Mirrors Edge 2 Download: The Complete Review of the Graphics, Gameplay, and Story

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We consider in this Chapter axisymmetric mirror substrates characterized by highly curved surfaces i.e. surfaces with a significant cambrure. The elasticity theory of thin plates basically assumes a plane middle surface. Thus, its validity field remains limited to mirrors of moderate f-ratio.

Various boundary conditions occur at the shell contour for the radial displacement and tangential rotation. With respect to these conditions, we consider several geometrical configurations: (i) a meniscus form with a simply supported and radially free edge, (ii) a vase form semi-built-in with an outer cylinder, and (iii) a closed form made of two shells built-in together via an outer cylinder.

Fig. 1. Schematic of the Lloyd mirror IL with a focusing beam: reflected and direct beams having different optical paths (d) and arrival times (t) are illustrated. The angle of the mirror is θ from normal. The visibility of fringes decreases away from the edge owing to the optical path difference between two short pulses.

The resulting AFM image in Fig. 4(a) shows a pattern with a period of 198 nm, corresponding to a mirror angle of 4.2. Figure 4(b) is the cross section of (a). The groove depth (Δd) along the x-axis is measured as plotted in Fig. 4(c) and clearly drops as a function of distance from the mirror edge. There are several reasons for the drop. Firstly, the transverse intensity profile of the Gaussian beam drops away from the edge, where the right half is flipped over the mirror with a reflection of 95% in Lloyd's mirror scheme. Secondly, the time delay between the reflected beam and the direct beam increases away from the edge. As the interfering time decreases, the degree of mutual coherence decreases resulting in the drop of fringe visibility.

In principle, the intensity distribution of interference fringes is given by the time-averaged sum of two electric fields. We now have to consider the time integral over the pulse duration. For nano- or picosecond pulses, the change in time integral is negligible along the x-axis owing to the long pulse duration. However, for the pulses below 100 fs, the time integration term drops quickly away from the mirror edge. In the interference term of the fringe in Eq. (3), I2 is delayed. Thus, I2 can be rewritten as I'_2 = I_2 \times O_(x), where O(x) is an overlap factor with a normalized value shown in Fig. 5(b), which depends on the pulse duration.

where V0 = V(x=0), I_0 = I_1,(x = 0) + I'_2,(x = 0), and I_(x) = I_1,(x) + I'_2,(x). Figure 6 shows the results obtained using Eq. (8) with different distances from the edge. The visibility is >0.55 over the investigated area. The visibility is not significantly reduced in the investigated x-range.

This work was supported by the EPSRC Basic Technology program (GR/R87307/01). H.K., M.O., and M.M. acknowledge financial support from the EU FP7 Erasmus Mundus Joint Doctorate Programme EXTATIC under framework partnership agreement FPA-2012-0033. P.B. acknowledges the EPSRC studentship (EP/K503150/1, EP/P505739/1, EP/J500537/1). L.J. acknowledges financial support from the Helmholtz Association for a Helmholtz Professorship as a part of the Initiative and Networking Fund. The data for this work is accessible through the University of Southampton Institutional Research Repository. 2ff7e9595c