METHOD AND SYSTEM FOR IMAGING STRUCTURES BELOW THE SURFACE OF A SAMPLE
20220205953 · 2022-06-30
Inventors
- Daniele PIRAS (Amsterdam, NL)
- Paul Louis Maria Joseph VAN NEER (Bergschenhoek, NL)
- Benoit Andre Jacques QUESSON ('s-Gravenhage, NL)
- Laurent FILLINGER ('s-Gravenhage, NL)
- Kodai Hatakeyama (Pijnacker, NL)
- Sri Ram Shankar Rajadurai (Delft, NL)
- Maarten Hubertus Van Es (Voorschoten, NL)
- Abbas MOHTASHAMI ('s-Gravenhage, NL)
Cpc classification
G01N29/348
PHYSICS
G01N29/0681
PHYSICS
G01N29/26
PHYSICS
International classification
G01N29/26
PHYSICS
Abstract
The present document relates to a heterodyne scanning probe microscopy (SPM) method for subsurface imaging, and includes: applying, using a transducer, an acoustic input signal to the sample, wherein the acoustic input signal has a frequency of at least 1 gigahertz; sensing an acoustic output signal using a probe, the probe including a cantilever and a probe tip, wherein the probe tip is in contact with the surface, wherein the acoustic output signal is representative of acoustic waves responsive to the acoustic input signal that are measurable at the surface; wherein the acoustic input signal is applied to the sample comprising a distinct pulse of acoustic energy followed by a relaxation period, wherein an acoustic power of the acoustic input signal during the pulse is at least twice as large as an acoustic power during the relaxation period. The present document further relates to a scanning probe microscopy method.
Claims
1. A method for imaging structures below a surface of a sample using a scanning probe microscopy system, the method including: applying, using a transducer, an acoustic input signal to the sample, wherein the acoustic input signal has a frequency of at least 1 gigahertz; sensing an acoustic output signal using a probe including a cantilever and a probe tip, wherein the probe tip, during the sensing, is in contact with the surface, and wherein the acoustic output signal is representative of acoustic waves responsive to the acoustic input signal that are measurable at the surface; wherein the acoustic input signal comprising a distinct pulse of acoustic energy followed by a relaxation period is applied to the sample, wherein an acoustic power of the acoustic input signal during the pulse is at least twice as large as an acoustic power during the relaxation period, and wherein the acoustic input signal is attenuated, by a bearer layer comprised by the transducer, such that weak acoustic signals do not enter the sample.
2. The method according to claim 1, wherein a duration of the relaxation period is at least 0.1 microseconds.
3. The method according to claim 1, wherein the sample comprises a thickness d.sub.s and is made of a material having a speed of sound v.sub.s, and wherein the duration t.sub.rel of the relaxation period is at least t.sub.rel=2*(d.sub.s/v.sub.s+d.sub.t/v.sub.t).
4. The method according to claim 1, wherein the acoustic input signal comprises a plurality of signal components that each have a unique frequency, wherein the plurality of signal components comprise: a base signal component at a carrier frequency; and a plurality of additional signal components, wherein each signal component, of the plurality of additional signal components, comprises a unique further excitation frequency that is different from the carrier frequency, and wherein at least two of the additional signal components are in a frequency domain located on either side of the carrier frequency; and wherein the carrier frequency and each unique further excitation frequency together form a group of frequencies, wherein the frequencies of the group of frequencies are distributed with an equal difference frequency between each two subsequent frequencies of the group of frequencies, to thereby provide a periodic acoustic input signal comprising acoustic pulses at a pulse repetition frequency equal to the difference frequency.
5. The method according to claim 4, further comprising tuning the relaxation period provided by the pulse repetition frequency by setting the equal difference frequency dependent upon a thickness of at least one of a sample or a layer of the sample.
6. The method according to claim 4, wherein the equal difference frequency is a frequency smaller than 7 megahertz.
7. The method according to claim 4, wherein the amplitude of each of the additional signal components is: smaller than the amplitude of the carrier frequency.
8. The method according to claim 1, wherein the sensing is performed such that the acoustic output signal is only obtained for at least a part of the duration of the distinct pulse of acoustic energy, and wherein the obtaining of the acoustic output signal is ceased during the relaxation period.
9. The method according to claim 8, wherein ceasing the obtaining of the acoustic output signal is performed by performing at least one of the group consisting of: ceasing registration of a probe tip motion during the relaxation period; operating a probe deflection sensor so as to cease monitoring probe tip motion during the relaxation period; and detaching the probe tip from the sample surface during the relaxation period.
10. The method according to claim 1, wherein the transducer has a thickness d.sub.t, and wherein the bearer layer is made such that the acoustic input signal attenuates by at least −10 dB by propagating over a distance of 3*d.sub.t in the bearer layer.
11. The method according to claim 1, wherein the transducer has a thickness d.sub.t and, wherein the bearer layer is made of a material being selected so as to provide an acoustic attenuation factor α.sub.0 such that the acoustic input signal attenuates by at least −10 dB by propagating over a distance of 3*d.sub.t in the bearer layer.
12. A scanning probe microscopy system for imaging structures below the surface of a sample, comprising: a probe for scanning the sample surface, wherein the probe comprises a probe tip mounted on a cantilever, and wherein the probe is mounted on a sensing head arranged for bringing the probe tip in contact with the sampling surface, a motion actuator for enabling motion of the probe relative to the sample, a transducer for applying an acoustic input signal to the sample, wherein the acoustic input signal has a frequency of at least 1 gigahertz, and a probe deflection sensor for producing a sensor signal indicative of an acoustic output signal received via the probe tip, wherein the acoustic output signal is representative of acoustic waves responsive to the acoustic input signal; wherein the transducer is arranged for producing the acoustic input signal such so as to comprise a distinct pulse of acoustic energy followed by a relaxation period, wherein an acoustic power of the acoustic input signal during the pulse is at least twice as large as an acoustic power during the relaxation period, wherein the transducer comprises a bearer layer configured for attenuating the acoustic input signal such that weak acoustic signals do not enter the sample.
13. The scanning probe microscopy system according to claim 12, wherein the transducer is arranged for producing the acoustic input signal such that a duration of the relaxation period is at least 0.1 microseconds.
14. The scanning probe microscopy system according to claim 12, wherein the transducer is arranged for producing the acoustic input signal such that the acoustic input signal comprises a plurality of signal components that each have a unique frequency, wherein the plurality of signal components comprise: a base signal component at a carrier frequency; and a plurality of additional signal components, wherein each signal component, of the plurality of additional signal components, comprises a unique further excitation frequency that is different from the carrier frequency, and wherein at least two of the additional signal components are in a frequency domain located on either side of the carrier frequency; wherein the carrier frequency and each unique further excitation frequency together form a group of frequencies, wherein the frequencies of the group of frequencies are distributed with an equal difference frequency between each two subsequent frequencies of the group of frequencies, to thereby provide a periodic acoustic input signal comprising acoustic pulses at a pulse repetition frequency equal to the difference frequency.
15. The scanning probe microscopy system according to claim 14, further comprising a tuner for tuning the relaxation period provided by the pulse repetition frequency by setting the difference frequency dependent upon a thickness of at least one of a sample or a layer of the sample.
16. The scanning probe microscopy system according to claim 14, wherein the transducer is arranged for producing the acoustic input signal such that the difference frequency is a frequency smaller than 7 megahertz.
17. The scanning probe microscopy system according to claim 12, wherein the transducer has a thickness d.sub.t, and wherein the bearer layer is made of a material having an acoustic attenuation factor α.sub.0 such that the acoustic input signal attenuates by at least −10 dB by propagating over a distance of 3*d.sub.t in the bearer layer.
18. The scanning probe microscopy system according to claim 12, wherein the transducer has a thickness d.sub.t, and wherein the thickness of the bearer layer is such that the acoustic input signal attenuates by at least −10 dB by propagating over a distance of 3*d.sub.t in the bearer layer.
19. The method of claim 1, wherein the sample comprises a thickness d.sub.s and is made of a material having a speed of sound v.sub.s, and wherein the transducer has a thickness d.sub.t and the bearer layer has a speed of sound v.sub.t for conveying the acoustic input signal, and wherein the duration t.sub.rel of the relaxation period is at least t.sub.rel=2*(d.sub.s/v.sub.s+d.sub.t/v.sub.t).
20. The method according to claim 4, wherein the amplitude of each of the additional signal components is larger than the amplitude of the carrier frequency.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0020] The invention will further be elucidated by description of some specific embodiments thereof, making reference to the attached drawings. The detailed description provides examples of possible implementations of the invention, but is not to be regarded as describing the only embodiments falling under the scope. The scope of the invention is defined in the claims, and the description is to be regarded as illustrative without being restrictive on the invention. In the drawings:
[0021]
[0022]
[0023]
[0024]
[0025]
DETAILED DESCRIPTION
[0026] Scanning probe microscopy is a highly accurate method of imaging structures (down to nanometer scale) on the surface of a sample by scanning a probe with a probe tip across the sample surface, while keeping the probe tip in contact with the surface (contact mode) or vibrating the probe tip such as to tap the probe tip in contact with the surface during each cycle of vibration (tapping mode). In a number of fields of application of scanning probe microscopy, there is an interest in visualizing structures that are present below the surface of a substrate. For example, in the field of semiconductor device manufacturing, device layers may be covered underneath other device layers of a semiconductor device. One possible scanning probe microscopy technique, referred to as heterodyne force microscopy, provides a sensing method that allows the visualization of sub-surface structures. In heterodyne force microscopy, an acoustic signal is applied to the sample which propagates through the sample substrate. The acoustic input signal contains components at various frequencies which in the composition of the input signal aggregate into a component at their difference frequency. The frequency of the applied acoustic signals and the dimensions of the structures determine the physical principle that governs the interaction. For example, at acoustic frequencies smaller than 100 MHz, the acoustic input signal forces the sample surface with variable pressure against the probe tip which contributes to periodic indentations of the surface of the substrate by the tip. This enables characterization of subsurface features by measuring viscoelastic properties of the sample: a subsurface feature can be ‘felt’ by the tip because it locally changes these viscoelastic properties. At frequencies above 1 GHz the acoustic input signal may be applied to detect subsurface structures based on subsurface scattering of the acoustic signal against these subsurface features. The present invention focuses on the detection of subsurface features based on subsurface scattering of an acoustic signal, typically at frequencies exceeding 1 GHz.
[0027] The probe tip of the scanning probe microscopy system is scanned across the surface, and vibrations are picked up by the probe tip from the surface to provide an output signal. The output signal is analyzed using an analysis system for providing information about any subsurface structures present underneath the surface of the sample. These vibrations that form the output signal may be picked up by means of an optical sensor, often consisting of a laser beam that impinges on the cantilever of the probe and reflects onto an optical detector. However, other techniques are available to monitor probe tip motion such as to obtain the output signal. For example, instead of an optical sensing technique, capacitive measurement of probe tip motion could be applied to obtain an output signal. The invention is not limited to one particular manner of obtaining the output signal.
[0028] The acoustic input signals that may be applied can be preselected within a wide range of frequencies, ranging from 1 GHz to at least 1 terahertz (THz); e.g. 100 or 200 GHz. The invention applies heterodyne sensing to enable detection at any acoustic frequencies, e.g. applying multiple acoustic signals of 1 GHz or above but with difference frequencies (modulation frequency) between the individual signal components in a detectable range. The detectable range or sensitivity range is largely determined by the SPM system and the probe characteristics. The sensitivity of the probe is typically most optimal around any of the contact resonance frequencies of the probe. For example, the probe is sensitive between 80% and 120% of the first contact resonance frequency, but also within bands around higher contact resonance mode frequencies (e.g. 2nd, 3rd, 4th, 5th, 6th, etc.). In addition to this, the sensitivity of the rest of the system is determined by the sensitivity of the sensor system that monitors the probe tip motion. Setting the difference frequencies (i.e. modulation frequency) to a value which is within the sensitivity of the system enables the detection of phase and amplitude characteristics and variations in the acoustic output signal through down-conversion of the aggregated frequencies of the acoustic input signal components.
[0029] The acoustic input signal is typically applied to the sample using a transducer. Characteristic about a manner of propagation of the signal through material layers of a sample or of the transducer, is that each interface encountered causes reflection of at least a fraction of the signal. If the acoustic signal is continued to be applied, this results in the forming of standing waves between the encountered interfaces. Due to reflection and reverberation of the acoustic signal against these interfaces, the resonance mechanism is continuously provided with acoustic energy and is thereby maintained. In many cases, a sample comprises various interfaces and structural features, and standing waves may be generated by resonance between each two interfaces or each feature present and the characteristics of the resonance signal are dependent on the dimensions involved and the material properties of the resonating material. As a result, the generated standing waves become a source of disturbance appearing in the output signal as noise and diminishing the SNR.
[0030] The present invention proposes a different method of excitation of the sample that overcomes the above problems encountered. In the present invention, the sample material is excited by an acoustic input signal consisting of a distinct pulse of acoustic power followed by a relaxation period. The relaxation period serves to let the response of the sample to the applied acoustic pulse die out before applying a new pulse of acoustic power. Moreover, in certain embodiments of the invention, additional measures are taken to attenuate echoing of the acoustic pulse, such as to prevent feeding of any standing waves by such echoes and to obtain a clean response signal.
[0031]
[0032]
[0033] In accordance with some embodiments of the present invention, a generator 31 generates an input signal 32 for applying an acoustic sensing signal to the sample. The input signal 32 at least consist of a first part 33 and a second part 34. The first part 33 provides the carrier wave or base signal component which is periodic with a frequency f.sub.c. The second part 34 provides two or more additional signal components on either side of the carrier frequency (in the frequency domain). The additional signal components in second part 34 are periodic with frequencies f.sub.s(i), wherein i is an index integer ranging from 1 to n (with n E N and n>4). The frequencies f.sub.c and f.sub.s(i) are at least larger than 1 GHz such as to be in the gigahertz (GHz) range for scattering based subsurface sensing. For example, these signals may be 10 GHz or 20 GHz. Characteristic for the frequencies f.sub.c and f.sub.s(i) of the input signal parts 33 and 34 is that the difference between each two subsequent frequencies f.sub.s(i) or f.sub.c, which is the difference frequency or modulation frequency f.sub.m, is within the sensitivity range of the system, e.g. near the first contact resonance frequency f.sub.0 (or a higher mode contact resonance frequency) of the cantilever 8.
[0034] In some embodiments, the input signal 32 may consist of one base signal component 33 at the carrier frequency f.sub.c and a plurality of additional signal components 34 at unique frequencies f.sub.s(i). In the example illustrated in
[0035] The invention is not confined to the above embodiments, and the skilled person may appreciate that there are additional ways of generating and applying a distinct pulse of acoustic power followed by a relaxation period. Furthermore, there are alternative ways to apply such signals to the sample in a repetitive manner.
[0036] Both the first input signal part 33 and the second input signal part 34 are converted into an acoustic signal to be applied during scanning Here, the both input signal parts 33 and 34 are amplified in a power amplifier (not shown) and provided to transducer 12 underneath the sample 5. A coupling medium 13 (e.g. water or a grease or oil) provides for acoustic coupling between the transducer 12 and the sample 5. The signal parts 33 and 34 are respectively converted into acoustic signals 22 and 23 to be applied via the coupling medium 13 to the sample 5. This creates acoustic waves on the surface of the sample 5 that can be picked up by the probe tip 9 when it is in contact with the surface of the sample 5.
[0037] Importantly, as in accordance with the present invention the high power acoustic pulse is to be followed by a relaxation period, the modulation frequency f.sub.m must also enable a relaxation period duration that is long enough to let any echoes die out. Hence, preferably the modulation frequency f.sub.m does not exceed 10 MHz, and more preferable be less than 7 MHz, more preferably less than 5 MHz, further more preferably less than 3 MHz, and even more preferably less than 2 MHz. Other acoustic signal characteristics may then be tuned such as to narrow the high power acoustic pulse to provide a relaxation period duration of at least 0.1 μs, preferably at least 0.2 μs.
[0038] As will be appreciated, any information on sub-surface structures will at least be present in the acoustic output signal 26. This information is also present in the signal component at the modulation frequency f.sub.m, which therefore becomes measurable. Therefore, the output signal 26 contains the information on sub-surface structures. This output signal 26 is provided to the analysis system 30. In the analysis system 30, the output signal 26 is compared with a reference signal 27 that at least include the (or all) modulation frequency f.sub.m. The reference signal 27 is created by analyzing the first and second input signal parts 33 and 34 e.g. by digital analysis for determining their difference frequency, and generating the reference signal having a frequency component f.sub.m. The comparison between reference 27 and output signal 26 is represented by filter element 36 in
[0039] In some embodiments, the acoustic output signal 26 is only obtained for the duration of the first distinct pulse of acoustic power. During the relaxation period, obtaining of the acoustic output signal 26 is ceased. By only temporarily registering or sensing the output signal during the first distinct pulse 44 or 50 of each repetitive cycle, while ceasing the sensing or registering thereof during relaxation 60, the output signal 26 obtained contains the direct response to the first pulse of the input signal 32. During this time, the amount of usable signal in relation to the contributions by the disturbance signals from any present standing waves is optimal in favor of obtaining a good SNR and good quality measurements. Several possible implementations may be considered to achieve this. For example, the ceasing the obtaining of the acoustic output signal 26 is performed by ceasing registration of a motion of the probe tip 9 during the relaxation period 60. This may be achieved by switching off the analysis system 30 or a receiver during the relaxation period 60. Alternatively or additionally, this may also be achieved by operating the probe deflection sensor in a certain manner. For example, to cease monitoring probe tip motion during the relaxation period 60, the probe deflection sensor may be switched off temporarily, e.g. by switching of the laser unit 19 or the optical sensor 20. As a further alternative or additional measure, the probe tip 9 may temporarily be detached from the surface of the sample 5 during the relaxation period 60.
[0040] The acoustic signals may be applied using various different methods. In the embodiment of
[0041] In addition to the above, it is observed that it is not essential to apply an optical sensing technique to determining probe deflection. In fact any suitable type of probe deflection sensor may be applied. Alternative sensing techniques for example include the application of a piezo-resistive layer, the electrical resistance of which vary with probe deflection. Probe deflection may in that case be detected by detecting voltage differences in an electric signal applied to the piezo-resistive layer. As another alternative, probe deflection may be detected using a piezo-electric element or layer, the potential of which changes dependent on cantilever motion. Alternatively, capacitive measurements may be applied in an electrostatic sensing technique. As some further alternatives, one may also apply an interferometer to measure probe deflection or perform a heat flux measurement in a thermal method by using a temperature difference between probe and sample. The skilled person will be familiar with such techniques and is able to apply them in embodiments of the present invention.
[0042]
[0043]
[0044] In
[0045] This principle may be applied to tune the acoustic power of pulses 85 in respect of the low power pulses 86. In a different manner, adding additional signal components on each side of the carrier frequency f.sub.c also increases the number of low power pulses 86 and at the same time narrows the pulses 85. This principle may be applied to tune the duration of the relaxation period t.sub.rel over the duration of the high power pulses 85.
[0046] The present invention has been described in terms of some specific embodiments thereof. It will be appreciated that the embodiments shown in the drawings and described herein are intended for illustrated purposes only and are not by any manner or means intended to be restrictive on the invention. It is believed that the operation and construction of the present invention will be apparent from the foregoing description and drawings appended thereto. It will be clear to the skilled person that the invention is not limited to any embodiment herein described and that modifications are possible which should be considered within the scope of the appended claims. Also kinematic inversions are considered inherently disclosed and to be within the scope of the invention. Moreover, any of the components and elements of the various embodiments disclosed may be combined or may be incorporated in other embodiments where considered necessary, desired or preferred, without departing from the scope of the invention as defined in the claims.
[0047] In the claims, any reference signs shall not be construed as limiting the claim. The term ‘comprising’ and ‘including’ when used in this description or the appended claims should not be construed in an exclusive or exhaustive sense but rather in an inclusive sense. Thus the expression ‘comprising’ as used herein does not exclude the presence of other elements or steps in addition to those listed in any claim. Furthermore, the words ‘a’ and ‘an’ shall not be construed as limited to ‘only one’, but instead are used to mean ‘at least one’, and do not exclude a plurality. Features that are not specifically or explicitly described or claimed may be additionally included in the structure of the invention within its scope. Expressions such as: “means for . . . ” should be read as: “component configured for . . . ” or “member constructed to . . . ” and should be construed to include equivalents for the structures disclosed. The use of expressions like: “critical”, “preferred”, “especially preferred” etc. is not intended to limit the invention. Additions, deletions, and modifications within the purview of the skilled person may generally be made without departing from the spirit and scope of the invention, as is determined by the claims. The invention may be practiced otherwise then as specifically described herein, and is only limited by the appended claims.