The invention relates to a laser-like light source of a rangefinder, in particular for a laser scanner, a profiler or a theodolite.
Various principles and methods are known in the field of electronic or electro-optical rangefinding. One approach consists of emitting pulsed electromagnetic radiation, such as e.g. laser light, to a target to be measured, and subsequently receiving an echo from this target as back-scattering object, with the distance to the target to be measured being determined on the basis of the time-of-flight of the pulse. Such pulse time-of-flight measuring devices have in the meantime prevailed as standard solutions in many fields.
However, current rangefinders equipped with a laser light source, for example from a laser scanner with a high measurement accuracy, in particular with low distance noise, often exhibit artifacts such as intensity noise within the data point clouds generated thereby, and indicate wavy, bumpy surfaces therein instead of actually present smooth, flat surfaces sampled and to be imaged. The occurrence of intensity noise of laser light emerges in a known fashion, particularly when targeting rough surfaces with laser light. The backscattered light here has grainy granulation in the brightness.
The grainy interference phenomena are denoted “speckled patterns” of scattered light or simply “speckles”, which phenomena can be observed when illuminating optically rough object surfaces with sufficient coherence in both time and space for causing this phenomenon. The unevenness of the light-scattering surfaces causing this has dimensions here of an order of magnitude of between the wavelength of the laser light and a few 10 μm.
Speckles are generated when highly coherent light radiation is incident on inhomogeneous surfaces; in the current case onto objects with a rough surface; the light is subsequently transmitted or reflected and propagates in the direction of the detector. The scattered light exhibits the aforementioned granulation. The scatted radiation has an irregular field and intensity distribution and an approximately cigar-like shape in the propagation direction (regions with high energy density). Then, a granular intensity distribution is observable on the reception lens of the distance sensor. The received power, and hence the reception signal, varies irregularly when the scanner with the laser beam is moved over the object to be measured. This effect provides an unnatural brightness reproduction of the object. Moreover, the distance measurement values are noisy.
The German term “speckle”, which is used both for an individual light spot and for the whole interference pattern, is derived from the English word “speckle”. Depending on the employed imaging system, a distinction is made between “subjective” and “objective” speckles: if the speckles are imaged directly onto a screen or a camera without the aid of a lens element or other optical devices, this is referred to as “objective” speckle.
The speckle distribution or the change therein can easily be observed in the case of “objective” speckles by means of a paper sheet as a projection surface in the surroundings of the surface illuminated by the laser. The mean dimensions of the speckles in these interference patterns are primarily determined by the wavelength of the coherent excitation light, the diameter of the excitation light beam or, equivalently thereto, the size of the illuminated area and the associated geometry.
By contrast, imaging the interference pattern with the aid of an optical system—this includes the human eye—is involved in the case of “subjective” speckles. If the light pattern generated by a scattering object is imaged by means of an optical system, the speckle pattern in the image is referred to as “subjective” and the mean speckle dimension then is dependent on the optical parameters of the imaging system, such as e.g. the focal length f and the pupil diameter de.
If the light source has a plurality of modes M, for example in a manner like pulsed Fabry-Perot (FP) laser diodes, M on average independent speckle fields are created. These M fields superpose incoherently, the intensities sum and the variation of the reception signal strength when scanning the laser beam over the target object is reduced by a factor of the square root of M. In the case of a spectrally broadband light source, such as e.g. a superluminescent diode (SLD), this smoothing effect is amplified since the spectrum is broader than in the case of conventional multimode laser diodes and, moreover, the spectrum of an SLD does not have gaps.
The typical dimension of the speckles at the point of the reception pupil, but also at the field stop in the case of the reception diode, can be calculated. The mean speckle diameter is approximately:
Here, “Dist” means the distance between the illuminated surface and the reception pupil and “dspot” means the beam diameter on the illuminated surface.
In the case of close targets, the speckles tend to have fine granulation; this increases with increasing distance. If the measurement light of the laser is focused to infinity, it is possible to observe that the speckle dimension no longer increases anymore after a distance of a few 10 m and it assumes approximately the extent of the transmission beam in the transmission pupil.
d
speckle
=d
TX
In order to be able to describe speckles quantitatively, it is necessary to consider the electromagnetic field of the light scattered back from a rough surface in more detail. Here, the electromagnetic field varies in amplitude and phase. Mathematically, such phasors are described in complex form as a combination of a real and an imaginary field component, wherein, in the simplest case, both can be assumed as distributed in accordance with a Gaussian function by way of the scattering process. The associated distributions of the magnitude of the field amplitude and the phase are Rayleigh distributions or “equal” distributions. The distribution density function of the intensity of scattered, coherent light at one point of the reception aperture is negatively exponential:
Here, “I” means intensity measured at a point and “Im” means the mean value of the intensity of the radiation field. The contrast CON of such monochromatic radiation measured with a punctiform detector is CON=1.
There are a number of conventions for defining the speckle contrast. A frequently employed one is the following, which shows the relationship with the signal-to-noise ratio:
In the case of monochromatic laser light, like in the case of a DFB laser diode, M=1. Therefore, the contrast CON is 100% and the intensity measured at various points scatters by 100%. This value of the normalized brightness scattering is easy to derive by means of the associated statistical distribution density of the intensity (negatively exponential distribution).
In the case of a light source with a plurality M of modes, the contrast, and hence the intensity noise, decrease proportionally to the square root of M.
In the case of such a light source with a plurality of modes M, for example in a manner like pulsed Fabry-Perot laser diodes, M on average independent speckle fields are created. These superpose mainly incoherently, the intensities sum and the variation in the reception signal strength when scanning the laser beam over the target object reduces with root M.
The following equation specifies the distribution density of the intensity at a measurement point for a light source with M modes. This equation also applies to a spatial averaging process, as occurs in the case of a large reception aperture with M lateral correlation cells, i.e. there are M speckles in the reception aperture.
Here, Γ(M) denotes the gamma function.
Here, the depth roughness of the surface of the target object likewise plays a role. If the surface only has little roughness or if the transverse condition of the surface is too uniform (transverse correlation length), then the phases of the back-scattered partial waves of the electromagnetic field do not decorrelate sufficiently and the speckles indicate a residual brightness variation which lies between the exponential distribution and a Rice distribution with well-smoothed speckles.
The transverse dimension of the laser point on the target object also influences the quality of the measured point clouds. The observed dimension of the brightness spots, but also the regions of the distance errors (<0.5 mm), even if these are only small, when measuring homogeneous surfaces also have a relationship with the dimension of the laser point on the scanned object. In the case of an object scan, the laser beam is scanned over the surface, with the speckle pattern changing on the detector of the distance measurement sensor. The speckle pattern appears to change continuously but fluidly. The form of the pattern is decorrelated as soon as the laser measurement spot on the object has moved by one beam cross-section. Since a systematic distance measurement deviation is also linked to the speckle distribution, the measured surface exhibits a wavy distance deviation (bumpy surfaces).
In accordance with the prior art, distance measurement sensors for geodetic or industrial surveying instruments are generally equipped with a laser as light source. The following are typically used as lasers:
Apart from the LEDs, all of the aforementioned light sources are connected with the disadvantage of a pronounced granular intensity distribution of the light scattered back from naturally scattering or reflecting surfaces. “High radiance LEDs” have the disadvantage of a low beam density and are therefore not used for measurements on diffusely scattering targets. The modulation speed of LEDs is also limited. The shortest signal increase times are of the order of a few nanoseconds. As a result of a too low modulation bandwidth, such diodes are no longer used for signal-sensitive rangefinders with a high accuracy.
Since speckles are a special phenomenon of spatially and time-coherent illumination, the speckle contrast and speckle influence can be reduced by various measures. By way of example, the following techniques are known for reducing speckles:
Since the light spot on the target object should be as small as possible, a reduction of the spatial coherence is generally not possible provided the object is not arranged very close and the transmission optical unit is focusable in such a way that the light spot maintains a sufficiently small extent on the target object. (The phrase “sufficiently small extent” in this case should be understood to mean a dimension which is still much larger than the diffraction limit of the light).
On the other hand, a time-dynamic diffuser can reduce the spatial coherence. Here, for example, the dynamic diffuser can be embodied as a moved hologram, a vibrating phase object, a liquid crystal, as an optical phase shifter or as an EO phase modulator. However, a disadvantage of all these processes is that these increase the beam divergence. In particular, a constant phase shift across the whole beam cross section is not expedient in the diffraction far field due to the structures of the speckles which are elongate in the scattering direction.
Some methods are connected with time averaging of speckle fields, for the purposes of which a certain amount of integration time is required. However, since scanning is used as a very quick measurement process with a measurement rate of typically 1 Mpts/s or more, these averaging processes are not employable.
As a further process, a speckle reduction can be obtained by observing/measuring an extended reception aperture in the case where more than one speckle is covered by the reception aperture. The graininess of the light spot at the detector surface becomes finer using an integrated intensity over a plurality of speckles. This intensity integrated at the reception diode has a reduced variation in the intensity.
However, since the size of modern surveying instruments is becoming ever smaller, effective averaging on its own, and hence the speckle reduction, is insufficient.
An object of the invention lies in providing a light source for a surveying instrument, in particular a laser scanner, a profiler or a theodolite, by means of which the disadvantages connected with a highly coherent light source, in particular the generation of speckles and falsification of distance measurements and images of an object surface to be measured resulting therefrom, are avoided or at least minimized and by means of which a measured distance noise is minimized. Here, it is also an object of the invention to simultaneously enable a highly precise measurement of the surface.
A further object of the invention lies in suppressing speckle-induced intensity noise in order to obtain an image which is as close as possible to reality with a non-falsified brightness distribution of the object.
These objects are achieved by the subjects of the independent claims. Advantageous developments can be gathered from the subjects of the dependent claims.
The invention relates to an electro-optical rangefinder for a surveying instrument, in particular for a laser scanner, laser tracker, profiler, theodolite or total station.
In this case, the rangefinder comprises light emission means for emitting at least one light signal, in particular for emitting a light pulse, and a receiver for detecting the light signal scattered back from a target object. The distance to the target object is determined using a control and evaluation component, for example on the basis of the pulse time-of-flight measurement method.
In contrast to the prior art, the light emission means according to the invention are constructed from at least one spectrally broadband light source (i.e. a semiconductor component emitting spectrally broadband light) as a primary light source and an optical amplifier disposed downstream of the primary light source, for which the primary light source therefore serves as seed source.
In particular, an actively pumped medium of the optical amplifier serves as a light amplifier without a resonator (i.e. there is no optical resonator). Here, the optical amplifier can be provided and embodied to be operated with a modulation sequence with a short and/or long duty cycle.
According to the invention, the seed source for the optical amplifier (which, in particular, is embodied as a fiber amplifier) can advantageously be a superluminescent diode (SLD) with a spectral width of between 7 nm and 50 nm (in particular, wherein the spectrum is then covered substantially without gaps within this width).
Thus—in general—the primary light source which comes into question as seed for the optical amplifier can, in particular, be a diode (e.g. superluminescent diode or high radiance LED), which is similar to a laser diode in terms of design but embodied without laser resonator (or cavity).
However, alternatively, it is also possible, according to the invention, to use a multimode laser diode as a primary light source (i.e. as seed for the optical amplifier) (e.g. a Fabry-Perot laser diode with multimode emission). Thus, in particular, the primary light source can be embodied as a semiconductor laser diode which emits a plurality of modes and polychromatic light with a plurality of spectral lines. Specifically, the primary light source can also be embodied as a broad stripe laser diode or VCSEL (vertical cavity surface emitting laser) laser diode, which emits spatially multimode and polychromatic light, in particular with a spatial emission width of between 10 μm and 300 μm.
Within the scope of the invention, the primary light source of the distance measurement light emission means employed can—in accordance with a first option—respectively be directly modulated itself (i.e. directly controlled electrically by the corresponding electric current by means of which the employed light-emitting semiconductor component is operated). However, on the other hand, it is also possible to use an external modulation, wherein the emitting diode (i.e. the primary seed light source) is operated in continuous mode and the emitted light is then optically modulated by an “external instrument” (such as e.g. an acousto-optical modulator AOM or electro-optical modulator EOM) (cf., for example, “externally modulated LED”).
By way of example, the light pulses required for a pulse time-of-flight measurement can then be generated by both modulation options, in particular—for example—wherein, as a result thereof, pulses are then emitted with a repetition rate of between 500 kHz and 10 MHz.
Furthermore, the seed light source can for example also be operated in a burst mode, wherein, as a result thereof, a reduction of the influence of the chromatic delay on the distance measurement is obtainable.
According to the invention, in order to ensure the highest possible local measurement resolution, it is in particular those light sources that come into question for the distance measurement which emit in a spatial single-mode manner or in a mode combination which approximately corresponds to a profile of a TEM00 mode. Instances of time averaging are also sophisticated so as also to enable a quick measurement with a measurement rate of one megahertz or more. If, moreover, each measurement point on the target object is still intended to be recorded by means of a single laser pulse, then it is only possible to contemplate a time-parallel process for reducing the speckle contrast or speckle noise.
In accordance with the concept according to the invention, this is achievable by a significant spectral broadening of the light source (compared to conventional laser sources emitting coherent light).
In particular, as already mentioned previously, a superluminescent diode (SLD) should, according to the invention, be used as primary seed light source. Depending on the type, the spectral widths are between 7 nm and 50 nm. The choice of an SLD, in which the spectrum exhibits no gaps, as a result of which a particularly efficient noise suppression of the speckles is made possible, is particularly advantageous in this case.
However, as sole light sources, SLD light sources are not sufficiently powerful for an application in distance measurement technology. The currently strongest light sources achieve less than 50 milliwatt. By contrast, regular laser diodes achieve powers up to watt, broad stripe lasers achieve powers up to several 100 watt and VCSEL arrays achieve powers of more than 1000 watt.
According to the invention, in order to ensure that the light emission means generate a sufficiently high power, an optical amplifier is disposed downstream of the SLD.
Essentially, three types of optical amplifiers are available:
In principle, according to the invention, actively pumped media without resonators can serve as light amplifiers.
The most efficient amplifiers are glasses or crystals doped with rare earth metals. Raman amplifiers have an amplification that is less by approximately 20 dB and are therefore less suitable; the semiconductor-based (InGaP, GaAs, InGaAs, . . . ) amplifiers (SOA) are not sufficiently strong for pulsed operation with a short duty cycle either. A special variant of the amplifiers based on rare earths are the optical fiber amplifiers. These are particularly efficient and have a compact form.
According to the invention, an SLD as primary light source is therefore preferably combined with a fiber amplifier. Here, Y, Yb, Pr, Ho, Tm or Er can be used as dopant. Co-doping is also possible, for example with Pr and Ho. Using this, amplification in additional wavelength ranges is achievable.
Advantageously, it is possible to select such a fiber amplifier which has a fiber core diameter that is greater than the diffraction limit, in particular with a so-called “large core” fiber. Hence, the light emitted by a seed source with a large emission surface (i.e. light, which is emitted by a primary light source with a large emission surface) can also be efficiently coupled into the amplifier.
In order to achieve the object of the present invention, light emission means with a combination of an SLD (or an area-emitting high radiance LED) and a fiber amplifier in particular offer the following advantages:
Here, a “TOF” modulation is understood to be a modulation with single shots or a few shots per measurement point with a small duty cycle between the burst packets or modulation pulses (for a distance measurement according to the pulse time-of-flight principle). Here, a “phase” modulation is understood to mean a modulation with continuous wave-like, periodic or pseudo-periodic shots with a large duty cycle, i.e. small pauses, between the modulation pulses (for distance measurement which, in principle, is brought about according to the principle of the phase measurement).
A plurality of SLDs can also be disposed upstream of the fiber amplifier as seed.
From this, e.g., the following effects emerge:
Even in the case of surfaces with a low roughness, this still has a good, i.e. high, signal-to-noise ratio (SNR). This is because the correlation among the back-scattered radiation (phasors of the scattered spherical or dipole waves) increases with decreasing standard deviation of the roughness. However, the broad spectrum of the light source according to the invention counteracts this correlation.
An alternative or additional or complementary measure according to the invention for reducing the contrast relates to speckles in the reception pupil of the rangefinder.
The mean speckle diameter dspeckle at the location of the reception pupil is approximately:
If the measurement light of the laser is focused to infinity, it is possible to observe that the speckle dimension dspeckle no longer increases anymore after a distance of a few 10 m and it assumes approximately the extent of the transmission pupil dTX.
d
speckle
=d
TX
Therefore, a speckle reduction can be achieved by using a reception aperture (RX aperture) that is much larger than the transmission aperture (TX aperture). The many speckles captured simultaneously thereby contribute to an averaging of the intensity. By way of example, if M speckles are directed onto the detector, the scattering of the signal reduces with the square root of M. If the reception optical unit is focused not onto the target object but onto an infinitely large distance, many scattering agents of the rough surface are within the Airy resolution of the point spread function of the reception optical unit. As a result, the whole transmission light spot becomes visible on the target object and a larger area or extent contributes to possible phase decorrelation. As a result of the extended field of view, the area illuminated overall and hence a larger number of laterally decorrelated scattering agents at the object contribute to the space point formed by the detector. Hence, there is an averaging process of the speckle-caused signal variation.
A combination of the two inventive steps (SLD/LED and large reception aperture) generates a reception signal with less noise and a good signal-to-noise ratio, in particular due to, firstly, a reduced granulation of the stray field and, secondly, a reduced intensity noise as a result of additional averaging on the detector.
The intensity scattering on the receiver reduces with an increasing number of laser modes or spectral lines. This can be seen by narrower distribution curves in intensity histograms, which are placed ever more tightly around the mean intensity.
According to the invention, an approach for reducing contrast emerges from this fact: this is because a statistically comparable averaging effect is also generated when receiving a number of speckles simultaneously by means of a large receiver area, as already described above.
An integrating effect over the speckles incident in the reception lens is generated with an increasing number of speckles in the reception pupil. As a result, the brightness variation of the reception signal is reduced. Hence, the speckle contrast is also reduced and the signal variation weakens.
The statistical calculation of the associated contrast function leads to the same formula as specified above; here, M represents the number of speckles in the reception pupil or on the field stop (M=number of speckle correlation cells within the measurement reception aperture).
Therefore, in accordance with one embodiment, the distance measuring device according to the invention is equipped with a reception aperture or reception pupil that is as large as possible compared to the transmission aperture. What this ensures is that, to a first approximation, a large number M of speckles are received practically independently of the distance range. As a result, the speckle contrast is reduced or, equivalently, the signal-to-noise ratio (SNR) is increased. Using this measure, more natural images with low brightness variations are measured. The distance measurement also exhibits smaller variations in the registered distance values.
The roughness of the objects also influences the brightness distribution of the speckles. The rougher the surface, the more uniform the reception light, but only up to a certain limit which precisely also depends on the polychroism of the light source and the size of the reception aperture.
The transverse dimension of the laser point at the target object also influences the quality of the measured coordinates and hence of the point clouds.
This can be explained as follows: the pulsed, or otherwise modulated, light sources of rangefinders have a so-called chromatic delay. This delay describes the distance offset as a function of the light source wavelength. Since each mode or each wavelength generates its associated speckle field and the speckle distribution also depends on the roughness of the irradiated surface, there is also an influence on the distance offset. Hence, the wave-like distance deviations are generated by way of the chromatic delay and the respective speckle distribution. If the laser point is now displaced over the target object by at least one beam diameter, a newly structured granular light field and hence a distance deviation which is uncorrelated to the preceding measurement are created.
Using the light source according to the invention for rangefinders, which comprises an SLD and a fiber amplifier in a special embodiment, both the intensity variations of the speckles and the effect in relation to the generation of the wave-like distance deviations are strongly weakened. The spectral width Δλ of an SLD is substantially approximately 10 times wider than that of laser diodes. Moreover, the spectrum is without interruptions. This continuity increases the reduction in the speckle contrast.
For an exemplary calculation, the following parameters are assumed:
λo:=660·10−9 Δλ:=30·10−9 σh:=500·10−6
Here, λo is the mean wavelength, Δλ is the spectral width of the light source and σh is the depth roughness of the target surface.
Hence, the following emerges as a brightness contrast:
Thus, the intensity variation is only 4.8% instead of 100% for highly coherent radiation.
The approximation formula above applies for an assumed Gaussian-distributed spectrum and an assumed Gaussian-distributed roughness of the surface. The formula also shows for the case of a spectrally broadband (Δλ) light source such as the SLD that, in turn, the surface roughness σh also contributes to reducing the contrast.
If the SLD is modulated by sub-nanosecond pulses, then the chromatic delay, which also influences the absolute distance measurement accuracy, is also small. As a result, no, or at least strongly attenuated, wave-like distance deviations can be obtained.
Surprisingly, the spatial coherence at the location of the detector does not disappear in the limit case of a white-light source. The remaining spatial contrast function (visibility) is described by the Van Cittert-Zernike theorem known from astronomy. The arrangement according to the invention is characterized by a middling situation between this incoherent illumination and a coherent illumination.
Below, the invention is described in more detail in a purely exemplary manner on the basis of specific exemplary embodiments depicted schematically in the drawings, with further advantages of the invention also being discussed. In detail:
Here—as is sufficiently well known from the prior art—the receiver 3 can be constructed with a detector, e.g. an avalanche photodiode (APD), and signal processing electronics disposed downstream of the detector.
In a special embodiment, the design can also furthermore have a reception diode consisting of a plurality of segments, in particular a multi-segment PIN diode or APD. Such a design of the reception diode for a rangefinder is described, for example, in the European patent application with the application number EP14185404.2 (filed at the EPO on 18 Sep. 2014).
As is likewise, in principle, already known from the prior art, the receiver (i.e. the optical reception path) can be equipped either with a fixed focus or with an autofocus.
As explained in the schematic diagram in
If the light source has a plurality of modes M, for example in a manner like pulsed Fabry-Perot laser diodes, then M on average independent speckle fields are generated. These superpose incoherently, the intensities sum and the variation of the reception signal strength when scanning the laser beam over the target object is reduced by the square root of M.
The distribution density is calculated as follows:
The intensity scattering on the receiver reduces with an increasing number of laser modes or spectral lines.
This is visible from narrower distribution curves, which are placed ever tighter around the mean intensity.
The roughness of the objects therefore influences the brightness distribution of the speckles. Increasing roughness of the surface is accompanied by a more uniform reception light, but only up to a certain limit which precisely also depends on the polychroism of the light source and the size of the reception aperture.
Here,
Quantitatively, this impression is confirmed by the frequency distribution of the speckles in
For a comparison with
Fiber amplifiers are generally operated with a DFB laser diode as “seed laser” in order to suppress the amplified spontaneous emission to the best possible extent. However, DFB lasers are disadvantageous in that they generate a strong speckle contrast. Therefore, according to the model according to the invention, it is preferable to use a seed source with a spectrally broadband emission.
Expressed more precisely: “chromatic delay” describes the wavelength-dependent time-of-flight of a light pulse. Since wavelengths are assigned to the speckles and a specific distance offset is, in turn, assigned to each wavelength, each speckle field generates an inherent measurement distance. The intensities connected to the speckle patterns, which impinge on the distance measurement receiver, are stochastically distributed and vary depending on surface and distance; this leads to measured apparent distance variations when moving the laser beam over the object to be scanned.
Therefore, the wave-like distance deviations at measured surfaces (i.e. in the measurement data) are generated by means of the chromatic delay and the respective speckle distribution.
The “chromatic delay” of semiconductor laser diodes and of superluminescent diodes (SLDs) can on average be significantly reduced by way of a so-called burst modulation. Here, it is not a single light pulse that is emitted in the nanosecond range, but rather a whole pulse train within the same period of time. This requires a special electronic actuation, which is implementable by means of chip-on-board technology.
The optical waveguide of the fiber amplifier 14 and the subsequent output fiber 18 are generally embodied as spatial single mode optical waveguides. However, what have also become known and available in the meantime are optical waveguides which have a core diameter that is greater than the diffraction limit (large core fiber) and nevertheless generate an almost pure fundamental mode emission; this is achieved by a strongly reduced inter-mode scattering behavior and, as a result, the fiber fundamental mode is maintained over a length of up to a few meters of fiber length. The fiber core diameter can in this case lie up to approximately 3× over the mono-mode condition, which corresponds to a core radius of 15 μm in the case of a wavelength of 1.55 μm. Such “large mode field” optical waveguides are advantageous in that light can be effectively coupled into the core of the amplifier fiber, even with planar-emitting LEDs or broad stripe laser diodes. Broad stripe lasers have a multimode line spectrum with a continuous LED-like emission component lying therebelow; this effectively reduces the speckle contrast.
In addition to SLDs, other light sources with partial or lacking coherence, such as VCSELs, OLEDs, high-radiance LEDs or miniaturized gas discharge lamps, which are used e.g. in smart phones, are also suitable as primary light source 11.
In typical distance measuring devices, the mean speckle dimension approximately corresponds to the transmission aperture TXA, at least at medium and large distances. If the reception aperture RXA is designed to be substantially larger than the transmission aperture TXA such that M speckles are recorded therein, then there can be an averaging process over M speckles and the relative intensity variation is reduced by the square root of M. As a result, the speckle noise is reduced by the square root of M.
It is understood that these depicted figures only schematically illustrate possible exemplary embodiments. The various approaches can just as easily be combined with one another as with methods and instruments from the prior art.
Number | Date | Country | Kind |
---|---|---|---|
14196329.8 | Dec 2014 | EP | regional |