The present invention relates to nondestructive inspection of surfaces, and in particular to the optical inspection of semiconductor wafers for defects.
Optical inspection of semiconductor wafers is a critical requirement for process development, manufacturing ramp-up, yield improvement and ongoing quality control. While the focus of this disclosure concerns semiconductor wafer inspection, the innovations herein can also be applied to other areas as well, such as flat-panel and memory media inspection.
In semiconductor manufacturing, optical inspection is often performed on bare wafers, where the primary defects of interest are particles, pits and scratches. Particles constitute unwanted contamination. Pits in bare silicon wafers are crystal-originated particles (COPS) that are octahedral voids in Czochralski-grown silicon that have been exposed on the surface by the polishing process. In addition, planarized or essentially unpatterned wafers with blanket layers or films are often inspected for micro-sized defects (particles, pits, scratches) after certain process steps, such as deposition and planarization. Also detected in optical inspection is haze, which is primarily scattering from surface micro-roughness.
At present, semiconductor manufacturers are working at the 60 nm technology node where the average transistor line width is 60 nm. Leading-edge manufacturers are beginning to ramp up the 45 nm technology node and plan to ramp up the 32 nm technology node in the next 2 to 3 years. Thus current IC technologies require the detection of micro defects in the 60-45 nm range and will require the detection of micro defects in the 30 nm range within the next several years. In addition, the detection technologies ideally are capable of detecting at least 95% of the defects (a defect capture rate of 95%) with less than 1 part per million (1 ppm) of false counts. Furthermore, to make such an inspection economically viable, the throughput of the inspection system ideally is at least 60 wafers per hour (60 wph). The detection of such small defects on a 300 mm wafer by optical means at such high throughputs and accuracies is a major challenge.
A common way for performing micro-defect inspection on unpatterned wafers is to use a focused probe beam, typically a laser beam, incident at an oblique angle, and to detect the light that is scattered from a micro defect with a dark field configuration (polar scatter angle different from specular direction) or double-dark field configuration (both polar and azimuthal scatter angles different from specular direction). The scattered light is collected by one or more collectors that then direct the light to fast photomultiplier tubes (PMT's).
The wafer is scanned under the illuminating area, usually in an R-θ scanning mode whereby the entire wafer surface is scanned in a spiral pattern. The capability of inspection systems to detect defects is usually calibrated by their ability to detect known sizes of polystyrene latex (PSL) spheres on silicon wafers. Examples of optical inspection systems for unpatterned wafers can be found in U.S. Pat. Nos. 4,314,763 (Steigmeier et al), 5,343,290 (Batchelder et al.), 5,861,952 (Tsuji et al.), 6,081,325 (Leslie et al.), and 6,271,916 (Marxer et al.), which are all incorporated herein for all purposes by reference.
An analysis of light scattering from particles smaller than 200 nm on silicon wafers reveals that the scattering from the particles is predominantly Rayleigh scattering, and thus varies as d6/λ4 (where d is the particle diameter and λ is the laser wavelength). In addition, the best sensitivity for such small particles is obtained with p-polarized light that is incident between 45°-65° relative to the wafer surface normal. For particles, scattering is preferentially at fairly large polar scattering angles relative to the wafer surface normal, while for pits it is preferentially at small polar scattering angles.
Current systems used for micro-defect inspection on unpatterned wafers typically use laser radiation at wavelengths lower than 500 nm and incident at about 60°-70° with p-polarization. The laser light is focused down to an illuminated spot in the form of a stripe that is about 25×50 μm in size where the 50 μm length is in the radial R direction of the R-θ scan. This means that a particle or defect is detected as it traverses the width of the illuminated stripe at the wafer surface. The light scattered from the surface of the wafer is typically collected by two separate collectors. One collector, which is typically a reflective elliptical collector with axis of symmetry normal to the wafer, collects scattered light over a polar range of 25°-70° relative to the wafer surface normal and over an azimuthal angle range of close to 360°, a configuration that is more sensitive for particle detection. A second collector, which is typically a low-NA lens, collects light from 0° to 25° relative to the wafer surface normal, and is more sensitive for pit detection. Some current systems use UV or DUV lasers with wavelengths such as 355 nm or 266 nm. This has two major advantages: it provides greater sensitivity thanks to the 1/λ4 effect, and it also eliminates interference effects from underlying layers when working with engineered wafers such as SOI and SIMOX, because thin epitaxial Si is opaque at both wavelengths.
Current systems are able to detect micro defects larger than 35 nm with a 95% defect capture rate and less than 1 ppm false counts at a throughput of 60 wph. However they have considerable difficulties in detecting particles smaller than 35 nm at the required performance specifications. The marginal performance of current systems at 35 mm will become much worse at the smaller defect levels of the 32 nm technology node and at future IC generations.
In micro-defect inspection of unpatterned wafers, the major sources of light scatter are surface micro-roughness (i.e. haze), illumination beam induced Rayleigh scatter from ambient air and localized defects such as particles, pits, scratches, etc. Haze is an area scatter effect since it comes from everywhere on the wafer surface and varies relatively slowly with wafer position. Rayleigh scatter is a volume scatter effect since it comes from the illuminating volume and it also varies relatively slowly with wafer position. In contrast, localized defects can be considered as transient point scatterers as they traverse the width of the illumination stripe at the wafer surface. As the design rules move to smaller dimensions, it becomes necessary to detect ever smaller point defects. Even though surface quality also improves with the smaller design rules, it becomes more and more difficult to detect these smaller point defects in the presence of haze at a reasonable wafer throughput. This is primarily a result of the fact that the amount of light scattered by a point defect, that is smaller than the wavelength of the laser light, varies as d6 where d is the diameter of the defect, and thus the scatter signal from a point defect decreases rapidly with decreasing defect size. On the other hand, the amount of light scattered by surface micro-roughness varies only as σ2 where σ is the rms roughness of the surface. Thus even if σ decreases at the same rate as d, the haze signal falls off much less rapidly than the particle signal as the design rules decrease. Furthermore, the haze signal comes from the entire illuminated area (25×50 μm stripe in current systems), while the point defect signal essentially comes only from a diffraction-limited spot, typically 1 μm, within the illuminated area. Thus for many wafer surfaces, particularly those that have films or layers, the haze signal is generally much larger than the particle signal, and this difference in the strengths of the two signals increases rapidly as the design rules decrease.
There is an additional background signal that comes from ambient Rayleigh scattering of the incident laser light. This is the result of scattering from the air molecules in an air volume above the wafer surface that is defined in area by the field of view of the collecting optics and in depth by the distance parallel to the normal to the wafer surface that is traversed by the incident and reflected laser beams. Although this background signal is usually smaller than the haze signal, it is not insignificant.
Thus there is a continuing need to develop a more sensitive optical inspection system for samples such as unpatterned wafers that can meet some or all of the inspection criteria of future design rules (e.g. 95% defect capture rate, <1 ppm false counts, 60 wph throughput at the 32 nm technology node and beyond, etc.).
The present invention solves the aforementioned problems by providing a system and method for improved particle detection, which more reliably detects particles of smaller size with high throughput than conventional systems.
An inspection system for inspecting a sample surface includes a light source for generating a probe beam of light, one or more first optical elements for focusing the probe beam onto a sample surface, wherein the sample surface scatters the light forming a scattered probe beam that is captured by the one or more first optical elements, one or more second optical elements for imaging the scattered probe beam onto a detector, wherein the detector includes a plurality of detector elements that generate output signals in response to the scattered probe beam, and a processor for analyzing the output signals to identify defects on the sample surface.
In another aspect, an inspection system for inspecting a sample surface includes a light source for generating a probe beam of light, one or more first optical elements for focusing the probe beam onto a sample surface via normal incidence illumination, wherein the sample surface scatters the light forming a scattered probe beam that is captured by the one or more first optical elements, and wherein the one or more first optical elements has an effective focusing NA for the probe beam of at least 0.5, one or more second optical elements for directing the scattered probe beam onto a detector that generates output signals in response to the scattered probe beam, and a processor for analyzing the output signals to identify defects on the sample surface.
In yet another aspect, an inspection system for inspecting a sample surface includes a light source for generating a probe beam of light, one or more first optical elements for focusing the probe beam onto a sample surface via normal incidence illumination, wherein the sample surface scatters the light forming a scattered probe beam that is captured by the one or more first optical elements, one or more second optical elements for directing the scattered probe beam onto a detector, one or more third optical elements for directing a reference beam to the detector, wherein the detector generates output signals in response to the scattered probe beam and the reference beam, and a processor for analyzing the output signals to identify defects on the sample surface.
A method of inspecting a sample surface includes generating a probe beam of light, focusing the probe beam onto a sample surface using one or more first optical elements, wherein the sample surface scatters the light forming a scattered probe beam, capturing the scattered probe beam with the one or more first optical elements, imaging the scattered probe beam onto a detector, wherein the detector includes a plurality of detector elements that generate output signals in response to the scattered probe beam, and analyzing the output signals to identify defects on the sample surface.
In yet another aspect, a method of inspecting a sample surface includes generating a probe beam of light, focusing the probe beam onto a sample surface via normal incidence illumination using one or more first optical elements, wherein the sample surface scatters the light forming a scattered probe beam, and wherein the one or more first optical elements has an effective focusing NA for the probe beam of at least 0.5, capturing the scattered probe beam with the one or more first optical elements, directing the scattered probe beam onto a detector, wherein the detector generates output signals in response to the scattered probe beam, and analyzing the output signals to identify defects on the sample surface.
In still yet another aspect, a method of inspecting a sample surface includes generating a probe beam of light, focusing the probe beam onto a sample surface via normal incidence illumination using one or more first optical elements, wherein the sample surface scatters the light forming a scattered probe beam, capturing the scattered probe beam with the one or more first optical elements, directing the scattered probe beam onto a detector, generating a reference beam, directing the reference beam to the detector, wherein the detector generates output signals in response to the scattered probe beam and the reference beam, and analyzing the output signals to identify defects on the sample surface.
Other objects and features of the present invention will become apparent by a review of the specification, claims and appended figures.
Described herein is a high-sensitivity wafer inspection system and method that provides improved surface detection accuracy and throughput. An optical configuration of the system is illustrated in
Light scattered from sample surface 14 is also collected by lens 36 in the form of a scattered probe beam 16, and is directed to image relay lens 50 by spatial filter 46. Spatial filter 46 illustrated in
Image relay lens 50 images the illumination stripe 38 onto a multi-element detector 52, having a plurality of detecting elements or pixels 53. The detector 52 generates an electrical signal in response to the detected light, which is sent to a processor 54. The electrical signals generated by the detector pixels 53 are composites of several signals, including transient signals generated by point defects (point defect signals) as well as background signals (e.g. haze and ambient Rayleigh scatter). An optional adjustable incident beam polarizer 30 provides a means to improve scatter light intensity which is a function of incident polarization. An optional adjustable collected scatter light polarizer 48 provides a means to improve the scatter signal to noise ratio, for example, by rejecting incident polarizations (i.e. polarizers 30 and 48 are oriented in a cross polarizer configuration). A rotating chuck 60 firmly holds the sample 14 and is used to spin the sample. The chuck 14 is rotated by rotary stage 62. Either the rotary stage 62 is translated by linear stage 64, or the lens 36 and its associated optics translate probe beam 12, so that the illuminated spot can be scanned across the entire wafer surface in a spiral pattern.
An alternate optical configuration of the system is illustrated in
It should be noted that a system could be configured to combine both on-axis and off-axis capability. The user would be able to select either configuration. The spatial filters 46, 47 and the position of the illumination spot 34 onto lens 36 would be user-selectable with appropriate opto-mechanical mechanisms implemented to facilitate the movement of the beam position relative to lens 36 and spatial filter selection. Such opto-mechanical mechanisms are well known to one skilled in the art.
The haze signal can be considered as a DC background signal upon which is superimposed some transient pulses representing the point defect scatter signals. The detector converts these various scattered light signals into electrical currents. To detect the point defect current signals, ip, in the presence of the haze current signal, ih, it is important that the point defect current signal, ip, be greater than the peak-to-peak magnitude of the shot noise from the haze signal, i.e., ip>3(ih)n, where (ih)n is the rms shot noise from the haze signal and is given by,
(ih)n=(2qBih)1/2 (1)
where q is the electron charge and B is the measurement bandwidth. For a defect capture rate of 95% and a false count of <1 ppm, ip should be greater than about 6(ih)n. A typical industry value, under the condition where the primary noise source is the shot noise from the haze signal, is that ip>8(ih)n. As stated earlier, the signal from the point defects decreases much faster than the signal from the haze as the design rule decreases. Thus, since ip decreases much faster than ih, the criterion that ip>8(ih)n becomes ever harder to fulfill as the design rules decrease.
There are a number of improvements described herein that can be employed to mitigate this situation, including 1) increase the intensity of the light by reducing the area of the illuminated spot on the wafer, 2) achieve acute angle incidence rays with normal incidence illumination beam, 3) utilize cross polarization, 4) image the light from the sample onto a multi-element array detector, 5) employ interferometric detection techniques such as homodyne or heterodyne detection.
Reduced Illumination Area
Changing the optical intensity (power per unit area) of the probe beam 12 at the wafer through modifications in the size and/or shape of the illuminated spot on the wafer can dramatically increase sensitivity. The relative scattering power from a point defect varies directly as the laser intensity incident on the defect. Thus, for a constant laser power, ip will increase as the illumination light intensity increases, that is, as the illumination area decreases. On the other hand, the relative scattering power from haze, and thus ih, is dependent only on laser power and is independent of the illumination area. Thus decreasing the illumination area increases the scattering from the defect thereby increasing the defect signal but does not affect the scattering from haze and thus does not change the noise. Since the rotation frequency of a 300 mm wafer is typically limited to about 100 Hz, it is preferable to maintain the length of the illumination stripe on the wafer surface to at least 25 to 50 μm. Thus a meaningful decrease in illumination area requires a sizable decrease in the width of the stripe. This then implies a large length/width aspect ratio for the stripe. An aspect ratio of at least 5 is preferred. However, it is very difficult in practice to decrease the illumination spot size below 10×50 μm when the probe beam is directed at the wafer through focusing optics separate from the scatter collection optics, at a fairly large angle of incidence, such as 60°-70°, as is commonly done now.
One method to achieve a much smaller illumination area is to utilize “normal incidence illumination” (which means that the probe beam 12 enters the focusing lens 36 in
Another advantage of using a high-NA lens with normal incidence illumination is that the lens 36 can also be used as a highly efficient collector of the scattered light. For an NA>0.7, collection efficiencies of the scattered light can be achieved that are comparable to the large elliptical reflective collectors used in current systems. Using a lens with an NA of 0.95, probe rays may be generated with incidence angles that range from 0° to 72°, while scattered rays are collected over the same range of polar angles and over the full 2π azimuthal angles. This is a very efficient scattered light collector with a solid collection angle >4 steradians (which is comparable to the collection solid angles of current inspection systems that employ large elliptical reflective collectors for the scattered light). Although an example of a lens with an NA of 0.95 is described, lower NA lenses can also be used as a “high NA lens” described herein, so long as the NA is at least 0.5 (which gives a collection solid angle of about 0.8 steradians). The use of a single high-NA lens for both illumination and collection has been employed previously, but in the prior art, the illumination does not utilize the high-NA nature of the lens. Instead the probe beam illuminates only a small central region of the high-NA lens and the radius of the probe beam at the lens aperture is much smaller than the radius of the aperture (see
Yet another advantage of using a high-NA lens for normal incidence illumination is increased immunity to ambient Rayleigh scatter from the air. The field of view through the high NA lens can be reduced to the size of the illumination area at the wafer surface. Furthermore, if the lateral field of view is limited by an aperture in the confocal plane, further reduction is possible in the ambient Rayleigh signal due to the confocal reduction in the vertical field of view as well. Current inspection systems cannot limit lateral or vertical fields of view as well due to poor illumination area imaging by large elliptical reflective collectors.
High Angles of Incidence with Normal Incidence Illumination
A major change that occurs when illuminating at normal incidence through a high-NA lens rather than at an oblique angle is that the single angle of incidence that is present when illuminating at an oblique angle is now replaced by a range of angles of incidence. Referring to
where Ri is the distance of Pi from the center of the lens and R0 is the radius of the lens aperture. If the stripe at the entrance pupil of the high-NA lens is centered along the lens diameter, and the stripe length at the center is close to the aperture diameter, then the angles of incidence within the stripe at the wafer surface will range from 0° to a maximum angle of approximately θm=sin−1(NA). For a lens with an NA of 0.95, θm=72°, and thus the incidence angle range is now 0° to about 72°. However, the effect of the Gaussian profile 70 of the probe beam must also be considered. The laser Gaussian profile will concentrate most of the light power at the entrance pupil near the center of the lens 36. Thus, most of the light power will have incidence angles at the surface typically <30°. This configuration may be advantageous for some applications that prefer more normal rather than oblique illumination, such as detection of micro-scratches and epitaxial silicon defects.
However, for most micro-defect inspection applications, most of the light power at the entrance pupil should be at larger angles of incidence, typically 45°-65°, because the scattering cross-section for particles smaller than 100 nm increases with increasing angle of incidence up to about 65°. Larger angles of incidence, even with the laser Gaussian profile 70, can be achieved with normal incidence illumination by displacing the light stripe at the entrance pupil to one side of the lens 36 (i.e. away from the center of the lens), as illustrated in
The key to achieving such a narrow illumination stripe on the wafer surface is to illuminate the aperture of the high-NA lens with a stripe whose length is approximately the length of the chord of the aperture at the position of the stripe. This ensures that the rays from the maximum angles of incidence will be close to θm=sin−1(NA). As mentioned above, the minimum NA that is adequate for this application is 0.5, which can still produce a fairly thin stripe on the surface of 2-3 μm width, but a marginal collection solid angle of 0.8 steradians. Any lower NA lens is disadvantageous, not only because it would result in a larger illumination area at the wafer surface but also because the collection solid angle of the scattered radiation decreases rapidly for an NA smaller than 0.5. If a lens with an NA greater than 0.5 is used in order to increase the collection solid angle, the effective focusing NA of the probe beam should still be at least 0.5. In the present embodiment, a high NA lens (0.95 NA) is used to ensure that the effective focusing NA is also quite high (>0.9 NA) by using an appropriately long stripe at the lens aperture.
Cross Polarization
Using normal incidence illumination through a high-NA lens introduces another source of background optical signal and thus noise in addition to the haze and ambient Rayleigh background signals. This new source of background signal is the specular reflection from the wafer surface and from optical elements in the probe beam path that are directed back towards the detector. Much of this specular background can be removed by using spatial filters 46 or 47 which reflects the scattered probe 16 and allows the specular reflected probe 42 beam to pass through. As described above, this can be done with the use of a suitable spatial filters 46, 47 preferably in the Fourier plane of the lens 36, combined with various beam stops in the light path.
To remove most of the remaining specularly reflecting light, optional crossed polarizers can be used. For example, if the light incident on the lens is p-polarized (e.g. by placing a linear polarizer 30 in probe beam 12), a cross polarizer 48 (e.g. linear polarizer 48 oriented generally orthogonally to linear polarizer 30) is placed in the scattered probe beam path so that only s-polarized light reaches the detector 52 (see
Stray Light Reduction
Stray light reduction is also important to maximize signal to noise. Optical components can be optimized to reduce stray light scatter by using highly efficient anti-reflection coating(s) tuned to the laser wavelength (known as V coatings). Optical components can also be made from materials that have minimal internal scatter by reducing impurities, bubbles, etc. Optical components can also be manufactured with ultra-smooth surfaces to further reduce scatter. Stray light baffles can be used to further reduce remaining stray light.
Detector Array
In current systems employing the large elliptical reflective collectors, the scattered light is directed to a single-element detector such as a photomultiplier tube (PMT). The effects of haze from the wafer surface, of ambient Rayleigh scattering from the air and of any residual specular light from the wafer surface and from the surface of optics in the probe beam light path can be reduced further by using a multi-element array detector, such as a PMT array, an avalanche photodiode array or a fast photodiode array, located in an image plane of the high-NA lens where the illuminating stripe is imaged. Preferably a linear array detector is used with the array length oriented parallel to the stripe length, as illustrated in
A two-dimensional detector array 102 can also be used (as illustrated in
It is not the DC values of the background optical signals that is of most concern, but rather the broadband shot noise associated with these signals. Thus, the measurement bandwidth should also be considered. When the width of the stripe at the wafer surface is reduced by 25×, the transit time of the particle across this stripe is also reduced by 25×. Thus the measurement bandwidth is increased by 25×. This will increase the shot noise by 5× (see Eqn (1)).
There is a significant theoretical signal/noise improvement obtained by going from the conventional configuration (i.e. illuminating the wafer with a probe beam directed by optics external to the collection optics at an oblique angle of incidence and detecting the scattered light using a single-element detector) to the configuration described above (i.e. the probe beam illuminates the wafer using normal incidence illumination through a high-NA lens, and the same high NA lens images the scattered light from the narrow stripe on the wafer surface onto an N-element detector array). The signal from the micro defect will increase by 25× in the new configuration, with a 25× smaller illumination area, provided that the two configurations have similar light collection efficiencies. If N=50 in the multi-element detector array, the haze signal recorded by the one to two elements that have recorded the particle signal is now only 1/25 of the total haze signal from the entire stripe and thus the haze shot noise will remain the same, even though the measurement bandwidth has increased by 25× (see Eqn. (1)). Thus, the configuration described above will have a net signal/noise improvement over the conventional configuration of about 25×. This significant increase in signal/noise can enable this new high-sensitivity system and technique to detect much smaller particles than the current systems.
Homodyne/Heterodyne Detection
Above is described a direct measurement of the scattered light from point defects that is very advantageous when the haze signal is very low. However, as shown in more detail in the section Signal/Noise Ratios below, when the haze signal ih>¼ip, a better signal/noise ratio can be obtained by employing interferometric detection means, such as homodyne or heterodyne detection. Heterodyne and homodyne techniques and related calculations are known, as illustrated by U.S. Pat. Nos. 5,343,290 (Batchelder et al.) and 5,923,423 (Sawatari et al.), which are incorporated herein by reference.
These detection techniques are known, and involve mixing the scattered probe beam 16 from the wafer surface with a reference beam 128 that is generally coherent with the probe beam. In heterodyne detection, as illustrated in
As long as the reference beam power on a detector element is greater than the scattered power from either the point defect or the haze (and other background signals), the interferometric approach can provide a superior signal/noise ratio. Note that if cross polarizes are used, then it is preferable that the polarization of the reference beam be rotated by 90 degrees, for example by a half wave plate, so that the polarizations of the reference beam and the signal beam are the same at the detector surface in order to get an optimal interference.
In the absence of any Doppler shifts, the signal at the detector 52 will be given by,
Id=|Ep|2+|Eh|2+|Er|2+2|Ep∥Er|cos Ψr(t)+2|Ep∥Eh|cos Ψr(t)+shot−noise terms (3)
where Ep, Eh and Er are the optical fields for the scattered defect beam, the scattered haze beam and the reference beam 128, respectively, and t is time. Here it is assumed that the haze signal is the dominant background signal. The phase fluctuation Ψ(t) arises from the inevitable fluctuations in the optical path lengths between the particle and haze signal beams and the reference beam, respectively. The two interference terms are basically two DC terms that are generally smaller than the DC term from the reference beam, and in addition are very noisy because of the phase fluctuations. However, the scattered photons will generally exhibit some Doppler shift because the R-θ scan imparts a velocity to the scattered light from the illuminated stripe relative to the reference beam.
In the presence of a Doppler frequency shift ΔωD, the homodyne signal is given by,
Here, the two interference terms are now AC terms and this allows for AC coupling of the signal, which in turn allows for easier detection of the interference terms. Furthermore, as long as the measurement time τ>2π/ΔωD, and as long as the fluctuations in Ψr(t) are slow relative to τ, then the total phase will go through at least one full 2π cycle during the measurement time, where a suitable electronic circuit such as a rectifier or a magnitude-reading PSD (phase-sensitive detector) can then be used to obtain a stable and repeatable measure of the interference signal.
The Doppler frequency shift can be written as,
where θi, θs, φs represent the incident angle, the polar scatter angle and the azimuthal scatter angle respectively, d the width of the stripe on the wafer surface, λ the laser wavelength, ν the particle velocity across the stripe, and Δωτ is the stripe transit frequency. The absolute magnitude of the function ƒ can range from 0 to 2 depending on the incident and scattering angles. For most scattering events ΔωD will be,
Since the measurement occurs during a time interval that spans t=0 to t=τ=d/ν, ΔωDt goes from 0 to 2πd/λ. Since d>λ, ΔωDt will sweep through at least 2π and this then ensures that a rectifier will provide a stable output for the interference term irrespective of Ψr(t) which is changing slowly relatively to τ.
One can also obtain a stable interferometric signal by means of heterodyne detection. The heterodyne signal is given by,
where Δω is the frequency shift imparted to the reference beam 128 of
Signal/Noise Ratios
In order to determine if interferometric detection (homodyne or heterodyne detection) will provide greater sensitivity, the signal/noise ratio for the interferometric detection method can be compared to that of the non-interferometric or direct detection method. In the direct or non-heterodyne detection method, the signal/noise ratio is given by,
where (ih)n is the detector current due to the haze shot noise.
With interferometric detection, if it is assumed that the reference power is greater than either the scattered power from the particles or from the haze or any other background signal, then the shot noise terms in Eqn. (7) above will be dominated by the reference shot noise. The signal/noise ratio for an interferometric (homodyne or heterodyne) detection will then be given by,
where (ir)n is the detector current due to the reference beam shot noise.
Another issue of interest is a determination of when the signal/noise ratio for interferometric (homodyne or heterodyne) detection is greater than for direct or noninterferometric detection. Eqn. 9 can also be written as,
where (ip)n is the detector current due to the scattered particle beam shot noise. Taking the ratio R of the signal/noise for the interferometric (homodyne or heterodyne) detection to the signal/noise for the direct or non-interferometric detection results in:
When ih<¼ip, then R<1, while when ih>¼ip, then R>1. That is, when the haze signal is much smaller than the particle signal, one has better signal/noise with a direct non-interferometric measurement. On the other hand, when the haze signal is greater than the particle signal, it is possible to obtain better signal/noise with an interferometric (homodyne or heterodyne) measurement.
The high-sensitivity system disclosed herein has two major advantages over conventional systems. First, where the conventional system has marginal performance at the 32 nm technology node, it appears that the high-sensitivity system can meet the industry requirements of 95% defect capture rate and <1 ppm false counts (S/N=8) with a throughput of 60 wph down to at least the 20 nm technology node. Secondly, the high-sensitivity system can detect much smaller defects in the presence of moderate to high haze, a condition usually found on most processed wafers with layers or films.
It is to be understood that the present invention is not limited to the embodiment(s) described above and illustrated herein, but encompasses any and all variations falling within the scope of the appended claims. For example, materials, processes and numerical examples described above are exemplary only, and should not be deemed to limit the claims. Further, it is well known that the function of any optical element usually can be accomplished using a plurality of optical elements, and vice versa. As is apparent from the claims and specification, not all method steps need be performed in the exact order illustrated or claimed, but rather in any order that allows for accurate and efficient inspection of surfaces. While the description above and figures describe and show the homodyne/heterodyne reference beam being generated by picking off a portion of the probe beam (i.e. taking a portion of the probe beam power, taking a particular wavelength of light from the probe beam, etc.), other sources of the reference beam can be used so long as there is general coherence between the two beams. For example, the reference beam could be generated from a separate output of the same light source (e.g. the light source is a laser that produces multiple output beams from the same laser cavity), or a separate light source can be used (e.g. one light source is slaved to the other light source to achieve general coherence). Lastly, while the inspection system and techniques are described with respect to unpatterned wafers, any appropriate surface can be inspected.
This application claims the benefit of the following U.S. Provisional Applications: 60/776,037, filed Feb. 22, 2006; 60/777,796, filed Feb. 28, 2006; 60/795,836, filed Apr. 27, 2006; 60/810,561, Filed Jun. 1, 2006; 60/836,786, filed Aug. 9, 2006; 60/850,038, filed Oct. 6, 2006; and 60/859,846, filed Nov. 16, 2006; all of which are incorporated herein by reference in their entirety.
Number | Date | Country | |
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60776037 | Feb 2006 | US | |
60777796 | Feb 2006 | US | |
60795836 | Apr 2006 | US | |
60810561 | Jun 2006 | US | |
60836786 | Aug 2006 | US | |
60850038 | Oct 2006 | US | |
60859846 | Nov 2006 | US |