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Transmission Line Designer >
Transmission Lines  >
   Microstrip Transmission Line       


Microstrip Transmission Line

[spacer]

 

Keyword

Default

Unit

Description

W

Req (Phys)

m

Conductor width

P

0

m

Physical length of transmission
line

Z0

Req (Elec)

ohm

Transmission line impedance

E

0

deg

Electrical length of transmission
line

Frequency

0

Hz

Analysis frequency

ER

Req

 

Relative dielectric constant

H

Req

m

Substrate thickness

HU

40*H

m

Cover height above substrate
(default value has negligible effect)

TAND

0

 

Dielectric loss tangent

RGH

0

m

Rms surface roughness

MSAT

0

Gauss

Saturation magnetization (4πMs)

MREM

0

Gauss

Remnant magnetization (4πMr)

TANM

0

 

Magnetic loss tangent

 

Synthesis and Analysis

• For synthesis of microstrip transmission lines, the parameters Z0, H, and ER must be entered prior to clicking the Synthesis button. The width, W, will be computed.

• For analysis, the parameters W, H, and ER must be entered prior to clicking the Analysis button. The impedance, Z0, will be computed. The frequency will be used if entered; otherwise, 0 Hz will be used in the calculation.

• Conversion from electrical length, E, to physical length, P, can be performed by entering values for E and Frequency. Click Synthesis to compute P. Similarly, to convert from physical length to electrical length, enter values for P and Frequency, and click Analysis to compute E.

 

Dielectric Substrates

A dielectric substrate is defined by the parameters H, ER, and TAND. The substrate is assumed lossless unless TAND is specified and greater than zero.

 

Magnetic Substrates

• A magnetic substrate is defined when the MSAT and MREM parameters are given. The demagnetized substrate case occurs when MSAT > 0 and MREM = 0 (default). The partially magnetized substrate (including the fully magnetized, saturated, or latched substrate case) occurs when MSAT and MREM > 0, but MREM MSAT.

• The direction of magnetic bias is assumed to be in the direction of wave propagation; that is, perpendicular to the transverse field.

• The magnetic loss tangent, TANM, can be specified to account for losses in the magnetic substrate. It is similar to the dielectric loss tangent, TAND, and its loss is added to find the total loss of the substrate.

• The minimum frequency of analysis must be greater than the gyromagnetic frequency:

•  f > 2.8 (MHz/Gauss) × MSAT (Gauss)

• where the constant of 2.8 MHz/Gauss comes from the gyromagnetic ratio (γ/2π).

• References 23-25 document propagation on magnetic substrates. In particular, the formulations by Pucel and Massé have been utilized in the program.

 

Conductor Metallization

• Conductor specification is performed in the Metallization control group. If the conductor is not specified, the conductor loss is zero and no thickness corrections are made to the line’s propagation characteristics. Up to three conductors of different metal and different thickness can be specified.

• Metallization rms surface roughness, RGH, can be specified for additional conductor losses due to imperfect metal surfaces. RGH is specified in terms of rms variation from an ideal flat surface.

 

Sweep Options

Parameters that can be swept for the microstrip transmission line are:

Frequency
Width, W

The order shown is the order used to generate output data when multiple parameters are swept simultaneously. Refer to the Sweep Entries section for further information.

 

Limitations

To maintain accuracy, the following limitations should be followed:

0.01 W/H 100

1 εr 128

 

Example

To select the microstrip transmission line medium, select TRL on the Product menu, click Microstrip, and click Single. Select the units mm and GHz. We will use the following parameters for synthesis and analysis of the transmission line:

Line impedance, Z0: 50 ohms

Substrate thickness, H: 0.635 mm

Dielectric constant, ER: 9.8

Metal: CU 0.01 mm

Loss tangent, TAND: 0.0001

 

 

Click the Synthesis button to determine the width of the line:

Width: 0.605 mm

The output that scrolls in the lower window includes the effective dielectric constant, Keff, which is this case is computed as 6.4762.

 

 

Next we can use Analysis and sweep the frequency from 0 to 30 GHz in steps of 2 GHz. Enter the sweep by typing 0,30,2 in the Frequency box. The results of the swept-frequency analysis are as follows:

 

Single Line in Microstrip

Metals: 1.67 0.0100mm

H = 0.635mm ER = 9.80 TAND = 0.00010 T/H = 0.0157

 

Freq Width W/H Z0 Keff D Loss C Loss T LOSS

ghz mm Ohms dB/mm dB/mm dB/mm

 

0.0 0.605 0.953 50.00 6.476 0.0000 0.0003 0.0003

2.0 0.605 0.953 49.97 6.516 0.0000 0.0018 0.0018

4.0 0.605 0.953 49.97 6.581 0.0001 0.0025 0.0026

6.0 0.605 0.953 50.04 6.658 0.0001 0.0031 0.0032

8.0 0.605 0.953 50.21 6.741 0.0002 0.0036 0.0038

10.0 0.605 0.953 50.46 6.830 0.0002 0.0040 0.0042

12.0 0.605 0.953 50.81 6.922 0.0003 0.0043 0.0046

14.0 0.605 0.953 51.25 7.017 0.0003 0.0046 0.0050

16.0 0.605 0.953 51.77 7.113 0.0004 0.0049 0.0053

18.0 0.605 0.953 52.38 7.209 0.0004 0.0051 0.0056

20.0 0.605 0.953 53.06 7.304 0.0005 0.0054 0.0058

22.0 0.605 0.953 53.81 7.399 0.0005 0.0055 0.0061

24.0 0.605 0.953 54.62 7.491 0.0006 0.0057 0.0063

26.0 0.605 0.953 55.48 7.580 0.0006 0.0058 0.0065

28.0 0.605 0.953 56.39 7.667 0.0007 0.0060 0.0066

30.0 0.605 0.953 57.34 7.750 0.0007 0.0061 0.0068

 

Using this sweep analysis, we can determine how the impedance and Keff change with frequency. We also see the change in dielectric loss (D Loss), conductor loss (C Loss) and the total loss (T Loss) vary with frequency. At 0 GHz, the results reproduce the synthesized impedance of 50 ohms, and this impedance then rises at higher frequencies.

 

To convert from electrical length to physical length, enter the electrical length and the frequency:

E: 45 degrees
Frequency: 10 GHz

 

 

Click Synthesis. Since the frequency is now set to 10 GHz, a new width is calculated to maintain an impedance of 50 ohms. The equivalent physical length is also computed:

W: 0.617 mm
P: 1.432 mm

 




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