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FEBRUARY 2006<br />

THE INTERNATIONAL MAGAZINE FOR ELECTRON<strong>IC</strong> PACKAGING APPL<strong>IC</strong>ATIONS<br />

<strong>The</strong> <strong>IC</strong> <strong>Package</strong>:<br />

Providing the Missing Link<br />

High-performance <strong>The</strong>rmal Materials<br />

Measuring 3-D <strong>Package</strong>s<br />

<strong>The</strong> Cu Nail: an Innovative Approach to 3-D S<strong>IC</strong><br />

Metal Deposition for Wafer Bumping<br />

www.apmag.com<br />

Copyright by PennWell Corporation


<strong>The</strong> <strong>IC</strong> <strong>Package</strong><br />

Cover Image<br />

courtesy of<br />

Cadence Design Systems<br />

MISSING LINK BETWEEN NANOMETER SIL<strong>IC</strong>ON AND MULTI-GIGABIT PCB SYSTEMS<br />

BY AN-YU KUO AND ZHEN MU<br />

As nanometer-scale <strong>IC</strong>s become<br />

commonplace andprinted<br />

circuit board (PCB)<br />

system data rates achieve<br />

multi-gigabit levels, it is increasingly<br />

important for designers to consider the<br />

entire system interconnect — from <strong>IC</strong><br />

to package to board to package. From<br />

this vantage point, <strong>IC</strong> package design<br />

takes on new importance. It becomes<br />

the critical link in the signal and power<br />

paths where money and time are<br />

gained or lost.<br />

In the face of this pressure, highspeed<br />

<strong>IC</strong> package designers must ensure<br />

both signal and power integrity<br />

by making certain <strong>IC</strong> package structures<br />

are properly modeled, extracted,<br />

and simulated with the rest of the circuit<br />

on both signal and power delivery<br />

paths. Fortunately, integrated modeling<br />

and analysis techniques and tools<br />

are available to describe a complicated<br />

package structure with true 3-D representations,<br />

and simulate those representations<br />

in the context of system<br />

interconnect. <strong>The</strong>se tools help designers<br />

consider the package effect from<br />

designs and make decisions based on<br />

actual conditions, thus reducing design<br />

iterations, cycles, and development<br />

time.<br />

3-D Modeling<br />

As modeling is an integral part of the<br />

design and analysis of <strong>IC</strong> packages, it<br />

is important to look at the options. For<br />

the past two decades, 2-D field solvers<br />

have been used successfully for<br />

modeling traces on PCBs. However,<br />

increasing package complexity and<br />

density has resulted in signal traces<br />

with more vias, segments, and discontinuities.<br />

Complex packages place<br />

traces on many layers. <strong>Package</strong>-interconnect<br />

elements, such as nonorthogonal<br />

traces, vias, wire bonds, and solder<br />

balls must be modeled. As 2-D field<br />

solvers cannot address 3-D behaviors,<br />

3-D solutions have to be used. <strong>The</strong>re<br />

are two types of complementary 3-D<br />

field solvers — full-wave and quasistatic<br />

— that are useful in representing<br />

package behavior, depending on<br />

the application. Both can be used in<br />

conjunction with 2-D solvers.<br />

As illustrated in Figure 1, signals<br />

propagate in a simple transverse electromagnetic<br />

(TEM) mode on long<br />

transmission lines. For these designs,<br />

traditional 2-D field solvers are<br />

accurate enough and much faster than<br />

3-D field solvers. However, Figure 2<br />

shows how signal propagation modes<br />

in packages require a 3-D field solver.<br />

Quasi-static and Full-wave<br />

Field Solvers<br />

Quasi-static field solvers are used when<br />

signals traveling on conductive paths<br />

have lower speeds — usually data<br />

rates below 5 Gbps. Quasi-static solvers<br />

produce field solutions by ignoring<br />

the displacement current. With such<br />

simplification, electrical fields remain<br />

static outside conductors, but magnetic<br />

fields retain frequency dependency<br />

inside conductors so that the skin effect<br />

can be accounted for properly.<br />

Capacitance (C) and conductance (G)<br />

of a structure are determined by electrical<br />

fields only; resistance (R) and<br />

Photo courtesy of Amkor Technologies, Inc.


89591.5<br />

83992.0<br />

78392.6<br />

72793.1<br />

67193.6<br />

61594.2<br />

55994.7<br />

50395.2<br />

44795.8<br />

39196.3<br />

33596.8<br />

27997.3<br />

22397.9<br />

16798.4<br />

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0<br />

Figure 1. Electrical field distribution on a long differential pair.<br />

inductance (L) are determined only by<br />

magnetic 0602apKuof1 fields. In other words, by ignoring<br />

the displacement current, magnetic<br />

and electrical<br />

147849.0<br />

fields are decoupled<br />

138608.4<br />

in the quasi-static<br />

129367.9<br />

theory, and can be<br />

120127.3<br />

solved independently.<br />

Because of the<br />

110886.8<br />

101646.2<br />

92405.6<br />

decoupling between<br />

83165.1<br />

electrical and magnetic<br />

fields, a qua-<br />

64683.9<br />

73924.5<br />

si-static field solver 55443.4<br />

46202.8<br />

is quicker and can<br />

36962.3<br />

solve much bigger<br />

27721.7<br />

problems than a fullwave<br />

solver. Many 9240.6<br />

18481.1<br />

0<br />

modern quasi-static<br />

solvers can perform<br />

whole-package<br />

RLGC extraction of a complicated<br />

package design in a few hours.<br />

0602apKuof2<br />

Most designers wonder about the<br />

highest frequency at which the quasistatic<br />

assumption is still valid. While it<br />

is difficult to provide a universal upper<br />

limit to the applicability of quasi-static<br />

solvers, in high-speed package designs, 3<br />

to 4 GHz is an acceptable value.<br />

Full-wave field solvers are used in cases<br />

where strong electromagnetic coupling,<br />

resonance, and radiation require<br />

accurate solutions of Maxwell equations.<br />

A full-wave field solver is capable<br />

of solving Maxwell equations at any<br />

given frequency. It solves electrical and<br />

magnetic fields together so that the interaction<br />

between electrical and magnetic<br />

fields is handled properly. As a result,<br />

this type of solver can take into account<br />

displacement currents,<br />

electromagnetic<br />

radiation, and<br />

field coupling. Because<br />

there are limits<br />

in computer capacities,<br />

full-wave field<br />

solvers are best applied<br />

to obtain solutions<br />

of small geometries;<br />

for example,<br />

z coupled critical signal<br />

traces carrying<br />

y<br />

x 12.5-Gbps signals.<br />

In practice, designers<br />

will use 3-D field<br />

solvers in addition to<br />

2-D solvers. While the choice of field solvers<br />

is application-dependent, any field<br />

solver must be integrated into a design<br />

Figure 2. Electrical field distribution of a package model.<br />

Integrating Packaging Effects 0602apKuof3 in<br />

z<br />

I/O<br />

driver<br />

system that enables engineers<br />

to explore, design,<br />

implement, and<br />

verify interconnect topologies<br />

and electrical<br />

constraints through<br />

simulation. Such an integrated<br />

environment<br />

can eliminate time<br />

wasted in translations<br />

and re-entering of design<br />

data, in addition to ensuring product<br />

performance.<br />

x<br />

y<br />

RC model<br />

of RDL<br />

Represent<br />

RDL from <strong>IC</strong> tool<br />

High-Speed Design<br />

Today’s high-speed digital systems are<br />

characterized by high current capacity,<br />

high data rates, and low voltage,<br />

forcing design focus on power delivery.<br />

<strong>The</strong> challenge of providing sufficient<br />

and stable power to active devices<br />

through PCBs and packages<br />

elevates power delivery design to the<br />

system level. To solve the problem,<br />

the <strong>IC</strong>, package, and board must be<br />

considered.<br />

To illustrate how designers can use 3-<br />

D package representations and efficiently<br />

simulate those representations within a<br />

cross-domain environment, an example<br />

demonstrates addressing signal delays by<br />

modeling package interconnects with a<br />

quasi-static 3-D field solver, and by simulating<br />

the entire signal paths from output<br />

buffers to input buffers. This differs<br />

from the typical current flow/methodology<br />

where the power supply to the <strong>IC</strong><br />

core is assumed ideal, or at best, attenuated<br />

by a lumped, fixed-impedance, approximated<br />

load meant to represent the<br />

<strong>IC</strong> package and the PCB.<br />

Figure 3 shows the die-to-die signal path<br />

and highlights the importance of working<br />

in an integrated design and analysis environment<br />

that allows for cross-domain<br />

communication. It is a virtual or abstract<br />

system interconnect model (VS<strong>IC</strong>), which<br />

enables complete modeling and analysis<br />

of the interconnect across silicon, package,<br />

and PCB. <strong>The</strong> redistribution layer<br />

(RDL) model is drawn from the <strong>IC</strong> database,<br />

the package parasitics from the <strong>IC</strong><br />

package tool, and the board trace models<br />

from the PCB layout tool.<br />

Figure 4 provides a look at the simulation<br />

flow for the same circuit within<br />

3-D model extraction<br />

for package parasitics<br />

<strong>Package</strong><br />

parasitics<br />

RDL and package<br />

repeating here<br />

(ignored)<br />

I/O<br />

receiver<br />

Trace model<br />

on board<br />

2-D model of<br />

traces on board<br />

Figure 3. VS<strong>IC</strong> model of a buffer-to-buffer interconnect pathway.<br />

the design and analysis environment.<br />

Following the simulation flow, a net<br />

on the design can be modeled in three<br />

pieces: the RDL equivalent model, the<br />

3-D package model, and the 2-D board<br />

trace model. By simulating the extracted<br />

circuit, signal distortion and delay<br />

between output buffer and input buffer<br />

can be measured.


C O V E R S T O R Y<br />

Driver I/O:<br />

model<br />

Receiver I/O:<br />

model<br />

Integrated design and analysis environment<br />

<strong>Package</strong> layout file<br />

3-D package<br />

model extraction<br />

(RLGC, S-parameter)<br />

Simulating signal path<br />

(single or coupled)<br />

Measure and report<br />

signal degradation,<br />

crosstalk, and delays<br />

from die pad to board<br />

through package<br />

To ensure power integrity, two fundamental<br />

design requirements must be<br />

0602apKuof4<br />

met. Sufficient supply voltage and current<br />

must be delivered from the battery to <strong>IC</strong>s<br />

through PCBs and packages, and the supply<br />

must be kept clean and stable during<br />

the operating range of the device.<br />

Sufficient power supply to the <strong>IC</strong> core<br />

circuitry demands a low impedance<br />

path for the entire power delivery network,<br />

while the stability of supply voltages<br />

requires the power delivery network<br />

to have the desired level of noise<br />

immunity induced by simultaneous<br />

switching of high-speed signals during<br />

device/system operation. If a low-impedance<br />

path for a power delivery network<br />

can be maintained, then a stable<br />

power supply should be achieved easily.<br />

Easier said than done? Not if this oftenoverlooked<br />

missing link is taken into<br />

consideration — the successful provision<br />

and maintenance of a low-impedance<br />

path for the power supply at the<br />

frequency range of interest.<br />

PCB interconnects,<br />

load information<br />

RDL RC model<br />

Figure 4. An integrated environment provides a complete solution for<br />

system-level timing analysis.<br />

Providing sufficient<br />

and stable power to<br />

active devices through<br />

PCBs and packages<br />

elevates power<br />

delivery design to the<br />

system level.<br />

To create an ideal<br />

low-impedance<br />

path, an effective<br />

plane configuration<br />

on the PCB and corresponding<br />

power<br />

and ground net<br />

structures on the <strong>IC</strong><br />

package is used. If<br />

the target low impedance<br />

cannot be<br />

achieved, a decoupling<br />

strategy must<br />

be used. Although<br />

the design of a lowimpedance<br />

path can<br />

be achieved using<br />

frequency-domain<br />

simulation, the final<br />

power supply network should be<br />

verified in the time domain to see how<br />

much power has been lost through the<br />

PCB and package, and if the power supply<br />

variation (voltage<br />

ripple) is controlled<br />

within a certain budget<br />

when noise is injected<br />

into the power<br />

supply network.<br />

Both the design<br />

and verification<br />

phases can be<br />

achieved by modeling<br />

each element of<br />

y<br />

z<br />

the power delivery x<br />

path and performing<br />

an overall simulation<br />

of the entire quasi-static field solver.<br />

path. Because of the<br />

0602apKuof5<br />

geometric complexity of the power and<br />

ground nets in an <strong>IC</strong> package, and the<br />

overwhelming circuit size of the power<br />

grid in an <strong>IC</strong>, one simulation tool can<br />

not be expected to simulate the entire<br />

power and ground paths. <strong>The</strong>refore, it is<br />

essential to use integrated flow of simulation<br />

tools that support either <strong>IC</strong>, package,<br />

or board-level simulation.<br />

Key to making this methodology viable<br />

is the adoption of an integrated<br />

co-design methodology between the<br />

<strong>IC</strong> core and package design. By using<br />

a co-design process, the actual <strong>IC</strong> dieto-package<br />

interfaces (<strong>IC</strong>-core, verilog<br />

port names and <strong>IC</strong>-package, die-footprint<br />

bump names) can be mapped and<br />

used for building a complete power and<br />

ground network from voltage source to<br />

<strong>IC</strong> die; including the intermediate <strong>IC</strong><br />

package model, which is modeled as a<br />

true 3-D quasi-static model. This power<br />

and ground supply network 3-D model<br />

of the <strong>IC</strong> package (Figure 5) is connected<br />

to the power grid on the <strong>IC</strong> core, enabling<br />

dynamic IR-drop simulation.<br />

In real design cases, worst-case IR-drop<br />

can be 20% higher when package effects<br />

are included in the IR-drop simulation<br />

than when they’re not. <strong>The</strong>refore, by using<br />

a methodology that allows for <strong>IC</strong><br />

package co-design and analysis, more accurate<br />

results are achievable, and a rightfirst-time<br />

tapeout for both the <strong>IC</strong> and the<br />

<strong>IC</strong> package is possible.<br />

Figure 5. 3-D model of the power and ground networks created by a<br />

Conclusion<br />

High-speed system design must consider<br />

<strong>IC</strong> package effects to alleviate SI and<br />

power delivery problems of final<br />

assembled devices. Both fullwave<br />

and quasi-static field solvers<br />

are needed to represent package<br />

behavior. Despite common belief,<br />

2- and 3-D field solvers are complementary<br />

to each other in targeting different<br />

applications. A simulation environment<br />

with integrated field solvers is essential<br />

in providing complete signal integrity<br />

and power delivery solutions for highspeed<br />

<strong>IC</strong>/package and PCB designs. AP<br />

AN-YU KUO, Ph.D., CTO, may be contacted at<br />

Optimal Corp., 6980 Santa Teresa Blvd., Suite 100,<br />

San Jose, CA 95119-1346; 408/363-6300; E-mail:<br />

aykuo@optimalcorp.com. ZHEN MU, Ph.D., senior<br />

technologist, may be contact at Cadence Design<br />

Systems Inc., 2655 Seely Ave., San Jose, CA 95134;<br />

408/943-1234; E-mail: zhenm@cadence.com.

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