A Microwave Transmission Line Courseware Based on Multiple 1 … · 2017-01-06 · A Microwave...
Transcript of A Microwave Transmission Line Courseware Based on Multiple 1 … · 2017-01-06 · A Microwave...
Forum for Electromagnetic Research Methods and Application Technologies (FERMAT)
A Microwave Transmission Line Courseware
Based on Multiple 1-D FDTD Method on
Mobile Devices
By
Zaifeng Yang and Eng Leong Tan
Speaker: Zaifeng Yang
School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore.
Abstract: This paper presents a multiple 1-D finite-difference time-domain (FDTD) method to analyze
transmission line with stubs on mobile devices for educational courseware. The update equations of the
proposed method are given for the main transmission line and open/short-circuited stubs. The proposed
method is efficient and requires low memory compared with 2-D or 3-D FDTD method. It realizes an
efficient real-time simulation of microwave transmission line circuit on mobile devices without lagging.
The proposed multiple 1-D FDTD method is programmed and demonstrated on the mobile device as a
courseware.
Keywords: Multiple 1-D FDTD, education courseware, transmission line, mobile device.
References:
[1] D. M. Pozar, Microwave Engineering, 4th ed., Wiley, 2011.
[2] A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain
Method, 3rd Ed., Boston, MA, USA: Artech House, 2005.
[3] G. Cakir, M. Cakir and L. Sevgi, “A novel virtual FDTD-based microstrip circuit design and analysis
tool [Education Column],” IEEE Antennas Propag. Mag., vol. 48, no. 6, pp.161-173, Dec. 2006.
[4] Z. Yang and E. L. Tan, “A mircostrip circuit tool kit app with FDTD analysis including lumped
elements,” IEEE Microw. Mag., vol.16, no.1, pp.74-80, Jan. 2015.
Zaifeng Yang received the B.Eng. (Electrical) degree and M.Eng. degree from
Shanghai University, China. He is currently a Ph.D. student in Nanyang
Technological University, Singapore. His research interests include computational
electromagnetics, RF/microwave circuit and antenna design.
Eng Leong Tan received the B.Eng. (Electrical) degree with first class honors from
the University of Malaya, Malaysia, and the Ph.D. degree in Electrical Engineering
from Nanyang Technological University, Singapore. From 1991 to 1992, he was a
Research Assistant at the University of Malaya. From 1999 to 2002, he was a
Member of Technical Staff at the Institute for Infocomm Research, Singapore. Since
2002, he has been with the School of Electrical & Electronic Engineering, Nanyang
Technological University, where he is currently an Associate Professor. His
research interests include computational electromagnetics and acoustics,
RF/microwave circuit and antenna design.
*This use of this work is restricted solely for academic purposes. The author of this work owns the
copyright and no reproduction in any form is permitted without written permission by the author.*
Outline
I. IntroductionII. Implementation of Multiple 1-D FDTD MethodIII. Implementation on Mobile devicesIV. Conclusion
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Outline
I. IntroductionII. Implementation of Multiple 1-D FDTD MethodIII. Implementation on Mobile devicesIV. Conclusion
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I. Courseware in Class
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Courseware with demonstration on bulky computers in class
Handy mobile devices with courseware apps in class
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Commercial full‐wave Simulators Complicated modeling and setting up
I. Commercial Full-wave Simulators
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Results with S‐parameters Current distribution
I. Commercial Full-wave Simulators
Lack of real‐time simulationHow EM waves propagate?
Outline
I. IntroductionII. Implementation of Multiple 1-D FDTD MethodIII. Implementation on Mobile devicesIV. Conclusion
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II. Implementation of Multiple 1-D FDTD Method
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Circuit diagram with main transmission line, open stub(OS), short stub (SS).
Interface between the main transmission line and
the stub
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Update Equations of the main transmission line
, ,1 1 1
1
y OS SSxx p x q
y x
HE J Jt z
H Et z
1 12 2
1 1 , ,2 2
1 11 2 21 1 12 2
| | ( | | ) ( | | )
| | ( | | )
n n n n OS n SS nx k x k y y x p k x q kk k
n nn ny y x k x kk k
t tE E H H J Jz
tH H E Ez
II. Update Equations of Multiple 1-D FDTD Method
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Update Equations of the Stubs
, ,
, ,
, ,
, ,
1
1
1
1
OS OSx p z p
OS OSz p x p
SS SSx q z q
SS SSz q x q
E Ht y
H Et y
E Ht y
H Et y
1 12 2
, , , 1 , 12 2
1 11 2 2
, 1 , 1 , 1 ,2 2
1 12 2
, , , 1 , 12 2
1, 1 ,
2
| | ( | | )
| | ( | | )
| | ( | | )
| |
n nOS OS OS n OS nx p j x p j z p z pj j
n nOS n OS n OS OSz p z p x p j x p jj j
n nSS SS SS n SS nx q j x q j z q z qj j
SS n SSz q z qj
tE E H Hy
tH H E Ey
tE E H Hy
H H
1 12 2
1 , 1 ,2
( | | )n nn SS SS
x q j x q jj
t E Ey
II. Update Equations of Multiple 1-D FDTD Method
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The program flowchart of the multiple 1‐D FDTD method
II. Implementation of Multiple 1-D FDTD Method
Outline
I. IntroductionII. Implementation of Multiple 1-D FDTD MethodIII. Implementation on Mobile devicesIV. Conclusion
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III. Implementation on Mobile Devices
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Some Examples of Real-time Microstrip Circuits Simulations
on iPad / iPhone
Outline
I. IntroductionII. Implementation of Multiple 1-D FDTD MethodIII. Implementation on Mobile devicesIV. Conclusion
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IV. Conclusion
• This paper has presented a multiple 1-D FDTD method to analyzetransmission line with stubs on mobile devices for educationalcourseware.
• The update equations of the proposed method have been given forthe main transmission line and open/short-circuited stubs.
• The proposed method is efficient and requires low memorycompared with 2-D or 3-D FDTD method.
• It realizes an efficient real-time simulation of microwavetransmission line circuit on mobile devices without lagging.
• The proposed multiple 1-D FDTD method has been programmedand demonstrated on the mobile device as a courseware.
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