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Pre-Phase A Report - Lisa - Nasa

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Chapter 3<br />

Experiment Description<br />

3.1 The interferometer<br />

3.1.1 Introduction<br />

When a gravitational wave passes through the plane of the LISA antenna it can be regarded<br />

as changing the geometry of the antenna. The precise length of each arm is defined by<br />

the distance between the front faces of proof masses positioned inside the three drag free<br />

spacecraft. The changes in proof-mass separations are determined by measuring the phase<br />

delays for laser beams which have traversed the arms of the interferometer. Due to the<br />

wide spread of even a well collimated laser beam over the arm length of 5×106 km, the<br />

beam cannot simply be reflected at the far spacecraft. Rather, the beams are ‘amplified’<br />

with the help of a laser at each craft. So the interferometry is done by comparing the<br />

phase of an infra-red laser beam being transmitted out to a far mass with that of the<br />

beam transponded back.<br />

In this section, we discuss the layout of the optical system, the performance requirements<br />

it must meet and the current plans for measuring the phase of the various heterodyne<br />

signals. In Section 4.3 we explain in more detail the planned methods for correcting for<br />

the laser phase noise and for removing the effects of clock noise.<br />

To describe the method for measuring the distance changes, it is useful to have a nomenclature<br />

for referring to the different spacecraft, optical benches, and arms. The three<br />

spacecraft (S/C) are labelled A, B and C, and each S/C contains two optical benches,<br />

labelled A1, A2, B1, B2 and C1, C2. The arms of the interferometer are defined between<br />

the optical benches, e.g. arm 1 is between optical benches A1 and C2. The whole nomenclature<br />

is shown in figure 3.1. Note that all designations progress counterclockwise around<br />

the triangle.<br />

The laser associated with optical bench A1 will serve as the master laser for the whole<br />

system and will be locked to an on-board reference cavity. All the other lasers in the<br />

system will be phase locked to this master laser. The lasers on a spacecraft can thus<br />

be considered as essentially identical and the three spacecraft can thus be thought of as<br />

forming a Michelson interferometer with an extra arm. Signal information from the other<br />

two S/C will be sent back to S/C A by modulation put on the laser beams travelling<br />

Corrected version 2.08 53 3-3-1999 9:33

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