The invention relates to a spectroscopic instrument, in particular an imaging system for a spectroscopic instrument, to a system for optical coherence tomography and also to a process for spectral analysis.
Optical coherence tomography (OCT for short) serves for two-dimensional and three-dimensional (2D and 3D for short) structural examination of a specimen. In so-called spectral-domain OCT (SD OCT for short) or in so-called frequency-domain OCT (FD OCT for short) a spectrally broadband, i.e. polychromatic, beam of light is analysed spectrally. For this purpose a spectroscopic instrument comes into operation. The beam of light is coupled into the spectroscopic instrument, is split up spectrally therein, and a spectral intensity distribution (a spectrum) I is registered with the aid of a sensor having several sensor elements. From this spectral intensity distribution I the spatial structure of the specimen being examined can then be inferred, and a one-dimensional (1D for short) tomogram of the specimen (a so-called A-scan) can be determined.
To determine an A-scan, the spectral intensity distribution I should be a distribution over the wavenumber k, i.e. I=I(k), whereby the periodicities arising herein (the so-called modulation frequencies) provide information about the spatial structure of the specimen directly. The modulation frequencies can readily be ascertained from the spectral intensity distribution if the intensity values thereof are available for various wavenumbers k that differ from one another by a fixed wavenumber range Δk (or a multiple thereof). This allows for imaging of the spectrum linearly over the wavenumber k.
However, in conventional spectroscopic instruments for measuring the spectral intensity distribution the spectrum is generally imaged onto the sensor in such a manner that intensity values are registered for various wavelengths λ that differ from one another substantially by a fixed wavelength range Δλ (or a multiple thereof). That is, the spectral intensity distribution is sampled linearly over the wavelength λ. Since the wavelength λ and the wavenumber k are connected to one another in non-linear manner via k=2n/λ, the spectrum is accordingly available in non-linear form over k. For the determination of the modulation frequencies, a spectrum I(k) that is linear over k therefore has to be ascertained from the spectrum I(λ) that is linear over λ by suitable data processing. This procedure is called re-sampling. The re-sampling requires a certain computing-time, which renders difficult a rapid representation of the OCT signals, particularly when large amounts of data are being ascertained for the spectral intensity distribution. In addition, the re-sampling is generally accompanied by a drop in sensitivity over the depth of measurement (i.e. a loss of quality in the signal-to-noise ratio, called SNR drop-off, SNR trade-off or sensitivity drop).
More extensive information on optical coherence tomography, particularly on spectral analysis in connection with optical coherence tomography, can be gathered from the following publications:
W. Drexler, J. G. Fujimoto: Optical Coherence Tomography: Technology and Applications, Springer Verlag, Berlin Heidelberg New York 2010;
V. M. Gelikonov, G. V. Gelikonov, P. A. Shilyagin: Linear-Wavenumber Spectrometer for High Speed Spectral-Domain Optical Coherence Tomography, Optics and Spectroscopy, 106, 459-465, 2009;
V. M. Gelikonov, G. V. Gelikonov, P. A. Shilyagin: Linear wave-number spectrometer for spectral domain optical coherence tomography, Proc. SPIE 6847, 68470N, 2008;
Z. Hu, A. M. Rollins: Fourier domain optical coherence tomography with a linear-in-wavenumber spectrometer, Optics Letters, 32, 3525-3527, 2007.
It is an object of embodiments of the invention to specify a spectroscopic instrument, in particular an imaging system for a spectroscopic instrument, a system for optical coherence tomography and also a process for spectral analysis that enable a rapid ascertainment of tomograms of high image quality.
According to advantageous embodiments, a spectroscopic instrument includes a first optical component for spatial spectral splitting of a polychromatic beam of light impinging onto the first optical component, an objective, which routes various spectral regions of the split beam of light onto differing spatial regions, and also a sensor, situated downstream of the objective in the beam path of the beam of light, with a plurality of light-sensitive sensor elements, the sensor elements being arranged in the beam path of the split beam of light in such a manner that each sensor element registers the intensity of a spectral sector of the beam of light and the medians of the spectral sectors are situated equidistant from one another in the k-space, where k denotes the wavenumber. In other words: after passing through the first optical component and the objective, the spectrum of the polychromatic beam of light is imaged onto the sensor linearly over the wavenumber k.
Consequently the spectroscopic instrument itself provides a spectral intensity distribution that is linear over the wavenumber k. A later re-sampling of the raw data that have been output from the spectroscopic instrument is therefore not necessary. The proposed spectroscopic instrument consequently makes it possible for the time required for the extraction of an OCT tomogram to be reduced. In addition a loss of sensitivity, over the depth of measurement, due to the re-sampling, can be avoided and/or reduced.
The first optical component may take the form of a diffractive component. In particular, a diffractive component may take the form of a diffraction grating, a transmission grating, a reflection grating, a volume grating, a relief grating, an amplitude grating, a holographic grating and/or a Fresnel zone plate. The centres of diffraction of the diffractive component are constituted, in particular, by slits, grooves, slats, lands and/or Fresnel zones. The centres of diffraction of the first optical component may be arranged not equidistantly from one another, in particular, with a slightly variable reciprocal diffraction-centre spacing. In particular, the centres of diffraction of the first optical component are arranged with respect to one other in such a manner and/or the first optical component is arranged in relation to the incident beam of light in such a manner that the first optical component exhibits an angular dispersion dθ/dk, in the case of which the diffraction angle θ of the beam of light emerging from the first optical component in relation to the beam of light entering the first optical component depends linearly on the wavenumber k. To the extent that it is a question of diffraction, only the first order of diffraction is understood in the following. The centres of diffraction may exhibit a slightly variable grating constant.
The first optical component may take the form of a dispersive component. A dispersive component may take the form of a wedge-shaped structure and/or a prism, in particular a dispersing prism and/or reflecting prism. The geometry (for instance, the refracting angle α), the material (for instance, glass) and/or the optical properties of the material (for instance, the refractive index n(k) and/or the dispersion dn/dk) of the prism may be selected in such a manner and/or the prism may be arranged in relation to the incident beam of light in such a manner that the first optical component exhibits an angular dispersion dθ/dk, in the case of which the deflection angle θ of the beam of light emerging from the first optical component in relation to the beam of light entering the first optical component depends linearly on the wavenumber k.
The first optical component may take the form of a grating prism (a so-called grism). The grating prism may take the form of a modular unit consisting of a dispersive component (for instance, a prism) and a diffractive component (for instance, a diffraction grating). The modular unit may have been designed in such a way that the dispersive component and the diffractive component are arranged non-adjustably with respect to one another. For this purpose a plurality of centres of diffraction (for instance, by virtue of appropriate coating, vapour deposition, embossing, scoring or such like) may have been applied onto a surface of a prism. The geometry (for instance, the refracting angle α), the material (for instance, glass) and/or the optical properties of the material (for instance, the refractive index n(k) and/or the dispersion dn/dk) of the prism may be selected in such a manner and/or the centres of diffraction of the diffraction grating applied onto the prism may be arranged with respect to one another in such a manner and/or the grating prism may be arranged in relation to the incident beam of light in such a manner that the grating prism splits up the beam of light in accordance with an angular dispersion dθ/dk combined from a grating angular dispersion of the grating of the grating prism and from a prism angular dispersion of the prism of the grating prism, in the case of which the deflection angle θ of the beam of light emerging from the first optical component in relation to the beam of light entering the first optical component depends linearly on the wavenumber k.
The objective may exhibit such properties that a collimated ray bundle, emanating from the first optical component on the object side, of the split beam of light is focused to a focus on the image side in such a manner after passing through the objective that a lateral spacing of the focus from an optical axis of the objective increases linearly with the angle of incidence with an increasing angle of incidence at which the collimated ray bundle is incident into the objective in relation to the optical axis of the objective.
The objective may be of rotationally symmetrical design. In particular, the objective may be of cylindrically symmetrical design with respect to its optical axis. The objective takes the form, in particular, of a flat-field scanning lens, an f-theta objective or a telecentric f-theta objective, in particular an f-theta objective that is telecentric on the image side. The objective may exhibit an entrance pupil located outside the objective. The objective may be arranged in relation to the first optical component in such a manner that the first optical component, but in particular also the point on the first optical component at which the split beam of light emerges from the first optical component, is located in the centre of the entrance pupil of the objective.
Alternatively or additionally, the objective exhibits distortion-burdened and/or lateral chromatic imaging properties. The objective may be adapted to route the beam of light split up by the first optical component in such a manner, that medians, situated equidistant from one another in the k-space, of various spectral regions of the polychromatic beam of light are focused to differing foci, the centres of which are situated equidistant from one another in the configuration space.
For this purpose, by suitable selection of the glasses used within the objective for the refracting elements, in particular the material and/or shapes thereof, the objective may exhibit such distortion-burdened and/or lateral chromatic imaging properties that an extra-axial spacing, depending on the wavelength, results which obeys a non-linear function. In particular, this effect can be utilised by adjustment of the position and/or orientation of the objective in relation to the beam path of the beam of light split up by the first optical component in such a manner that the split beam of light is routed by the objective in such a manner that medians, situated equidistant from one another in the k-space, of various spectral sectors are focused to differing foci, the centres of which are situated equidistant from one another in the configuration space.
‘Lateral’ means along an axis oriented perpendicular to the optical axis of the objective. ‘Chromatic’ means dependent on the wavelength λ. ‘Extra-axial’ means in the lateral direction with non-vanishing spacing from the optical axis.
The objective may be arranged in relation to the first optical component in such a manner that the split beam of light passes through the objective substantially or exclusively above a plane in which an optical axis of the objective is situated. Additionally or alternatively, the objective may have been arranged in relation to the first optical component in such a manner that an optical axis of the objective has been tilted in relation to the direction of propagation of a wave train of the split beam of light that represents the median of the entire spectrum of the polychromatic beam of light in the k-space.
The spectroscopic instrument may include a second optical component taking the form of a dispersive and/or diffractive component, which has been combined with the objective so as to form a modular unit in such a manner that the objective and the second optical component are arranged non-adjustably with respect to one another. In particular, the second optical component may take the form of an objective attachment. The second optical component may have been arranged upstream of the objective in the beam path of the beam of light. Alternatively, the second optical component may have been arranged downstream of the objective in the beam path of the beam of light.
The first optical component, the objective, the sensor, the sensor elements, one of the modular units described above and/or all the further components of the spectroscopic instrument may have been formed as such on a base plate of the spectroscopic instrument in positionally adjustable manner with the aid of adjustment means provided for them, such as rails, sliding tables, bar linkage, posts, translation stages or rotating stages. In particular, the mutual positions and/or orientations of the first optical component, of the objective, of the sensor, of the sensor elements and/or of the modular unit amongst themselves are adjustable, in particular manually. The components of a modular unit, on the other hand, have been firmly connected to one another in advance in such a manner that the relative position and/or orientation thereof is non-adjustable.
Centres of the light-sensitive surfaces of the sensor elements of the sensor may be arranged equidistant from one another. Alternatively, the centres of the light-sensitive surfaces of the sensor elements of the sensor may have been arranged spatially in accordance with the foci or the centres of the foci onto which the objective focuses medians, situated equidistant from one another in the k-space, of various spectral regions of the polychromatic beam of light on the image side. In particular, the sensor may take the form of a CCD line sensor or CMOS line sensor wherein the centres of the light-sensitive surfaces of the sensor elements lie on a straight line. The light-sensitive surfaces of the sensor elements may have been designed to be of equal size or of differing size.
An imaging system for a spectroscopic instrument includes one of the first optical components described above, one of the objectives described above and/or one of the modular units described above.
A system for optical coherence tomography includes one of the spectroscopic instruments described above. The system further includes a light-source for making available coherent polychromatic light, and a beam-splitter that has been set up to couple the coherent polychromatic light into a reference arm and into a specimen arm, to superimpose the light back-scattered from the reference arm and from the specimen arm so as to form a polychromatic beam of light, and to couple the polychromatic beam of light into the spectroscopic instrument for the purpose of spectral analysis.
A process for spectral analysis comprises the following steps:
To the extent that a process or individual steps of a process for spectral analysis is/are described in this description, the process or individual steps of the process can be executed by an appropriately configured apparatus. Analogous remarks apply to the elucidation of the mode of operation of an apparatus that executes process steps. To this extent, apparatus features and process features of this description are equivalent. In particular, it is possible to realise the process or individual steps of the process with a computer on which an appropriate program according to the invention is executed.
The invention will be elucidated further in the following on the basis of the appended drawings, of which:
a to 3e show a schematic representation of a distribution of medians of various spectral regions,
a and 4b show an illustration of a spectrum that is linear over the wavelength A and non-linear over the wavenumber k,
a and 5b show an illustration of a spectrum that is linear over the wavenumber k and non-linear over the wavelength λ,
a and 10b show a schematic representation of a spectroscopic instrument according to a fifth and a sixth embodiment, respectively, and
A system for optical coherence tomography is denoted generally in
The system 10 includes a light-source 14 for emitting a coherent polychromatic beam of light 16. The light-source 14 emits a spectrum of coherent light that is broadband within the frequency space. The beam of light emitted from the light-source 14 is directed onto a beam-splitter 18. The beam-splitter 18 is a constituent part of an interferometer 20 and splits up the incident optical output of the beam of light 16 in accordance with a predetermined splitting ratio, for example 50:50. One ray bundle 22 runs within a reference arm 24; another ray bundle 26 runs within a specimen arm 28.
The ray bundle 22 branched off into the reference arm 24 impinges onto a mirror 30 which reflects the ray bundle 22 collinearly back onto the beam-splitter 18. A focusing optical train 32 and controllable scanning components 34 are provided within the specimen arm 28. The controllable scanning components 34 have been set up to route the ray bundle 26 coming in from the beam-splitter 18 through the focusing optical train 32 onto the object 12. In this connection the angle of incidence at which the ray bundle 26 coming from the beam-splitter 18 enters the focusing optical train 32 is adjustable with the aid of the scanning components 34. In the example shown in
The ray bundle 26 back-scattered from the object 12 in the specimen arm 28 is superimposed at the beam-splitter 18 collinearly with the ray bundle 22 reflected back from the mirror 30 in the reference arm 24 so as to form a polychromatic beam of light 36. The optical path lengths in reference arm 24 and specimen arm 28 are substantially equally long, so that the beam of light 36 displays an interference between the ray bundles 22 and 26 back-scattered from reference arm 24 and specimen arm 28. A spectroscopic instrument or spectrometer 38 registers the spectral intensity distribution of the polychromatic beam of light 36.
Instead of the free-space setup represented in
The spectroscopic instrument 38 is represented in more detail in
The first optical component 48 has been set up to split up the polychromatic beam of light 46 impinging onto the first optical component 48 spatially into the spectral constituents thereof. In exemplary manner the course of three collimated beams of light 46a, 46b, 46c of differing spectral regions of the split polychromatic beam of light 46 is represented. An objective 50 collects the beams of light 46a, 46b, 46c and directs the latter onto differing spatial regions 52a, 52b, 52c. The objective 50 may comprise several lenses. The objective 50 exhibits an entrance pupil (not represented) which is arranged in the beam path of the split beam of light 46a, 46b, 46c upstream of all the refracting surfaces of the objective 50. The objective 50 may be arranged in relation to the first optical component 48 in such a manner that the point on the first optical component 48 at which the split beam of light 46a, 46b, 46c emerges from the first optical component 48 is located in the centre of the entrance pupil of the objective 50.
Located downstream of the objective 50 in the beam path of the split beam of light 46a, 46b, 46c is a sensor 54 with a plurality of light-sensitive sensor elements 54a, 54b, 54c. In the example which is shown here, the sensor 54 takes the form of a CMOS camera or CCD camera (or line camera) which exhibits a plurality of pixels, for example 4096 pixels. The sensor elements 54a, 54b, 54c consequently represent the individual pixels of the camera 54. The sensor elements 54a, 54b, 54c are arranged in the beam path of the split beam of light 46a, 46b, 46c in such a manner that each sensor element 54a, 54b, 54c registers the intensity of a different spectral sector A1, A2, A3 of the spectrum of the beam of light 46. The totality of the intensity values registered by the sensor elements 54a, 54b, 54c yield a spectral intensity distribution in the form of an output signal 56.
The output signal 56 generated by the spectroscopic instrument 38 is transferred to a control device 60; see
The collimated polychromatic beam of light 46 consists of a large number of wave trains propagating substantially in parallel. In the case of the wave trains, harmonic plane waves may be assumed for the sake of simplicity. Each wave train of the beam of light 46 is characterised by precisely one wave vector k. The direction/orientation of the wave vector k represents the direction of propagation of the wave train. The magnitude k of the vector k, called the wavenumber k, is a measure of the spatial spacing of two wavefronts within the wave train. The spatial periodicity of the wave train is reflected in the wavelength λ. It holds that λ=(2n)/k.
The spectrum 66 of the beam of light 46 is represented schematically in
A median Mki (i=1, 2, 3) in the k-space is determined as follows: If the wavenumbers k1 to kni arising within a spectral region Bi (or spectral sector Ai) are ordered by magnitude in a mathematical sequence, where ni represents the number of wavenumbers within region Bi (sector Ai), then median Mki in the case ni odd means the value at the (ni+½)th place; in the case n even, it means the mean value derived from the values in the ni/2th and (ni/2+1)th places. For a continuous or quasi-continuous distribution of the wavenumbers k1 to kni within spectral region Bi (sector Ai), alternatively the median may be constituted by the mean value derived from k1 and kni, where k1 represents the smallest wavenumber and kni represents the largest wavenumber that arise within spectral region Bi (sector Ai). Corresponding remarks apply to the determination of a median in the λ-space.
Before the beam of light 46 impinges onto the first optical component 48, wave trains that are characterised by wavenumbers k1, k2, k3 corresponding to the medians Mk1, Mk2, Mk3 move substantially along the same path 67 represented in dashed manner in
After passing through the first optical component 48 the spectrum 66 has been split up spatially (for example, in accordance with a certain angular dispersion). The first optical component 48 changes, depending on the wavenumber k, the orientation of the wave vectors k1, k2, k3 but not the magnitudes thereof, i.e. the wavenumbers k1, k2, k3 themselves. This means that the wave trains corresponding to the medians Mk1, Mk2, Mk3 now move substantially along differing paths 68a, 68b, 68c, likewise represented in
The paths 68a, 68b, 68c can also be influenced/routed, in particular deflected, in the further course by the objective 50, so that the wave trains corresponding to the medians Mk1, Mk2, Mk3 pass through the straight line z drawn in
By virtue of the routing of the wave trains along the paths 68a, 68b, 68c onto the sensor elements 54a, 54b, 54c, the spectrum 66 is imaged onto the sensor 54. The sensor elements 54a, 54b, 54c each register one of the spectral regions B1, B2, B3 or (more generally) sectors A1, A2, A3 of the spectral regions B1, B2, B3; see
In conventional spectroscopic instruments 38 the individual sensor elements 54a, 54b, 54c of the sensor 54 are arranged in the beam path of the split beam of light 46, 46a, 46b, 46c in such a manner that the sensor elements 54a, 54b, 54c register spectral sectors A1, A2, A3, the medians of which Mλ1, Mλ2, Mλ3 in the λ-space are situated equidistant from one another or are situated at least non-linearly in the k-space.
This state of affairs is represented more precisely in the diagrams in
On the other hand, this signifies, by reason of the non-linear relationship k=2n/λ between the wavenumber k and the wavelength λ, that in the case of conventional spectroscopic instruments 38 the spectrum 66 of the polychromatic beam of light 46 is imaged onto the sensor 54 non-linearly over the wavenumber k. This is made clear by the diagram in
In the case of the spectroscopic instrument 38 according to the invention the sensor elements 54a, 54b, 54c of the sensor 54 are arranged in the beam path of the split beam of light 46a, 46b, 46c in such a manner that the medians Mk1, Mk2, Mk3 of the spectral sectors A1, A2, A3 of the spectrum 66 of the beam of light 46 registered by the sensor elements 54a, 54b, 54c are situated equidistant from one another in the k-space.
This state of affairs is again represented in
In
In the first embodiment, represented in
In the second embodiment, represented in
The objective 50 of the first and second embodiments shown in
In
In the third, fourth, fifth and sixth embodiments the objective 50 exhibits such imaging properties that the beam of light 46a, 46b, 46c split up by the first optical component 48 is routed by the objective 50 in such a manner that medians Mk1, Mk2, Mk3, situated equidistant from one another in the k-space, of various spectral regions B1, B2, B3 are focused to differing foci 78a, 78b, 78c, the centres of which are situated equidistant from one another in the configuration space; see, for example,
In
In the third embodiment, in
In the fourth embodiment, in
In
In
The first optical component 48, the objective 50, the sensor 54, the sensor elements 54a, 54b, 54c, the modular unit denoted by 84 and/or all the further components 40, 42, 44 of the spectroscopic instrument 38 may have been formed as such on a base plate 88 of the spectroscopic instrument 38 in positionally adjustable manner with the aid of adjustment means 86 provided for them, such as rails, sliding tables, bar linkage, mirror posts, translation stages or rotating stages. In particular, the mutual positions and/or orientations of the first optical component 48, of the objective 50, of the sensor 54, of the sensor elements 54a, 54b, 54c and/or of the modular unit 84 amongst one another are adjustable, in particular manually. On the other hand, components 74 and 76 or 50 and 82′ of the modular units 48 and 84, respectively, have been firmly connected to one another in advance in such a manner that the relative position and/or orientation thereof is/are non-adjustable.
In the first to sixth embodiments shown in
In
Number | Date | Country | Kind |
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PCTEP201106588 | Dec 2011 | EP | regional |
Filing Document | Filing Date | Country | Kind | 371c Date |
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PCT/EP2011/006588 | 12/28/2011 | WO | 00 | 8/22/2014 |