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Nanoparticles for in-vitro and in-vivo biosensing and imaging

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38 Pr<strong>in</strong>ciples<br />

the time spent <strong>in</strong> S 1 : <strong>for</strong> a s<strong>in</strong>gle experimental decay the 63% relax at t < τ <strong>and</strong> 37% at<br />

t > τ.<br />

Figure 2.2: A simplified Jablonski diagram.<br />

An opportunity to control the radiative rates arises from the <strong>in</strong>teractions of fluorophores<br />

with nearby metallic surfaces or particles. Nearby metal surfaces can respond<br />

to the fluorophore oscillat<strong>in</strong>g dipole <strong>and</strong> modify the rate of emission <strong>and</strong> the spatial distribution<br />

of the radiated energy. The electric field felt by a fluorophore is affected by the<br />

<strong>in</strong>teractions of the <strong>in</strong>cident light with the nearby metal surface <strong>and</strong> also by <strong>in</strong>teraction<br />

of the fluorophore oscillat<strong>in</strong>g dipole with the metal surface (excitation enhancement).<br />

Additionally, the fluorophores oscillat<strong>in</strong>g dipole <strong>in</strong>duces a field <strong>in</strong> the metal (emission<br />

enhancement). These <strong>in</strong>teractions can <strong>in</strong>crease or decrease, depend<strong>in</strong>g on distance, the<br />

field <strong>in</strong>cident on the fluorophore, its radiative decay rate <strong>and</strong> the spatial distribution of<br />

the radiated energy.<br />

2.2 Radiative decay eng<strong>in</strong>eer<strong>in</strong>g<br />

We refer to the <strong>in</strong>teractions of fluorophores with novel metal particles as radiative decay<br />

eng<strong>in</strong>eer<strong>in</strong>g (RDE) because the radiative decay rates of the fluorophores are modified by<br />

plac<strong>in</strong>g them <strong>in</strong> close proximity to the metal [6] [7] [8].<br />

Prior to describ<strong>in</strong>g the unusual effects of metal surfaces on fluorescence it is valuable to<br />

describe what we mean by Radiative Decay Eng<strong>in</strong>eer<strong>in</strong>g (RDE) <strong>and</strong> <strong>in</strong> particular spectral<br />

changes expected <strong>for</strong> <strong>in</strong>creased radiative decay rates. Spectroscopists are accustomed to<br />

per<strong>for</strong>m experiments us<strong>in</strong>g 5 to 10 A ◦ -sized fluorophores <strong>in</strong> macroscopic solutions, typically<br />

transparent to the emitted radiation. There may be modest changes <strong>in</strong> refractive<br />

<strong>in</strong>dex, such as <strong>for</strong> a fluorophore <strong>in</strong> a membrane, but such changes have only a m<strong>in</strong>or<br />

effect on the fluorescence spectral properties. In such nearly homogeneous solution, the<br />

fluorophores emit <strong>in</strong>to free space <strong>and</strong> are observed <strong>in</strong> the far field. The spectral properties<br />

are well described by Maxwells equations <strong>for</strong> an oscillat<strong>in</strong>g dipole radiat<strong>in</strong>g <strong>in</strong>to free<br />

space. However, the <strong>in</strong>teractions of electromagnetic radiation with physical objects can

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