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Application and Optimisation of the Spatial Phase Shifting ...

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3<br />

1 Introduction<br />

The present era <strong>of</strong> high technology, with its enormous production capacities <strong>and</strong> ever-increasing rate <strong>of</strong><br />

invention, has generated a great need for tools to make new solutions reliable <strong>and</strong> safe. It is indispensable<br />

to test prototypes experimentally to find design flaws, improve concepts <strong>and</strong> increase outputs. In serial<br />

production <strong>of</strong> delicate <strong>and</strong> expensive items, it is desirable to distinguish faulty pieces quickly from good<br />

ones without subjecting <strong>the</strong>m to excessive stress <strong>and</strong> possibly destroying <strong>the</strong>m; consequently, <strong>the</strong>se<br />

methods are referred to as non-destructive.<br />

While non-destructive testing (NDT) supports industrial development, it is also suitable to deal with some<br />

consequences <strong>of</strong> industrialisation, which has given rise to environmental pollution, changing into<br />

destruction in <strong>the</strong> past few decades. Due to air pollution, <strong>the</strong> decay <strong>of</strong> historical buildings <strong>and</strong> monuments<br />

has accelerated in a disquieting way since about <strong>the</strong> middle <strong>of</strong> <strong>the</strong> 20 th century. In exact opposite to serial<br />

production, <strong>the</strong> role <strong>of</strong> NDT in this context is to assist in valuation <strong>of</strong> measures to preserve unique works<br />

<strong>of</strong> art. The Applied Optics workgroup at <strong>the</strong> Carl von Ossietzky University <strong>of</strong> Oldenburg has been<br />

working in this field for more than two decades.<br />

Interferometry is an elegant way to accomplish <strong>the</strong>se contradictory tasks, with <strong>the</strong> additional benefit <strong>of</strong><br />

being non-contacting, in contrast to, e.g., strain gauges. The sensitivity <strong>of</strong> interferometric methods<br />

depends largely on <strong>the</strong> wavelength <strong>of</strong> <strong>the</strong> used radiation; for <strong>the</strong> optical wavelength range, <strong>the</strong> sub-µm<br />

scale is <strong>the</strong>refore easily accessible, <strong>and</strong> with some care, even <strong>the</strong> nm scale can be reached. Since <strong>the</strong><br />

invention <strong>of</strong> strong sources <strong>of</strong> coherent light [Mai60], interferometric methods can be conveniently<br />

utilised for a multitude <strong>of</strong> measuring problems.<br />

However, with <strong>the</strong> advent <strong>of</strong> masers <strong>and</strong> lasers, <strong>the</strong> so-called speckle effect, known since <strong>the</strong> 19 th century,<br />

became very important. As opposed to classical interferometry with polished parts like lenses <strong>and</strong> mirrors,<br />

optically smooth surfaces are generally rare; <strong>the</strong>y seldom occur in industrial processes, <strong>and</strong> almost never<br />

in studies <strong>of</strong> historical objects. The wavefront coming back from a scattering object has a r<strong>and</strong>om<br />

intensity <strong>and</strong> phase structure, <strong>the</strong> speckle pattern; <strong>the</strong>refore, a general approach to interferometry requires<br />

comparing such a wavefront with itself.<br />

This was initially done by holographic interferometry, where a hologram <strong>of</strong> <strong>the</strong> object provides <strong>the</strong><br />

reference. By viewing <strong>the</strong> object through <strong>the</strong> hologram, a real-time interference <strong>of</strong> <strong>the</strong> reference <strong>and</strong> <strong>the</strong><br />

slightly different momentary wavefront is observed. Depending on whe<strong>the</strong>r <strong>the</strong> wavefronts are locally in<br />

phase or out <strong>of</strong> phase, <strong>the</strong> object appears covered by a pattern <strong>of</strong> bright <strong>and</strong> dark fringes that can easily be<br />

interpreted as iso-lines <strong>of</strong> equal object deformation. Thanks to <strong>the</strong> high spatial resolution <strong>of</strong> holographic<br />

silver halide emulsions, <strong>the</strong>se fringes are very clear for <strong>the</strong> most part <strong>and</strong> very small speckles are<br />

allowable.<br />

A significant disadvantage <strong>of</strong> holographic interferometry is <strong>the</strong> necessity <strong>of</strong> relatively long exposure<br />

times, typically about a second; <strong>the</strong>refore great stability, most probably in a laboratory, is required, or

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