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5 years ago

Characterization of the laser induced damage threshold of mirrors in ...

Characterization of the laser induced damage threshold of mirrors in ...

have proven itself

have proven itself invaluable for the mirror characterization and development. 5.2.4 Investigations on damage mechanisms and improvement of damage threshold We already started to compare the damage threshold of several very similar dielectric multilayer stacks and together with the upcoming improvements we will be able to create accurately conditioned samples. The extensive possibilities of the MPQ give us access to state of the art analyzation methods that will be used to characterize those samples, in order to shed some light on damage mechanisms of dielectric multilayer stacks. With the knowledge gained this way we hope to optimize current mirror designs or introduce completely new approaches for the design of high damage threshold mirrors. Considering the recent efforts of other groups [32] an increase of the damage threshold of one order of magnitude from the values stated in this thesis could be possible. 38

Chapter 6 Appendix 6.1 Appendix A: Derivation of the critical electron density 6.1.1 The movement of an electron in a solid under the influence of an external electric field The movement of an electron within a solid under the influence of an external oscillating electric field is given in the classical Drude-Lorentz model by: Facceleration + Fscattering = FE−F ield which can be written in the one dimensional case as m ∗ d2x 1 + m∗ · dt2 τp dx dt = −eE0e −iωt where m ∗ denotes the reduced mass and τp the scattering time. This equation can be solved via the ansatz resulting in c = − Combining equations 6.3 and 6.4 leads to x = − x = c · e −iωt eE0 m ∗ ω(ω + i 1 τp ) e m ∗ ω(ω + i 1 τp ) · E0e −iωt we can identify the last term as the external electric field. 39 (6.1) (6.2) (6.3) (6.4) (6.5)

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