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Study of x-ray multilayers.
Optical studies of different materials in the soft x-ray region

Study of x-ray multilayers

Figure 1
:  Schematic of x-ray multilayers where incident wave field gets reflected at successive interfaces.

Surfaces and interfaces study

X-ray multilayers consist of alternating layers of two different materials.  The two materials of highest possible refractive index contrast are chosen in order to obtain substantial reflectivity from such artificially grown structures.  The performance of multilayer optics is very sensitive to structural properties and chemical stability of constituent elements.  The role of interfaces is very crucial and if these are not well defined, the performance of multilayer optics will deviate from designed value.  Schematic of such multilayer device is illustrated in Figure –1.

The real multilayers do not have sharp interfaces at the boundary of two materials.  Due to variation in kinetics and other influencing parameters, the profiles at the interfaces are very different.  The variations are occurred due to interdiffusion, compound formation, roughness replication etc.  An illustrative representation of real multilayer is given in Figure-2.  It is shown that the sharp variation of refractive index at the interfaces may take some complex shapes, which ultimately lead to destroy the optical performances.

The interfacial roughnesses may have different growth styles.  Due to growth correlations between the successive layers, the roughnesses of different interfaces may be of correlative type.  The correlated and uncorrelated types of roughnesses are shown in Figure-3. 
X-ray reflectivity is a non-destructive method to investigate the buried interfaces.  The technique is able to derive all types of structural information.  Nowadays the multilayer optics has found wide applications in the third generation synchrotron beamline, where the high thermal load generated by intense synchrotron beam may generate structural deformation, therefore the structural properties of x-ray multilayers are need to be investigated at elevated temperatures apart from their room temperature characterization.  In light of that various material combinations have been studied in detail, still search is going on to generate multilayer optics of ultra short period with having sharp interfacial profiles and more stable structure.
Optical behavior in soft x-ray region

For better prediction of optical performances of any optical devices, the knowledge of optical constants is indispensable.  In x-ray region the refractive index is defined as , where
d is decrement index and b is absorption index.  These parameters are known as optical constants.  In general, the absorption part b is derived from transmission measurements and thereafter the real part d is obtained by applying the integral transform method (Kramers-Kroning method).  However, this method requires the complete knowledge of b value over full spectral region in order to obtain a d value at a particular wavelength.  In this method the interpolation technique is used to generate the values of b at the intermittent energy region where absorption measurements are not available.  Since x-ray absorption spectra consist of various fine features particularly near the absorption edges, therefore interpolation may lead to smear out those fine features.  Such techniques will affect the calculation of other counterpart.  Most of data available in literature are based on similar method.  X-ray reflectivity technique offers a unique opportunity to derive both parameters simultaneously using the Fresnel reflectivity formula.  There is vast scope to generate a reliable optical data in the soft x-ray region, particularly for the materials exhibiting good x-ray optical response.
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