Abstract
This dissertation deals manly with the attempt to extend the study of plasmonic effects in the ultra-high intensity (beyond \(10^{18}\,\text {W/cm}^2\)) laser-matter interaction. Plasmonics, which is the study of surface plasmons, is a mature research field. However, surface plasmons are generally excited with low-intensity laser pulses. The study of plasmonic effects when ultra-high intensity lasers are involved is an almost completely unexplored ground. In this regime, which will be referred as High Field Plasmonics in the following, relativistic, strongly non-linear effects are expected to take place.
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Notes
- 1.
- 2.
For a comparison, the average electrical power produced on Earth is \({\sim }\)2–3 TW [9]. Thus a PW class laser system is hundreds of times more powerful than the total electric output of the Earth.
- 3.
An audio signal with similar properties recalls the chirping of birds.
- 4.
Ti:Sapphire laser systems operate in the 1–10 Hz frequency range (i.e. one shot every 0.1–1 s), mainly due to issues related to the amplifying stages.
- 5.
Fibre-based lasers can operate in the kW regime with a wall-plug efficiency \(\sim \)30 %.
- 6.
- 7.
The critical intensity for ionization of any material with single photon processes is \({\sim }3.5\times 10^{16}\,\text {W/cm}^2\).
- 8.
The interested reader can found a thorough discussion of the rich physics of EM waves propagation in plasmas in [34].
- 9.
As for a typical Ti:Sapphire laser system.
- 10.
Phenomena like self-focusing, higher frequency generation ...may take place and concepts like the refraction index and the dispersion relation cannot be ported straightforwardly in this regime.
- 11.
Though not manifestly covariant, f(x, p) can be proven to be a Lorentz scalar using the ancillary function \(\mathcal {N}(x,p) = \frac{1}{p_0} \delta (p^0 - \sqrt{p^2 + m^2 c^2})f(x,p)\). It is possible to show that \(\mathcal {N}(x,p) = \dfrac{1}{mc}\int d\tau \langle {\sum \limits _{i=1}^{N} \delta ^{4}\left( {{x}-{x}_i(t)}\right) \delta ^{4}\left( {{p} - {p}_i(t)}\right) }\rangle \), which is a Lorentz scalar (\(\tau \) is the proper time). Moreover, it is trivial to show that \(\theta (p^0) \delta (p^\mu p_\mu - m^2c^2) = \dfrac{\delta (p^0-\sqrt{\mathbf {p}^2+m^2c^2})}{2p^0}\). Finally, since using the previous result \(\mathcal {N}(x,p) = \theta (p^0) \delta (p^\mu p_\mu - m^2c^2) f(x,p)\), we can conclude that f(x, p) is a Lorentz scalar.
- 12.
This estimated energy is called the “ponderomotive energy”.
- 13.
Normally a layer of hydrocarbon contaminants is always present on the target surfaces.
- 14.
The excitation of surface waves in relativistic laser-matter interaction was first proposed in [86] but the topic has remained essentially unexplored up to now.
- 15.
Without using an EM wave, a SP can be excited also with accelerated charged particles.
- 16.
Field enhancement exceeding 100\(\times \) are reported in the literature.
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Fedeli, L. (2017). Introduction on High Intensity Laser-Plasma Interaction and High Field Plasmonics. In: High Field Plasmonics. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-44290-7_2
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