Electron beam apparatus with high resolutions
10096447 ยท 2018-10-09
Assignee
Inventors
Cpc classification
H01J37/067
ELECTRICITY
H01J37/063
ELECTRICITY
H01J37/075
ELECTRICITY
G01N23/2251
PHYSICS
H01J37/073
ELECTRICITY
International classification
H01J37/073
ELECTRICITY
G01N23/2251
PHYSICS
H01J37/075
ELECTRICITY
H01J37/244
ELECTRICITY
Abstract
A magnetic gun lens and an electrostatic gun lens can be used in an electron beam apparatus and can help provide high resolutions for all usable electron beam currents in scanning electron microscope, review, and/or inspection uses. An extracted beam can be directed at a wafer through a beam limiting aperture using the magnetic gun lens. The electron beam also can pass through an electrostatic gun lens after the electron beam passes through the beam limiting aperture.
Claims
1. An electron beam apparatus comprising: an electron source, wherein the electron source includes: a tip configured to emit electrons; a suppressor; and an extractor; a first electrostatic anode, wherein the first electrostatic anode is grounded; a beam limiting aperture disposed between the electrostatic anode and the electron source; a magnetic gun lens that includes a plurality of pole pieces and coils, wherein the magnetic gun lens is disposed on either side of the electron source, first electrostatic anode, and beam limiting aperture; an electrostatic gun lens disposed on an opposite side of the beam limiting aperture from the first electrostatic anode; and a second electrostatic anode, wherein the second electrostatic anode is grounded and is disposed on an opposite side of the electrostatic gun lens from the first electrostatic anode.
2. The electron beam apparatus of claim 1, further comprising: a chuck configured to hold a wafer; a condenser lens; an objective lens disposed between the chuck and the condenser lens; and a column aperture disposed between the second electrostatic anode and the condenser lens.
3. The electron beam apparatus of claim 2, wherein the electron beam apparatus is configured to shape the electron beam to have a first cross-over between the electrostatic gun lens and the column aperture and a second cross-over between the condenser lens and the objective lens.
4. The electron beam source of claim 1, wherein the electron source is a cold field emission source.
5. The electron beam source of claim 1, wherein the electron source is a thermal field emission source.
6. A scanning electron microscope including the electron beam apparatus of claim 1.
7. A method comprising: generating an electron beam with an electron source; extracting the electron beam with an extractor; directing the electron beam at a wafer through a beam limiting aperture using a magnetic gun lens that includes a plurality of pole pieces and coils and is disposed on either side of the beam limiting aperture; and passing the electron beam through an electrostatic gun lens after the electron beam passes through the beam limiting aperture.
8. The method of claim 7, further comprising using the electron beam to generate an image of the wafer.
9. The method of claim 7, wherein the magnetic guns lens is activated and the electrostatic gun lens is not activated.
10. The method of claim 7, wherein the magnetic gun lens is configured to select a beam current with a beam current switching speed.
11. The method of claim 7, further comprising passing the electron beam through a column aperture, a condenser lens, and an objective lens before the electron beam reaches the wafer.
12. The method of claim 11, wherein the electron beam is configured to have a first cross-over between the beam limiting aperture and the column aperture and a second cross-over between the condenser lens and the objective lens.
13. The method of claim 7, wherein the electrostatic gun lens is configured to select a beam current with a beam current switching speed.
14. The method of claim 7, wherein the magnetic gun lens and the electrostatic gun lens are configured to select a beam current with a beam current switching speed.
15. The method of claim 14, wherein the electron source is a cold field emission source.
16. The method of claim 7, wherein a beam current of the electron beam is from 0.001 nA to 500 nA.
17. The method of claim 16, wherein a resolution of the electron beam is from 20 nm to 80 nm.
18. The method of claim 7, wherein switching beam current occurs in one second or less.
Description
DESCRIPTION OF THE DRAWINGS
(1) For a fuller understanding of the nature and objects of the disclosure, reference should be made to the following detailed description taken in conjunction with the accompanying drawings, in which:
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DETAILED DESCRIPTION OF THE DISCLOSURE
(15) Although claimed subject matter will be described in terms of certain embodiments, other embodiments, including embodiments that do not provide all of the benefits and features set forth herein, are also within the scope of this disclosure. Various structural, logical, process step, and electronic changes may be made without departing from the scope of the disclosure. Accordingly, the scope of the disclosure is defined only by reference to the appended claims.
(16) Embodiments disclosed herein can achieve high resolutions for all usable beam currents in SEM, review, and/or inspection uses. Optical performance of the embodiments disclosed herein provide advantages over the previous designs.
(17) The spot size (d) at the sample of an electron beam apparatus typically includes five spot size components. These are the source image d.sub.g in Equation 1, the diffraction aberration blur d.sub. in Equation 2, the chromatic aberration blur d.sub.c in Equation 3, the spherical aberration blur d.sub.s in Equation 4, and the blur of Coulomb interactions between electrons d.sub.CI. The blur d.sub.CI will be described later within this disclosure.
(18)
(19) In Equations 1-4, BC is beam current, is the beam convergent angle at the sample (i.e., the numeric aperture NA), Br is the source brightness, E is the source energy spread, and the Cc and Cs are the total chromatic aberration coefficient and total spherical aberration coefficient, respectively. Defined in Equations 5 and 6, the Cc and Cs include gun and objective lens chromatic and spherical aberration coefficients, respectively.
Cc=Cc.sub.OL-sp+Cc.sub.gun-spEq. 5
Cs=Cs.sub.OL-sp+Cs.sub.gun-spEq. 6
(20) In Equations 5 and 6, Cc.sub.OL-sp (Cs.sub.OL-sp) and Cc.sub.gun-sp (Cs.sub.gun-sp) are chromatic (spherical) aberration coefficients of the objective lens and gun lens, respectively. These variables can be calculated at the final image (e.g., sample) side.
(21) The performance of an electron gun is characterized by the chromatic and spherical aberration coefficients of the gun lens, i.e. Cc.sub.gun-objt and Cs.sub.gun-objt, respectively. These variables can be calculated at the object side (e.g., source side) of the gun lens. Accordingly, the transformation from the gun lens aberration information (Cc.sub.gun-objt and Cs.sub.gun-objt) to the final image (sample) side is related by the column optical magnification, M, in Equations 7 and 8.
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(23) In Equations 7-9, the optical magnification, M, varies with the beam current, BC, given an electron source with a fixed angular intensity of Ja (or a fixed source brightness of Br). Note that the beam current can be selected by requirements of electron beam applications. As demonstrated using Equations 7-9, the cost of raising the beam current (or raising the machine throughput) is to magnify the gun lens aberrations to the final image (or to lose the machine resolution). This can be applied in the embodiments disclosed herein.
(24) In a TFE based electron source, the angular intensity Ja in Equation 9 may be from approximately 0.3 to 0.6 mA/sr. The optical magnification in the column with a TFE source, such as in
(25) In an electron beam optical column, the contribution of each spot size component d.sub.g, d.sub., d.sub.c, and d.sub.s to the total spot size, d, is fairly different in different beam currents ranges. Without including the Coulomb interactions between electrons, the total spot size d may be defined in Equation 10.
d=(d.sub.g.sup.2+d.sub..sup.2+d.sub.c.sup.2+d.sub.s.sup.2).sup.1/2Eq. 10
(26) In low beam current regime (LBC) in
d.sub.LB(d.sub..sup.2+d.sub.c.sup.2).sup.1/2E.sup.1/2*Cc.sup.1/2Eq. 11
(27) In Equation 11, E is energy spread. Due to the fact that the beam current is low for SEM (below sub-nA), the optical magnification in Equation 9 may be small as well (M<<0.05). Accordingly, in Equations 5 and 7 the gun chromatic aberration contribution to the final image (sample) may be negligible, and the total chromatic aberration coefficient Cc in Equations 5 and 11 may be governed by the objective lens (i.e., Cc=Cc.sub.OL-sp).
(28) Therefore, in the low beam current regime, the spot size may be approximately independent of the beam current, gun lens aberrations, and electron source brightness.
(29) In medium beam current regime (MBC) in
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(31) Accordingly, the optimal spot size in the medium beam current regime can increase simultaneously with the beam current and the source ratio of energy spread to brightness (E/Br). The total chromatic aberration coefficient Cc can include both the gun and objective lens contributions. With increasing beam current (or the optical magnification in Equation 9), the gun chromatic aberration Cc.sub.gun-objt may or may not be magnified sufficiently to impact and/or weigh the total Cc negligibly. It may be dependent on the gun design and the gun lens aberration Cc.sub.gun-objt.
(32) In high beam current regime (HBC) in
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(34) Accordingly, the optimal spot size in the high beam current regime may increase with beam current and decreases with the brightness simultaneously. The total spherical aberration coefficient Cs may include both the gun and objective lens contributions. With increased beam current (or M in Equation 9), the gun spherical aberration Cs.sub.gun-objt may or may not be magnified sufficiently to impact and/or weigh the total Cs negligibly. It may be dependent on the gun design and the gun lens aberration Cs.sub.gun-objt.
(35) As shown in
(36) The pole pieces 208 may be designed to narrow a magnetic flux distribution along an optical axis and form a magnetic lens in between the extractor 204 and beam limiting aperture 205, as shown later in
(37)
(38) The optical performance of an electron gun can be characterized by the chromatic and spherical aberration coefficients of the gun lens (i.e., Cc.sub.gun-objt and Cs.sub.gun-objt, respectively). The chromatic and spherical aberration coefficients of the gun lens can be calculated at the object side (source side) of the gun lens.
(39) A magnetic gun performance is generally better than an electrostatic gun performance. The chromatic aberration coefficient Cc.sub.gun-objt and spherical aberration coefficient Cs.sub.gun-objt in a magnetic gun shown in
(40) First, the object distance in a magnetic gun lens in
(41) Second, the bore size in a magnetic gun lens is much larger than that in an electrostatic gun lens. Therefore, the electrons moving in a magnetic focusing field are relatively more paraxial than the electrons moving in an electrostatic focusing field, so the third and higher geometric aberrations in the former are much smaller than those in the latter according to electron optics theory.
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(43) TABLE-US-00001 TABLE 1 CC Cs Cc.sub.gun-objt Cc.sub.gun-objt LBC MBC HBC LBC MBC HBC MGL 1.0 1.0 ~Cc.sub.OL-sp ~Cc.sub.OL-sp ~Cc.sub.OL-sp ~Cs.sub.OL-sp ~Cs.sub.OL-sp ~Cs.sub.OL-sp column in FIG. 4 EGL 10X to 50X to ~Cc.sub.OL-sp >Cc.sub.OL-sp >>Cc.sub.OL-sp ~Cs.sub.OL-sp >Cs.sub.OL-sp >>Cs.sub.OL-sp column in FIG. 1 30X 300X
(44) In Table 1 with a magnetic gun lens (MGL) in the column in
(45) In Table 1 with an electrostatic gun lens (EGL) in the column in
(46) In Table 1 with an electrostatic gun lens (EGL) in the column in
(47) In Table 1 with an electrostatic gun lens (EGL) in the column in
(48) Using a magnetic gun lens (MGL) in the TFE-source-based electron beam apparatus may not be able to improve resolution in low beam currents, although it improves the resolution in high beam currents, as can be seen in
(49) A TFE source in
(50) A CFE source is based on a wave-mechanical tunneling effect. Without needing the ZrO coating on W, the electrons can be emitted from a sharp tungsten tip with a radius of approximately 0.1 m when the tip electrostatic field strength is increased by the extractor voltage to be greater than 1.0E+8 V/mm Such high fields decrease the width of the potential wall in front of the cathode to a few nanometers so that the electrons from the Fermi level can penetrate the potential barrier by the wave-mechanical tunneling effect. Again the suppressor voltage can be used to shape the electron beam profile, and the extractor voltage can be used to modulate the brightness and/or angular intensity.
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(52) TABLE-US-00002 TABLE 2 Source E Br Ja E/Br M @ same BC TFE source 1.0 1.0 1.0 1.0 1.0 CFE X 2.0 X 0.2 X 2/8 X 5 X (Equation source 9)
(53) Due to a lower angular intensity Ja with a CFE in the first embodiment, the optical magnification in the optical column in
(54) TABLE-US-00003 TABLE 3 Cc Cs Source LBC MBC HBC LBC MBC HBC TFE ~Cc.sub.OL-sp ~Cc.sub.OL-sp ~Cc.sub.OL-sp ~Cs.sub.OL-sp ~Cs.sub.OL-sp ~Cs.sub.OL-sp source CFE ~Cc.sub.OL-sp Negligibly Slightly ~Cs.sub.OL-sp Slightly Greater source (1.0X to (1.05X (1.05X (1.15X 1.05X) to to to greater 1.15X) 1.15X) 1.5X) than greater greater than Cc.sub.OL-sp than than Cs.sub.OL-sp Cc.sub.OL-sp Cs.sub.OL-sp
(55) For the TFE source in a magnetic gun lens-based electron beam apparatus, the total Cc and Cs can increase with the beam current negligibly. Thus, the objective lens aberrations (Cc.sub.OL-sp and Cs.sub.OL-sp) may be dominant over the gun lens aberrations (Cc.sub.gun-sp and Cs.sub.gun-sp) for all beam currents (or for all optical mag M), as summarized in the Table 1.
(56) For the CFE source in a magnetic gun lens-based electron beam apparatus, if at low beam currents (LBC), a small magnification (M<<0.05) results in Cc.sub.gun-sp<<Cc.sub.OL-sp and Cs.sub.gun-sp<<Cs.sub.OL-sp, such that the total Cc and Cs may be approximately equal to the objective lens Cc.sub.OL-sp and Cs.sub.OL-sp. Even the optical magnification in a CFE-source-based column can be approximately 5 larger, respectively.
(57) For the CFE source in a magnetic gun lens-based electron beam apparatus, if at medium beam currents (MBC), an increasing magnification due both to the beam current increase and to the angular intensity decrease can result in the Cc.sub.gun-sp and Cs.sub.gun-sp larger than those in the TFE-based column. However, these are still smaller than the Cc.sub.OL-sp and Cs.sub.OL-sp because the Cc.sub.gun-objt and Cs.sub.gun-objt in a magnetic gun lens-based column are already reduced. This can lead to the total Cc and Cs slightly greater than approximately 1.05 to 1.15 the Cc.sub.OL-sp and Cs.sub.OL-sp, respectively.
(58) For the CFE source in a magnetic gun lens-based electron beam apparatus, if at high beam currents (HBC), a larger magnification due both to the beam current increase and to the angular intensity can decrease results in Cc.sub.gun-sp and Cs.sub.gun-sp larger than those in the TFE-based column. However, these may still be smaller than the Cc.sub.OL-sp and Cs.sub.OL-sp, because the Cc.sub.gun-objt and Cs.sub.gun-objt in a magnetic gun lens-based column are already reduced. This can lead to the total Cc and Cs significantly greater than approximately 1.15 to 1.5 the Cc.sub.OL-sp and Cs.sub.OL-sp, respectively.
(59) With a CFE source and magnetic gun lens (MGL) in the first embodiment optical column in
(60) In low beam currents (LBC), the spot size given in Equation 11, d.sub.LB, is governed by the total chromatic aberration coefficient Cc and source energy spread E. The E with a CFE source may be approximately 0.25 lower than that with a TFE source. The total Cc with a CFE source may be the same as that with a TFE source, being approximately equal to the objective lens Cc.sub.OL-sp in the Table 3. Accordingly, the resolution with a CFE source may be better than that with a TFE source.
(61) In medium beam currents (MBC), the spot size given in Equation 12, d.sub.MB, is governed by the total chromatic aberration coefficient Cc and the ratio of the source energy spread to brightness (E/Br). According to Table 3, the Cc may only be negligibly greater than Cc.sub.OL-sp, (almost the same as the Cc with a TFE source). However, the ratio E/Br with a CFE source may be approximately 2/8 smaller than that with a TFE source. As a combined result in Equation 12, the resolution with a CFE source may be better than that with a TFE source.
(62) In high beam currents (HBC), the spot size given in Equation 13, d.sub.HB, is governed by the total spherical aberration coefficient in Cs.sup.1/4 and the source brightness in 1/Br.sup.318. According to Table 2 and Table 3, the Br with a CFE source may be approximately 2 greater than that with a TFE source, although the Cs with a CFE source may be maximum 1.5 larger than that with TFE source. However, as a combined result in Equation 13, the Cs.sup.1/4/Br.sup.3/8 with the CFE source may still be approximately 15% smaller than that with a TFE source. Accordingly, the resolution with a CFE source may be better than that with a TFE source.
(63) In addition to the fact that the geometric aberrations in a CFE-based column are smaller than those in a TFE-based column in
(64) In the first embodiment of
(65) For instance, in the defect review applications from high resolution mode to high throughput mode, or in the electron beam inspection applications from physical defect inspection to voltage contrast inspection, the beam current needs to be fast changed and/or selected differently. The magnetic gun lens in the first embodiment in
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(67) In the second embodiment configuration and optics in
(68) As seen in
(69) The electrostatic gun lens 218 may be an Einzel lens or unipotential lens as shown in
(70) The electron beam apparatus 220 can further include a chuck 221 configured to hold a sample 103, such as a semiconductor wafer; a condenser lens 213; an objective lens 214 disposed between the chuck 221 holding the sample 103 and the condenser lens 213; and a column aperture 212 disposed between the second electrostatic anode 219 and the condenser lens 213. The electron beam apparatus 220 can be configured to shape the electron beam to have a first cross-over 215 (XO1) between the electrostatic gun lens 218 and the column aperture 212 and a second cross-over 216 (XO2) between the condenser lens 213 and the objective lens 214.
(71) A scanning electron microscope can include an embodiment of the electron beam apparatus disclosed herein, such as that in
(72) While illustrated as a magnetic gun lens (MGL) and electrostatic guns lens (EGL) MGL/EGL, other dual-lens mixed guns are possible. For example, an MGL/MGL, EGL/MGL, or EGL/EGL. Any these dual-lens combinations may be incorporated in the optics in
(73)
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(75) Comparing
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(77) The electron beam can pass through a column aperture, a condenser lens, and an objective lens before the electron beam reaches the wafer. In an instance, the electron beam is configured to have a first cross-over between the beam limiting aperture and the column aperture and a second cross-over between the condenser lens and the objective lens.
(78) While the magnetic gun lens and electrostatic gun lens can both be activated during operation, the electrostatic gun lens also may not be activated during operation (i.e., only the magnetic guns lens may be activated during operation).
(79) The magnetic gun lens can be configured to select a beam current with a beam current switching speed. The electrostatic gun lens also can be configured to select a beam current with a beam current switching speed. The magnetic gun lens and the electrostatic gun lens can be configured to select a beam current with a beam current switching speed. Regardless of whether the magnetic gun lens and/or the electrostatic gun lens is configured to select a beam current with a beam current switching speed, the electron source may be a cold field emission source.
(80) An electron beam apparatus can be used as an SEM platform with low beam currents below sub-nano Amperes (e.g., approximately 0.001 nA to 0.1 nA), a review platform with medium beam currents in sub-nAs to nAs (e.g., approximately 0.05 nA to 5 nA), and an inspection platform with high beam currents in nAs to hundreds of nAs (e.g., approximately 1 nA to 500 nA). This can cover the physical defect inspection, hot spot inspection, voltage contrast inspection, or other techniques.
(81) A beam current of the electron beam can be from 0.001 nA to 500 nA. A spot size for SEM applications may be from 35 nm to 65 nm. Using embodiments disclosed herein, a resolution of the electron beam is from approximately 20 nm to 80 nm.
(82) In an exemplary review application, the high resolution mode may use beam currents of from approximately 0.05 nA to 0.2 nA, and the high throughput mode may use beam currents from approximately 0.5 nA to 5 nA. In an exemplary wafer inspection application, the hot spot or physical defect inspections may use beam currents from approximately 1 nA to 20 nA, and the voltage contrast inspection may sometimes use beam currents from 50 nA to 500 nA. Beam current switching in these applications may require switching as fast as an order of second or less.
(83) The blur induced by the Coulomb interactions between electrons may be directly related to the size of the volume of the electron beam carrying a given beam current. Assuming r(z) to be the radius of the electron beam along the optical axis z, the electron volume density, n(z), is given by Equation 14.
(84)
(85) The average separation distance of the electrons, d(z), is given by Equation 15.
(86)
(87) The larger the electron separation distance d(z), the weaker the Coulomb force between electrons will be because it is inversely proportional to the square of the separation d(z). As shown in
(88) The embodiments described herein may include or be performed in a system, such as the system 400 of
(89) As also shown in
(90) The electron beam source 402 and elements 403 can be or can include the components of the embodiments illustrated in
(91) Electrons returned from the wafer 404 (e.g., secondary electrons) may be focused by one or more elements 405 to the detector 406. One or more elements 405 may include, for example, a scanning subsystem, which may be the same scanning subsystem included in element(s) 403. The electron column 401 may include any other suitable elements known in the art.
(92) Although the electron column 401 is shown in
(93) The control unit 407 may be in electronic communication with the detector 406 or other components of the system 400. The detector 406 may detect electrons returned from the surface of the wafer 404 thereby forming electron beam images of the wafer 404. The electron beam images may include any suitable electron beam images. The control unit 407 may be configured according to any of the embodiments described herein. The control unit 407 also may be configured to perform other functions or additional steps using the output of the detector 406 and/or the electron beam images.
(94) It is to be appreciated that the control unit 407 may be implemented in practice by any combination of hardware, software, and firmware. Also, its functions as described herein may be performed by one unit, or divided up among different components, each of which may be implemented in turn by any combination of hardware, software, and firmware. Program code or instructions for the control unit 407 to implement various methods and functions may be stored in controller readable storage media, such as a memory 409, within the control unit 407, external to the control unit 407, or combinations thereof.
(95) It is noted that
(96) While disclosed as part of a defect review system, the control unit 407 or methods described herein may be configured for use with inspection systems. In another embodiment, the control unit 407 or methods described herein may be configured for use with a metrology system. Thus, the embodiments as disclosed herein describe some configurations for classification that can be tailored in a number of manners for systems having different imaging capabilities that are more or less suitable for different applications.
(97) In particular, the embodiments described herein may be installed on a computer node or computer cluster that is a component of or coupled to the detector 406 or another component of a defect review tool, a mask inspector, a virtual inspector, or other devices. In this manner, the embodiments described herein may generate output that can be used for a variety of applications that include, but are not limited to, wafer inspection, mask inspection, electron beam inspection and review, metrology, or other applications. The characteristics of the system 400 shown in
(98) The control unit 407, other system(s), or other subsystem(s) described herein may take various forms, including a personal computer system, workstation, image computer, mainframe computer system, workstation, network appliance, internet appliance, parallel processor, or other device. In general, the term control unit may be broadly defined to encompass any device having one or more processors that executes instructions from a memory medium. The subsystem(s) or system(s) may also include any suitable processor known in the art, such as a parallel processor. In addition, the subsystem(s) or system(s) may include a platform with high speed processing and software, either as a standalone or a networked tool.
(99) If the system includes more than one subsystem, then the different subsystems may be coupled to each other such that images, data, information, instructions, etc. can be sent between the subsystems. For example, one subsystem may be coupled to additional subsystem(s) by any suitable transmission media, which may include any suitable wired and/or wireless transmission media known in the art. Two or more of such subsystems may also be effectively coupled by a shared computer-readable storage medium (not shown).
(100) In another embodiment, the control unit 407 may be communicatively coupled to any of the various components or sub-systems of system 400 in any manner known in the art. Moreover, the control unit 407 may be configured to receive and/or acquire data or information from other systems (e.g., inspection results from an inspection system such as a broad band plasma (BBP) tool, a remote database including design data and the like) by a transmission medium that may include wireline and/or wireless portions. In this manner, the transmission medium may serve as a data link between the control unit 407 and other subsystems of the system 400 or systems external to system 400.
(101) The control unit 407 may be coupled to the components of the system 400 in any suitable manner (e.g., via one or more transmission media, which may include wired and/or wireless transmission media) such that the control unit 407 can receive the output generated by the system 400. The control unit 407 may be configured to perform a number of functions using the output. In another example, the control unit 407 may be configured to send the output to a memory 409 or another storage medium without performing defect review on the output. The control unit 407 may be further configured as described herein.
(102) An additional embodiment relates to a non-transitory computer-readable medium storing program instructions executable on a controller for performing a computer-implemented method. In particular, as shown in
(103) The program instructions may be implemented in any of various ways, including procedure-based techniques, component-based techniques, and/or object-oriented techniques, among others. For example, the program instructions may be implemented using ActiveX controls, C++ objects, JavaBeans, Microsoft Foundation Classes (MFC), SSE (Streaming SIMD Extension), or other technologies or methodologies, as desired.
(104) In some embodiments, various steps, functions, and/or operations of system 400 and the methods disclosed herein are carried out by one or more of the following: electronic circuits, logic gates, multiplexers, programmable logic devices, ASICs, analog or digital controls/switches, microcontrollers, or computing systems. Program instructions implementing methods such as those described herein may be transmitted over or stored on carrier medium. The carrier medium may include a storage medium such as a read-only memory, a random access memory, a magnetic or optical disk, a non-volatile memory, a solid state memory, a magnetic tape and the like. A carrier medium may include a transmission medium such as a wire, cable, or wireless transmission link. For instance, the various steps described throughout the present disclosure may be carried out by a single control unit 407 (or computer system) or, alternatively, multiple control units 407 (or multiple computer systems). Moreover, different sub-systems of the system 400 may include one or more computing or logic systems. Therefore, the above description should not be interpreted as a limitation on the present invention but merely an illustration.
(105) Each of the steps of the method may be performed as described herein. The methods also may include any other step(s) that can be performed by the controller and/or computer subsystem(s) or system(s) described herein. The steps can be performed by one or more computer systems, which may be configured according to any of the embodiments described herein. In addition, the methods described above may be performed by any of the system embodiments described herein.
(106) Although the present disclosure has been described with respect to one or more particular embodiments, it will be understood that other embodiments of the present disclosure may be made without departing from the scope of the present disclosure. Hence, the present disclosure is deemed limited only by the appended claims and the reasonable interpretation thereof.