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Coaxial Cable

Keyword	Default	Unit	Description
D	Req (Phys)	m	Diameter of the inner conductor
DO	Req (Phys)	m	Diameter of the outer conductor
P	0	m	Physical length of coaxial cable
Z0	Req (Elec)	ohm	Characteristic impedance of coaxial cable
Er	Req		Relative dielectric constant
Frequency	0	Hz	Analysis frequency
Tand	0		Dielectric loss tangent
RGH	0	m	Rms surface roughness
E	0	deg	Electrical length of coaxial cable

Synthesis and Analysis

• To synthesize coaxial cable, the parameters Z0, D0 and ER must be entered prior to clicking the Synthesis button. The inner diameter D will be computed.

• For analysis, the parameters D, D0, and ER must be entered prior to clicking the Analysis button. The characteristic 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 then click Analysis to compute E.

Dielectric

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

Conductor Metallization

The conductor loss is specified by the resistivity, metallization rms surface roughness RGH, and the cable dimensions.

Sweep Options

Parameters that can be swept for coaxial cable are:

Frequency

Inner diameter, D

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

εr ≥ 1

DO > D

Example

To select coaxial cable, select TRL on the Product menu and select Coaxial Cable. Select the units for mm and GHz. We will use the following parameters for synthesis and analysis of the coaxial cable:

Line impedance, Z0: 50 ohms

Diameter of outer conductor, DO: 5.0 mm

Dielectric constant, ER: 2.2

Frequency: 1 GHZ

Electric Length, E: 90 degrees

Dielectric loss, TAND: 0.001

Metal: Au

Click the Synthesis button to determine the diameter of the cable’s inner conductor:

Diameter of inner conductor, D: 1.453 mm

Physical length, P: 50.53 mm

Next, we can use analysis to sweep the diameter of the inner conductor from 1 to 2 mm. Enter the sweep by typing 1,2,0.1 in the D box. Clicking Analysis then yields:

Electrical Length= 90.00 deg

Coaxial Cable Analysis

Do = 5.000mm ER = 2.20 TAND = 0.00100 rb = 2.4400 [micro-Ohm-cm]

Freq d Do/D Zo D Loss C Loss T Loss

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

1.0000 1.0000 5.0000 65.1050 0.0001 0.0003 0.0004

1.0000 1.1000 4.5455 61.2495 0.0001 0.0002 0.0004

1.0000 1.2000 4.1667 57.7297 0.0001 0.0002 0.0004

1.0000 1.3000 3.8462 54.4918 0.0001 0.0002 0.0004

1.0000 1.4000 3.5714 51.4940 0.0001 0.0002 0.0004

1.0000 1.5000 3.3333 48.7031 0.0001 0.0002 0.0004

1.0000 1.6000 3.1250 46.0924 0.0001 0.0002 0.0004

1.0000 1.7000 2.9412 43.6400 0.0001 0.0002 0.0004

1.0000 1.8000 2.7778 41.3278 0.0001 0.0002 0.0004

1.0000 1.9000 2.6316 39.1407 0.0001 0.0003 0.0004

1.0000 2.0000 2.5000 37.0658 0.0001 0.0003 0.0004

You can also sweep the analysis frequency. You will note that the impedance will not change with frequency since there is no dispersion for the coaxial cable model.

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