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Transmission Line Designer >
Grounded Coplanar Waveguide   


Grounded Coplanar Waveguide

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Keyword

Default

Unit

Description

W

Req (Phys)

m

Conductor width

W/D

 

 

W/(W+2G)

G

Req (Phys)

m

Gap width

P

0

m

Physical length of transmission line

Z0

Req

ohm

Characteristic impedance

E

0

deg

Electrical length of transmission line

Frequency

Req

Hz

Analysis frequency

ER

Req

 

Relative dielectric constant

H

Req

m

Substrate thickness

HL

inf.

m

Distance between bottom of substrate and ground

HU

inf.

m

Cover height above substrate

A

inf.

m

Width between sidewalls

TAND

0

 

Dielectric loss tangent

RGH

0

m

Rms surface roughness

 

Synthesis and Analysis

• To synthesize grounded coplanar waveguide, the parameters (Z0, G, H, and ER) or (Z0, W, H and ER) must be entered prior to clicking the Synthesis button. The width, W, and W/D will be computed if G is entered and W is left empty, while G will be computed if W is entered and G is left empty.

• For analysis, the parameters (W, G) or (W/D, G), H, Frequency and ER must be entered prior to clicking the Analysis button. The impedance, Z0, will be computed.

• For now, the frequency is not taken into consideration, and thus it has no effect on the results other than the electrical length.

• 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 Substrate

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

 

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 metals and thicknesses can be specified. Refer to the Metallization section for further information.

• 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 grounded coplanar waveguide are:

Frequency
Normalized width ratio, W/D

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

 

Limitations

To maintain accuracy, the following limitations should be followed:,

where λg is the guide wavelength

 

Example

To select the grounded coplanar waveguide medium, select TRL on the Product menu and select Grounded Coplanar Waveguide. Set the units to mm and GHz. We will use the following parameters for synthesizing a 50-ohm line:

Impedance, Z0: 50 ohms

Frequency: 10 GHz

Gap, G: 0.5 mm

Substrate thickness, H: 0.635 mm

Upper height, HU: 5.0 mm

Dielectric constant, ER: 9.8

Dielectric loss, TAND: 0.001

Metal: Cu 0.01 mm

 

 

Click the Synthesis button to determine the line’s parameters:

Width, W: 0.522178 mm

Keff: 5.871

 

 

To specify a 1/4 wavelength line, enter:

Electrical length, E: 90

 

 

Click Synthesis again to determine the corresponding physical length:

Physical length, P: 3.09306 mm

 

 

The loss of the medium can be observed by sweeping frequency. Sweep from 5 to 50 GHz in steps of 5 GHz by typing 5,50,5 in the Frequency field. Click Analysis. The results of the frequency sweep are as follows:

 

Grounded Coplanar Waveguide Analysis

G = 0.500mm H/G = 1.3 ER = 9.80 TAND = 0.00100 T/G = 0.0200

Freq W/(W+2G) W Z0 Keff C Loss D loss T Loss

ghz mm Ohm (db/mm ) (db/mm ) (db/mm )

5.0 0.343 0.522 49.95 5.871 0.0033 0.0010 0.0043

10.0 0.343 0.522 49.95 5.871 0.0046 0.0020 0.0067

15.0 0.343 0.522 49.95 5.871 0.0057 0.0031 0.0087

20.0 0.343 0.522 49.95 5.871 0.0065 0.0041 0.0106

25.0 0.343 0.522 49.95 5.871 0.0073 0.0051 0.0124

30.0 0.343 0.522 49.95 5.871 0.0080 0.0061 0.0141

35.0 0.343 0.522 49.95 5.871 0.0086 0.0071 0.0158

40.0 0.343 0.522 49.95 5.871 0.0092 0.0082 0.0174

45.0 0.343 0.522 49.95 5.871 0.0098 0.0092 0.0190

50.0 0.343 0.522 49.95 5.871 0.0103 0.0102 0.0205

 




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