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Transmission Line Designer >
Transmission Lines  >
   Edge-Coupled Symmetric Microstrip Transmission Lines       


Edge-Coupled Symmetric Microstrip Transmission Lines

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Keyword

Default

Unit

Description

W

Req (Phys)

m

Conductor width

S

Req (Phys)

m

Spacing between conductors

P

0

m

Physical length of transmission line

Z0

Req (Elec Opt 1)

ohm

Impedance of the coupled lines

K

Req (Elec Opt 1)

dB

Coupling coefficient (positive)

Zo

Req (Elec Opt 2)

ohm

Odd-mode impedance of the coupled lines

Ze

Req (Elec Opt 2)

ohm

Even-mode impedance of the coupled lines

E

0

deg

Electrical length of the coupled lines

Frequency

0

Hz

Analysis frequency

ER

Required

 

Relative dielectric constant

H

Required

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

 

Synthesis and Analysis

Two options exist for the synthesis of coupled microstrip transmission lines:

— Specify impedance, Z0, and coupling coefficient, K.

— Specify even-mode impedance, Ze, and odd-mode impedance, Zo.

• The substrate parameters H, and ER must be entered prior to clicking the Synthesis button. The width of the microstrip lines, W, and the spacing between them, S, will be computed. Also, the alternate electrical option set will be computed (e.g., if Z0 and K are entered, Ze and Zo will be computed).

• For analysis, the parameters W, S, H, and ER must be entered prior to clicking the Analysis button. The electrical properties, Z0, K, Zo, and Ze 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 the frequency, 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.

 

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 propagation characteristics. Up to three conductors of different metals and thicknesses 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 coupled microstrip transmission lines are:

Frequency
Width, W
Spacing, S

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 coupled microstrip medium, select TRL on the Product menu, click Microstrip, and click CPL. Set the units to mm and GHz. We will use the following parameters for synthesizing a 6-dB coupler at 10 GHz:

Impedance, Z0: 50 ohms

Coupling, K: 6 dB

Frequency: 10 GHz

Substrate thickness, H: 0.635 mm

Dielectric constant, ER: 9.8

Metal: Cu 0.01 mm

 

 

Click the Synthesis button to determine the coupler parameters:

Width, W: 0.369 mm

Spacing, S: 0.055 mm

Odd-mode impedance, Zo: 28.82 ohms

Odd-mode Keff: 5.46

Even-mode impedance, Ze: 86.74 ohms

Even-mode Keff: 7.08

 

 

To specify a 1/4 wavelength line, enter:

Electrical length, E: 90

 

Click Synthesis again to determine the physical length:

Physical length, P: 2.99 mm
Notice that the average Keff for the even and odd modes is used in the calculation.

 

To perform a sweep analysis of the conductor spacing, type in:

Spacing, S: 0.03, 0.06, 0.01 mm

by typing (0.03 0.06 0.01); the space bar will insert a comma and indicate that a sweep is desired. Click Analysis to get the following results:

 

Coupled Lines in Microstrip

H = 0.635mm ER = 9.80 TAND = 0.00000 T/H = 0.0157

Loss (dB/mm )

Freq S/H W/H ZE ZO KE KO Even Mode Odd Mode

ghz Ohms Ohms Cond Diel Cond Diel

 

10.0 0.047 0.581 88.0 24.8 7.020 5.441 0.0046 0.0000 0.0165 0.0000

10.0 0.063 0.581 87.5 26.6 7.040 5.446 0.0046 0.0000 0.0154 0.0000

10.0 0.079 0.581 87.0 28.1 7.056 5.450 0.0047 0.0000 0.0145 0.0000

10.0 0.094 0.581 86.5 29.4 7.070 5.456 0.0047 0.0000 0.0139 0.0000

 

You can also sweep frequency and width, W, to get analysis results as a function of these parameters.




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