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08-Optical Tables.pdf - Qioptiq Q-Shop

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Microbench Nanobench Tube System C Positioners Rail Systems Mounts and Posts Mirror Mounts<br />

<strong>Optical</strong> <strong>Tables</strong>, Introduction<br />

Demands on the precision and resolutions<br />

of metrologi cal equipment and<br />

techniques have become more stringent<br />

in pace with technological advances.<br />

Metrological set ups and systems have<br />

thus become more sensitive to external<br />

influences, such as temperature variations<br />

and vibrations.<br />

Thermal effects may usually be minimized<br />

by thermo stat ting, use of<br />

temperature-compensated hardware and<br />

supporting structures, shortening the<br />

duration of mea sure ment, and other<br />

relatively straightforward means. Special<br />

equipment is available for minimizing<br />

effects due to vibrations, but the full<br />

benefits provided by such equipment will<br />

be obtained only if all of the following<br />

requirements are met:<br />

••<br />

All components of metrological setups or<br />

systems must be sufficiently rigidly aligned<br />

with respect to one another. This<br />

requirement may be met by mounting all<br />

such components on a single, extremely<br />

stiff, base. <strong>Optical</strong> Table Tops are used for<br />

this purpose.•<br />

••<br />

The entire complex, consisting of the experimental<br />

setup itself plus its supporting<br />

base, must be mounted on vibrationisolators.<br />

Special supports equipped with<br />

various types of vibration-isolation systems<br />

are used for this purpose.<br />

Compliance (mm/N)<br />

Frequency (Hz)<br />

<strong>Optical</strong> Table Tops<br />

<strong>Optical</strong> Table Tops must be designed to<br />

provide high structural stiffness if<br />

relative motions of components mounted<br />

on them due to external vibrations are to<br />

be minimized. In addition, any vibrations<br />

reaching Table Tops, in spite of the<br />

vibration-isolation systems incorpo rated<br />

into their supports, must be rapidly<br />

damped out; i.e., <strong>Optical</strong> Table Tops must<br />

have highly effective internal damping<br />

mechanisms.<br />

<strong>Optical</strong> Table Tops may thus be classified<br />

in terms of their structural rigidities and<br />

their internal damping cha rac teristics.<br />

Their structural rigidities should be<br />

assessed in terms of both their static<br />

stiffness and their dynamic rigidities, i.e.,<br />

their resistance to deformations due to<br />

dynamic applied loads.<br />

••<br />

Their static stiffnesses are equivalent to<br />

their Young‘s moduli, and are thus the<br />

ratio of their bending deflec•tions to the<br />

magnitudes of the temporally constant<br />

(static), concentrated, applied loads<br />

causing these deflections.•<br />

••<br />

Their dynamic rigidities, on the other<br />

hand, express their Young‘s moduli as<br />

functions of the frequencies of temporally<br />

varying, i.e., dynamic, applied loads, such<br />

as vibrations, inducing bending deflections<br />

of their structures.•<br />

The frequency responses of Table Tops<br />

may be graphi cally represented in the<br />

form of so-called „compliance“ curves,<br />

defined as the reciprocals of their<br />

dynamic rigi di ties, versus the frequencies<br />

of periodically varying applied loads,<br />

covering the full ranges of frequencies<br />

likely to be of interest.<br />

An analysis of the compliance curves of<br />

<strong>Optical</strong> Table Tops indicates that they<br />

may be roughly regarded as ideal rigid<br />

bodies up to frequencies of about 80 Hz.<br />

At higher frequencies, however, <strong>Optical</strong><br />

Table Tops exhibit resonances, evident by<br />

occurrence of peaks in their compliance<br />

curves. Compliance curves are a useful<br />

aid in assessing the dynamic rigidities of<br />

<strong>Optical</strong> Table Tops at various excitation<br />

frequencies. They may also be used to<br />

compare the frequency responses of<br />

unloaded Table Tops of equal weight and<br />

equal dimensions.<br />

Since the amplitudes of vibrational<br />

resonances of rec tang ular Table Tops are<br />

greatest at their corners, corner-compliance<br />

curves, or plots of their compliances<br />

at their corners versus the frequencies of<br />

dynamic applied loads, represent<br />

quantitative indicators of table-top<br />

per formance. The widths of resonance<br />

peaks occurring in their corner-compliance<br />

curves are indicative of the<br />

effec tiveness of their internal damping<br />

mechanisms.<br />

In concluding our brief discussion of<br />

these topics, we should emphasize that<br />

the factors mentioned above refer to the<br />

performance of unloaded Table Tops, i.e.,<br />

to Table Tops with no components<br />

mounted on them. These factors alone<br />

are thus inadequate to fully describe<br />

their performance under conditions of<br />

actual use. Since the static loads, and<br />

probably the dynamic loads as well,<br />

exerted on <strong>Optical</strong> Table Tops by<br />

experimen tal setups will vary from case<br />

to case, purely qualitative design factors,<br />

particularly specifications relating to<br />

their honeycomb core mass density,<br />

should also be taken into account in<br />

selecting <strong>Optical</strong> Table Tops. The<br />

material(s) used in fabricating their<br />

honeycomb cores, core thickness, plus<br />

specifications relating to their top and<br />

bottom plates and their sidewalls,<br />

constitute further major selection<br />

criteria. Any design features or mechanisms<br />

that have been incorporated in order<br />

to improve their internal damping<br />

characteristics should also be taken into<br />

account.<br />

Details of the special design features of<br />

LINOS Photonics <strong>Optical</strong> Table Tops are<br />

covered in the subsection entitled<br />

„Design Features“.<br />

Compliance curve for a typical <strong>Optical</strong> Table Top<br />

272 Phone numbers: US +1 585 223 2370 UK +44 2380 744 500 Singapore +65 6499 7766

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