Coaxial Through-Package-Vias (TPVs) for Enhancing Power Integrity … · 2018-08-13 · Coaxial...
Transcript of Coaxial Through-Package-Vias (TPVs) for Enhancing Power Integrity … · 2018-08-13 · Coaxial...
Coaxial Through-Package-Vias (TPVs) for Enhancing Power Integrity in 3D Double-side Glass Interposers
Gokul Kumar, P. Markondeya Raj , Jounghyun Cho *, Saumya Gand hi, Parthasarathi Chakraborti, Venky Sundaram,
Joungho Kim* and Rao Tummala
3D Systems Packaging Research Center, Georgia Institute of Technology
* Terahertz Laboratory, KAIST, Daejeon, South Korea
Email: [email protected]
ABSTRACT
Double-sided 3D glass interposers and packages, with
through package vias (TPV) at the same pitch as TSVs in Si,
have been proposed to achieve high bandwidth between logic
and memory with benefits in cost, process complexity,
testability and thermal over 3D IC stacks with TSV. However,
such a 3D interposer introduces power distribution network
(PDN) challenges due to increased power delivery path length
and plane resonances. This paper investigates the use of coaxial
through-package-vias (TPVs) with high dielectric constant
liners as an effective method to deliver clean power within a
3D glass package, and provides design and fabrication
guidelines to achieve the PDN target impedance. The Coaxial
TPV structure is simulated using electromagnetic (EM) solvers
and a simplified equivalent circuit model to study via
impedance and parasitics. Test vehicles with anodized tantalum
oxide capacitors were fabricated in ultra-thin, 100µm thick
glass interposers to demonstrate process feasibility, with a
capacitance density of 5 nF/mm2. Self-impedance (Z11) of a
3D glass interposer containing the coaxial TPVs was analyzed
with variations in (a) Via location, (b) Number of coaxial vias,
and (c) Via capacitance and stack-up, to provide optimal PDN
design guidelines. Based on the above parameters, the added
decoupling vias achieved more than 30% impedance
suppression over multiple resonance frequencies between 0.5-
6 GHz, providing an effective and flexible PDN design method
for double-side 3D glass interposers.
I. INTRODUCTION
Logic and memory stacking with through silicon vias
(TSV) to form 3D ICs, with much higher interconnect density
than the current package-on-package (PoP) stacking, has been
proposed and is being developed to meet ultra-high bandwidth
(25-100GB/s) demands of smart mobile systems with lower
power consumption and miniaturization. However, the
adoption of these 3D ICs has been delayed by many challenges
that include thermal issues, testability and high cost. A simpler
approach to achieve this high bandwidth using ultra-thin 3D
glass packages has been proposed and fabricated by Georgia
Tech [1] [2], which results in elimination of complex and costly
TSVs in the logic die, as shown in Figure 1. Such a 3D glass
approach uses an ultra-thin, 30-50µm glass interposer with
stacked memory on one side and logic IC on the other side,
interconnected by through package vias (TPVs) at the same
pitch as TSVs in Si, and SMT mounted onto the printed wiring
board (PWB) through solder ball interconnections [3]. While
this technology offers cost, testability and thermal advantages
over 3D IC stacking, it introduces a new challenge in power
delivery, directly attributable to the long PDN path through
lateral power-ground (P/G) planes. In addition, multi-mode
plane resonances in glass interposers, that are common to high-
resistivity substrates including organic packages, require
careful PDN design.
Figure 1 : Approaches for high bandwidth 3D-integration
Figure 2 : 3D Glass interposer PDN with coaxial Vias as
distributed decoupling capacitors
This paper, for the first time, integrates high-dielectric
constant materials into TPVs in ultra-thin glass interposers to
improve the PDN performance of double sided 3D interposers,
and the techniques presented here can also be applied to single-
chip 2D packages and multi-chip 2.5D interposers. Figure 2
illustrates the major power delivery challenges in 3D glass
interposers and the proposed structure with coaxial TPVs to
address some of these challenges. The coaxial TPVs with high
dielectric constant thin films between the power and ground via
conductors form ultra-miniaturized decoupling capacitors
along the package power path. This distributed capacitance,
placed very close to the active die, acts as charge reservoirs and
presents an improved power delivery solution without ESL
limitations or additional space requirements.
The authors previously reported the PDN characteristics of
3D double-side interposers with reduced power/ground ball
Glass interposer
PCB
Logic
Memory
Memory
Memory
Memory
BGA
TSV
TPVSilicon Interposer or Org. Pkg
PCB
Logic
Memory
Memory
Memory
Memory
BGA
TSV
3D Glass Interposers with TPVs3D ICs with TSVs
Memory Stack
PCB
LogicP/G BGA
Distributed
Coaxial P/G
TPVs as Decap
P/G
planes
Lateral
PDN Path
978-1-4799-2407-3/14/$31.00 ©2014 IEEE 541 2014 Electronic Components & Technology Conference
grid arrays (BGAs) due to the placement of logic die at the
bottom of the substrate [4]. The effects of noise coupling
between signal nets and power/ground planes at resonant
frequencies , including the impact of signal return path
discontinuity were studied [5]. Recent literature compared the
effects of simultaneous switching noise and signal
discontinuity in silicon and glass interposers using M-FDM
methods [6, 7]. Embedded and die-integrated decoupling
schemes have been proposed with glass and silicon interposers
to improve their power delivery profile [8-10]. Recent studies
employed three-dimensional P/G coaxial vias (TSVs) in 3DIC
stacks for added coupling capacitance [11]. However, effect of
via placement and physical geometry in the power and signal
integrity of double-sided flip-chip interposers has not been
investigated. This paper goes beyond published literature to
present a detailed study of the PDN impedance profile in 3D
glass interposers including the effects of via interconnection
capacitances. In addition, it explores and demonstrates the use
of coaxial through-package-vias as an effective design
technique to improve power delivery networks.
Table 1: 3D interposer system dimensions
Following this introduction, Section II describes the
modeling and design of coaxial vias. Parasitics for different
technologies are examined and extracted using full-wave
electromagnetic (EM) solvers, forming building blocks for the
subsequent analysis. An equivalent circuit model is proposed
to identify the key parameters contributing to the capacitance,
and the results are tabulated. Section III deals with a discussion
of various dielectric options, selection of the front-up materials,
and an initial process demonstration for the TPV with
capacitors in 3D glass interposers. Section IV studies the
benefit of the proposed coaxial vias to address PDN challenge
by modeling the PDN response with and without decoupling
vias from the previous sections. Based on this investigation,
design guidelines for an optimal P/G TPV physical design and
dimensions are provided. Section V summarizes the results
from this study.
II. ELECTRICAL DESIGN OF COAXIAL THROUGH
PACKAGE VIAS
This section examines via parasitics for different coaxial
TPV process methods and stack-up technologies, and presents
a simplified circuit model to analyze coaxial via interconnects.
The parasitic properties of the coaxial vias that are most critical
for PDN design, including the inductance, capacitance and total
via impedance are analyzed first. Both analytical equations and
an electromagnetic solver (Q3D) is used for this study for
parametric analysis. Since the overall resistance of thick
coaxial vias are extremely small, they are not focused in this
section. Integration of high-k thinfilm materials such as
tantalum oxide and barium titanate between the inner conductor
and outer shell of coaxial TPVs in an ultra-thin glass substrate
is studied provide up to 50x higher via decoupling capacitance.
Figure 3 shows the electrical block diagram of the 3D
interposer PDN including coaxial TPVs.
Figure 3: Schematic Diagram of 3D interposer PDN
Figure 4: Co-axial Via Dimensions considered in this
Study - 40nm tantalum oxide liner with (a) 30m Glass
thickness (b) 100m thickness, 15m polymer liner with (c)
30m glass thickness
Table 2: Summary of coaxial via capacitance
Liner
material 𝜀
Glass
Thickness
(µm)
Theoretical
Value (pF)
Q3D (pF)
Tantalum
Oxide 25
30 12.4 12.7
100 117 120
Polymer 3.01 30 0.0117 0.018
Table 3: Summary of coaxial via loop inductance
Glass
Thickness
(µm)
Outer
Radius
(µm)
Inner
Radius
(µm)
Theoretical
Value (pH)
Q3D
(pH)
30 10 9.96 0.028 0.022
100 25 24.96 0.042 0.032
30
(polymer) 25 15 3.63 4.7
Considering current technology and future miniaturization,
three coaxial TPV physical configurations are chosen as shown
in Figure 4. Two variations of total TPV height (71 µm and 180
µm) in ultra-thin glass substrates (including dielectric and glass
sections) is considered with both moderate-K(Tantalum oxide)
and polymer liner configurations. The target metallization
thickness was defined to be 5 µm.
VRM
PCB Traces
Board Decap
On-Chip
Mesh PCB
P/G Planes
PCB Vias
Interposer
P/G Planes
BGA Balls
PackageDecap
Embedded
Decap
Lateral Trace Length C4
Package P/GTrace
Length
Coaxial Cap
Load
On-chip Decap
71µm
30µm
3µm
30 µm
60µm
17.5µm
3µm
17.5µm
Poly
mer 1
0 µ
m
(c)
180µm
100µm
17.5 µm
49.92µm
60µm
22.5µm
17.5µm
22.5µm
Tanta
lum
40 n
m
(b)
71µm
30µm
3µm
19.92µm
30µm
17.5µm
3µm
17.5µm
Tanta
lum
40 n
m
(a)
Polymer
Glass
Polymer
Coaxial TPV Diameter 30-60 µm
Tantalum Liner Thickness 40nm
Ultra-thin Core Thickness 30-100µm
Interposer/Package size 17mm x17mm
PWB size 25mm x25mm
BGA pitch 400 µm
542
From literature, simplified analytical expressions for
capacitance and loop inductance per unit length of a coaxial via
can be given as
𝐶𝐿 =2𝜋𝜀0𝜀𝑟
𝑙𝑛(𝐷
𝑑)
F/m
𝐿𝐿 =μ
2π ln(𝐷/𝑑) H/m
𝐷 is the outer via radius
𝑑 is the radius of the inner via
𝜀0 ,𝜀𝑟 is the permittivity of free space and TPV liner
µ is the permeability
Table 2 presents a summary of various capacitance values
that are extracted for coaxial vias. As expected, it can be seen
that the maximum value of capacitance is achieved with the
100m glass via having the tantalum liner due to the highest
capacitance density and surface area. Table 3 details the loop
inductance of coaxial TPVs. It can be seen that the loop
inductance of the p/g via is extremely small due to the thin
coaxial liner, when compared with the loop inductance of a
polymer based coaxial TPV. These results indicate useful PDN
applications with the proposed P/G TPV configurations. Based
on the extracted values, a simplified equivalent circuit model
for glass TPVs was constructed as shown in Figure 5. It can be
seen that the dominant capacitance is from the thin high-K liner
material that is separated by the power and ground conductors,
and has a theoretical value in several tens of pico farads.
Figure 5: Circuit model for Coaxial P/G Glass TPVs
The impedance profile between the power and ground vias
of a single coaxial TPV from different configurations was
simulated using a full wave EM solver (HFSS) as shown in
Figure 6. The self-impedance is measured between via pads of
the top two metal layers as shown. It was seen that lowest
impedance was observed with 100µm coaxial TPV due to its
large surface area and length of the capacitor, followed by the
ultra-thin 30 µm TPV. The impedance of polymer based
coaxial vias were several orders higher than the other
configurations, with smaller capacitive values due to larger
separation between the metal plates. The effective capacitance
of coaxial vias can be increased by connecting a number of the
coaxial P/G vias in parallel, similar to the configuration present
in interposer applications. The higher capacitance vias exhibit
decoupling at lower frequencies, enabling selective tuning to
meet target impedance.
Figure 6: Self-Impedance profile of single P/G coaxial via
III. POWER-GROUND TPV: MATERIALS AND
PROCESSES
3D interposers need to support low impedance power-
ground coaxial TPVs for efficient power supply. Based on the
simulations shown in the previous section, the power-ground
needs a capacitance in the order of 50-100 pF per via. This
section deals with a discussion on various dielectric options,
selection of the front-up materials, and an initial process
demonstration for the TPV capacitors in 3D glass interposers.
Table 4: Dielectric options for TPV capacitors in 3D
interposers, and their merits and demerits
Dielectrics Film properties
Merits Demerits
Oxides
Oxynitrides 7
t = 20 nm
2.5 nF/mm2
High BDV
allows 30 nm films
Standard
semiconduct
or tools
Expensive
semiconductor tools,
Lower capacitance densities;
Moderate K
paraelectrics
-Tantalum
oxide
t = 40 nm
5 nF/mm2
Simpler
processing
compared to high K films
Moderate
capacitance densities
High K super
paraelectrics
- BST
t = 150 nm
15-20 nF/mm2
Dielectric
constant low
but stable with lower
loss
Conformal dielectric
is a challenge with
standard processes
High K ferroelectrics
- Barium
titanate
t = 1 µm
30 nF/mm2
High density Higher temperature processing,
Lower reliability and
leakage,
Conformal dielectric
is a challenge with standard processes
Dielectric options
Low k films: In silicon trench and TSV capacitors, oxides,
nitrides and oxynitrides of silicon with permittivies of 5-7 are
widely used. The Breakdown Voltages (BDVs) of these films
range from 0.8-1 V/nm which represent the highest BDV of all
materials. Even a 20 nm film can stand voltage of 15 V.
ROuter
LOuter
GDielectric
CDielectric
GLiner
CLiner
GDielectric
CDielectric
RInner
LInner
Power
Top
Ground
Top
Power
Bottom
Ground
Bottom
Frequency (Hz)
Mag
(Z
11)
(c) 25µm Polymer
TPV
(b) 100µm TPV
(a) 30µm TPV
P
G
543
Furthermore, these materials present minimal reliability
concerns because of their intrinsic structure and properties.
This leads to a planar capacitance density of about 2-3 nF/mm2.
Moreover, these technologies are dependent on very standard
front-end semiconductor tools such as Plasma Enhanced
Chemical Vapor Deposition (PECVD), Liquid Phase Chemical
Vapor Deposition (LPCVD). The deposition temperatures are
less than 300 C, and no issues of adhesion and
thermomechanical compatibility arise because of their strong
covalent bonding to the electrode and good CTE match with
glass. However, higher capacitance densities with low-cost
panel processes are sought for 3D glass interposers.
Moderate k films: Oxides of tantalum, hafnium, zirconia,
titania etc. show permittivities of 15-80. Some of these have
breakdown strengths of 500-800 V/micron. They can be
deposited thinner down to 30-50 nm showing capacitance
densities approaching 5-10 nF/mm2. Moderate k films
represent 2-3 X improvement in capacitance density compared
to traditional oxides and nitrides. The most common technique
for depositing these thin films in trenches is Atomic Layer
Deposition (ALD), which also has cost and through-put
limitations.
High k films: Ferroelectrics show permittivities of 1000-
5000 in 1-3 micron thickness, with a capacitance density of
about 30 nF/mm2. Films with these properties require
extremely high temperature processes (~1000 oC). The
permittivity reduces dramatically for thinner films, and
therefore the capacitance density does not improve much. With
glass TPV-compatible processes (<650 oC), using lead-free
dielectrics, films in thicknesses of 100-200 nm and
permittivities of 200-300 are feasible. The capacitance density
is less than 15-20 nF/mm2 with these systems. However,
limitations of high-k film technologies arise from several
reasons:
• Non-conformal deposition processes such as
sputtering. Standard processes result in non-uniform
dielectric thickness as shown in Figure 7a and 7b.
• Higher temperature for crystallization
• Lower BDV requiring thicker films
• Thickness-dependent permittivity which results in
diminishing returns of capacitance density with
thickness reduction
• Intrinsic reliability issues from lattice defects and
interfaces
The capacitance densities achieved with various TPV
dielectrics are compiled in Table 4. Based on this summary,
anodized dielectrics provide the best combination of
capacitance density, process-compatibility with glass, and
scalability to large panels. Hence, anodized tantalum oxide
TPV capacitors are chosen as the front-up option to be
demonstrated.
TPV Capacitor Process:
Silicon trenches and vias are formed from dry-etching
processes using inductive-coupled plasma with fluorine gas,
which then diffuses to the low-pressure etching chamber,
where silicon is directionally etched. The most common
etching is done with Bosch process. In the Bosch process,
sidewall passivation with a polymer is utilized to prevent lateral
etching and give directionality to the etching process.
Figure 7: Sputtered dielectrics with non-uniform thickness (a),
cross-section of sputtered barium titanate (b). Sputtered metal
with conformal and uniform anodized films (c) and cross-
section of anodized tantalum oxide with uniform dielectric
thickness (d).
Figure 8: Leakage current with anodized tantalum dielectrics.
Figure 9: Schematic of fabricated coaxial via in glass
interposers
(a) (b)
(c) (d)
Copper (Top electrode)
Tantalum oxide
dielectric
Glass
Ta/Cu/Ta
544
For the glass TPVs, GT-PRC and its partners have
demonstrated excimer laser-based via formation process with
much lower cost, followed by electroless or sputtered copper
metallization. The process can achieve aspect ratios of 5-10.
To form tantalum oxide dielectrics in TPVs, tantalum is
sputtered with a DC-magnetron. A pressure of 6 mtorr and
power of 350 W is used in the current work, to yield a
sputtering rate of 1-2 A/sec. The coverage with tantalum can be
further improved with an inductively-coupled power supply.
The tantalum film is subsequently anodized in citric acid to
form conformal tantalum oxide films, as shown in Figure 7c
and 7d. The resulting film has a dielectric constant of 21-28.
For anodization at 8 V in potentiostatic mode, this yields a
conformal dielectric of about 30-35 nm, with a capacitance
density of 5-6 nF/mm2. The capacitance densities, though not
as high as that for ferroelectric films, are stable at GHz
frequencies due to paraelectric behavior and can effectively
address broadband decoupling needs. The films show a low
leakage current of 3-5 nA/cm2 at the typical operating voltage
of 2-3 V as shown in Figure 8. A cross-section of the TPV
structure is shown in Figure 9. The top electrode is sputtered
and subtractive-patterned to yield the TPV capacitor test-
structures as shown by the process test-vehicle in Figure 10.
Figure 10: Top View of the fabricated sample
IV. PDN IMPEDANCE ANALYSIS FOR 3D GLASS
INTEROSERS
This section describes the benefits of the proposed coaxial
vias for PDN applications, by modeling the PDN response with
and without decoupling vias from previous sections.
Figure 11: Flow Chart for the segmented PDN approach
Figure 12: PDN Port Locations
System PDN Impedance Modeling
The simulated system configuration consists of a four-metal
layer glass interposer with dimensions as shown in Table 1.
Since modeling the entire PDN including vias and PWB
interconnects is challenging due to simulation time, a
combination of segments from full-wave simulations and spice
integration is used to perform PDN system analysis. This
method, described in detail in [4] and figure 11, was used to
compute the total PDN impedance profile in frequency domain,
through integration of distributed ports across the package and
PWB planes. The PDN impedance of individual package and
PWB planes is modeled using a 3D EM solver (HFSS). The
multi-port P/G plane impedance models are then integrated
with BGA and via lumped parasitics at appropriate ports
depending on the configuration. Figure 12 presents numbered
port locations for BGA and coaxial via group net placement. In
this PDN study, the interposer is considered to be always
connected to the PWB through BGAs and Vias, in order to
model the impact of TPVs and BGA variations. The
assumptions for BGA placement in this study are the same as
[4] and table 6, and the vias are placed from ports 1-20 on both
the interposer and PWB, with the impedance profile studied at
port 19 of the interposer.
Table 5: Dielectric properties of substrate materials
Material Dielectric
Constant, 𝜀@
1MHz
Loss
tangent, tan δ
Borosilicate Glass 5.3 0.004
Polymer Laminate 3.01 0.005
Tantalum oxide 25 0.001
Table 6: BGA Port Configuration
Configuration
No. of
P/G
BGAs
PKG to
PWB port
connections
L(pH) /port
Full BGA array 700 1-16 7.69
3D Interposer 300 1-12 4.7
Cu electrode to access power via
545
PDN impact due to 3D interposers
Previously [4], it was shown that the loop inductance for
this double-side 3D interposer-package was trace-dominated
and the reduction of interposer P/G BGAs due to the bottom
die placement had minimal impact on the system PDN self-
impedance at low frequencies. Figure 13 shows the PDN
profile comparison between glass interposers with fully
populated BGA arrays and centrally depopulated BGA’s with
reduced second level P/G interconnections to represent the 3D
interposer configuration. The 3D interposer PDN generates
high frequency (8-10 GHz) impedance peaks from to parallel
resonance modes. This phenomenon is proposed to occur due
to multi-mode coupling between the additional lateral plane
inductance on the interposer package and the package
capacitance.
PDN impact due to Decoupling Coaxial Vias
A comparison of the PDN profile before and after the
addition of decoupling vias is presented in Figure 14. For the
purpose of this study, and based on the analysis from section II,
decoupling vias with a capacitance of 30pF/via are considered.
Based on the system configuration, 2000 of these coaxial vias
are assumed to be present in parallel, as a part of the interposer
PDN. Both the full-array interposer and 3D interposer PDN
have shifted series resonances occurring at 100 MHz due to the
series coupling between the decoupling capacitance and the
plane capacitance. The addition of decoupling vias completely
suppresses the 3D interposer resonances around 10 GHz and
shifts the resonance to lower frequencies, presenting a clear
benefit in power delivery design.
PDN impact due to Decoupling Coaxial Vias Configuration
Figure 15 presents the comparison of the PDN profile based
on the variation of decoupling vias distribution on the 3D
interposer. For the purpose of this study, we consider three
types of arrangements based on the coaxial via distribution; (a)
uniform distribution across the entire P/G plane, (b) Staggered
distribution at the center and periphery, and (c) coaxial vias on
the periphery only. All the three cases have the same amount of
decoupling vias (2000), but are only different in their
distribution as shown in table 7. It can be seen that the uniform
distribution presents the lowest impedance profile, followed by
staggered and peripheral configurations. This is due to the
minimization of loop inductances due to localized capacitance
action.
Table 7: Coaxial Via Port Configuration
Via Distribution PKG to PWB
port connections
Uniform 1-20
Staggered 1-16
Peripheral 1-12
PDN impact due to Decoupling Coaxial via Capacitance
Figure 16 presents the comparison of the PDN profile based
on the variation of decoupling vias capacitance on the 3D
interposer due to different process and stack-up technologies.
For the purpose of this study, three types of arrangements are
considered, - (a) 30pF/via, representing a high capacitance
density P/G via in glass (b) 3pF/via, representing current
generation P/G capacitance from tantalum deposition on glass,
and (c) 25fF/via, representing a polymer based coaxial vias. It
can be seen that each capacitance technology will provide
decoupling capacitances at specific frequencies based on their
resonance frequencies, and the highest PDN benefit can be
obtained by having the largest capacitance near the chip
probing location.
Figure 13: PDN impact due to 3D interposers
Figure 14: Resonance suppression due to coaxial vias
Figure 15: PDN impact due to via placement variations
1E
8
1E
9
1E
10
1E
7
2E
10
1E-1
1
1E1
1E-2
7E1
Frequency (Hz)M
ag (
Z11
)
PCB+ Interposer
PDN for 2D Full
BGA Glass
Interposer
Parallel Resonance between P/G
Plane capacitance and Lateral
Trace Inductance
PCB+ Interposer
P/G Planes for 3D
Double Side
Interposer
1E
7
1E
8
1E
9
1E
10
1E
6
2E
10
1E-1
1
1E1
1E-2
5E12D
Interposer
3D
Interposer
Resonance Suppressed
due to Coaxial TPVs
for 3D interposer
Frequency (Hz)
Ma
g (
Z11
)
Frequency (Hz)
Ma
g (
Z11
)
Uniform
Staggered
1E
7
1E
8
1E
9
1E
10
1E
6
2E
10
1E-1
1
1E1
1E-2
4E1
Peripheral
546
Figure 16: PDN impact due to decoupling via capacitance
variation
V. SUMMARY AND CONCLUSION
This paper examines the modeling, analysis, design, and
fabrication of coaxial TPVs to improve power integrity of 3D
glass interposers. The addition of co-axial TPVs generated a
decoupling network between the P/G planes, thus reducing the
magnitude of PDN resonances. Based on the proposed
structure, a uniform grid distribution of coaxial vias was found
to have the maximum benefit to suppress 3-D system self-
impedance. Cross-sections from the process test vehicles based
on ultra-thin 100µm glass samples containing coaxial TPVs
were fabricated. Overall, the proposed coaxial method enables
effective PDN design in 3D interposers, offering a simpler and
scalable approach to improve power integrity.
Acknowledgments
The authors would like to acknowledge the LGIP
consortium industry members for their support and Srikrishna
Sitaraman and Vijay Sukumaran for useful discussions.
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Frequency (Hz)
Ma
g (
Z11
)
1E
7
1E
8
1E
9
1E
10
1E
6
2E
10
1E-1
1
1E1
1E2
1E-2
25fF/Via
3pF/Via
30pF/ViaLower capacitance shifts
to higher frequencies
547