We study numerically the measurement of distances and distance fluctuations by photothermal correlation spectroscopy
and coupled plasmon resonances. Gold nanoparticle dimers form a coupled longitudinal plasmon resonance
in the absorption cross section, which strongly depends on distance. This new plasmon resonance can be
advantageously used to heat the particles in a photothermal microscope. We calculate the distance dependence
of the photothermal signal as a function of particle size and distance. The results demonstrate that the photothermal
signal autocorrelation function stay single exponential even for large amplitude fluctuations and thus
directly reveals the dynamics of the distance fluctuations without any corrections as required for fluorescence
resonance energy transfer (FRET). Further, we show, that this type of distance detection provides distance
measures beyond the accessible range of a few nanometers as in FRET.
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