Forum for Electromagnetic Research Methods and Application Technologies (FERMAT) Periodic Leaky-Wave Array Antenna on Substrate Integrated Waveguide for Gain Enhancement by Anirban Sarkar 1 , Soumava Mukherjee 2 , Animesh Biswas 3 Department of Electrical Engineering Indian Institute of Technology Kanpur Kanpur-208016, India 1 [email protected], 2 [email protected], 3 [email protected]Abstract: In this paper, 2-elements and 4-elements substrate integrated waveguide (SIW) based leaky-wave array antennas are presented and their performances are compared. The enhanced gain and scan angles for 2-elements are 15.4 dBi and 45º respectively and for 4- elements the same is 18.4 dBi and 30º respectively. In the final design of 4-elements array antenna, sinusoidal variation of slot length is used to reduce the side lobe level (SLL). A 1x4 cascaded SIW power divider with effective matching port is used to feed the antenna. Simulations of the antennas are carried out using HFSS software and presented here. Keywords: Frequency scanning; gain enhancement; leaky-wave array antenna; substrate integrated waveguide; power divider. References: [1] M. Bozzi, A. Georgiadis and K. Wu, “Review of substrate-integrated waveguide circuits and antennas,” IET Microw. Antennas Propag., Vol. 5, pp. 909–920, 2011. [2] Z. Kordiboroujeni and J. Bornemann, “Designing the width of substrate integrated waveguide structures,” IEEE Microwave and Wireless Compon. Lett., vol. 23, no. 10, pp. 518-520, Oct. 2013. [3] J. Liu and D.R. Jackson, “Substrate integrated waveguide (SIW) leaky-wave antenna with transverse slots,” IEEE Trans. Antennas Propag., vol. 60, no. 1, pp. 20-29, Jan 2012. [4] Y. Mohtashami and J.R. Mohassel, “A butterfly substrate integrated waveguide leaky wave antenna,” IEEE Trans. Antennas Propag., vol. 62, no. 6, pp. 3384-3388, Jun. 2014. [5] S. Dutta, S. Mukherjee, and A. Biswas, “Design of broadband power divider based on substrate integrated waveguide technology,” IEEE Applied Electromagnetics Conference (AEMC), Bhubaneswar, Dec. 2013.
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Forum for Electromagnetic Research Methods and Application Technologies (FERMAT)
Department of Electrical Engineering Indian Institute of Technology Kanpur
India
OutlineOutline
Leaky Wave Antennas (LWAs) and Classifications
Substrate Integrated Waveguide (SIW)
LWA Array by SIW Based Power Divider
2
Gain Enhancement
Side Lobe Level (SLL) Reduction
Conclusion
References
Presented By: Anirban Sarkar
DefinitionDefinition
“An antenna that couples power in small increments per unit length either continuously or discretely from a travelling wave structure to free space” [1-2].
Leaky Wave Antennas (LWAs) (IEEE Standard 145-1993)
3
Leaky-wave antenna belongs to the traveling-wave antenna family. Propagation wavenumber is a complex number. The phase constant β of the wave controls the beam angle. The attenuation constant α controls the beamwidth.
Simple feed-network and easy matching at input and output. Beams of different shapes i.e. conical, fan, pencil beams etc. Can provide very narrow beams. Beam scanning (from backward to forward quadrant). Can be flush mounted (e,g with missile body). Directivity and scanning performances can be comparable Directivity and scanning performances can be comparable
to those of array antenna.
Applications
LWAs can find application in various wireless links (control andmonitor systems, WLAN, Radar etc.) particularly in the microwaveand mm-wave ranges, Automotive collision avoidance applications.
Substrate Integrated Waveguide is an attractive technology which incorporateswaveguide circuits in planar form by incorporating rows of metallic vias toimplement the side wall of the waveguide.
b
s
p
saa ds
95.0
2
where,
5
as
b
p
Dielectric substrate
Dominant Mode : 10TE
Characteristic Impedance of SIW : w
s
PI Za
bZ
8
2
dp
s
aa
p
g
r
d
2
5
95.0
Presented By: Anirban Sarkar
1x2 Y1x2 Y--Type SIW Power Type SIW Power DDividerivider6
port1
port3
port2
Presented By: Anirban Sarkar
port1
port5
port4
port3
port2
1x4 Cascaded SIW Power 1x4 Cascaded SIW Power DDividerivider7
Presented By: Anirban Sarkar
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Design 1Design 1
Presented By: Anirban Sarkar
2 elements SIW based LWAs array. 1x2 Y-type SIW power divider.
Proposed geometry specification
frequency range : X- bandsubstrate type : polyethylenesusubsbstrattrate e heighheight t ((hh) ) : : 1mm1mmdielectric constant (Ɛr) : 2.25tanδ : 0.001length of the radiator ~ 10λ0
Periodicity of the slots is chosen as about 1/13 of the guided wavelength to avoid multi-beam operation.
a = 10.5 mm, l_slot = 4.55mm, d = 2.5mm, w_slot = 0.45mm, s=1.6mm, r=0.4mm, g=5.71mm
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Floquet’sFloquet’s Theorem for Theorem for Periodic StructuresPeriodic Structures
Floquet’s theorem says, in a periodic system, for a given mode of propagation at a given steadystate frequency, the fields at one cross section differ from those one period (or an integer multiple of periods) away by only a complex constant .
where, here ‘n’ no. of spatial floquet harmonics
0, 1, 2,n
2zn z
n
d
Presented By: Anirban Sarkar
11
contd..
00 n k 0 0nk
0n
1
0
sin mk
2
1
2 21
2 d
Phase constant for TE10 mode
The direction of maximum beam
θm is the angle of maximum beam direction measured from broadside to end-fire
Presented By: Anirban Sarkar
contd..12
Design 2Design 2
4-elements SIW based LWAs array. 1x4 cascaded SIW power dividers. The sinusoidal variation of slots amplitude with
aperture field distribution Better side-lobe level (SLL) than before.
sinusoidal variation
Presented By: Anirban Sarkar
13
Simulated ResponseSimulated Response
Presented By: Anirban Sarkar
contd.. Radiation PatternsRadiation Patterns
antenna 1 antenna 2
14
Maximum Gain : 15.4 dBi
Frequency scanning range : 45º
the fast wave region falls under
10.5-11.9 GHz
Maximum Gain : 18.4 dBi
Frequency scanning range : 30º
the fast wave region falls under
10.9-11.9 GHz
Presented By: Anirban Sarkar
33--D Polar Plot of Radiation PatternsD Polar Plot of Radiation Patterns
antenna 1antenna 2
15Presented By: Anirban Sarkar
16
ConclusionConclusion
In this proposed design a 1x4 cascaded SIW power divider fed leaky-wave antenna is introduced.
By transforming the design from 1x2 to 1x4, gain is enhanced by 3 dB withacceptable SLL.
Presented By: Anirban Sarkar
Due to the mutual coupling between the two adjacent elements with periodicslots, design limits the frequency scan range of 45º to 30º.
The proposed design is low profile, low cost and can be easily integratedinto microwave and mm-wave circuits.
References
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8. K. Zhang, D. Li, “Electromagnetic theory for microwaves and optoelectronics,” Springer, 2nd edition, Verlag Berlin Heidelberg 2008.
9. A. A. Oliner,Radiating periodic structures: Analysis in terms of k versus β diagrams. Jun. 4, 1963, short course on microwave field and
17
9. A. A. Oliner,Radiating periodic structures: Analysis in terms of k versus β diagrams. Jun. 4, 1963, short course on microwave field and
network techniques.10. P. Baccarelli, S. Paulotto, and D. R. Jackson, “Broadside radiation properties of 1-D microstrip leaky-wave antennas,”ICEAA’05, pp.
755–758, Turin, Italy, 12-16 Sept. 2005.
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15. T. Zhao, D. R. Jackson, J. T. Williams, H.-Y. D. Yang, and A. A. Oliner, “2-D periodic leaky-wave antennas—part I: Metal patchdesign,” IEEE Trans. Antennas Propagat, vol. 53, no. 11, pp. 3505–3514, Nov. 2005.
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Presented By: Anirban Sarkar
contd..18
17. M. Guglielmi and D. R. Jackson, “Broadside radiation from periodic leaky-wave antennas,” IEEE Trans. Antennas Propag., vol. 41,no. 1, pp. 31-37, Jan 1993.
18. L. Liu, C. Caloz and T. Itoh, “Dominant mode leaky-wave antenna with backfire to endfire scanning capability,” Electronics Letters,vol. 38, no. 23, pp. 1414-1416, 7th Nov. 2002.
19. F. P. Casares-Miranda, C. C. Penalosa and C. Caloz, “High-gain active composite right/left-handed leaky-wave antenna,” IEEETrans. Antennas Propag., vol. 54, no. 8, pp. 2292-2300, Aug. 2006.
20. A. Rahman, Y. Hao and C. G. Parini “Cross-polar component suppression of interdigital-capacitor and stub-inductor-based leaky-wave antenna,” Electronics Letters., vol. 45, no. 1, 1st Jan. 2009.
21. J. Liu, D. R. Jackson and Y. Long, “Substrate integrated waveguide (SIW) leaky-wave antenna with transverse slots,” IEEE Trans.Antennas Propag., vol. 60, no. 1, pp. 20-29, Jan 2012.
22. M. Majumdar, A. Alphones, J. Cheng and Nasimuddin, “Compact leaky-wave antenna with periodical slots on substrate integratedwaveguide” EuCAP’2014: The 8th European Conference on Antennas and Propagation, 2014.waveguide” EuCAP’2014: The 8 European Conference on Antennas and Propagation, 2014.
23. S. Matsuzawa, K. Sato, Y. Inoe and T. Nomura, “Steerable composite right/left-handed leaky wave antenna for automotive radarapplications” Proceedings of the 36th European Microwave Conference, Sep. 2006, Manchester, UK.