- •I. INTRODUCTION
- •Figure 1.
- •Figure 2.
- •Figure 3.
- •III. THE FULL-WAVE THREE-DIMENSIONAL MODELING BASED APPROACHED WITH DISTRIBUTED ELEMENT K-INVERTERS OF LEVY AND RHODES
- •Figure 4.
- •Figure 5.
- •Figure 6.
- •Figure 7.
- •IV. RESULTS AND DISCUSSIONS
- •Figure 8.
- •Figure 9.
- •Figure 10.
- •ACKNOWLEDGMENTS
- •APPENDIX
- •TABLE A.I
- •TABLE A.II
- •TABLE A.III
- •TABLE A.IV
- •TABLE A.V
- •TABLE A.VI
- •REFERENCES
- •BIOGRAPHIES
496 |
Yin, Vasilye¨a, and Pramanick |
|
|
|
|
|
||
TABLE A.VI |
|
|
|
|
|
|
||
|
|
|
|
|
|
|
|
|
Subscript |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
|
|
|
|
|
|
|
|
|
|
|
an |
y5.110218 |
269.62985 |
y5114.286 |
40,156.08 |
y132,811.7 |
154,001.36 |
219,700.02 |
|
bn |
10.03031 |
y474.21337 |
8555.9757 |
y66,050.905 |
216,276.59 |
y238,895.5 |
y345,494.8 |
|
cn |
y10.95823 |
530.47506 |
y9680.056 |
75,067.135 |
y246,485.21 |
276,671.14 |
398,306.57 |
|
dn |
7.5658361 |
y387.17781 |
7250.784 |
y56,629.031 |
186,716.73 |
y212,462.3 |
y304,690.2 |
|
en |
0.567431 |
y57.55465 |
1313.661 |
y10,820.966 |
36,717.24 |
y46,698.45 |
y64,991.2 |
|
fn |
y15,56967 |
727.32606 |
y13041.8 |
100,561.59 |
y329,027.08 |
363,345.39 |
52,521.03 |
|
gn |
12.359701 |
y624.86493 |
11,635.633 |
y90,804.017 |
299,220.47 |
y340,838.4 |
y488,655.3 |
|
hn |
7.5211831 |
y343.08569 |
6067.9326 |
y46,547.759 |
151,763.05 |
y165,127.9 |
y239,853.2 |
|
in |
y5.41811 |
310.18088 |
y6077.117 |
48,027.133 |
y159,334.68 |
185,155.69 |
263,976.22 |
|
jn |
y1.190582 |
53.686586 |
y945.5064 |
7245.5926 |
y23,596.91 |
25,407.113 |
37,016.448 |
Phase w,
y s a q bz q cz 2 q dz3 q ez 4 q fz 5 q gz6 ,
where y is f and z is r0ra. Hence,
a s a1 q b1 x q |
|
|
|
c1 |
|
q d1 x 2 q |
|
|
|
e1 |
q f1 x 3 q |
|
|
g1 |
|||||||||||||||||||||||||||||||||||
|
|
|
|
|
|
x |
|
|
|
x 2 |
|
|
|
|
|
|
|
x 3 |
|
|
|
|
|
|
|||||||||||||||||||||||||
q h1 x 4 q |
|
|
i1 |
q j1 x 5 , |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|||||||||||||||||||||||||||||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|||||||||||||||||||||
|
|
x 4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|||||||||||||||||||||||||||||||||
b s a2 q b2 x q |
c2 |
|
q d2 x 2 q |
e2 |
q f2 x 3 q |
g2 |
|||||||||||||||||||||||||||||||||||||||||||
x |
|
x 2 |
x 3 |
||||||||||||||||||||||||||||||||||||||||||||||
q h2 x 4 q |
i2 |
|
q j2 x 5 , |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||||||||||||||||||||||||||||||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||||||||||||||||||||||||
x 4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||||||||||||||||||||||||||||||||||
c s a3 q b3 x q |
|
|
c3 |
|
q d3 x 2 q |
|
|
e3 |
q f3 x 3 q |
|
|
g3 |
|||||||||||||||||||||||||||||||||||||
|
x |
|
|
x 2 |
|
|
|
x 3 |
|
|
|||||||||||||||||||||||||||||||||||||||
q h3 x 4 q |
|
i3 |
q j3 x 5 , |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||||||||||||||||||||||||||||||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||||||||||||||||||||||||||
x 4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|||||||||||||||||||||||||||||||||||
d s a4 q b4 x q |
|
|
c4 |
|
q d4 x 2 q |
|
|
|
e4 |
q f4 x 3 q |
|
|
g4 |
||||||||||||||||||||||||||||||||||||
|
x |
|
|
x 2 |
|
|
|
x 3 |
|
|
|||||||||||||||||||||||||||||||||||||||
q h4 x 4 q |
|
|
i4 |
q j4 x 5 , |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|||||||||||||||||||||||||||||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||||||||||||||||||||||||||||
x 4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|||||||||||||||||||||||||||||||||||
e s a5 q b5 x q |
|
|
|
c5 |
|
q d5 x 2 q |
|
|
|
|
e5 |
q f5 x 3 q |
|
|
g5 |
||||||||||||||||||||||||||||||||||
|
|
x |
|
|
|
x 2 |
|
|
|
|
x 3 |
|
|
|
|||||||||||||||||||||||||||||||||||
q h5 x 4 q |
|
|
|
|
i5 |
q j5 x 5 , |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|||||||||||||||||||||||||||||
|
|
x 4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||||||||||||||||||||||||||||||
f s a6 q b6 x q |
|
|
|
c6 |
|
q d6 x 2 q |
|
|
|
|
e6 |
q f6 x 3 q |
|
|
|
g6 |
|||||||||||||||||||||||||||||||||
|
x |
|
|
x 2 |
|
|
|
x 3 |
|
|
|||||||||||||||||||||||||||||||||||||||
q h6 x 4 q |
|
|
i6 |
q j6 x 5 , |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|||||||||||||||||||||||||||||||
x 4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||||||||||||||||||||||||||||||||||
g s a7 q b7 x q |
|
c7 |
|
q d7 x 2 q |
|
e7 |
q f7 x 3 q |
|
g7 |
||||||||||||||||||||||||||||||||||||||||
x |
|
x 2 |
|
x 3 |
|
||||||||||||||||||||||||||||||||||||||||||||
q h7 x 4 q |
|
|
|
i7 |
q j7 x 5 , |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||||||||||||||||||||||||||||||
x 4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
where x is frfc. See Table A.VI.
REFERENCES
1.G. Matthaei, L. Young, and E. M. T. Jones, Mi- crowa¨e Filters, Impedance Matching Networks and
Coupled Structures. Artech House, Norwood, MA, 1992.
2.J. Uher, J. Bornemann, and U. Rosenberg, Wa¨e- guide Components for Antenna Feed Systems: Theory and CAD. Artech House, Norwood, MA, 1995.
3.R. Levy, ‘‘Theory of Direct Coupled Cavity Filters,’’
IEEE Trans. Microwa¨e Theory Tech., MTT-15, June, 1967, pp. 340]348.
4.MICROSTRIPE, Transmission Line Matrix Analysis Based Software. KCC, Kimberly Communications Consultants Ltd., Nottingham, U.K., 1996.
5.EMPIRE, FDTD Based Software. IMST, KampLintfort, Germany, 1998.
6.HFSS, Finite Element Method Based Software. Hewlett and Packard, Palo Alto, CA, 1997.
7.FULL-WAVE, Finite Element Analysis Based Soft- ware. Infolytica Corporation, Montreal, Canada, 1998.
8.SONNET, Moment Method Based Software. Sonnet Software Inc., Liverpool, NY, 1998.
9.EMSIGHT, Moment Method Based Software. Applied Wave Research, Inc., Redondo Beach, CA, 1998.
10.MOMENTUM, Hewlett and Packard, Palo Alto, CA, 1998.
11.IE3D, Zealand Software Inc., Fremont, CA, 1998.
12.R. Gesche and N. Loechel, ‘‘Scattering by a Lossy
Dielectric Cylinder in a Rectangular Waveguide,’’
IEEE Trans. Microwa¨e Theory Tech., Vol. 36, No. 1, January, 1988, pp. 137]144.
13.R. Levy, ‘‘Theory of Direct Coupled Cavity Filters,’’
IEEE Trans. Microwa¨e Theory Tech., Vol. MTT-15, No. 6, June, 1967, pp. 340]348.
14.J. D. Rhodes, Theory of Electric Filters. John Wiley & Sons, New York, 1976.
15.N. Marcuvitz, Wa¨eguide Handbook. McGraw-Hill, New York, 1950.
3D Simulators and Wa¨eguide Bandpass Filter Design |
497 |
BIOGRAPHIES
Shi Yin was born in Jiangsu, China, on October 30, 1962. He received the B.S. and M.S. degrees in Electrical engineering from Nanjing Institute of Technologyrenamed as Southeast University., Nanjing, China, in 1983 and 1985 respectively. Since 1996, he has been studying as a graduate student in the Department of Electrical Engineering, University of
Saskatchewan, Canada. His current research interests include computer-aided design of microwave components.
Tatyana I. Vasilyeva was born in Kharkov, Ukraine. She graduated from the Physics Department of Kharkov University in 1973 and received the Ph.D. degree in 1990 from Rostov University, Russia. From 1981 to 1995 she was with the Institute of Radiophysics and Electronics of the national Academy of Science of Ukraine. Since 1995 she has been on leave from this Institute and currently she is with the Electrical Engineering Department of the University of Saskatchewan, Saskatoon, Canada. Her current research is software for the design of microwave devices. She is an author of about 20 journal papers. Photo not available..
Protap Pramanick obtained the B. Tech.Hons.. degree in Electronics and Electrical Communication Engineering from the Indian Institute of Technology in 1977 and the Ph.D. degree in Microwave Engineering from the Indian Institute of Technology, Kanpur, India in 1982. In 1982 he joined the Department of Electrical Engineering, University of Ottawa,
as a postdoctoral fellow. In 1984, he joined the Canadian Marconi Company, Ottawa, as a senior design specialist in the Avionics Division. In April 1986 he joined Com Dev Limited, Cambridge, Ontario. Since July 1992 he has been working as an associate professor in the Department of Electrical Engineering, University of Saskatchewan, Saskatoon, Saskatchewan, Canada. Dr. Pramanick holds several patents on filters for cellular radio. He co-edited the book, E-plane Integrated Circuits Artech jouse, 1987.; and contributed to the books Topics in Millimeter-Wa¨e Engineering Academic Press, 1988., Microwa¨e Solid State Circuit Design Wiley Interscience, 1988., and Handbook of Microwa¨e Engineering
Academic Press, 1994.. He has published extensively on microwave integrated circuits. He is on the editorial review board of IEEE Transaction on Microwa¨e Theory and Tech- niques and the International Journal of Microwa¨e and Millime- ter-Wa¨e Computer-Aided Engineering. Dr. Pramanick is also the CEO of Polar Waves Consulting and a senior member of the IEEE.