The present invention relates to a method and apparatus for measurement of electromagnetic phase shifts. In a particular application the invention provides an inherently stable and robust interferometer.
Phase measurement by interferometry is at the heart of a wide range of diagnostic methods. A non-exhaustive list of applications includes spectroscopy, microscopy, gas analysis, flow analysis, pollution monitoring, monitoring thin-film deposition and stress analysis and distance measurement.
Several different types of two-beam interferometers are known in the prior art. Typical examples are the Michelson, Mach-Zehnder and Jamin interferometers. In general these apparatus operate by amplitude division, that is dividing an incident laser beam into two beams, one of which is used as a reference beam and the other which is used as a probe beam. The optical path of the probe beam is varied relative to the reference beam by its passage through, or reflection from, a test piece. The beams are recombined and interfere. The intensities of the interference fringes in the output beams are sinusoidal functions of the optical path difference introduced by interaction of the probe beam with the test piece.
A problem that arises in the use of some types of prior art interferometers is that their operation is impaired by shocks and vibration.
It is an object of the present invention to provide an alternative to prior art interferometers that is robust and relatively insensitive to shock and vibration.
According to a first aspect of the present invention there is provided an interferometer including:
a beam displacing assembly arranged to split an input beam into separated first and second basis beams and to combine said basis beams to produce at least one output beam; and
a phase analyser responsive to the at least one output beam and arranged to determine a difference in phase shift imparted to one of said basis beams relative to the other by a test piece.
In one embodiment the beam displacing assembly includes first and second polarising beam displacers.
The second polarising beam displacer may be orientated inversely relative to the first polarising beam displacer.
Preferably a half-wave plate is located between the first and second polarising beam displacers.
The phase analyser may comprise a polarimetric phase retrieval assembly arranged to calculate the phase shift on the basis of signals representing Stokes parameters associated with the output beam.
In one embodiment the beam displacing assembly is arranged to impart horizontal and vertical polarizations to the first and second basis beams.
Preferably the phase analyser comprises a polarimetric phase retrieval assembly including half-wave and quarter wave plates to transform left and right circular components of the at least one output beam into corresponding vertical and horizontal components.
Preferably the interferometer includes means to discriminate between the vertical and horizontal components.
In a preferred embodiment photodetectors are included to produce electrical signals corresponding to the vertical and horizontal components.
The interferometer may include means to combine the electrical signals to produce signals corresponding to Stokes parameters.
Preferably a processor is provided that is responsive to the signals corresponding to the Stokes parameters and arranged to generate a signal indicating a phase shift imparted to one of the basis beams relative to the other.
The beam displacing assembly may include a beam splitter arranged to split the input beam into the separated first and second basis beams
In one embodiment the interferometer includes first and second holographic plates arranged to impart respectively orthogonal spatial modes to said first and second basis beams.
Preferably the interferometer includes a means to superpose the first and second basis beams thereby creating said at least one output beam.
The means to superpose the first and second basis beams may comprise a beamsplitter.
Alternatively, the means to superpose the first and second basis beams may comprise a holographic plate.
In one embodiment the means to superpose the first and second basis beams produces first and second output beams comprising a superposition of transverse spatial modes.
In one embodiment the phase analyser includes a number of spatial mode analysers each including a means to convert a desired one of said transverse spatial modes to a lowest order spatial mode.
Preferably the means to convert one of said transverse spatial modes to a lowest order spatial mode comprises a holographic plate.
Preferably the spatial mode analysers each include a spatial mode filter arranged to filter light from the holographic plate.
The spatial mode filter may comprise a single mode optical fibre.
Preferably light from said optical fibre is converted to a corresponding electrical signal by means of a photodetector.
It is desirable that the interferometer include means to combine corresponding electrical signals from each of the number of spatial mode analysers in order to obtain signals representing Stokes parameters.
Preferably a processor is provided that is arranged to process the signals representing Stokes parameters in order to generate a signal corresponding to a phase shift imparted to one of said basis beams relative to the other.
According to a further aspect of the present invention an interferometer is provided that includes:
means for splitting an input beam into a first pair of basis beams;
means for recombining said first pair of basis beams to form at least one output beam; and
means for processing the at least one output beam to determine a relative phase shift imparted between the said first pair of basis beams.
The means for splitting the input beam may be arranged so that the first pair of basis beams comprises respective orthogonally polarized beams.
More particularly, the means for splitting the input beam may be arranged so that the first pair of basis beams comprises respective horizontally and vertically polarized beams.
Preferably the means for processing the at least one output beam comprises a polarimetric phase retrieval assembly.
Alternatively, the means for splitting the input beam is arranged so that the first pair of basis beams comprises respective orthogonal spatial mode beams. In that case the means for processing the at least one output beams may include a number of spatial mode filters
The polarimetric phase retrieval assembly will preferably be arranged to calculate the phase shift from signals representing Stokes parameters.
Further preferred features of the present invention will be described in the following detailed description of exemplary embodiments wherein reference will be made to a number of figures as follows.
A preferred embodiment of an interferometer 1, according to the present invention, is shown schematically in
In use a test piece 7 is placed in the path of probe beam 8 as shown. Phase shift is imparted to the probe beam due to its interaction with the piece. Reference beam 6 and probe beam 8 are recombined by polarising beam displacer, 9, orientated inversely relative to displacer 5, to form an encoded output beam 12. Output beam 12 is received by a phase shift analyser in the form of polarimetric phase-retrieval module 11. Phase-retrieval module 11 generates an electrical signal that corresponds to the phase shift imparted by test piece 7.
An interferometer 10, according to a further embodiment of the invention is shown in
An advantage of the interferometers of
If the polarization state of beam 4 is not known, or if there are systemic phase shifts in a practical realisation of the device, then removing piece 7 facilitates interferometer calibration by providing a reference state, i.e. the state of output beam 12, that contains only systemic phase shifts.
Beam 16 from splitter 17 is incident upon a half wave plate 19 which transforms diagonal and anti-diagonal components in beam 16 into corresponding horizontal and vertical linearly polarized components of beam 28. Polarizing beam splitter 21 splits beam 28 into horizontally and vertically polarized component beams 32 and 30 respectively. The intensity of horizontally polarised beam 32 is detected by photodetector 25 to produce a corresponding electrical signal on cable 36. The intensity of the vertically polarised beam 30 is detected by photodetector 23 which produces a corresponding electrical signal on cable 34. The intensity signals on cables 36 and 34 are appropriately scaled and differenced by pre-processor 27 to produce a signal corresponding to the S2 Stokes parameter on cable 40.
The S2 and S3 signals from pre-processors 27 and 37 are processed by processing module 39 to calculate φ=arctan(S3/S2) which is the phase difference imparted by piece 7. In one implementation, processing module 39 includes a suitably programmed fast digital processor and associated analog-to-digital converters to calculate the arctangent function. The processing module may also control a digital display 43, by means of cable 41, in order to generate a visual readout of φ.
The S2 and S3 detectors may be configured to measure the temporal variation in the output, the spatial variation in the output, or both. That is, the photodetection part of the detectors may include, but are not limited to, single element detectors (for example, PIN photodiode or PMT) or spatial imaging components (for example, CCD or CMOS camera). In the latter case, the signal processing must be applied on a pixel by pixel basis.
It will be realised that the present invention involves, decomposing the output beam 12 into a pair of analysis beams that are analysed in bases different to that used to construct the input. Each component in the new bases can be expressed as a linear superposition of components of the original basis, beams 6 and 8, with a known relationship between them. Thus this relationship may be used to extract the relative phase shift between the reference and probe arms. This is then, exactly, the phase shift imparted to electromagnetic radiation by the physical system under study. Those skilled in the art will appreciate that equivalent behaviour can be realised with any two orthogonal modes, e.g. orthogonal transverse spatial modes of the field, and a phase extracted from them by an appropriate homologue of the Stokes parameters (see for example N. K. Langford et al., Physical Review Letters vol. 93, 053601 (2004), the contents of which is hereby incorporated in its entirety by cross-reference).
An embodiment of the invention which makes use of orthogonal spatial modes is depicted in use in
Referring now to
Referring again to
Further variations and embodiments in addition to those explained herein are possible, for example, the output beams of beam displacer 5 in the embodiments of
The embodiments of the invention described herein are provided for purposes of explaining the principles thereof, and are not to be considered as limiting or restricting the invention since many modifications may be made by the exercise of skill in the art without departing from the scope of the invention as defined by the following claims.
Number | Date | Country | Kind |
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2003904613 | Aug 2003 | AU | national |
Filing Document | Filing Date | Country | Kind | 371c Date |
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PCT/AU04/01160 | 8/27/2004 | WO | 10/26/2006 |