219] and Kottmann and Martin [220]. Krenn et
             al. [219] utilized PSTM to elucidate the evolution of the optical near-field
             pattern when a large number of identical particles are arranged in a linear
             chain. Comparison with  theoretical calculations lead  them  to  confirm  the
             unexpected squeezing of the optical near field due to SP coupling above a
             chain of half oblate Au spheroids nanoparticles with sizes averaging 100 x
                   2
             100 nm  in section, by 40 nm height.
               Kottmann and  Martin [220]  conducted a theoretical investigation of the
             plasmon  resonances of  interacting silver  cylindrical nanoparticles  with 50
             nm diameter at various separations, e.g., see Fig. 5-8. This figure shows that
             at a separation of 5 nm and incidence along the major axis (i.e., along the
             horizontal arrow) a single  cylinder exhibits a resonance  (dotted line) at
             λ  =  344 nm . This resonance has the same magnitude, although shifted down
             to λ  =  340 nm ,  for two cylinders (dashed line). In addition, an extra
             resonance at about  372  nm is observed (dashed line)  for this latter  case,
             showing the coupling of the two cylinders. In this case, an enhancement in
             gap field amplitude, with respect to the incident field amplitude, by a factor
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