# Patent

## Title
Inductor circuit with a magnetic interface

## Abstract

An inductor circuit includes a magnetic interface generator that generates a magnetic interface at a center frequency f0. The magnetic interface generator is a passive array of spirals that are deposited on one layer of a multi-layer substrate. The magnetic interface is generated in a plane at a distance Z above the surface of the substrate layer that it is printed on, where the antenna is printed on a second layer of the multi-layer substrate. The distance Z where the magnetic interface is created is determined by the cell size of the spiral array, where the cell size is based on the spiral arm length and the spacing S between the spirals. The center frequency of the magnetic interface is determined by the average track length DAV of the spirals in the spiral array. The spacing S of the spiral array is chosen to project the magnetic interface to the second layer in the multi-layer substrate so as to effect performance of an inductor that printed on the second layer.

## Background
CROSS-REFERENCE TO RELATED APPLICATIONS
This application is a continuation of U.S. patent application Ser. No. 10/226,310, filed Aug. 23, 2002 now U.S. Pat. No. 6,853,350, which claims the benefit of U.S. Provisional Application Ser. No. 60/314,166, filed Aug. 23, 2001, both of which are incorporated herein by reference in their entireties.


BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention generally relates to a magnetic interface, and antenna applications of the same.
2. Related Art
Radio frequency and microwave integrated circuits (collectively called RFICs herein), include active components and passive components that are printed or deposited on a suitable substrate. The various active and passive components are connected together with transmission lines. Exemplary transmission lines include microstrip transmission line, stripline, and/or co-planar waveguide transmission line.
Active components typically include one or more transistors that require DC bias for proper operation. Examples of active circuits include amplifiers, oscillators, etc. Passive components do not require DC bias for proper operation. Examples of passive components include inductors and capacitors, which can be configured as filters, multiplexers, power dividers, phase shifters, etc., and other passive circuits. Passive components are also incorporated in the bias circuitry of active components.
Inductors are an important building block for many passive components. They can be generally classified into two categories, namely discrete inductors and printed inductors. Discrete inductors (e.g., leaded inductors, surface mounted inductors, and air coil inductors) are generally packaged in containers having terminals that are electrically connected to a substrate using solder or epoxy. In contrast, printed inductors are not packaged in a container. Instead, printed inductors have patterns of conductive material that are printed or deposited directly on the substrate. The patterns of conductive material are often called spiral arms, or traces.
The integration of discrete inductors onto a substrate requires expensive assembly techniques. Therefore, RFICs that have discrete inductors are more costly to manufacture than those using printed inductors. Accordingly, it is desirable to use printed inductors in RFICs whenever possible to minimize cost and assembly time.
Unfortunately, replacing discrete inductors with less expensive printed inductors typically requires a tradeoff in circuit footprint. Conventional printed inductors are typically larger than their discrete inductor counterparts for a given inductance value. Furthermore, printed inductors are typically unshielded, and therefore receive and radiate unintentional electromagnetic radiation through the substrate. As a consequence, conventional printed inductors need to be spaced at a some distance from other electronic components on the substrate in order to minimize electromagnetic interaction with other electronic components (including other inductors).
Therefore, what is needed is a printed inductor configuration that produces a high inductance value, but that minimizes substrate area, and unintentional radiation with other components.
SUMMARY OF THE INVENTION
The present invention is an antenna having a magnetic interface generator that generates a magnetic interface at a center frequency f0. The magnetic interface generator is a passive array of spirals that are deposited on a substrate surface. The magnetic interface is generated in a plane at a distance Z above the surface of the substrate. The distance Z where the magnetic interface is created is determined by the cell size of the spiral array, where the cell size is based on the spiral arm length and the spacing S between the spirals. The center frequency f0 of the magnetic interface is determined based on the average track length DAV of the spirals in the spiral array.
The spiral array is one layer in a multi-layer substrate. The spacing S of the spiral array is chosen to project the magnetic interface to a second layer in the multi-layer substrate so as to improve performance of an antenna that printed on the second layer in the plane of the magnetic interface. The magnetic interface is able to increase the gain, matching, and bandwidth of the antenna (e.g. microstrip antenna) that is printed in the plane of the magnetic interface. Alternatively, for a given antenna gain value, the circuit footprint of the respective component can be reduced by using the spiral array to generate the magnetic interface, thereby increasing circuit density and reducing the per unit manufacturing cost.
Furthermore, the magnetic interface reduces transverse electric (TE) and transverse magnetic (TM) surface waves that lead to unwanted coupling between adjacent transmission lines (e.g. microstrip lines) on a substrate that may feed the antenna. TE and TM surface waves are reduced because the magnetic interface appears as an equivalent lowpass structure to the surface waves. The result is that unwanted coupling is reduced between adjacent transmission lines by the magnetic interface, allowing for an increase in circuit densities.
Further features and advantages of the present invention, as well as the structure and operation of various embodiments of the present invention, are described in detail below with reference to the accompanying drawings.



BRIEF DESCRIPTION OF THE DRAWINGS
The present invention is described with reference to the accompanying drawings. In the drawings, like reference numbers indicate identical or functionally similar elements. Additionally, the left-most digit(s) of a reference number identifies the drawing in which the reference number first appears.
FIG. 1A illustrates an electric field incident on a perfect electrical conductor.
FIG. 1B illustrates an electric field incident on a perfect magnetic conductor.
FIG. 1C illustrates a charge Q above a perfect electrical conductor.
FIG. 1D illustrates a charge Q above a perfect magnetic conductor.
FIG. 1E illustrates a current above a perfect electrical conductor.
FIG. 1F illustrates a current above a perfect magnetic conductor.
FIG. 2A illustrates the reflection coefficient associated with an electric field that is incident on a load surface RL.
FIG. 2B illustrates a plot of reflection coefficient versus RL.
FIG. 3A illustrates a variable Γ interface that produces variable reflection coefficients.
FIG. 3B illustrates an exemplary spiral on the variable Γ interface.
FIG. 3C illustrates a cross-section of the variable Γ interface.
FIGS. 4A-4D illustrate a magnetic interface generator that includes an array of spirals according to one embodiment of the invention.
FIG. 5 and FIG. 6 illustrate exemplary spirals according to embodiments of the present invention.
FIG. 7A illustrates a conventional printed circuit inductor.
FIG. 7B illustrates admittance values over frequency for the conventional printed inductor in FIG. 7A.
FIGS. 8A and 8B illustrate an inductor circuit 800 that utilizes a magnetic interface to increase the effective inductance according to embodiments of the present invention.
FIG. 9A illustrates example plots of the normalized inductive impedance L (ω) for the inductor circuits 700 and 800.
FIG. 9B illustrates the phase of the reflection coefficient for the spiral array 400 in the inductor circuit 800 according to embodiments of the present invention.
FIG. 9C illustrates an equivalent circuit for an inductor with a magnetic interface according to embodiments of the invention.
FIG. 9D illustrates an equivalent circuit for a conventional inductor without a magnetic interface.
FIGS. 10A and 10B illustrate conventional coupled microstrip lines.
FIGS. 11A and 11B illustrate a microstrip circuit 1100 that utilizes a magnetic interface to reduce the crosstalk between mircostrip lines according to embodiments of the present invention.
FIG. 12 illustrates the equivalent circuit that is seen by surface waves when using the magnetic interface according to embodiments of the present invention.
FIG. 13 represents TE and TM surface wave propagation on a substrate when using a magnetic interface according to embodiments of the present invention.
FIG. 14 illustrates coupling between parallel microstrip lines without using a magnetic interface.
FIG. 15 illustrates coupling between parallel microstrip lines with a magnetic interface according to embodiments of the present invention.
FIG. 16 illustrates reflection and transmission s-parameters for coupled microstrip lines that do not have the magnetic interface.
FIG. 17 illustrates reflection and transmission s-parameters for coupled microstrip lines that do have the magnetic interface according to embodiments of the present invention.
FIGS. 18A and 18B illustrate a mircostrip patch antenna that utilizes a magnetic interface to increase the antenna gain according to embodiments of the present invention.
FIG. 19 compares the antenna gain for a patch antenna with and without the magnetic interface described herein.
FIG. 20 compares the return loss for a microstrip patch antenna with and without the magnetic interface.



DETAILED DESCRIPTION OF THE EMBODIMENTS
1. Properties of Electric and Magnetic Conductors
Before describing the invention in detail, it is useful to describe some properties of electric and magnetic conductors. FIG. 1A illustrates a perfect electric conductor (PEC) 106, and FIG. 1B illustrates a perfect magnetic conductor (PMC) 110. When an incident electric field (Ei) 102 hits the PEC 106, a reflected electric field (Er) 104 is generated that is equal in amplitude and opposite in phase. Therefore, at the surface of PEC 106, the total electric field (ET) is 0, which is consistent with a short circuit. When the incident electric field (Ei) 102 hits the PMC 110, a reflected electric field (Er) 108 field is generated that is equal in amplitude and also equal in-phase with the Ei 102. Therefore, at the surface of the PMC 110, the total electric field is double that of the Ei 102.
Referring to FIG. 1C, when a charge Q+ 112 is placed at a distance d above the PEC 106, then a charge Q− 114 is generated on the otherside of the PEC 106 that is the negative of Q+ 112. As d approaches 0, then the Q+ 112 and Q− 114 cancel each other on the surface of the PEC 106, which is consistent with a short circuit. However, when the charge Q+ 112 is placed above the PMC 110 (FIG. 1D), then a charge Q+ 116 is generated that is equal to Q+ 112 and has the same sign. Therefore, as d approaches 0, then the Q+ 112 and Q+ 116 add together on the surface of the PEC 106, to double the charge on the surface of the PMC 110.
Referring to FIG. 1E, an inductor 118 having an inductance L+ is placed above the PEC 106 at a distance d, where the inductor 118 is a wire loop carrying a charge 119. Based on the discussion above, the PEC 106 induces an image charge 121 traveling in the opposite direction that defines an image inductor 120 having an inductance L−. As d approaches 0, the charge 119 and the charge 121 cancel on the surface of the PEC 106, and therefore the total inductance on the PEC 106 is 0. In other words, if the inductor 118 is placed directly on a PEC 106 (or ground), then the inductor is shorted-out and the total inductance LT is 0.
However, if inductor 118 is placed above the PMC 110 at a distance d, then the PMC 110 induces an image charge 123 traveling in the same direction at a distance d to define an image inductor 122 having the inductance L+. As d approaches 0, the charge 119 and the charge 123 add together on the surface of the PMC 110, and therefore the total inductance on the PMC 106 is 2L+. In other words, if the inductor 118 is placed directly on the PMC 110, then the effective inductance is doubled.
It should be apparent that a perfect magnetic conductor produces significant advantages when used with inductor circuits. Specifically, given a defined substrate area, it is theoretically possible to dramatically increase the inductance value for a printed inductor that is printed over a perfect magnetic surface. Or stated another way, given a desired inductance value, the required substrate area when using a PMC surface is 1⁄2 of the required substrate area without the PMC surface. Accordingly, the surface area of an integrated circuit can be more efficiently utilized when using a PMC surface under printed inductors, or an equivalent to a PMC surface.
2. Surface Reflection Coefficient
FIG. 2A illustrates the reflection of an electromagnetic field (EM) 202 traveling a first medium 201 from a surface 206 to generate a reflected EM signal 204. A reflection coefficient Γ represents the ratio of the amplitude of Er 204 relative to the amplitude of Ei 202. Assuming a characteristic impedance R0 for the first medium 201 and a characteristic impedance RL for the surface 206, the reflection coefficient F can be calculated as follows:

|Γ|=|Er/Ei|=|(RL/R0−1)/(RL/R0+1)  Eq. 1

FIG. 2B illustrate a plot 200 of |Γ| for various load resistance RL. When RL=approaches −∞ or +∞, then |Γ| asymptotically approaches 1, and the surface 206 is equivalent to a PMC surface. When RL=−R0, then |Γ| approaches infinity and the surface 206 operates as an amplifier. (Negative resistance occurs when an active device is in oscillation mode.) When RL=0 (i.e. short circuit), then |Γ|=1, which indicates a perfect reflection so that the surface 206 is operating as a perfect electric conductor. When RL=R0, then |Γ|=0, which indicates that there is no reflected energy and the surface 206 is operating as a perfect absorber. Therefore, based on FIGS. 2A–2B, various equivalent reflection coefficients can be produced by changing the load impedance RL of the surface 206.
Still referring to FIG. 2B, it is noted a reflection coefficient |Γ|=1 is characteristic of both a PMC interface and a PEC interface. However, the phase of the reflection coefficient Γ is in-phase (or zero degrees) for the PMC interface, and is 180 degrees out-of-phase for the PEC interface.
FIG. 3A illustrates a variable Γ interface 300 that can be configured to have any of the reflection properties that are illustrated by graph 200 in FIG. 2. Variable interface 300 includes a substrate 302 that is mounted on a sheet conductor 307, which is grounded. The substrate 302 can be any type of substrate and is usually chosen based on the specific application. Example substrates include duriod, polymide, silicon, or even air. Note that for an air substrate, the spirals 304 are suspended above the substrate 302. The sheet conductor 307 preferably is a good conductor having a low resistivity.
The substrate 302 has an array of spirals 304a–n that are deposited on the top surface of the substrate 302. The array of spirals 304 are spaced a distance of dx from each other in the x-direction, and a distance of dy from each other in the y-direction, as shown. Referring to FIG. 3B, each spiral 304 has a two terminals 310 and 312. The terminal 312 is grounded to the sheet conductor 307. Therefore, each terminal 312 is at the same ground potential since all the terminals 312 are shorted together by the sheet conductor 307. The second terminal 310 is connected to a variable load 308 through a via hole 306 that passes through the substrate 302 and the sheet conductor 307.
FIG. 3C illustrates a side view of the interface 300 having an incident EM signal 314, that produces a reflected EM signal 316. The variable surface 300 can be configured to produce any |Γ| coefficient on the |Γ| curve 200 (FIG. 2B) by adjusting the variable loads 308. For example, the variable surface 300 can be configured as an absorber (|Γ|=0) by setting the variable loads 308=R0, where R0 is the characteristic impedance for the incident EM signal 314. The variable surface 300 can also be configured as an amplifier (|Γ|=∞) by setting the variable resistors 308=−R0. The surface 300 can be configured as an electric conductor (|Γ|=1) by setting the variable resistors 308=0, thereby shorting the spirals terminals 310 to ground. Finally, the interface 300 can be configured as a magnetic interface by setting the variable resistors 308 to be ±∞. Since infinite resistance cannot be achieved, the magnetic interface can be approximated by setting the variable resistors 308 to be sufficiently large in value so that |RL/R0|>>1.
As stated above, the magnetic interface can be approximated by setting the variable resistors 308 to be sufficiently large in value so that |RL/R0|>>1. In an active embodiment, this is accomplished by setting RL to be a large negative resistance, which is left side of FIG. 2B. Negative resistance can be produced using active devices that are configured to oscillate. For example, transistors in oscillation provide a negative resistance at the oscillation port. In a passive embodiment, the magnetic interface can be approximated by setting RL to a large positive resistance, which can be accomplished with standard passive resistors.
3. Passive Magnetic Interface Realization
FIGS. 4A–4B illustrate a magnetic interface generator 400 according to one embodiment of the invention. The magnetic interface generator 400 is a completely planar design that does not require external variable resistors or fixed resistors to create the magnetic interface. FIG. 4A illustrates the top view of the magnetic interface generator 400, and FIG. 4B illustrates a side view of the magnetic interface generator.
Referring to FIGS. 4A–4B, the magnetic interface generator 400 includes: a substrate 406 having a top surface 404 and a bottom surface 408; and an array of multi-turn spirals 402a–p that are deposited or printed on the top surface 404. The substrate 406 has a thickness T and the bottom surface 408 is metallized and is connected to ground. The substrate 406 also has a relative dielectric constant εr. Example dielectrics that could be used for the substrate 406 include duriod, polyamide, silicon, or even air. In a multi-layered architecture, the one level multi-turn spirals may be extended to multi-level spirals, with vias connecting the various levels of the spiral.
The spirals 402 are passive metallic traces that are printed periodically on the surface 404 of the substrate 406, and are spaced a distance S from each other. The terminals of the spirals 402 are open circuited, without vias connecting the terminals to the ground conductor 408. In contrast, in FIG. 3A, the spirals 304 utilize vias through the substrate 302 that connect the terminals to the ground 307 and the variable loads 308a–c. Therefore, the fabrication of the magnetic interface generator 400 is simpler and less expensive than the active configuration that is shown in FIG. 3A.
The magnetic interface generator 400 can be further described by a cell size A as shown in FIG. 4A. The cell size A includes the length L of the spiral 402, and the spacing S. More specifically, the cell size A includes the length L of a spiral arm, and 1⁄2 of the spacing S on each side of L.
Referring to FIG. 4C, the magnetic interface generator 400 generates a magnetic interface 410 that lies in the xz plane at a distance Z above the top surface 404 of the substrate 406. The distance Z is determined by the spacing S of the spirals 402 and the cell size A. In other words, the magnetic interface 410 can be moved up and down in the z-direction by adjusting spacings S between the spirals 402.
The magnetic surface 410 behaves like a magnetic mirror over a particular frequency bandwidth. Incident radiation within a particular frequency band is reflected in-phase at the magnetic interface 410. For example, the magnetic interface 410 reflects an incident electric field (Ei) 412 to generate a reflected electric field (Er) 414 field that is substantially in-phase with the Ei field 412. Therefore, the reflection coefficient Γ is as follows:

Γ=Er/Ei=|Er/Ei|eiθ, where θ=0.  Eq. 2

In other words, the phase of the reflection coefficient is substantially 0 at the magnetic interface 410 at the center frequency f0 of operation. Since the incident field (Ei) 412 and the reflected field (Er) 414 are substantially in phase, the field at the magnetic interface 410 effectively doubles.

FIG. 4D illustrates an example plot of reflection coefficient phase for a magnetic interface 410 that is designed to be resonant at a center frequency f0=8 Ghz. As shown, the reflection coefficient phase is approximately 0 degrees at 8 Ghz. The useable frequency bandwidth is the frequency range that corresponds to a reflection coefficient phase between −90 degrees and +90 degrees. In FIG. 4D, the useable frequency bandwidth is approximately between 7.6 Ghz-8.5 Ghz. As discussed further below, the center frequency f0 of operation is determined by the average track length of the spiral 402.
The magnetic interface generator 400 is a completely passive design that does not require active loads or negative resistance to generate the magnetic interface 410. As such, the magnetic interface generator 400 operates on the extreme right side of the Γ plot 200 that is shown in FIG. 2B.
FIG. 5 further illustrates an example spiral 402. The spiral 402 is defined by a metal track width W, a length L, and the average track length Dav. The average track length Dav is the track length around the spiral 402, and is measured from the middle of the track W, as shown. The average track length Dav determines the center frequency f0 of operation of the magnetic interface 410 according to the following equation:




  
    
      
        
          
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Stated another way, Dav determines the frequency at which the phase of the reflection coefficient is 0 degrees. Since Dav is in the denominator of Eq. 3, the center frequency of the magnetic interface 410 generally decreases with increasing track length Dav. Given a desired center frequency of operation f0, Eq. 3 can be solved for DAV as follows:





  
    
      
        
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The spiral 402 can also be described according to the “number of turns” in the spiral. For example, in FIG. 5, the spiral 402 has 1.25 turns. In FIG. 6, the spiral 402 has approximately 2 turns. Everything else being equal, Dav generally increases with increasing number of spiral turns. Therefore, for a given DAV, the overall size of the spiral 402 can generally be decreased by increasing the number of turns in the spiral 402. Stated another way, the cell size A of the spirals 402 can be decreased by winding the spirals tighter or using multi-level spirals.
4. Applications for a Magnetic Interface
The following section describes some example applications for the passive magnetic interface generator that was described above. These applications are for example purposes only, and are not meant to be limiting. Those skilled in the arts will recognize other applications based on teachings given herein. These other applications are within the scope and spirit of the present invention.
4a. Inductor Circuit
As described in Section 1 herein, significant advantages can be realized when utilizing an inductor with a magnetic interface, such as the magnetic interface 410 generated by the magnetic interface generator 400. Specifically, conventional inductors present an inductive impedance that increases with frequency until the self-resonance frequency of the inductor is reached. Beyond the self-reasonance frequency, the inductor becomes a capacitor. However, the magnetic interface 410 creates two inductive modes on the inductor, one that would naturally exist (up to its self-resonant frequency) and a second inductive mode that is induced by the magnetic interface at the frequency band where the magnetic interface operates. This multi-mode capability saves IC surface area that would be occupied by as many separate inductors.
FIG. 7A illustrates a conventional inductor circuit 700 having a printed inductor 702 that is printed on a top surface of a substrate 704. FIG. 7B illustrates a plot of inductive impedance normalized to frequency for the inductor 702 according the following equation: L (ω)=Im(I/Y11)/ω).
FIGS. 8A and 8B illustrate an inductor circuit 800 that utilizes a magnetic interface to create a dual inductive mode for the inductor 702. From the ground up, the inductor circuit 800 includes a ground layer 802, a first substrate layer 804, the magnetic interface generator (or “spiral layer”) 400 having the array of spirals 402, a second substrate layer 806, and the printed inductor 702. The spiral layer 400 is printed on the first substrate layer 804, and is therefore sandwiched between the first substrate layer 804 and the second substrate layer 806. The printed inductor 702 is then printed on the top surface of the second layer 806. The spacing S between the spirals 402 is configured so that the magnetic interface appears on the top of the surface 806. In other words, the spacing S between the spirals 402 is set so that the magnetic interface is in the same plane as the printed inductor 702. In embodiments, the number of spirals 402 needed to effect the magnetic interface as described herein can be 3 to 4 spirals around the inductor 702.
FIG. 9A illustrates an example plot of the normalized inductive impedance L(ω) for the inductor circuit 800, when the spiral layer 400 is configured to be resonant at 7 GHz, and the substrate dielectric is polyamide. We observe the dual-mode inductive impedance (902 and 904), where the second mode 904 is due to the existence of the magnetic interface. This system can be used for example, as a dual RF choke, at the resonances shown instead of using two separate inductors. This implementation saves area that would have been occupied by two separate inductors. FIG. 9B illustrates the reflection coefficient phase for the spiral layer 400. The reflection coefficient phase clearly passes through 0 degrees at 7 GHz and 13 Ghz.
The effects of the magnetic interface 410 can be described by the circuit model of FIG. 9C, which shows the printed inductor model along with the model of the magnetic interface. For comparison, FIG. 9D shows the circuit model for the conventional inductor 702 that is printed on a top surface of a substrate 704 without the magnetic interface. The large inductance 908 to the ground in FIG. 9C is provided by the magnetic interface and can not be obtained by standard homogeneous substrates. The inductance 908 accounts for the second inductive mode of the system's impedance (e.g. mode 904 in FIG. 9A). The capacitors 910 represent circuit parasitics. Therefore, the magnetic interface provides a host of applications for dual-mode operation of inductors that are printed on such magnetic surfaces.
The magnetic interface 410 suppresses the surface waves (or equivalently, shields the substrate) and reduces the cross talk/improves antenna gain, due to a photonic bandgap at the frequencies of operation (of the magnetic surface), which can be represented by a bandstop filter. A schematic description of the bandstop filtering property is provided by the equivalent circuit in FIG. 9C, which also provides a very good fit to the electromagnetic simulation data. The difference between FIG. 9D (simple inductor) and FIG. 9C (inductor+magnetic interface) is precisely the difference between a low-pass filter (e.g. simple inductor 702) and a stop-band filter (which the inductor 702+magnetic interface is) as derived from a low-pass prototype. The extra capacitor 906 in FIG. 9C that is in parallel with the inductor 702 contributes to the stopband of the magnetic interface. The shunt capacitors 910 is a parasitic associated with the substrate that generally cannot be avoided. The schematics shown in FIGS. 9C and 9D fit the corresponding electromagnetic simulation when the second port of the inductor (e.g. port 2 in FIGS. 9C and 9D) is grounded, as is usually the case.
The value of the inductance to the ground, and the associated capacitance on the series inductance can be tailor-designed and derived directly from the layout of the magnetic interface generator used to construct the magnetic interface. This in turn can tune the second inductive mode of the inductor to a desired frequency band.
4b. Crosstalk Suppression
FIGS. 10A and 10B illustrate a circuit 1000 having two coupled mircostrip lines 1004 and 1006 that are printed on a substrate 1002. The coupled microstrip lines have ports 1–4 as shown. Mircostrip is a common transmission line that used in RF circuits to carry RF signals. The microstrip lines 1004 and 1006 are sufficiently close to each other that energy is coupled from one mircostrip to the other. As shown FIG. 10B, a RF signal 1008 on either microstrip line is coupled through the substrate 1002, and through the air to the other microstrip line. The signal coupling illustrated in FIG. 10B is often referred to as crosstalk, and leads to signal interference. Crosstalk occurs in microstrip circuits because traverse magnetic (TM) and traverse electric (TE) surface waves are excited within a dielectric substrate. These surface waves propagate parallel to the air-surface interface decaying exponentially away from it. Surface waves are often illustrated in a dispersion diagram that is a plot of β vs. ω. These surface waves are undesirable because they lead to energy loss and signal interference. Microstrip lines on conventional circuits are typical spaced far apart so as to avoid crosstalk. However, by spreading apart the microstrip lines, circuit density is reduced and the overall circuit size is increased.
FIGS. 11A and 11B illustrate a circuit 1100 that utilizes a magnetic interface to reduce the crosstalk between the mircostrip lines 1004 and 1006. Referring to FIG. 1B, the circuit 1100 includes a ground layer 1102, a first substrate layer 1104, the magnetic interface generator (or “spiral layer”) 400 having the array of spirals 402, a second substrate layer 1106, and the coupled microstrip lines 1004 and 1006. The spiral layer 400 is printed on the first substrate layer 1104, and is therefore sandwiched between the first substrate layer 1104 and the second substrate layer 1106. The microstrip lines 1004 and 1006 are then printed on top of the second layer 1106. The spacing S between the spirals 402 is configured so that the magnetic interface 410 appears on the top of the surface 1106. In other words, the spacing S between the spirals 402 is set so that the magnetic interface 410 generated by the spiral layer 400 is in the same xy plane as the spiral layer 400.
The magnetic interface generated by the spiral layer 400 suppresses the surface waves that lead to crosstalk. FIG. 12 illustrates an equivalent circuit 1200 that is seen by the surface waves that are traveling in the plane of the magnetic interface generated by the spiral layer 400. As shown, the circuit 1200 is a lowpass filter that suppresses TE and TM surface waves, and thereby suppresses or reduces crosstalk.
FIG. 13 illustrates a dispersion diagram for the TE and TM surface waves on a magnetic interface that is resonant at 8 Ghz made of rectangular spirals in duriod. The TE waves are presented by the empty dots, and the TM waves are represented by the filled dots. As shown, there is an absence of both TE and TM surface waves between 10–14 Ghz.
FIGS. 14–15 further illustrate crosstalk suppression using s-parameter measurements.
FIG. 14 illustrates the level of crosstalk for the circuit 1000, which does not have the spiral layer 400. More specifically, FIG. 14 illustrates the signal detected at ports 3 and 4 given a signal input at port 1. Curve 1402 represents the signal level coupled to port 3 over frequency, and curve 1404 represents the signal level coupled to port 4 over frequency. As shown, the maximum coupling occurs at approximately 10 GHz and is approximately 0.5 to each of ports 3 and 4. In other words, at 10 GHz, one-half of the signal power that is input into port 1 is coupled to port 3, and the other half of the signal power is coupled to port 4.
FIG. 15 illustrates the level of crosstalk for the circuit 1100, which does have the spiral layer 400 according to embodiments of the present invention. Referring to FIG. 15, curves 1502 and 1504 represent the signal level coupled to ports 3 and 4, respectively, for a signal input to port 1. As shown, the maximum coupling still occurs at 10 GHz. However, the maximum coupling is reduced from approximately 0.5 (without the magnetic interface) to approximately 0.35 (with the magnetic interface). The magnetic interface generated by the spiral layer 400 suppresses the TE and TM surface waves sufficiently so that the maximum crosstalk between the lines 1004 and 1006 is reduced by approximately 30%. Therefore, for a given coupling specification, the spiral layer 400 allows mircostrip lines (and other transmission lines) on an RFIC to be placed closer together. By placing transmission lines closer together, chip densities are increased which improves manufacturing yield and reduces IC cost.
For completeness, FIGS. 16 and 17 illustrate the remaining s-parameters for the circuits 1000 and 1100. More specifically, FIG. 16 illustrates s11 and s21 for the circuit 1000, which does not have the spiral layer 400. FIG. 17 illustrates s11 and s21 for the circuit 1100, which does have the spiral layer 400.
4c. Antenna Gain
Mircostrip antennas are a common type of antenna that are used in various wireless applications, including communications applications and radar applications. A mircostrip antenna includes a metallization patch that is printed on a dielectric substrate. Microstrip antennas are a popular choice for wireless applications because of their planer structure, ease of manufacture, and because they can be made on a common substrate with other RFIC components. The antenna gain (or directivity) of a microstrip patch antenna typically increases with the area of the patch metallization.
FIGS. 18A and 18B illustrate a circuit 1800 that utilizes a magnetic interface to increase the antenna gain of a microstrip patch antenna 1808. Referring to FIG. 18B, the circuit 1800 includes a ground layer 1802, a first substrate layer 1804, the spiral layer 400 having the array of spirals 402, a second substrate layer 1806, and a mircostrip patch antenna 1808. The spiral layer 400 is printed on the first substrate layer 1804, and is therefore is sandwiched between the first substrate layer 1804 and the second substrate layer 1806. The microstrip patch antenna 1808 is then printed on the top surface of the second layer 1806. The spacing S between the spirals 402 is configured so that the magnetic interface generated by the spirals 402 appears on the top of the surface 1806, in the same plane as is the microstrip patch antenna 1808. In embodiments, the number of spirals 402 needed to effect the magnetic interface as described herein can be 3 to 4 spirals around the microstrip patch 1808.
FIG. 19 compares the antenna patterns of a microstrip patch antenna using a magnetic interface, with a microstrip antenna that does not utilize a magnetic interface. More specifically, pattern 1902 represents the antenna pattern for a conventional patch antenna without a magnetic interface. Pattern 1904 represents the same patch antenna utilizing the magnetic interface as provided in FIG. 19A. Antenna gain is measured radially on the patterns 1902 and 1904 and is gauged from −20 to 10. Maximum gain for the pattern 1902 (without the magnetic interface) is approximately 5.0 and occurs at 0 degrees (or broadside). Maximum gain for the pattern 1904 (with the magnetic interface) is approximately 8.0 and also occurs at broadside. In other words, for the same patch area, antenna gain with the magnetic interface is approximately 60% higher than without the magnetic interface. The increase in antenna gain is caused by the suppression of surface waves achieved by the magnetic interface. This suppression leads to a higher percentage of radiated power relative to input power, which is the gain increase illustrated. The increased antenna gain proportionally improves the received signal level, and therefore the signal-to-noise ratio. Alternatively, for a desired gain, the size of the patch antenna can be reduced by utilizing the magnetic interface as described herein, thereby taking up less substrate area.
4d. Antenna Matching and Bandwidth
Conventional microstrip antennas often present performance limitations regarding the level of matching of their input impedance to the impedance of their feeding circuitry. In general, it is desirable to have microstrip antennas with a return loss (s11) as small as possible, at the operating frequency. Further, for many applications, it is desirable to have antennas that present good impedance matching over a fairly large bandwidth. Conventional printed antennas, however, only have a narrow bandwidth, typically of 4–8% as traditionally quantified at the −10 dB-level. The present invention improves the state-of-the-art in both these areas, by use of the magnetic interface described herein.
FIG. 20 compares the return loss (s11) of a patch antenna having a magnetic interface, with a patch antenna that does not have a magnetic interface. More specifically, the curve 2002 represents the return loss for a microstrip patch that does not utilize the magnetic interface. The curve 2004 represents the return loss for the same patch antenna having the magnetic interface as provided in FIGS. 18A–18B. The maximum return loss for the curve 2004 (with the magnetic interface) is approximately 18 dB verses only 14 dB for the curve 2002 (without the magnetic interface). The curve 2004 also has a broader bandwidth. Specifically, the printed antenna of this example without the magnetic interface has a −10 dB bandwidth of 8.5%, as computed from the curve 2002. The same antenna printed on the magnetic interface has a −10 dB bandwidth of 21%, as computed from the curve 2004, which is 150% larger than without the magnetic interface. Therefore, the patch antenna with the magnetic interface has a better overall impedance match than the patch antenna without the magnetic interface.
5. Conclusion
Example embodiments of the methods, systems, and components of the present invention have been described herein. As noted elsewhere, these example embodiments have been described for illustrative purposes only, and are not limiting. Other embodiments are possible and are covered by the invention. Such other embodiments will be apparent to persons skilled in the relevant art(s) based on the teachings contained herein. Thus, the breadth and scope of the present invention should not be limited by any of the above-described exemplary embodiments, but should be defined only in accordance with the following claims and their equivalents.

## Claims

1. An inductor circuit, comprising:
a first substrate layer having a first surface and a second surface, wherein the first surface is coupled to a ground node;
a planar array of spirals coupled to the second surface of the first substrate layer;
a second substrate layer having a first surface coupled to the planar array of spirals and a second surface; and
an inductor coupled to the second surface of the second substrate layer, wherein the inductor has a first resonance, and wherein the planar array of spirals is configured to generate a magnetic interface approximately in a plane of the inductor to provide a second resonance that is different than the first resonance.

2. The inductor circuit of claim 1, wherein a center frequency f0 of the second resonance is based on the following equation:




  
    
      f
      0
    
    =
    
      c
      
        2
        ⁢
        
          D
          av
        
        ⁢
        
          
            
              1
              +
              
                ɛ
                r
              
            
            2
          
        
      
    
  
  ;



wherein c represents a speed of light, wherein εr represents a relative dielectric constant of the first substrate layer, and wherein DAV is an average track length of each spiral of the planar array of spirals.

3. The inductor circuit of claim 1, wherein a first terminal and a second terminal of each spiral of the planar array of spirals is open circuited.

4. The inductor circuit of claim 1, wherein the planar array of spirals generates the magnetic interface at a distance Z above the second surface of the first substrate layer, wherein the distance Z is based on a spacing S between spirals of the planar array of spirals.

5. The inductor circuit of claim 1, wherein the planar array of spirals generates the magnetic interface at a distance Z above the second surface of the first substrate layer, and wherein the distance Z is based on a cell size of a first spiral of the planar array of spirals, and wherein the cell size is defined by a length L of an outermost track of the first spiral and a spacing S between the outermost track of the first spiral and an outermost track of a second spiral that is adjacent to the first spiral.

6. The inductor circuit of claim 1, wherein the planar array of spirals generates the magnetic interface at a distance Z above the second surface of the first substrate layer, and wherein the distance Z is based on a cell size of a first spiral of the planar array of spirals, and wherein the cell size is defined by an outer perimeter of an outermost track of the first spiral and a spacing S between the outermost track of the first spiral and an outermost track of a second spiral that is adjacent to the first spiral.

7. The inductor circuit of claim 1, wherein the planar array of spirals includes metallization that is printed on the second surface of the first substrate layer.

8. The inductor circuit of claim 1, wherein the planar array of spirals includes a first spiral having a first outermost track and a second spiral having a second outermost track, wherein an outer perimeter of the first outermost track defines a first cell, and wherein an outer perimeter of the second outermost track defines a second cell adjacent to the first cell, and wherein the first cell and the second cell are spaced apart by a distance S.

9. The inductor circuit of claim 1, wherein the first resonance is based on a self-resonant frequency of the inductor, and wherein the second resonance is based on a center frequency of the magnetic interface.

10. An inductor circuit, comprising:
a first substrate layer having a first surface and a second surface, wherein the first surface is coupled to a ground node;
a planar array of spirals coupled to the second surface of the first substrate layer;
a second substrate layer having a first surface coupled to the planar array of spirals and a second surface; and
an inductor coupled to the second surface of the second substrate layer;
wherein the inductor circuit has a reflection phase of zero degrees at a self-resonant frequency of the inductor and at a center frequency of a magnetic interface generated by the planar array of spirals.

11. The inductor circuit of claim 10, wherein the planar array of spirals includes metallization that is printed on the second surface of the first substrate layer.

12. The inductor circuit of claim 10, wherein the resonant frequency of the inductor and the center frequency of the magnetic interface are different from each other.

13. The inductor circuit of claim 10, wherein the planar array of spirals generates the magnetic interface approximately in a plane of the inductor.

14. The inductor circuit of claim 10, wherein the center frequency f0 of the magnetic interface is based on an average track length DAV of each spiral of the planar array of spirals.

15. The inductor circuit of claim 14, wherein the average track length DAV is based on the following equation:




  
    D
    av
  
  =
  
    c
    
      2
      ⁢
      
        f
        0
      
      ⁢
      
        
          
            1
            +
            
              ɛ
              r
            
          
          2
        
      
    
  



wherein c represents a speed of light; and
wherein εr represents a relative dielectric constant of the substrate.

16. The inductor circuit of claim 10, wherein a first terminal and a second terminal of each spiral of the planar array of spirals is open circuited.

17. The inductor circuit of claim 10, wherein the planar array of spirals generates the magnetic interface at a distance Z above the second surface of the first susbstrate layer, wherein the distance Z is based on a spacing S between spirals of the planar array of spirals.

18. The inductor circuit of claim 10, wherein the panar array of spirals generates the magnetic interface at a distance Z above the second surgace of the first substrate layer, and wherein the distance Z is based on a cell size of a first spiral of the planar array of spirals, and wherein the cell size is defined by an outer perimeter of an outermost track of the first spiral and a spacing S between the outermost track of the first spiral and an outermost track of the first spiral and an outermost track of a second spiral that is adjacent to the first spiral.

19. The inductor circuit of claim 10, wherein the planar array of spirals includes a first spiral having a first outermost track and a second spiral having a second outermost track, wherein an outer perimeter of the first outermost track defines a first cell, and wherein an outer perimeter of the second outermost track defines a second cell adjacent to the first cell, and wherein the first cell and the second cell are spaced apart by a distance S.