By Pierre Jaeglé

ISBN-10: 0387299904

ISBN-13: 9780387299907

Extreme ultraviolet radiation, also known as gentle X-rays or XUV, deals very exact optical houses. The X-UV refractive index of topic is such that standard mirrored image can't occur on polished surfaces while beam transmission via one micrometer of virtually all fabrics reduces to 0. hence, it has lengthy been a tough activity to visualize and to enforce units designed for advanced optics experiments during this wavelength variety. due to new resources of coherent radiation - XUV-lasers and excessive Order Harmonics - using XUV radiation, for interferometry, holography, diffractive optics, non-linear radiation-matter interplay, time-resolved learn of speedy and ultrafast phenomena and lots of different functions, together with clinical sciences, is ubiquitous.

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**Sample text**

It is shown in [47] (par. 22) within a good approximation, when the intensities of the two beams at point P are equal. 11). 16), is a propagation eﬀect. The theoretical study of correlation propagation leads to the very important van Cittert–Zernike theorem , which gives the general expression of coherence distribution, around a given point, of a beam emitted from an incoherent source. This theorem states that the (equal-time) complex degree of coherence is equal to the amplitude of the diﬀraction pattern around this point, of an aperture of the same size as the light source.

Let E11 , E21 and E12 , E22 be the corresponding ﬁelds at P1 and P2 (see [47], Chapter 4). The ﬂuctuations of the waves emerging from the two noncorrelated source points will reproduce in each of the resulting ﬁelds, E1 , E2 , at points P1 and P2 . 4) and Therefore, the sums E1 and E2 will give similar wave trains at P1 and P2 , although the constituent wave trains, E11 and E21 , on one side, E12 and E22 , on the other, may be of completely diﬀerent forms. That is why correlations may appear, as a result of propagation, between the ﬁelds E1 and E2 .

The “grid” formed on this surface by a set of elements Coherent XUV Radiation Beams 49 Fig. 6. Deﬁnition of spatial modes by the coherence condition δsδA/R2 ≤ λ2 . similar to δA can be arbitrarily translated in directions perpendicular to light propagation direction. In this sense the modes are not strictly localized in space. However, the fact that they deﬁne coherent ﬁeld zones is clearly demonstrated by the fringe patterns that may be observed through pinholes bored inside each of the coherence area, δA.

### Coherent sources of XUV radiation : soft X-ray lasers and high-order harmonic generation by Pierre Jaeglé

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