This invention relates to planar inductors and methods of manufacture of the same as well as their use in semiconductor devices such as integrated circuits.
Planar inductors are frequently used where an inductor is required which occupies minimal space. Typically, a planar inductor comprises a conductive track, in the form of a spiral pattern, which is laid on a substrate. Connections are made to each end of the spiral track. Planar inductors can be realized as discrete elements using thin-film technologies, or as integrated components using integrated circuit (IC) manufacturing processes. Planar inductors are often used in radio frequency (RF) circuitry to achieve functions such as voltage controlled oscillators (VCOs) and low noise amplifiers (LNAs).
There is a requirement, in some applications, to make a further electrical connection to an intermediate point of the conductive track. This can be a mid-point.
It is desirable for a planar inductor to have a high quality (Q) factor. However, the quality factor can be degraded by current crowding, resulting from the preference of the RF current to take the path of least inductance instead of that of least resistance at elevated frequency. This current crowding is caused by the “skin” and “proximity” effects and results in a significant increase in the resistance seen in series with the inductor. In order to reduce this current crowding it has been proposed to divide the spiral inductor into several current paths which are electrically in parallel with one another, each path having an identical resistance and inductance. WO 03/015110 describes a planar inductor of this type.
The present invention seeks to provide a further type of connection to an intermediate point of a planar inductor.
A first aspect of the present invention provides a planar inductor comprising:
a conductive path in the form of a spiral pattern, and
a conductive connecting path which connects a terminal to an intermediate tap point along the conductive path, the connecting path comprising a portion which is radially directed with respect to the spiral pattern.
The provision of a connecting path which is, at least in part, radially directed helps to minimise any disturbance to the current flow in the main conductive path of the inductor.
The connecting path can be routed via the inside of the spiral pattern. The connecting path can comprise only radially-directed path portions, in which case path portions from one or more intermediate tap points are commonly joined at the centre of the spiral pattern. Each path portion connects to the desired intermediate tap point of its respective conductive path.
As an alternative to providing an entirely radial connecting path, the connecting path can comprise an additional section of track which is parallel to the conductive path which forms the spiral pattern. This has an advantage of reducing the length of the connecting path, and thereby reduces the resistance of the connecting path. Where there are a plurality of conductive paths, a separate radially-directed path portion connects an intermediate point on each conductive path with the additional section of track.
Preferably, where an additional section of track is used which is aligned with the spiral pattern, the position of the intermediate point is adjusted to compensate for the effects of current passing along the track.
The intermediate point can be a mid-point or any other desired position along the length of the conductive path.
While the spiral pattern is shown in the accompanying drawings as being a generally circular pattern, it will be appreciated that it can be square, rectangular, elliptical, octagonal or indeed any other shape. Thus, the term ‘radially-directed’ is to be construed as being directed towards the centre of the pattern, whatever shape it has.
The present invention does not only apply to planar inductors, but it can be applied to planar transformers as well.
Embodiments of the invention will be described with reference to the accompanying drawings in which:
The present invention will be described with respect to particular embodiments and with reference to certain drawings but the invention is not limited thereto but only by the claims. The drawings described are only schematic and are non-limiting. In the drawings, the size of some of the elements may be exaggerated and not drawn on scale for illustrative purposes. Where the term “comprising” is used in the present description and claims, it does not exclude other elements or steps. Where an indefinite or definite article is used when referring to a singular noun e.g. “a” or “an”, “the”, this includes a plural ofthat noun unless something else is specifically stated.
The term “comprising”, used in the claims, should not be interpreted as being restricted to the means listed thereafter; it does not exclude other elements or steps. Thus, the scope of the expression “a device comprising means A and B” should not be limited to devices consisting only of components A and B. It means that with respect to the present invention, the only relevant components of the device are A and B.
Furthermore, the terms first, second, third and the like in the description and in the claims, are used for distinguishing between similar elements and not necessarily for describing a sequential or chronological order. It is to be understood that the terms so used are interchangeable under appropriate circumstances and that the embodiments of the invention described herein are capable of operation in other sequences than described or illustrated herein.
Moreover, the terms top, bottom, over, under and the like in the description and the claims are used for descriptive purposes and not necessarily for describing relative positions. It is to be understood that the terms so used are interchangeable under appropriate circumstances and that the embodiments of the invention described herein are capable of operation in other orientations than described or illustrated herein.
Referring to
Each of the spiral paths comprises a series of the semi-circular segments, with selected pairs of segments being interconnected by links, one of which is shown as 55. Considering one of the parallel paths, this starts at first terminal 51 and includes segments 53A, 53B, 53C and 54D before finishing at terminal 52. Similarly, the second parallel path also starts at terminal 51 and comprises segments 54A, 54B, 54C, 54D before finishing at terminal 52. Links 55 can be realised as short conductive tracks formed on a different layer of the structure, with vias 56 providing a connecting path between the different layers.
The planar inductor can be manufactured from a thick Al layer (having a typical thickness of several microns) which is patterned by etching.
The interconnections between the segments of the inductor can be made by W or Al plugs. Because of the low resistivity of Cu, it is advantageous to use Cu for both for the segments and for the interconnections. Preferably a Cu Damascene process is used. First a groove is formed in the dielectric (e.g. silicon oxide or a low-k material like BCB). A barrier layer is deposited such as TaN. Subsequently a Cu layer is electro plated to a thickness in the range of 500 nm to 5 micron.
The Cu is chemical mechanical polished (CMP), in which the Cu is removed from the planar surface and a Cu pattern in the groove is formed. The Cu pattern in the grooves is the track of the inductor.
In a dual Damascene Cu process, both the tracks as well as the connections (vias) are etched in the dielectric and are subsequently filled with a barrier layer and Cu.
The planar inductor may be manufactured in the back-end of a standard CMOS process or deposited on top of the final product. In a 0.13 μm CMOS process a typical 3 μm thick copper top metal layer pattern is used. From a manufacturing point of view, it is advantageous to use several parallel tracks with a small width. For instance, 8 tiny 3 μm wide tracks suffer much less from CMP dishing (in a Damascene process) than one big 24 μm wide track. A reduced dishing allows lower values for the resistance. The semi-circular track segments are interconnected in a symmetrical configuration. The interconnections comprise a via and a metal track. The resistance is kept as low as possible by using Cu in the via and for the metal track. Preferably the same material having a low resistivity is used in the via and as metal track, so that contact resistances are minimized.
The mid-point of the first spiral path is shown by cross 61A. The mid-point is the point that is exactly mid-way along the total inductance of the first spiral path between terminals 51, 52. Similarly, the mid-point of the second spiral path is shown by cross 61B. This again is the point that is exactly mid-way along the total inductance of the second spiral path between terminals 51, 52.
The mid-point is defined here as the point where the impedance at the intended operating frequency is half of its total value. This point can be approximated by taking the mid-point as the point where the inductance is half of its total value.
A connecting link 62A connects the mid-point 61A of the first spiral pattern to a centre point 64 of the overall inductor pattern. A fer connecting link 62B connects the mid-point 61B of the second spiral path to centre point 64. Each of the connecting links 62A, 62B is directed radially with respect to the overall pattern, i.e. perpendicular to each of the current-carrying semicircular track segments that it crosses. The radial paths 62 are oriented in such a way that the inductive coupling to the spiral inductor is equal to zero.
A further radially directed connecting link 63 extends between centre point 64 and the external terminal 60 from where a connection can be made to other integrated or external components. Conveniently, link 63 is aligned with the gaps that exist between neighbouring semicircular segments and can be formed on the same layer of the structure as the semi-circular segments. A mid-point is required for a differential negative resistance oscillator such as described in fig. 16.31 in the book “The design of CMOS radio frequency integrated circuits” by T. H. Lee, Cambridge University Press 1998.
This arrangement is based on an understanding that connections between points of the inductor experience the influence of the magnetic field of the coil. This magnetic field causes induced voltages which can result in a current that may disturb the normal current distribution over the parallel spiral current paths. This induced voltage only appears in interconnecting paths which are circumferentially directed, i.e. paths which are more or less parallel to the coil windings, and not in radial paths. Thus, the mid-points 61A, 61B are connected to the external terminal 60 only via paths 62A, 62B, 63 that are radially directed.
A further conducting track 85 is laid alongside the innermost annular ring of the inductor. A first connecting link 83A connects a point 82A of the first spiral pattern to a point 84A on the track 85. Link 83A is radially directed with respect to the spiral pattern, i.e. it perpendicularly crosses the current-carrying segments. Similarly, a further connecting link 83B connects a point 82B of the second spiral path to a point 84B on the track 85. For reasons that will be explained below, points 82A, 82B are not the mid-points of their respective spiral paths. A further radially directed connecting link 87 extends between external terminal 60 and a point on track 85 which is radially aligned with the link 87. Conveniently, link 87 is aligned with the gaps that exist between neighbouring semicircular segments. Conducting track 85 only requires a length which is sufficient to join points 84A, 84B and 86 and does not need to be any longer.
In the arrangement shown in
Below is an example of such a calculation.
The self and mutual inductances Mij of the inductor loops of the inductor of
The numbering starts at loop segment 85 and ends at the loop 53A-54D. The voltage across each of the loops can now be calculated using:
Vi=jωΣj=15MijIj (1)
where we have neglected the resistance of the loops. We see that the voltage V across each loop is a function of the currents flowing in all loops. Lets assume an RF current with a frequency ω of 109 and an RMS value of 2 Ampere is forced between the inductor contacts 51 and 52 and that this current splits equally between the two electrically parallel paths and the current in the segments 83A, 83B and 85 is zero. We than have I1=0 and I2=I3=I4=I5=1 A. Using equation (1) we find that the RMS values of the voltages induced over the five loops are V1=0.80, V2=1.29, V3=1.57, V4=1.71, and V5=1.67 Volt. These voltages apply to the full 360 degree loop. Adding the voltage across the half loops 2,3,4, and 5 we find that voltage induced between the inductor contacts will be 3.12 Volt. Since the corresponding current is 2 A, we conclude that the inductance seen between contacts 51 and 52 is 1.56 nH for this particular inductor. Similarly we can calculate that the voltage between the connection from 53B to 53C and the contact 51 is 1.48 Volt, and the voltage between the connection from 54B to 54C and the contact 51 is 1.43 Volt. The midpoints 61A and 61B should be located where the voltage is 1.56 Volt. Since the total voltage drop across loop 3=1.57 V it is easily calculated that midpoint 61A is 19 degrees to the left of the connection from 53B to 53C, and since the total voltage drop across loop 4=1.71 V it is easily calculated that midpoint 61B is 27 degrees to the left of the connection from 54B to 54C. We will now calculate the preferred position of the connecting lines 82A-83A-84A and 82B-83B-84B. The desired midpoint voltage at position 86 is 1.56 Volt. The voltages at point 84A and 84B will be: V84A=1.56+0.80X and V84B=1.56+0.80Y, where X and Y denote the required angular extends of the loop 85. Similarly the voltages at point 82A and 82B will be: V82A=1.48+1.57X and V82B=1.43+1.71Y.
To fulfill the initial assumption made in this calculation that the high frequency currents in the connecting lines 83A and 83B are zero we require V82A=V84A and V82B=V84B. Solving this gives X=0.1038 and Y=0.1428, which implies that the connecting lines 83A and 83B need to be located at angles of 37 and 51 degrees to the left of the midpoint connection 60.
In
In the above described embodiments connections are made to the mid-points of each spiral path. However, the invention is not limited just to mid-points, but can be applied to connections to any intermediate point along the length of the spiral paths. The spiral pattern is shown here as being formed by semi-circular segments (which together form annular rings), but the overall shape of the segments can be square, rectangular, elliptical, octagonal or indeed any other shape. The segments need not be semi-circular, but may be quadrants, as shown in
While the radial interconnecting path offers the ideal connection, the interconnecting path can have a direction which is not entirely radial, i.e. it has a significant radial component and a smaller component which is directed parallel to the tracks forming the spiral path. Preferably, where a path which is not entirely radial is used the position of the intermediate point is varied to accommodate any effect.
In the above described embodiments, two parallel paths are shown between the end terminals, with connections being made to intermediate points of both paths. The invention can be applied to any number of parallel paths although, for reasons of maintaining a balance between the parallel paths, it is preferred for the parallel paths to be provided in multiples of two.
Referring back to
The principles of the present invention can also be applied to all interconnections that are in the vicinity of the inductor, even if the interconnection is not intended for connection to the inductor.
The invention is not limited to the embodiments described herein, which may be modified or varied without departing from the scope of the invention.
Number | Date | Country | Kind |
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04102916.6 | Jun 2004 | EP | regional |
Filing Document | Filing Date | Country | Kind | 371c Date |
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PCT/IB05/52006 | 6/17/2005 | WO | 00 | 12/22/2006 |