### Contents

### Webinar: Dielectric Anisotropy Implications for Transmission Line Impedance and Via Modeling

by Bert Simonovich

May 2nd, 2024

10:00 am to 11:00 am PT

PCBs typically use two types of transmission lines: microstrips and striplines. Each of the transmission lines consists of a signal trace and reference planes.

The primary difference between microstrip and stripline configurations is the placement of the signal conductor. In microstrip, the trace will be present on the outer layer of your circuit board. In stripline configurations, the conductor will be sandwiched between two reference planes.

**Highlights:**

- The dominant mode of propagation in microstrip is Quasi-TEM, leading to frequency-dependent phase velocity and characteristic impedance.
- Strategies to reduce microstrip losses include suspending the substrate over the air for reduced dielectric loss and wider traces for lower ohmic loss.
- Stripline, routed on internal PCB layers, provides shielding with signal traces between ground planes, reducing emissions and crosstalk.
- Stripline losses occur due to conductor conductivity, magnetic resonances, resistivity, and dielectric damping effects.

## Differences between microstrip and stripline

## What is a microstrip line in a PCB?

The microstrip line is a planar transmission line that is used prominently in RF and microwave circuits. It is routed on the PCB surface and surrounded by two environments: **PCB material** and **air**. Microstrip consists of a strip conductor (land) on a dielectric substrate backed by a ground plane that radiates when the spacing between the ground plane and the strip increases.

### What is the mode of propagation in a microstrip line?

In microstrip, the dominant mode of propagation is Quasi-TEM (Transverse Electromagnetic). Due to this, the phase velocity, characteristic impedance, and field variation in the cross-section become frequency-dependent.

### What is the effective dielectric constant (ϵ_{eff}) in a microstrip?

The electric energy stored in the microstrip arrangement lies in the air as well as in the dielectric, so** the effective dielectric constant for the signals on the transmission line will lie somewhere between that of the air and the dielectric.** This effective dielectric constant determines the phase velocity of electromagnetic waves on the microstrip transmission line.

The microstrip line is dispersive. As frequency increases, the effective dielectric constant also increases towards the substrate, resulting in the decrease of phase velocity. The effective dielectric constant considers that most of the electric fields remain within the substrate, but a certain fraction of the total energy exists within the air above the board.

**ϵ _{eff}** also varies with the free-space wavelength. The dispersion becomes more significant with the decreasing ratio of strip width to substrate thickness/width/height. Dispersion is less prominent as the strip width increases. In that case, the microstrip appears to be an ideal parallel plate capacitor.

**ϵ**should be greater than the dielectric constant of air (

_{eff}**ϵ**= 1) and less than that of the dielectric constant of the substrate. Read PCB Substrates: Knowing Your Dielectric Material’s Properties.

_{r}#### The challenge is the conductor strip is not immersed in a single dielectric

The challenging problem related to microstrip parameter calculations is that the conductor strip is not immersed in a single dielectric material. On one side, it is dielectric, and on the other side, it is usually air. The concept of effective dielectric constant is specially developed to address this challenge. The **ϵeff** represents some intermediate value between the relative dielectric constant of the board material (**ϵr**) and air (equivalent to 1). Hence, this can be used to compute microstrip parameters.

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## Characteristic impedance of a microstrip line

For a given PCB laminate and copper weight except for the width of the signal trace (W), the equation given below can be used to design a PCB trace to match the impedance required by the circuit. For the signal trace of width W and thickness T, separated by distance H from a ground (or power) plane by a PCB dielectric with dielectric constant **ϵr**, the characteristic impedance (Zo) is:

The characteristic impedance of the microstrip line changes with an increase in frequency. One point that is worth noticing here is, the IPC microstrip equation is most accurate between 50 and 100Ω, but is less accurate for lower/higher impedances.

**Note:** All dimensions are in mils.

The characteristic impedance of a transmission line can be expressed with distributed parameters:

**Zo=√[(R+jωL)/(G+jωC)]**

Where,

R is the series resistance per unit length (Ω/m)

L is the series inductance (H/m)

G is the shunt conductance (mho/m)

C is the shunt capacitance (F/m)

An ideal, lossless transmission line has R = G = 0, and the characteristic impedance, Zo reduces to **√(L/C)**. Practically, the lines include losses that attenuate the signal. This signal attenuation is directly proportional to the trace length and the signal frequency.

### Characteristic capacitance of a microstrip line

Where T is the board thickness and H is the separation between traces.

### Delay constant of a microstrip line

For a given transmission line geometry, the delay constant is a function of the dielectric constant only and not the trace dimensions. With a given PCB laminate and dielectric constant, the propagation delay constant is fixed for various impedance lines.

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## Advantages of a microstrip structure

- Microstrip is an ‘open’ line structure; it makes it very easy to connect components.
- It can be packed together with high density (multiple channels) with minimal crosstalk, making it suitable for RF and microwave IC design.
- Its planar topology is least affected by the PCB manufacturing process tolerances.
- It has a faster propagation time.
- This technique provides good heat sinking and mechanical support at the same time. Read12 PCB Thermal Management Techniques to Reduce PCB Heating.

## Losses in a microstrip line

- Finite conductivity of the line conductors
- Radiation effects (depends on the dielectric constant, substrate thickness, circuit geometry, and frequency)
- Magnetic loss relevant to magnetic substrates, say Ferrite
- Finite resistivity of the substrate and dumping phenomenon

**Note:** Despite microstrip’s low cost and compact size advantages, it is lossier than a coaxial line, waveguide, CPW, and stripline.

### How to reduce losses in a microstrip line?

It can be done by suspending the substrate over the air. Suspension of the microstrip means that the separation between the signal and ground paths increases, which also enhances the microstrip’s tendency to radiate, specifically at the discontinuities.

#### How does suspension help with loss reduction in a microstrip?

The air between the bottom of the substrate and the ground plane contains the electromagnetic field. The insertion loss of the microstrip reduces because air essentially has no dielectric loss compared to standard circuit board substrates. Additionally, the width of the microstrip line increases due to the lower effective dielectric constant. Wider lines have lower current density, and thus, lower ohmic loss. The microstrip suspension technique is used only up to a few GHz.

**Note:** A smaller width always leads to more losses.

## Multi-layer microstrip line

Microstrip geometry is used to conduct the EM waves at low frequency, but beyond 60GHz, its application is restricted due to the losses. This is the reason they cannot be used at THz frequency.

A multi-layer microstrip line can be designed on different configurations of substrate layers. It could be single, double, or multi-layered material. With the need for SoC requirements, the use of multi-layered substrates has increased at high frequency.

**Advantages of multi-layered substrate material in microstrip construction**

- Loss reduction and controlled coefficient of expansion
- Suitable for antenna design where it provides good surface wave immunity gain and bandwidth enhancement along with good mechanical integration

**Key takeaways**

- Microstrip lines consist of a strip conductor on a dielectric substrate with a ground plane, widely used in RF and microwave circuits.
- Quasi-TEM mode is the dominant mode of propagation in microstrip, leading to frequency-dependent characteristics.
- Effective dielectric constant (ϵeff) determines phase velocity and varies with substrate properties, dimensions, and frequency, leading to dispersion effects.
- Various parameters like characteristic impedance, delay constant, and loss reduction techniques impact microstrip line design.
- Multi-layer microstrip configurations offer benefits like loss reduction, controlled expansion coefficients, and suitability for antenna design.

## What is a stripline in a PCB?

Stripline is routed on the inner layers of a PCB, and that is why it is surrounded by only one environment, i.e., PCB material. This technique is preferably used in a multi-layer PCB design, and the signal trace is backed by the ground planes above and below.

In a stripline, the current return path for a high-frequency signal trace is provided above and below the signal trace on the ground (power) planes. Due to this arrangement, the high-frequency signal remains inside the PCB leading to fewer emissions and also providing shielding against incoming spurious signals.

## Characteristic impedance of a stripline

The characteristic impedance of the stripline depends on the dielectric constant and on the cross-sectional geometry of the strip center-conductor and ground planes. The characteristic impedance of the stripline decreases as the strip width **W _{e }**increases.

**Note:** b is the spacing between two planes and W_{e} is the effective strip width.

### Characteristic capacitance of a stripline

### Delay constant of stripline

The propagation delay (tpd) for a given length in stripline is only a function of the dielectric εr.

## Stripline design considerations

Stripline transmission line consists of three layers of conductors, where the internal conductor is called ‘sandwiched conductor’ while the other two connected at the signal ground are called ground conductors. The sandwiched conductor is embedded in a homogeneous and isotropic dielectric, having a dielectric constant (Er).

The electric ‘E’ and the magnetic ‘H’ field lines for the fundamental TEM mode in stripline are indicated above in a defined cross-section and a defined time.

- The region between the outer conductors of the stripline contains only a single medium. That is the reason the phase velocity and the characteristic impedance of the fundamental mode (TEM) do not vary with frequency.

### Advantages of a stripline arrangement

- It provides shielding and protection to the signal traces.
- Low impedance, hence fewer emissions, and crosstalk
- Improvement can be seen above 50MHz
- Stripline arrangement has better EMI characteristics.

### Limitations of a stripline arrangement

- Since stripline contains embedded signal traces, it is tough to debug such traces. In other words, PCB prototyping and troubleshooting would be difficult.
- Difficulty in decoupling
- Low impedance for proper matching

### What are the losses in a stripline?

- Finite conductivity of its conductors
- Magnetic resonances
- Finite resistivity and dumping phenomenon of the dielectric

## Designing a multi-layer board with stripline geometry

Stripline is often required for multi-layer circuit boards because it can be routed between the layers but grounding the stripline requires due attention. If the top and bottom ground planes are not at the same potential, a parallel-plate mode can propagate between them. If excited, this mode will not remain confined to the region near the strip but will be able to propagate wherever the two ground planes exist.

Stripline is more insensitive than microstrip to lateral ground planes of a metallic enclosure since the electromagnetic field is strongly contained near the center conductor and the top-bottom ground planes.

### What will happen if the top and bottom ground planes are not at the same potential?

A parallel plate mode will start propagating between the top and ground planes. And it will not remain confined to the region around the strip but will propagate wherever the two ground planes exist. The parallel-plate mode can be suppressed by:

- Using metalized via holes connecting the top and bottom ground planes
- Placing vias closely (spacing between vias should be 1/8 of a wavelength in the dielectric to prevent the potential difference between the ground planes.)

**If vias are placed too close to the stripline edge, they may intervene with the characteristic impedance**. So, the via spacing should be a minimum of 3 strip width.

**So, is it possible to design a multi-layer PCB without using a stripline arrangement?**

The embedded trace can be replaced by a double two-layer PCB design, i.e., four copper layers in total.

**The traces routed at the top PCB surface form a microstrip with the power plane while the bottom traces form a microstrip with the ground plane. **

Here, the signal traces of both outer layers are easily accessible for measurement and board troubleshooting purposes. However, this arrangement does not take advantage of the shielding properties of the planes leading to greater emissions and sensitivity towards external signals.

**The arrangement given on the right side of the above image uses the embedded traces and takes full advantage of the planes. **The choice between embedded and non-embedded arrangements for PCB designing can be made selectively based on what is important for you. Ease of testing or reduced EMI and EMC.

**Key takeaways:**

- Stripline configurations offer excellent shielding, low emissions, and improved EMI characteristics.
- Proper grounding techniques, including metalized via holes and careful via spacing, are essential to suppress parallel-plate modes and maintain signal integrity.
- Designers can opt for alternative configurations like embedded traces in double two-layer PCBs, balancing testing ease and EMI considerations.

Do you have a question on microstrip and stripline? Post it on SierraConnect and get it answered by an industry expert.

## Routing techniques using microstrip and stripline

Apart from manufacturing and dielectric differences, PCB microstrip and stripline designs have routing differences as well.

**Microstrip routing**: Transmission lines that are routed on the external layers are considered to be microstrip. Their modeling depends on the trace thickness and width, and the substrate height and dielectric type.

**Microstrip differential pair routing:**This technique is used for routing differential pairs and has the same arrangement as regular microstrip routing, but its model is more complex due to the additional trace spacing for the differential pair.

**Embedded microstrip routing:**This structure is similar to a regular microstrip except that there is another dielectric layer above the transmission line.

**Coplanar microstrip routing**: In coplanar microstrip routing, the signal trace is routed in parallel to two ground planes. These ground planes provide natural shielding for the signal against interference from other traces on a board.

**Stripline routing:**In this technique, the traces are routed on internal layers. Like microstrip, its modeling is based on the trace thickness and width, the substrate height, the dielectric type, and the calculations for the trace being embedded between the two planes.

**Coplanar stripline****routing**: In coplanar stripline routing, the signal trace is internally routed in parallel to two ground planes.

**Broadside-coupled stripline routing:**This technique is also used for routing internal layer differential pairs.

## Impact of surface finish and copper roughness on conductor loss

- Surface finish impacts the conductor loss due to high current density at the edge of the conductor.
- Most metal finishes used in the PCB industry are less conductive than copper (gold, nickel, aluminum, brass, solder, tin). Lower conductivity causes higher conductor losses, which increases insertion loss. Silver is the exception and does not increase copper conductor loss.
- The gold finish is very thin (about 0.05um), but skin depth will not approach this thickness until the frequency is about 1THz.
- Electroless Nickel Immersion Gold (ENIG) finish is widely used since it protects the Nickel from oxidation.
- When skin depth is close to the dimension of copper surface roughness or less, the surface roughness will significantly increase the conductor loss, which ultimately slows down the wave propagation.
- Some degree of copper roughness is always applied to promote adhesion to the dielectric material and improve the peel strength of the laminate.
- The electrical impact of conductor roughness increases with frequency, increases the capacitance, increases the group delay, decreases the characteristic impedance over a wide bandwidth, and apparently increases Dk to match the group delay vs. frequency characteristic.
- Ohmic and dielectric losses in a microstrip limit its power handling capacity.
- An increase in temperature due to conductor and dielectric losses limits the average power of the microstrip line, while the breakdown between the strip conductor and ground plane limits the peak power.

## Dielectric constant and guided wavelength of microstrip and stripline designs

Dielectric constant (how electrically dense is the material to vacuum) and loss tangent (how lossy is the material) are two critical parameters required for application-specific PCB trace design.

The dielectric constant of the PCB material is greater than 1. It lies between the dielectric constant of vacuum and air. Thus, the guided wavelength on the PCB will be shorter than the wavelength in vacuum/air, and propagation velocity will also be lower than the speed of light.

If the dielectric constant is higher, then the guided wavelength will be shorter. That is why the same length mismatch between two traces causes more propagation delay. Considering this fact, it is advisable to use a material with a low dielectric constant.

**For stripline, the guided wavelength is: **

**For microstrip, the guided wavelength is: **

- ϵeff depends on the trace width (w), height between the signal trace and ground plane (h), and ϵr.
- For the same material, the signals will propagate faster in the microstrip than in the stripline.

It is quite important to accurately design stripline and microstrip transmission lines to achieve appropriate impedance matching and/or pulse delay time. Understanding the fundamentals of microstrip and stripline routing helps PCB designers in applying these indigenous circuit technologies to their designs.

In microstrip configuration, the guided wavelength is determined by dividing the free space wavelength (which corresponds to the wavelength of light) by the square root of the effective dielectric constant (ϵeff). This dielectric constant depends on factors such as trace width (w), the distance between the signal trace and ground plane (h), and the relative permittivity (ϵr). For identical materials, signals travel faster in microstrip compared to striplines due to these factors.

Two primary transmission line configurations microstrips and striplines have distinct characteristics and applications in RF and microwave circuits. These transmission lines consist of signal trace and reference planes, with specific electromagnetic field distributions. Routing techniques like microstrip, coplanar microstrip, stripline, coplanar stripline, and broadside-coupled stripline cater to diverse design requirements.

Understanding these fundamentals is essential to create optimized microstrip and striplines and ensuring appropriate impedance matching and signal delay in your designs. Do not hesitate to post if you have any doubts regarding microstrip and striplines. Our designers will gladly help you!