Interdigitated capacitor having digits of varying width

Information

  • Patent Grant
  • 8941974
  • Patent Number
    8,941,974
  • Date Filed
    Friday, September 9, 2011
    12 years ago
  • Date Issued
    Tuesday, January 27, 2015
    9 years ago
Abstract
An interdigitated capacitor having digits of varying width is disclosed. One embodiment of a capacitor includes a first plurality of conductive digits and a second plurality of conductive digits positioned in an interlocking manner with the first plurality of conductive digits, such that an interdigitated structure is formed. The first plurality of conductive digits and the second plurality of conductive digits collectively form a set of digits, where the width of a first digit in the set of digits is non-uniform with respect to a second digit in the set of digits.
Description
FIELD OF THE DISCLOSURE

This disclosure relates generally to integrated circuits and relates more particularly to interdigitated capacitors for use in integrated circuit technology.


BACKGROUND

Passive electronic components such as capacitors are often used in integrated circuit (IC) applications. One particular type of capacitor is an interdigitated capacitor. A conventional interdigitated capacitor comprises a plurality of interdigitated layers, where each pair of interdigitated layers is separated by an oxide layer (or oxide region). Each interdigitated layer comprises two bars (or interconnects) which are positioned substantially parallel to each other. Extending from each of the bars is a plurality of “digits” (i.e., long conductors). The digits are spaced along the bars such that the digits collectively form an interlocked or interdigitated structure.


Conventional interdigitated capacitors suffer from some drawbacks. For instance, the longer the length of the digits, the more current loss the digits tend to incur. As such, the length of the digits is typically selected to minimize such losses. For instance, multiple interdigitated layers having digits of shorter length typically span the area of the capacitor. Although this effectively minimizes losses, the capacitance density of the capacitor is lowered as a result. In turn, each of the interdigitated layers will require two electrodes in order to provide the necessary capacitance density. These electrodes are located outside of the interdigitated structure and consume space in the areas of the bars and oxide layer. Thus, capacitor area is not utilized in a manner that maximizes performance.


SUMMARY

An interdigitated capacitor having digits of varying width is disclosed. One embodiment of a capacitor includes a first plurality of conductive digits and a second plurality of conductive digits positioned in an interlocking manner with the first plurality of conductive digits, such that an interdigitated structure is formed. The first plurality of conductive digits and the second plurality of conductive digits collectively form a set of digits, where the width of a first digit in the set of digits is non-uniform with respect to a second digit in the set of digits.


In various embodiments of the capacitor, a first subset of the set of digits that is positioned closest to the ends of the interdigitated structure has widths that are wider than a second subset of the set of digits that is positioned closest to the center of the interdigitated structure. A first subset of the set of digits that is positioned closest to the ends of the interdigitated structure has widths that are three to five times wider than a second subset of the set of digits that is positioned closest to the center of the interdigitated structure. A first defined number of a subset of the set of digits that is positioned closest to the ends of the interdigitated structure has a first width, and a remainder of the digits in the set of digits has a second width that is narrower than the first width.


The width of each digit in the set of digits gradually tapers from a widest width at digits positioned at ends of the interdigitated structure to a narrowest width at a digit positioned at a center of the interdigitated structure. The relative widths of the digits in the set of digits are determined in accordance with a magnetic H field distribution of the interdigitated structure. The width of a particular one of the set of digits is proportional to the amount of current carried by the particular one of the set of digits. The gaps between the digits in the set of digits are substantially uniform in size. The first plurality of conductive digits and the second plurality of conductive digits are formed from at least one of: copper, doped polysilicon, aluminum, or titanium nitride. The first plurality of conductive digits is formed from a first material, and the second plurality of conductive digits is formed from a second material that is different from the first material. The capacitor further includes at least one bar having a feeding point that is coupled to the interdigitated structure; and a first subset of the set of digits that is positioned closest to the feeding point has widths that are wider than a remainder of the set of digits.


According to another embodiment, a method for forming a capacitor is provided. The method includes: forming a first plurality of conductive digits and forming a second plurality of conductive digits positioned in an interlocking manner with the first plurality of conductive digits, such that an interdigitated structure is formed. The first plurality of conductive digits and the second plurality of conductive digits collectively form a set of digits, where the width of a first digit in the set of digits is non-uniform with respect to a second digit in the set of digits.


In various embodiments of the method, a first subset of the set of digits that is positioned closest to the ends of the interdigitated structure has widths that are wider than a second subset of the set of digits that is positioned closest to the center of the interdigitated structure. A first subset of the set of digits that is positioned closest to the ends of the interdigitated structure has widths that are three to five times wider than a second subset of the set of digits that is positioned closest to the center of the interdigitated structure. A first defined number of a subset of the set of digits that is positioned closest to the ends of the interdigitated structure has a first width, and a remainder of the digits in the set of digits has a second width that is narrower than the first width.


The width of the digits in the set of digits gradually tapers from a widest width at the ends of the interdigitated structure to a narrowest width at the center of the interdigitated structure. The relative widths of the digits in the set of digits are determined in accordance with a magnetic H field distribution of the interdigitated structure, and the width of a particular one of the set of digits is proportional to the amount of current carried by the particular one of the set of digits. At least one bar having a feeding point is coupled to the interdigitated structure, and a first subset of the set of digits that is positioned closest to the feeding point has widths that are wider than a remainder of the set of digits.


According to another embodiment, a capacitor includes a single interdigitated layer, wherein the single interdigitated layer comprises a first plurality of conductive digits and a second plurality of conductive digits positioned in an interlocking manner. The first plurality of conductive digits and the second plurality of conductive digits are positioned such that an interdigitated structure is formed.





BRIEF DESCRIPTION OF THE DRAWINGS

Accompanying drawings show exemplary embodiments in accordance with one or more aspects of the disclosure; however, the accompanying drawings should not be taken to limit the disclosure to the embodiments shown, but are for explanation and understanding only.



FIG. 1 is a plan view illustrating a first embodiment of an interdigitated capacitor;



FIG. 2 is a graph illustrating the magnetic H field distribution for a conventional interdigitated capacitor;



FIG. 3 is a plan view illustrating a fourth embodiment of an interdigitated capacitor;



FIG. 4 is a flow diagram illustrating one embodiment of a method for forming a capacitor;



FIG. 5 is a plan view illustrating a second embodiment of an interdigitated capacitor; and



FIG. 6 is a plan view illustrating a third embodiment of an interdigitated capacitor.





DETAILED DESCRIPTION OF THE DRAWINGS

An interdigitated capacitor having digits of varying width is disclosed. As discussed above, an interdigitated capacitor is a particular type of capacitor that produces capacitor-like, high-pass characteristics using long conductors or “digits.” One embodiment of an interdigitated capacitor includes a plurality of digits, where those digits located closer to the ends of the interdigitated structure are wider than those digits located closer to the center of the interdigitated structure. In a further embodiment, the width of the digits gradually tapers from a widest point at the ends of the interdigitated structure to a narrowest point at the center of the interdigitated structure. As discussed in greater detail below, this arrangement allows the digits to be lengthened so that the interdigitated capacitor structure can be applied to the bar and oxide layers, while increasing the capacitance density of the interdigitated capacitor.



FIG. 1 is a plan view illustrating a first embodiment of an interdigitated capacitor 100. Specifically, FIG. 1 illustrates the interdigitated capacitor 100 in the x and z dimensions. It is noted that FIG. 1 is not necessarily drawn to scale, and that the interdigitated capacitor 100 is not necessarily limited by the dimensions or quantities illustrated (which are meant primarily to facilitate the understanding of the reader).


As illustrated, the capacitor 100 comprises a first bar 106 and a second bar 108, which are positioned substantially parallel to each other. Extending from each of the first bar 106 and the second bar 108 are a plurality of digits 1101-110n (hereinafter collectively referred to as “digits 110”). Collectively, the digits 110 form an interlocked or interdigitated structure 104. Current is provided to the interdigitated structure via at least one “feeding point” or electrode 1121-1122 (hereinafter collectively referred to as “electrodes 112”) located on the first bar 106 and the second bar 108. In one embodiment, each of the first bar 106 and the second bar 108 includes an electrode (broadly a feeding point) 112 for providing current. It should be noted that the feeding point located on the bars 106 and 108 can be deployed at any positions on the bars, e.g., at the extreme ends of the bars, at the center of the bars, and any other locations between the extreme ends and the center of the bars.


In one embodiment, the digits 110 are formed of a conductive material such as copper, doped polysilicon, aluminum, or titanium nitride, among other potential materials. The composition of the digits 110 extending from the first bar 106 may differ from the composition of the digits extending from the second bar 108. The gaps between the digits 110 and the bars 106, 108 generally comprise a dielectric material such as silicon dioxide.


As illustrated, the width of the digits 110 is non-uniform from digit to digit (e.g., at least two or more digits have different widths). For example, in one embodiment, the digits 110 that are located closer to the ends of the interdigitated structure 104 (e.g., digits 1101, 1102, 110n-1, and 110n) are wider than the digits that are located closer to the center of the interdigitated structure 104 (e.g., digits 110n-m-1 and 110n-m). In one embodiment in particular, the digits 110 that are located closer to the ends of the interdigitated structure 104 are three to five times wider than the digits that are located closer to the center of the interdigitated structure 104.


In another embodiment, a specified number of digits 110 located closer to the ends of the interdigitated structure 104 are wider than a remainder of the digits 110 in the interdigitated structure. For example, moving from the ends of the interdigitated structure 104 to the center of the interdigitated structure 104, the first x digits 110 have a first width, while the remaining digits 110 have a second width that is narrower than the first width.


In yet another embodiment, the widths of the digits 110 gradually taper from a widest width W1 at the ends of the interdigitated structure 104 to a narrowest width W2 at the center of the interdigitated structure 104, such that the widths of the digits 110 residing at the intermediate points of the interdigitated structure 104 (i.e., between the ends and the center) have widths somewhere between W1 and W2.


In another embodiment still, the relative widths of the digits 110 are determined in accordance with the magnetic H field distribution of the interdigitated structure 104. FIG. 2, for example, is a graph illustrating the magnetic H field distribution for a conventional interdigitated capacitor. Specifically, FIG. 2 maps the magnitude of the current density (in kilo Amps per meter) to the distance (in micrometers) from the feeding location of the interdigitated structure (i.e., the point at which current is injected). As illustrated, the current density decreases as one moves from the ends of the interdigitated structure to the center of the interdigitated structure. By contrast, the distribution of the electrical field across the interdigitated structure is relatively uniform.


Thus, in one embodiment, the digits 110 closer to the center of the interdigitated structure 104 (i.e., the digits 110 that carry the least current) are made the narrowest (e.g., as narrow as the mechanical tolerances of the interdigitated capacitor 100 will allow). As one moves outward from the center of the interdigitated structure 104, the digits 110 are made proportionally wider as they carry more current, with the widest digits 110 being the digits 110 located closest to the ends of the interdigitated structure 104. This arrangement will increase the capacitance density of the interdigitated capacitor 100.


In another embodiment, the widest digits 110 are located closest to the electrodes 112. For example, in the exemplary embodiment illustrated in FIG. 1, the widest digits 1101 and 110n are also the closest digits to the electrodes 112, which are positioned at opposite ends of the first bar 106 and the second bar 108, respectively; the narrowest digits are the digits furthest from the electrodes 112 (e.g., digits 110n-m-1 and 110n-m). Thus, the widest digits 1101 and 110n are also positioned at opposite ends of the first bar 106 and the second bar 108, respectively.


By way of further example, FIG. 5 is a plan view illustrating a second embodiment of an interdigitated capacitor 500; FIG. 6 is a plan view illustrating a third embodiment of an interdigitated capacitor 600. In FIG. 5, the electrodes 5121-5122 (hereinafter collectively referred to as “electrodes 512”) are located on the same ends of the first bar 506 and the second bar 508, respectively (i.e., on the left-hand side of the illustration). Again, the widest digits 5101 and 5102 are also the closest digits to the electrodes 512; the narrowest digits are the digits furthest from the electrodes 512 (e.g., digit 510n). Thus, the widest digits 5101 and 5102 are also positioned on the same ends of the first bar 506 and the second bar 508, respectively (i.e., such that the digits 5101 and 5102 are next to each other).


In FIG. 6, the electrodes 6121-6122 (hereinafter collectively referred to as “electrodes 612”) are located at approximately the centers of the first bar 606 and the second bar 608, respectively. Again, the widest digit 610, is also the closest digit to the electrodes 612 (in this case, a single digit 610, that extends between the electrodes 612); the narrowest digits are the digits furthest from the electrodes 612 (e.g., digits 6101 and 610n).


In any of the above cases, the gaps G between the digits 110 remain substantially uniform. That is, although the widths of the digits 110 will vary, the size of the gaps G between the digits will not vary substantially.


As illustrated in FIG. 1, the interdigitated capacitor 100 can be formed with multiple layers. The configuration of the interdigitated capacitor 100, including the digits 110 of varying widths, allows the digits 110 to be lengthened to minimizes the space consumed by electrodes in the capacitor 100 (e.g., in the areas of the first bar 106 and second bar 108), while increasing the capacitance density of the interdigitated capacitor. Since the widths of the digits 110 carrying the most current (i.e., the digits closer to the ends of the interdigitated structure 104) are increased, these wider digits 110 will not see an increase in losses. Moreover, since the digits 110 closer to the center of the interdigitated structure 104 carry little to no current, the increase in the lengths of the digits 110 will not produce a significant increase in losses. Thus, the quality factor (or “Q factor”) of the capacitor 100 (i.e., the capacitor's capacitive reactance divided by the capacitor's equivalent series resistance) can be maintained.



FIG. 3 is a plan view illustrating a second embodiment of an interdigitated capacitor 300. Specifically, FIG. 1 illustrates the interdigitated capacitor 100 in the x and z dimensions. It is noted that FIG. 1 is not necessarily drawn to scale, and that the interdigitated capacitor 100 is not necessarily limited by the dimensions or quantities illustrated (which are meant primarily to facilitate the understanding of the reader).


As illustrated, the capacitor 300 comprises a first bar 306 and a second bar 308, which are positioned substantially parallel to each other. Extending from each of the first bar 306 and the second bar 308 are a plurality of digits 3101-310n (hereinafter collectively referred to as “digits 310”). Collectively, the digits 310 form an interlocked or interdigitated structure 304.


In one embodiment, the digits 310 are formed of a conductive material such as copper, doped polysilicon, aluminum, or titanium nitride, among other potential materials. The composition of the digits 310 extending from the first bar 306 may differ from the composition of the digits extending from the second bar 308. The gaps between the digits 310 and the bars 306, 308 generally comprise a dielectric material such as silicon dioxide.


As illustrated, the width of the digits 310 is non-uniform from digit to digit (e.g., at least two or more digits have different widths). In one embodiment, the widths of the digits 310 may be varied in any of the manners discussed above. Additionally, the length of the digits 310 is also non-uniform from digit to digit (e.g., at least two or more digits have different lengths). For instance, the lengths of the digits 310 may vary from a longest length of L1 to a shortest length of L2. In one embodiment, the lengths of the digits 310 are varied based on any of the criteria discussed above for varying the widths of the digits 310.



FIG. 4 is a flow diagram illustrating one embodiment of a method 400 for forming a capacitor. The method 400 may be implemented, for example, in order to form a capacitor such as the capacitors illustrated in FIGS. 1 and 3.


The method 400 is started in step 402. In step 404, a first plurality of conductive digits is formed, in which the widths of the digits vary from digit to digit. Optionally, the lengths of the digits may also vary from digit to digit. In one embodiment, the widths (and optionally lengths) of the digits are varied according to any of the criteria discussed above. The first plurality of conductive digits is connected by a first bar from which the digits extend in a spaced-apart manner. In one embodiment, the first plurality of conductive digits is formed of a conductive material such as copper, doped polysilicon, aluminum, or titanium nitride, among other potential materials. Gaps between the digits in the first plurality of conductive digits generally comprise a dielectric material such as silicon dioxide.


In step 406, a second plurality of conductive digits is formed, in which the widths of the digits vary from digit to digit. Optionally, the lengths of the digits may also vary from digit to digit. In one embodiment, the widths (and optionally lengths) of the digits are varied according to any of the criteria discussed above. The second plurality of conductive digits is connected by a second bar from which the digits extend in a spaced-apart manner. In one embodiment, the second plurality of conductive digits is formed of a conductive material such as copper, doped polysilicon, aluminum, or titanium nitride, among other potential materials. The second plurality of conductive digits need not necessarily be formed from the same conductive material as the first plurality of conductive digits. Gaps between the digits in the second plurality of conductive digits generally comprise a dielectric material such as silicon dioxide.


In step 408, the first plurality of conductive digits and the second plurality of conductive digits are positioned to form an interdigitated structure. This interdigitated structure forms the main structure of an interdigitated capacitor, as discussed above. Those skilled in the art will appreciate that the final interdigitated capacitor may comprise additional components such as electrodes.


The method 400 then ends in step 410.


While the foregoing describes exemplary embodiments in accordance with one or more aspects of the present disclosure, other and further embodiments in accordance with the one or more aspects of the present disclosure may be devised without departing from the scope thereof, which is determined by the claims that follow and equivalents thereof. Claims listing steps do not imply any order of the steps. Trademarks are the property of their respective owners.

Claims
  • 1. A capacitor comprising: a first plurality of conductive digits;a second plurality of conductive digits positioned in an interlocking manner with the first plurality of conductive digits such that an interdigitated structure is formed;wherein the first plurality of conductive digits and the second plurality of conductive digits collectively form a set of digits, and wherein a width of a first digit in the set of digits is non-uniform with respect to a second digit in the set of digits; anda first bar and a second bar coupled to the interdigitated structure wherein each of the first bar and the second bar has a feeding point at which current is injected;wherein each digit of the first plurality of conductive digits is coupled to the first bar at a single end;wherein each digit of the second plurality of conductive digits is coupled to the second bar at a single end;wherein digits coupled to the first bar and positioned closest to the feeding point of the first bar have widths that are wider than a remainder of the digits coupled to the first bar;wherein digits coupled to the second bar and positioned closest to the feeding point of the second bar have widths that are wider than a remainder of the digits coupled to the second bar; andwherein gaps between the digits in the set of digits are substantially uniform in size.
  • 2. The capacitor of claim 1, wherein: the digits coupled to the first bar and positioned closest to the feeding point of the first bar have widths that are wider than digits coupled to the first bar and positioned farthest from the feeding point of the first bar; andthe digits coupled to the second bar and positioned closest to the feeding point of the second bar have widths that are wider than digits coupled to the second bar and positioned farthest from the feeding point of the second bar.
  • 3. The capacitor of claim 1, wherein digits positioned closest to each feeding point have widths that are three to five times wider than digits positioned farthest from each feeding point of the same bar.
  • 4. The capacitor of claim 1, wherein: the feeding point of the first bar is located at an end of the first bar that is perpendicular to an end coupled to the first plurality of digits; andthe feeding point of the second bar is located at an end of the first bar that is perpendicular to an end coupled to the second plurality of digits.
  • 5. The capacitor of claim 1, wherein: for digits coupled to the first bar, the width of each digit gradually tapers from a widest width for the digit positioned closest to the feeding point of the first bar to a narrowest width for the digit positioned farthest away from the feeding point of the first bar; andfor digits coupled to the second bar, the width of each digit gradually tapers from a widest width for the digit positioned closest to the feeding point of the second bar to a narrowest width for the digit positioned farthest away from the feeding point of the second bar.
  • 6. The capacitor of claim 1, wherein the feeding point of the first bar is located at a center of the first bar and the feeding point of the second bar is located at a center of the second.
  • 7. The capacitor of claim 1, wherein the first plurality of conductive digits and the second plurality of conductive digits are formed from at least one of: copper, doped polysilicon, aluminum, or titanium nitride.
  • 8. The capacitor of claim 1, wherein the first plurality of conductive digits is formed from a first material, and the second plurality of conductive digits is formed from a second material that is different from the first material.
  • 9. A method for forming a capacitor, the method comprising: forming a first plurality of conductive digits;forming a second plurality of conductive digits positioned in an interlocking manner with the first plurality of conductive digits such that an interdigitated structure is formed;wherein the first plurality of conductive digits and the second plurality of conductive digits collectively form a set of digits, and wherein a width of a first digit in the set of digits is non-uniform with respect to a second digit in the set of digits; andforming a first bar and a second bar coupled to the interdigitated structure wherein each of the first bar and the second bar has a feeding point at which current is infected;wherein each digit of the first plurality of conductive digits is coupled to the first bar at a single end;wherein each digit of the second plurality of conductive digits is coupled to the second bar at a single end;wherein digits coupled to the first bar and positioned closest to the feeding point of the first bar have widths that are wider than a remainder of the digits coupled to the first bar;wherein digits coupled to the second bar and positioned closest to the feeding point of the second bar have widths that are wider than a remainder of the digits coupled to the second bar; andwherein gaps between the digits in the set of digits are substantially uniform in size.
  • 10. The method of claim 9, wherein: the digits coupled to the first bar and positioned closest to the feeding point of the first bar have widths that are wider than digits coupled to the first bar and positioned farthest from the feeding point of the first bar; andthe digits coupled to the second bar and positioned closest to the feeding point of the second bar have widths that are wider than digits coupled to the second bar and positioned farthest from the feeding point of the second bar.
  • 11. The method of claim 9, wherein digits positioned closest to each feeding point have widths that are three to five times wider than digits positioned farthest away from each feeding point of the same bar.
  • 12. The method of claim 9, wherein: the feeding point of the first bar is located at an end of the first bar that is perpendicular to an end coupled to the first plurality of digits; andthe feeding point of the second bar is located at an end of the first bar that is perpendicular to an end coupled to the second plurality of digits.
  • 13. The method of claim 9, wherein: for digits coupled to the first bar, the width of each digit gradually tapers from a widest width for the digit positioned closest to the feeding point of the first bar to a narrowest width for the digit positioned farthest away from the feeding point of the first bar; andfor digits coupled to the second bar, the width of each digit gradually tapers from a widest width for the digit positioned closest to the feeding point of the second bar to a narrowest width for the digit positioned farthest away from the feeding point of the second bar.
  • 14. The method of claim 9, wherein the feeding point of the first bar is located at a center of the first bar and the feeding point of the second bar is located at a center of the second bar.
  • 15. A capacitor comprising: a single interdigitated layer, wherein the single interdigitated layer comprises: a first plurality of conductive digits; anda second plurality of conductive digits positioned in an interlocking manner with the first plurality of conductive digits such that an interdigitated structure is formed;wherein the first plurality of conductive digits are coupled to a first bar comprising a first electrode;wherein the second plurality of conductive digits are coupled to a second bar comprising a second electrode;wherein a subset of the first plurality of digits coupled to the first bar and positioned closest to the first electrode has widths that are wider than a remainder of the first plurality of digits;wherein a subset of the second plurality of digits coupled to the second bar and positioned closest to the second electrode has widths that are wider than a remainder of the second plurality of digits; andwherein gaps between the digits in a set of digits formed of the first plurality of conductive digits and the second plurality of conductive digits collectively are substantially uniform in size.
  • 16. The capacitor of claim 15, wherein: the first electrode is located at a center of the first bar; andthe second electrode is located at a center of the second bar.
  • 17. The capacitor of claim 15, wherein: the first electrode is located at an end of the first bar that is perpendicular to an end coupled to the first plurality of digits; andthe second electrode is located at an end of the second bar that is perpendicular to an end coupled to the second plurality of digits.
US Referenced Citations (117)
Number Name Date Kind
1899176 Bailey Feb 1933 A
3593319 Barber Jul 1971 A
4156249 Koo May 1979 A
4249196 Durney et al. Feb 1981 A
4409608 Yoder Oct 1983 A
4427457 Carlson et al. Jan 1984 A
4470096 Guertin Sep 1984 A
4470099 Sawairi Sep 1984 A
4571543 Raymond et al. Feb 1986 A
4639686 Beckenbach et al. Jan 1987 A
4700457 Matsukawa Oct 1987 A
4731696 Himes et al. Mar 1988 A
4827323 Tigelaar et al. May 1989 A
4831431 Hanlon May 1989 A
4878151 Gallichio Oct 1989 A
4914546 Alter Apr 1990 A
4937649 Shiba et al. Jun 1990 A
4994688 Horiguchi et al. Feb 1991 A
5005103 Kwon et al. Apr 1991 A
5021920 Smith Jun 1991 A
5077225 Lee Dec 1991 A
5083184 Eguchi Jan 1992 A
5089878 Lee Feb 1992 A
5117114 Street et al. May 1992 A
5119169 Kozono et al. Jun 1992 A
5142639 Kohyama et al. Aug 1992 A
5155658 Inam et al. Oct 1992 A
5166858 Frake et al. Nov 1992 A
5172299 Yamada et al. Dec 1992 A
5177410 Hashiguchi et al. Jan 1993 A
5189594 Hoshiba Feb 1993 A
5208725 Akcasu May 1993 A
5275974 Ellul et al. Jan 1994 A
5583359 Ng et al. Dec 1996 A
5712813 Zhang Jan 1998 A
5868388 Wood et al. Feb 1999 A
5939766 Stolmeijer et al. Aug 1999 A
6037621 Wilson Mar 2000 A
6064108 Martinez May 2000 A
6066537 Poh May 2000 A
6297524 Vathulya et al. Oct 2001 B1
6303456 Pricer et al. Oct 2001 B1
6303457 Christensen et al. Oct 2001 B1
6383858 Gupta et al. May 2002 B1
6385033 Javanifard et al. May 2002 B1
6410954 Sowlati et al. Jun 2002 B1
6417556 Long et al. Jul 2002 B1
6542351 Kwang Apr 2003 B1
6570210 Sowlati et al. May 2003 B1
6597562 Hu et al. Jul 2003 B1
6625006 Aram et al. Sep 2003 B1
6653681 Appel Nov 2003 B2
6661079 Bikulcius Dec 2003 B1
6690570 Hajimiri et al. Feb 2004 B2
6737698 Paul et al. May 2004 B1
6747307 Vathulya et al. Jun 2004 B1
6765778 Du et al. Jul 2004 B1
6819542 Tsai et al. Nov 2004 B2
6822312 Sowlati et al. Nov 2004 B2
6880134 Drennan Apr 2005 B2
6882015 Bernstein et al. Apr 2005 B2
6897505 Aton May 2005 B2
6903918 Brennan Jun 2005 B1
6927125 Jones et al. Aug 2005 B2
6933551 Stribley et al. Aug 2005 B1
6933869 Starr et al. Aug 2005 B1
6949781 Chang et al. Sep 2005 B2
6963122 Soenen et al. Nov 2005 B1
6972463 Cheng Dec 2005 B2
6974744 Aram et al. Dec 2005 B1
7009832 Chen et al. Mar 2006 B1
7013436 Morton et al. Mar 2006 B1
7027287 Georgakos Apr 2006 B2
7038296 Laws May 2006 B2
7050290 Tang et al. May 2006 B2
7116544 Sutardja Oct 2006 B1
7154734 Schultz et al. Dec 2006 B2
7161228 Pettit Jan 2007 B1
7170178 Bely et al. Jan 2007 B2
7193263 Barth Mar 2007 B2
7195971 Bernstein et al. Mar 2007 B2
7202548 Lee Apr 2007 B2
7205854 Liu Apr 2007 B2
7259945 Cleveland Aug 2007 B2
7259956 Fong et al. Aug 2007 B2
7271465 Jessie et al. Sep 2007 B2
7274085 Hsu et al. Sep 2007 B1
7298001 Liu Nov 2007 B1
7348624 Sakaguchi et al. Mar 2008 B2
7394274 Muniandy et al. Jul 2008 B2
7485914 Huang et al. Feb 2009 B2
7564264 Morrison et al. Jul 2009 B1
7663233 Lim Feb 2010 B2
7768054 Benetik Aug 2010 B2
7944732 de Jong et al. May 2011 B2
7956438 Quinn Jun 2011 B2
7994609 Quinn Aug 2011 B2
7994610 Quinn Aug 2011 B1
8207592 Quinn Jun 2012 B2
8362589 Quinn Jan 2013 B2
20030132475 Kanamori Jul 2003 A1
20030183884 Miyazawa Oct 2003 A1
20050077581 Chang et al. Apr 2005 A1
20050135042 Chiu-Kit Fong et al. Jun 2005 A1
20050161725 Da Dalt Jul 2005 A1
20060203424 Chen et al. Sep 2006 A1
20070096720 Clements et al. May 2007 A1
20070181973 Hung et al. Aug 2007 A1
20070190760 Coolbaugh et al. Aug 2007 A1
20070278551 Anthony Dec 2007 A1
20070296013 Chang et al. Dec 2007 A1
20080239619 Okamoto et al. Oct 2008 A1
20090057826 Kim et al. Mar 2009 A1
20100125989 Huang et al. May 2010 A1
20100127348 Quinn May 2010 A1
20100127349 Quinn May 2010 A1
20120229203 Sadoughi et al. Sep 2012 A1
Foreign Referenced Citations (26)
Number Date Country
25 48 563 May 1977 DE
100 46 910 Oct 2001 DE
10145 462 Apr 2003 DE
1 149 569 Apr 1969 GB
1 469 944 Apr 1977 GB
57-106804 Jul 1982 JP
58-051552 Mar 1983 JP
59-91718 Jun 1984 JP
61-259560 Nov 1986 JP
61-263251 Nov 1986 JP
63-070550 Mar 1988 JP
01084616 Mar 1989 JP
01096943 Apr 1989 JP
01-313917 Dec 1989 JP
01298322 Dec 1989 JP
02231755 Sep 1990 JP
02-268439 Nov 1990 JP
02-307275 Dec 1990 JP
03-008360 Jan 1991 JP
03-071612 Mar 1991 JP
04-268756 Sep 1992 JP
07-283076 Oct 1995 JP
09199973 Jul 1997 JP
11274887 Oct 1999 JP
2001267503 Sep 2001 JP
WO 03090280 Oct 2003 WO
Non-Patent Literature Citations (14)
Entry
Aparicio, R., et al., Capacity Limits and Matching Properties of Integrated Capacitors, IEEE Journal of Solid-State Circuits, vol. 37, No. 3, Mar. 2002, pp. 384-393.
Amintoosi et al., “Using pattern matching for tiling and packing problems” European Journal of Operational Research, Amsterdam, NL, vol. 83, No. 3, Jul. 10, 2007, pp. 950-960.
Aparicio and Hajimiri, “Capacity Limits and Matching Properties of Integrated Capacitors”, IEEE J. Solid-State circuits, vol. 37, No. 3, pp. 384-93, Mar. 2002.
Chan et al., “Analysis of MMIC Structures Using an Efficient Iterative Approach”, IEEE Transactions on Microwave Theory and Techniques, vol. 36, No. 1, Jan. 1988, pp. 96-105.
Fukuda, H. et al., “Enumeration of Polyominoes, Polyiamonds and Polyhexes for Isohedral Tilings with Rotational Symmetry”, Jun. 11, 2007, Computational Geometry and Graph Theory, Springer Berlin Heidelberg, Berlin Heidelberg, pp. 68-78.
Imamura et al., “Bending-Comb capacitor with a Small Parasitic Inductance”, 2002 Symposium on VLSI Circuits Digest of Technical Papers, IEEE 2002, Jun. 13-15, 2002, pp. 22-25.
Jacobsen, Jesper, Lykke “Tetromino tilings and the Tutte polynomial”, Journal of Physics A: Mathematical and Theoretical, vol. 40, No. 7, Feb. 16, 2007. pp. 1439-1446.
Rajagopalan et al., “Optimization of Metal-Metal Comb-Capacitors for RF Applications”, Wireless Design & Development, Mar. 4, 2001, pp. 1-4.
Rhoads et al., “Planar tilings by polyominoes, polyhexes and polyiamonds”, Journal of Computational and Applied Mathematics, Amsterdam, NL, vol. 174, No. 2, Feb. 15, 2005, pp. 329-353.
Samavati, H. et al., “Fractal Capacitor”, IEEE Journal of Solid-State Circuit, vol. 33, No. 12 pp., 2035-2041, Dec. 1998.
Sowlati et al., “High Density Capacitance Structures in Submicron CMOS for Low Power RF Applications”, International Symposium on Low Power Electronics and Design, 2001, Aug. 6-7, 2001, pp. 243-246.
Wakayama et al., “A 30-MHz Low-Jitter High-Linearity CMOS Voltage-Controlled Oscillator”, IEEE Journal of Solid-State Circuits, vol. sc-22, No. 6, Dec. 1987, pp. 1074-1081.
Bersuker, G. et al., Mechanism of Electron Trapping and Characteristics of Traps in HfO2 Gate Stacks, IEEE Transactions on Device and Materials Reliability, vol. 7, No. 1, Mar. 2007, pp. 138-145.
Keane, J. et al., “An On-Chip NBTI Sensor for Measuring pMOS Threshold Voltage Degradation”, IEEE Transactions on Very Large Scale Integration (VLSI) Systems, 1-10.
Related Publications (1)
Number Date Country
20130063861 A1 Mar 2013 US