elektronika electronics - Electronics Journal - Elektrotehnicki fakultet

36
Input
ports
Input
ports
Input
ports
MOD[S21]
MOD[S21]
1
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0
L1 L2 L6 L5 L4 L3 L2 L1
50 Ω
ELECTRONICS, VOL. 8, NO.1, MAY 2004.
50 Ω
Fig.4. Example 1 – Line with a hole
and asymmetrically placed leader lines.
Asymmetrical
Symmetrical
Output
ports
0 5000 10000 15000 20000 25000 30000 35000 40000 45000 50000
f[MHz]
Fig.5. Responses of the lines shown in Example 1.
1
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
L1 L2 L3 L4 L5 L6 L6 L5 L4 L3 L2 L1
50 Ω 50 Ω
50 Ω
Fig.6. Example 2 – Line with a hole
and symmetrically placed leader lines.
L1 L2 L3 L4 L5 L6 L6 L5 L4 L3 L2 L1
Fig.7. Example 2 – Line with a hole
and asymmetrically placed leader lines.
Symmetrical
Asymmetrical
50 Ω
0
0 5000 10000 15000 20000 25000 30000 35000 40000 45000 50000
f[MHz]
Fig.8. Responses of the lines shown in Example 2.
Output
ports
Output
ports
MOD[S21, S31]
Input
ports
1
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0
L1
50Ω
L2 L7
L1
50 Ω
50 Ω
Fig.9. Example 3 – Tree.
MOD[S21]
MOD[S31]
Output
ports 1
Output
ports 2
0 5000 10000 15000 20000 25000 30000 35000 40000 45000 50000
f[MHz]
Fig.10. Responses of the line shown in Example 3.
V. CONCLUSION
The procedure for frequency analysis of planar microwave
structures is completely given in the papers [1-5]. Here, it is
extended for the analysis of a microstrip lines with a hole of
arbitrary shape.
Several examples of such lines are analyzed in this paper.
The shown results are obtained by program FAMIL that is
done in MATLAB.
The results of analysis obtained here show that the
microstrip line with hole have resonant feature. Therefore,
this type of circuits can be use for synthesis of various type
filters.
ACKNOWLEDGMENT
This work has been supported by the Ministry of Science,
Technologies and Development of Republic of Serbia.
REFERENCES
[1] B. Stojanović and M. Gmitrović, “Analysis of 2D Lumped
Circuit by Equivalent Thevenin Source Method”, 14 th
International Conference on Microwaves, Radar and Wireless
Communications - MIKON 2002, May 20-22, 2002, Gdansk,
Poland, pp. 549-552.
[2] B. Stojanović and M. Gmitrović, “Planar Transmission Line
Analysis”, XVLI Yugoslav Conference –ETRAN, June 3-6,
2002, Banja Vrućica (Teslić), Republic of Srpska, pp. 241-244.
[3] M. Gmitrovi} and B. Stojanovi}, “Analysis of Cascade-
Connected Planar Transmission Lines by ETS Method”,
XXXVII International Scientific Conference on Information,
Communication and Energy Systems and Technologies - ICEST
2002, October 1-4, 2002, Ni{, Yugoslavia, Volume 1, pp. 317-
320.
[4] B. Stojanovi} and M. Gmitrovi}, “Analysis of Cascade-
Connected Transmission Lines with Different Widths by ETS
Method”, X Telecommunication Forum - TELFOR 2002,
November 26-28, Belgrade, Yugoslavia, pp. 595-598.
[5] B. Stojanović and M. Gmitrović, “Modelling and Analysis of
Cascade-Connected Planar Transmission Lines”, XII