The present invention relates to an optical system, such as a wavelength meter, for example a spectrometer or interferometer, and a method for wavelength selection.
Light propagation through time dependent disordered or random media is generally regarded as a randomisation process of the optical field destroying all the information in the initial beam. However, a coherent beam propagating in a stationary random medium yields a deterministic speckle pattern, whilst maintaining its initial spatial and temporal coherence. Such behaviour is exploited in the design of several novel optical devices, for example to create focal spots using computer generated holograms, to trap micro-particles and coherently address plasmonic nano-structures.
Key to devices based on time dependent disordered or random media is that the information content of the optical field is maintained when transmitted through a random medium. Thus, the stationary wavefront randomisation process can be used to detect the state of the light field before scattering.
The use of wavelength meters is ubiquitous in photonics. Miniaturisation of such devices would be highly advantageous. A multimode fiber may be used to create wavefront randomisation to act as a spectrometer, as described in B. Redding, S. M. Popoff, and H. Cao, Opt. Express 21, 6584 (2013), and B. Redding and H. Cao, Opt. Lett. 37, 3384 (2012). However, to achieve a resolution of 8 pm between two adjacent laser lines would require 20 m of fibre free of perturbations, which would be difficult to realize in practice. It has also separately been recognised that spectral polarimetric measurements may be performed using the transmission matrix of random media, see T. W. Kohlgraf-Owens and A. Dogariu, Opt. Lett. 35, 2236 (2010).
Lab-on-a-chip applications require small integrated wavelength detectors. One way to achieve this is by propagating light through periodic structures, such as a super prism made from specially engineered photonic crystals. The optical dispersion of these crystals can deliver resolution of 0.4 nm at a wavelength of 1.5 μm. However, these devices rely on out-of-plane detection and free space propagation, and so are not fully integrated on-chip devices.
According to the present invention, there is provided an optical system or apparatus comprising a randomizer that includes randomly positioned particles for randomizing light to provide a speckle pattern and a detector for detecting and analyzing the randomized light to determine one or more properties of the light. Preferably, the randomizer is transmissive.
The one or more properties of the light may be selected from: wavelength, polarization, coherence and beam shape parameters.
The system or apparatus may be a wavelength meter or a spectrometer or an interferometer.
Preferably, the randomizer comprises a thin layer or film. The thickness of the thin layer or film may be less than 100 μm, and ideally less than 50 μm.
The present invention provides a wavefront mixing process that acts as a generalised interferometer, delivering a different speckle pattern for each different incident beam. This property can be used, for example, to simultaneously measure the azimuthal and radial modes of Laguerre-Gaussian beams. The same approach can be used to measure other key properties of the light field such as polarisation state or wavelength.
The randomizer may comprise a layer of film of randomly positioned particles, for example aluminium particles, which cause a speckle pattern to be formed.
The randomizer may comprise randomly positioned particles suspended in a matrix. The matrix may comprise bulk material or may be a thin planar layer.
The randomizer may comprise a layer of randomly positioned particles, for example aluminium particles. The randomizer may comprise a layer or slice of biological material, such as a slice of biological tissue. The randomizer may be provided as a thin film that can be positioned in front of or on an optical path from a light source.
The randomizer may be positioned in an optical cavity, for example a Fabry Perot cavity.
The randomizer may be reflective. The randomizer may comprise a hollow element for internally reflecting and randomizing light to generate a speckle pattern. The randomizer may comprise a hollow sphere, for example an integrating sphere, or a hollow tube.
A single mode fibre may be provided for transmitting single mode light to the randomizer. This avoids issues with beam size matching and incident beam dimensions.
Principal component analysis (PCA) may be used to analyse the randomized light to determine the wavelength of the light.
A variable optical element or device may be provided in front of the randomizer for varying the light incident on the randomizer. The variable optical element or device may be operable to vary the amplitude and/or phase of light. The variable optical element or device may comprise at least one of a deformable mirror, a spatial light modulator, for example a liquid crystal spatial light modulator, and a digital micro-mirror.
Multiple randomisers may be provided. The randomisers may be periodically spaced. The randomisers may be positioned to deliver a speckle pattern that is most efficient at a specific wavelength.
According to another aspect of the invention, there is provided a laser comprising a controllable laser source, a randomizer for randomizing light from the controllable laser source to generate a speckle pattern; a detector for detecting and analyzing the speckle pattern to determine one or more properties of the light; a controller for controlling the controllable laser source based on the determined one or more properties of the light.
Preferably the randomiser comprises a plurality of randomly positioned scatterers for scattering and thereby randomizing light to generate a speckle pattern. The randomiser may comprise a thin layer or film of randomly positioned particles. The randomiser may comprise a matrix in which randomly positioned particles are suspended. The randomiser may comprise bulk material.
The randomizer may be reflective. The randomizer may comprise a hollow element for internally reflecting and randomizing light to generate a speckle pattern. The randomizer may comprise a hollow sphere, for example an integrating sphere, or a hollow tube.
According to yet another aspect of the invention, there is provided a laser stabilisation system for stabilising the output of a controllable laser source, the stabilisation system comprising a randomizer for randomizing light from the controllable laser source to generate a speckle pattern; a detector for detecting and analyzing the speckle pattern to determine one or more properties of the light; and a controller for controlling the controllable laser source based on the determined one or more properties of the light. Preferably the randomiser comprises a plurality of randomly positioned scatterers for scattering and thereby randomizing light to generate a speckle pattern. The randomiser may comprise a thin layer or film of randomly positioned particles. The randomiser may comprise a matrix in which randomly positioned particles are suspended. The randomiser may comprise bulk material.
Multiple detectors may be provided and at least part of the speckle pattern is incident on the multiple detectors. Different parts of the speckle pattern may be incident on different detectors. Different detectors may be operable to determine different properties of the light. The different detectors may be operable to simultaneously determine the different properties of the light.
According to yet another aspect of the invention, there is provided an optical system comprising a randomizer for randomizing light to generate a speckle pattern, at least one detector for detecting and analyzing the speckle pattern to determine one or more properties of the light, and a variable optical element or device in front of the randomizer for varying the light incident on the randomizer. The variable optical element or device may be operable to vary the amplitude and/or phase of light. The variable optical element or device may comprise at least one of a deformable mirror, a spatial light modulator, for example a liquid crystal spatial light modulator, and a digital micro-mirror. Multiple detectors and means for diverting or directing the speckle pattern to the multiple detectors may be provided. The means for diverting or directing may be operable to divert different parts of the speckle pattern to different detectors. The means for diverting or directing may comprise one or more optical devices or elements. For example, the means for diverting or directing may comprise a controllable beam shaping device, such as a deformable mirror, spatial light modulator, digital micro-mirror.
According to still another aspect of the invention, there is provided an optical system comprising a randomizer for randomizing light to generate a speckle pattern, multiple detectors for detecting and analyzing the speckle pattern to determine one or more properties of the light, and means for diverting or directing the speckle pattern to the multiple detectors. The means for diverting or directing are operable to divert different parts of the speckle pattern to different detectors. The means for diverting or directing may comprise one or more optical devices or elements. For example, the means for diverting or directing may comprise a controllable beam shaping device, such as a deformable mirror, spatial light modulator, digital micro-mirror. A variable optical element or device may be provided in front of the randomizer for varying the light incident on the randomizer.
Using the scattering properties of a remarkably simple thin diffuser, it is possible to detect the wavelength of a monochromatic beam to picometer precision. This approach may be extended to even higher resolution through the use of an optical cavity placed around the randomizing medium. This allows an ultra-compact spectrometer and new methods for laser/beam stabilisation based on analysis of the speckle fields.
Various aspects of the invention will now be described by way of example only and with reference to the accompanying drawings, of which:
The present invention uses random scatterers to generate speckle patterns from coherent light, so that properties of the light can be measured, such as wavelength, polarization and coherence. Light that has passed through the random scatterers is analysed using principal component analysis. Before the random scatterers, a coherent beam can be seen as a superposition of many beamlets. After its propagation through the random scatterers, an interference pattern is observed between the constituent beamlets, each having changed directions, spot sizes and relative phases.
Two laser sources were used to test the spectrometer of
Two different geometries were considered for the randomizer. In a first approach, a thin layer of random aluminium particles was used. This was formed using a small drop≈5 μl) of a commercially available solution of alumina particles with a mean size of 5 μm and deionised water on a glass substrate. The glass slide was 160 μm thick and was cleaned with 5 minutes long immersions in Acetone and Isopropanol in an ultrasonic bath, followed by Oxygen-based plasma ashing at 100 W. Care was taken in letting the de-ionised water evaporate slowly to minimise curling of the surface of the drying drop (see
To determine the wavelength corresponding to a given speckle pattern the random wavelength meter has to be calibrated. This is done by recording the speckle pattern for each wavelength to be detected. More precisely, a number N of patterns is measured, where each speckle pattern is defined by a two dimensional array corresponding to the intensities measured by the CCD camera. This delivers a higher order array corresponding to the intensities measured by the camera Aijk where the subscripts i and j are the pixel coordinates on the camera and k an index distinguishing between different measurements. These different measurements either correspond to different wavelengths λ or to multiple exposures having the same wavelength but probing the fluctuations of the optical system.
Once calibration is completed, the largest variations between the different speckle patterns are measured using the multivariate principal component analysis (PCA). In a first step, the average speckle image is subtracted from every measured image Âijk=Aijk−<A>ij where <·> stand for the average over the index k. The pixel coordinates part of the intensity array are flattened (for example a 2 by image is flattened as: pixel (1,1)->1, pixel (1,2)->2, pixel (2,1)->3 and pixel (2,2)->4). This flattening process transforms the higher order array into a normal array amk=Âijk where the index m=1 . . . N corresponds to a unique mapping from the (i, j) pair to the linear index m. The principal components are obtained by calculating the eigenvectors of the matrix
M=aaT
where the T superscript stands for the matrix transposition. The covariance matrix M is N by N sized. Each eigenvector has N elements and can be recast in the image form by exchanging the linear index m to the pair index (i, j). The eigenvector with the largest eigenvalue is called the first principal component (PC), the second largest to the second principal component and so on.
The distribution of eigenvalues allows determination of the number of degrees of freedom that the speckle pattern can access as the wavelength is varied. One method to calculate this number is by determining the number of eigenvalues whose sum is equal to 90% or similar threshold of the sum of all the eigenvalues. The larger this number is the larger the speckle pattern variability for a given wavelength variation. The wavelength resolution of the random spectrometer is higher the larger the number of degrees of freedom.
The determination of the PC allows the representation of the speckle patterns in PC space. Each measured speckle pattern can de decomposed into a static background (the average speckle pattern) and the weighted sum of a few principal components accounting most variations.
After decomposition, each speckle pattern can be represented by a small number of amplitudes corresponding to the coordinates of a point in the PC space. Here, the first eight PCs were used to represent each pattern.
Once the wave meter is calibrated, the speckle pattern of an unknown wavelength is recorded. This pattern is decomposed in the previously calibrated PC space. The wavelength can be established using for example a nearest neighbour, Mahalanobis distance or linear regression classification method. All these classification methods deliver perfect results (no error) if the detected wavelength is part of the calibration set.
Provided the parametric curve in the PC space is smooth, continuous and locally linear, it is also possible to measure an unknown wavelength using for example partial least squares (PLS) regression in the PC space. PLS is used to detect the wavelength and determine its standard error deviation when the unknown wavelength is not necessarily part of the calibration set.
There are routes to improve on the sensitivity of the randomizer by including an optical feedback mechanism. This can the achieved by embedding the random scattering medium within a Fabry Perot cavity. The main difference between the two devices was the much lower transmission intensity through the Fabry Perot based device and the resulting need for an increased exposure time of the CCD detector. No resolution improvement was observed when using the specific Fabry Perot cavity.
It is possible to generalise the training method to go beyond the detection of a single parameter, so that multiple parameters can be measured at the same time. This includes not only beam shape parameters but also polarisation and multiple simultaneous wavelengths. This latter case enables the construction of compact purpose build spectrometers. Further, the simultaneous detection of changes in multiple beam parameters can give insight into a number of optical phenomena that all have an effect on the transmission of optical beams. Minute changes in these parameters can in effect be amplified by the multiple scattering in the random diffuser and detected with high sensitivity.
Whilst the optical system of
The sensitivity, contrast and accuracy of the optical system of the present invention can be adjusted through the use of at least one controllable device that can control the amplitude or phase of a light field. Such controllable devices include deformable mirror is, liquid crystal spatial light modulators and digital micro-mirror devices. The controllable device is positioned at the input of the randomizer. Using such devices, multiple patterns can be generated from the same beam. This increases the amount of information that can be measured simultaneously.
The invention is generic in that it can be used to detect not only the wavelength but, using suitable training, the polarization state and/or shape of the incident beam. Because of this, it is important to limit the number degrees of freedom that the random spectrometer is trained for. Here, a single mode fibre (SMF) has been used to limit the system to a single variable, the wavelength. In effect, the SMF acts as the input slit in a monochromator ensuring that at the output of the monochromator only variations in wavelength generate an intensity variation. However, replacing the SMF by a multimode fibre or pinhole would add to the wavelength variability of the speckle pattern the variations due to the beam shape.
Using a simple random medium in accordance with the invention can provide a wavelength meter with picometer resolution, exploiting the large number of degrees of freedom associated with the light transmission through this disordered medium. Implementations of the meter achieved a 13 pm resolution and a bandwidth of 10 nm at a wavelength of 800 nm. The concept can be extended to random media within a cavity. This can enhance its wavelength sensitivity at the expense of transmitted intensity. This concept may be extended to the development of specialised spectrometers and for use for laser stabilization.
In some circumstances, if data acquisition speed is important, some of the principal component analysis can be achieved in the optical domain. To do this, a controllable beam shaping device, such as a deformable mirror, spatial light modulator, digital micro-mirror, is placed at the output of the randomizer. The controllable beam shaping device is then arranged to direct certain parts of the speckle pattern to different detectors. The intensity of these new beams will correspond to the principal components. The detectors can be single photodetectors, quad photodetectors, balanced photodetectors or an array of one or more of these detectors. Adding or subtracting photocurrents from the multiple detectors, and applying the appropriate weighting factors, provides the PC coefficient for fast data acquisition. This is typically needed for implementing a feedback loop, as would be required for the laser stabilisation system of
The integrating sphere has a coating that is highly reflective at the wavelength of interest on its inner surface. The coating diffuses light in a manner similar to the thin diffuser described above, but in reflection. Light reflects back and forth inside the sphere until ultimately it is detected at the output port with the camera or the array of detectors. Inside the sphere, a number of coated baffles (not shown) is provided to block a direct light path between input and output port. The material of the sphere ideally should have high thermal stability, so as not to change its optical properties as a result of small temperature fluctuations. The sphere may also be stabilised in temperature using thermoelectric Peltier elements, for example. Further temperature stabilisation can also be achieved by cooling the integrating sphere in a constant temperature liquid bath. The surfaces inside the integrating sphere are treated to ensure high diffusive reflection. The imaging part of the integrating sphere corresponds to an output port of the integrating sphere. No further optics are required on this port, although one or more optical elements could be used to enlarge or shrink the speckle pattern.
The laser beam that is to be measured or stabilized is optically coupled to the single mode fibre. Light coming out of the single mode fibre does not change its beam profile as the wavelength changes. The output light from the fibre is used to illuminate the input port of the integrating sphere. The integrating sphere creates highly wavelength sensitive speckle patterns. This is achieved through the many diffuse reflections inside the sphere that the light field makes before reaching the output port and the camera. In effect, the camera measures the speckle pattern created from the interference between the many paths the light is taking inside the sphere. As the distances between successive diffusive reflections inside the sphere are large this speckle pattern has a high sensitivity to small wavelength changes. In general, the speckle wavelength resolution/sensitivity is proportional to the optical path-length inside the speckle-generating device.
In the examples shown in
The method described with reference to
The system of
In lasers, the optical properties of the active gain medium inside the laser cavity are highly temperature dependent. Usually, the gain medium is temperature stabilised through the use of a thermostat which measures the temperature of the gain medium using, for example, a thermo couple. By monitoring speckle pattern variations in accordance with the present invention, the impact on the output due to changes in the temperature of the gain material can be monitored and a feedback loop used to stabilise its optical properties directly (for example by varying the drive current).
As well as being used to stabilise lasers, the present invention could be used to stabilise other optical components, such as optical sensors. In particular, the speckle patterns of the invention can be used to stabilise, control or monitor optical components, which have outputs that are temperature dependent. The temperature dependence could be due to thermal expansion, contraction and refractive index changes with temperature. In practice, some of these changes are minute. However, speckle pattern changes can be used to detect these minute changes and measure an effect temperature change in the optical system. This temperature change can then either be monitored or used in a feedback loop adapted to control one or more parameters that effect temperature. The temperature dependent optical changes might not be associated with wavelength change only, but beam shape and polarisation might also change. In this case the speckle pattern device would not include the single mode fibre at the input which is used when detecting only wavelength changes.
In all the examples described above, the detector may include a processor or analyser for analyzing the speckle patterns to determine one or more parameters of the light and/or changes in such parameters. Alternatively, the analysis processor or analyser may be provided separately from any detector element. Equally, in all cases, multiple detectors or arrays of detectors may be provided and at least part of the speckle pattern may be incident on the multiple detectors. Different parts of the speckle pattern may be incident on different detectors. Different detectors may be operable to determine different properties of the light. The different detectors may be operable to simultaneously determine the different properties of the light.
The present invention provides a high resolution, high sensitivity speckled pattern wavelength meter. This allows the locking of a laser wavelength at any chosen wavelength. Additionally, it enables an ultrastable light source in the continuous wave and pulsed operational regimes of a laser device, because it is possible to counteract temporal, spectral, spatially and amplitude fluctuations of the laser device. Also, the characterised speckled pattern can be used as a “dial on demand” speckle pattern for structured illumination for imaging applications.
A skilled person will appreciate that variations of the disclosed arrangements are possible without departing from the invention. For example, whilst the analysis technique has been described based on PCA, it will be appreciated that other pattern detection methods could be used. Also, whilst the specific embodiment uses a single mode fibre to filter the randomised input beam, this is not essential. As well as being sensitive to wavelength, the speckle pattern is sensitive to beam shape and polarisation of the light field. Where information on these parameters is needed, the single mode fibre would not be used. Accordingly, the above description of the specific embodiment is made by way of example only and not for the purposes of limitation. It will be clear to the skilled person that minor modifications may be made without significant changes to the operation described.
Number | Date | Country | Kind |
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1319079.8 | Oct 2013 | GB | national |
Filing Document | Filing Date | Country | Kind |
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PCT/GB2014/053218 | 10/29/2014 | WO | 00 |