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2126 IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, VOL. 58, NO. 6, JUNE 2010
Low-Cost High Gain Planar Antenna Array for 60-GHz
Band Applications
Xiao-Ping Chen, Ke Wu, Liang Han, and Fanfan He
Abstract—An effective development of a class of low-cost planar an-
tenna arrays having a high reproducibility is presented for 60-GHz band
system applications. The proposed antenna arrays, based on the substrate
integrated waveguide (SIW) scheme, consists of one compact SIW 12-way
power divider and 12 radiating SIWs each supporting 12 radiating slots.
A 50-
 conductor-backed coplanar waveguide (CBCPW) integrated with
CBCPW-to-SIW transition is directly used as the input of the antenna
array, thus allowing to accommodate other circuits or MMICs at a
minimum cost. An antenna array prototype was implemented on Rogers
RT/Duroid 6002 substrate with thickness of 20 mils by our standard PCB
process. Measured gain is about 22 dBi with a side lobe suppression of 25
dB in the H-plane and 15 dB in the E-Plane while the bandwidth for the
10-dB return loss is 2.5 GHz.
Index Terms—Planar antenna array, power divider, substrate integrated
waveguide (SIW), 60-GHz band.
I. INTRODUCTION
60-GHz band wireless applications have recently received much
attention because the allocated unlicensed bandwidth of 7 GHz enables
attractive gigabit-per-second applications, including high definition
multimedia interface, uncompressed high definition video streaming,
high-speed internet, wireless gigabit Ethernet, and close-range auto-
motive radar sensor. One of the most important parts of such systems is
the antenna since it strongly influences the overall receiver sensitivity
and the link budget. With the consideration on the higher path loss
and oxygen absorption of 15 dB/km around 60 GHz band, high-gain
and mass-reproducible planar arrays have strongly been desired. High
radiation efficiency is also important for the system cost reduction as
well as the system performance enhancement [1].
To date, a vast amount of different planar antennas have been studied
for millimeter-wave radio and radar applications. Although high gain
operations have been demonstrated with microstrip patch antenna ar-
rays, these configurations suffer from serious loss in the millimetre-
wave band; the efficiency decreases as the gain and/or frequency be-
comes higher even though those antenna design techniques are basi-
cally mature. It was roughly estimated that the efficiency of microstrip
arrays with gain of 35 dBi would be lower than 20% in the 60 GHz
band [2]. On-chip antennas also have other drawbacks. Their radiation
efficiency on conductive high-permittivity silicon is poor and in spite
of the short wavelength, they still occupy a non-negligible area on an
MMIC chip, which is an important cost factor. The situation is even
worse if arrays need to be realized to achieve necessary gain of about
15 to 20 dBi in order to bridge intended distances of up to 10 meters in
a WPAN environment [3].
On the other hand, waveguide slot antenna arrays are the most at-
tractive candidates for high-gain planar antennas, having the smallest
Manuscript received July 13, 2009; revised October 09, 2009; accepted Jan-
uary 11, 2010. Date of publication March 29, 2010; date of current version June
03, 2010. This work was supported in part by the Natural Sciences and Engi-
neering Research Council (NSERC) of Canada.
The authors are with the Poly-Grames Research Center, Department of Elec-
trical Engineering, Ecole Polytechnique de Montreal (University of Montreal),
QC H3T 1J4, Canada (e-mail: xiao-ping.chen@polymtl.ca; ke.wu@polymtl.ca;
liang.han@polymtl.ca; fanfan.he@polymtl.ca).
Color versions of one or more of the figures in this communication are avail-
able online at http://ieeexplore.ieee.org.
Digital Object Identifier 10.1109/TAP.2010.2046861
Fig. 1. Geometric configuration of the proposed 60 GHz SIW slot antenna.
conductor loss among all the planar feeding structures [4]. However, the
complicated 3D waveguide structure has prevented its use in cost-sen-
sitive commercial applications with few exceptions of military or pro-
fessional applications. A drastic reduction of manufacturing cost of
the waveguide arrays to the level of microstrip counterparts has been
desired for a long time. Single-layer waveguides for a mass repro-
ducible planar array were presented in [5], [6]. All the waveguides
consist of two parts, which are the top plate with slots and the bottom
plate. Several types of single-layer waveguide arrays over 12-GHz and
20-GHz bands intended for high efficiency and manufacturability were
developed and extended to higher frequencies up to 60-GHz. Neverthe-
less, costly mechanical manufacturing is still required for single-layer
waveguide arrays and special transition structure should be used for
the integration with other planar circuits. Substrate integrated wave-
guide (SIW), also called post-wall waveguide or laminated waveguide
in some publications, is realized with two rows of metallised via-holes
in a metal-clad dielectric substrate by standard print-circuit-board fab-
rication technique at low cost. The antenna based on the SIW scheme
can easily be integrated with other circuits, which leads to the cost-ef-
fective subsystem. Some SIW slot antenna arrays and beam forming
networks have been developed [7]–[10].
This communication extends the design of SIW antennas to 60-GHz
band and a high-gain 60-GHz SIW slot antenna which can be directly
integrated with other planar circuits was prototyped by our standard
PCB process and experimentally demonstrated for its performance.
II. DESIGN OF THE PROPOSED ANTENNA
Fig. 1 shows the geometric configuration of the proposed 60 GHz
SIW slot array. With consideration on the dielectric properties and tem-
perature properties of dielectric substrate, Rogers/duroid 6002 with 0.5
oz. rolled copper foil is used in this work. Generally, a thick substrate
should be used to reduce the losses in connection with the top and
bottom conductors and obtain appropriate offset for the design of radi-
ating slots. In this context, 50 
conductor-backed coplanar waveguide
(CBCPW) with metalized via holes on both sides for the suppression
of unexpected modes should be used as the input of antenna by using a
transition between CBCPW and SIW. A 12-way SIW power divider is
deployed to feed 12 linear SIW slot arrays, and each of them carries 12
radiation slots etched on the broad wall of SIW. The SIW structure is
terminated with a short-circuit three-quarter guided wavelength beyond
the centre of the last radiation slot. In order to allocate the slots at the
0018-926X/$26.00 © 2010 IEEE
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, VOL. 58, NO. 6, JUNE 2010 2127
standing wave peaks and excite all the slots with the same phase condi-
tion (in-phase), the slots in a linear array are placed half a guided wave-
length at the required centre frequency and the adjacent slots have the
opposite offset with respect to the SIW centre line. The width of radia-
tion slot should be much smaller than the slot length, usually between
one tenth and one twentieth of slot length. This, of course, depends on
the bandwidth requirements. The detailed design procedure similar to
that presented in [11] is as follows.
A. Parameter Extraction of Isolated Radiation Slot
When a longitudinal slot in the broad wall of SIW is designed around
resonance and slot offset is not very big or very small, the forward
and backward wave scatterings from the slot are symmetrical in SIW
and then the slot can be equivalent to shunt admittance on transmission
line. According to the Stegen’s factorization [12], the equivalent shunt
admittance can be given as follows
Y (x; y)
G0
=
Gr
G0
1
G + jB
Gr
=g(x)h(y)=g(x) [h1(y) + jh2(y)]
where x is the offset of slot, g(x) = Gr=G0 is the resonant conduc-
tance normalized to the conductance G0 of SIW, h(y) = h1(y) +
jh2(y) = (G + jB)=Gr is the ratio of slot admittance to resonant
conductance, y = l=l(x;f) is the ratio of length to resonant length,
l(x;f) =  1 v(x)=2 = c0 1 v(x)=2f is the resonant length. In
this way, the calculation of the equivalent slot admittance is reduced to
the calculation of three single variable functions g(x), v(x), and h(y).
Commercial full-wave simulator package HFSS is used to extract g(x),
v(x), and h(y) of the isolated longitudinal slot. In our work, slot width
is 0.18 mm and SIW width a is 2.56 mm. Fig. 2(a) and (b) show g(x=a)
and v(x=a) for a discrete number of relative offsets x=a in the range
0.03–0.1. Curve fitting has been applied to approximate g(x=a) and
v(x=a) in a continuum which can be directly used in the design of the
slot array by the classical iteration procedure [13]. For each offset, the
function h(y) as shown in Fig. 2(c) has also been extracted for y in
the range 0.82–1.18. A table-look method for h(y) is used in the de-
sign procedure of the slot array. It is clear that h1(y) and h2(y) rapidly
change with the change of y around the matching point y = 1, which
shows that the bandwidth of the SIW slot array is smaller than the band-
width of conventional rectangular waveguide slot array [14].
B. Design of Antenna Array
Based on the classical pattern synthesis procedure, the excitation
voltage of slots can be obtained by using Taylor distribution for H-plane
pattern with 25 dB first side lobe level and uniform distribution for
E-plane pattern. Elliott’s method [13] is used to obtain the length and
offset of each slot for a given aperture distribution by considering the
internal and external mutual couplings. In this method, active input
admittance Y a
of each radiating SIW includes both self admittance
and mutual coupling effects with the remaining slots. A set of initial
values for slot lengths and offsets are assumed, and the mutual cou-
pling between slots is estimated according to the required slot voltage
distribution. An optimization routine is then used to identify a new set
of slot lengths and offsets such that all the slots are resonant and the
matching conditions are satisfied for each subarray. Afterwards, a new
set of mutual coupling terms are evaluated again. The procedure is iter-
ated until a convergence is reached and the final slot lengths and offsets
are obtained.
As for the SIW slot array, the slot offset in SIW may be very small
due to the dielectric-filling and height-reduced effects of SIW. There-
fore, a fine-tuning procedure may be needed to modify the slot length
and slot offset obtained by using the Elliot’s method. Some practical
design aspects are considered in this work, for example, slot width and
Fig. 2. (a) g(x), (b) v(x), and (c) h(y), of isolated longitudinal slot with slot
width 0.18 mm in the broad wall of SIW with width of 2.56 mm.
length due to the over-etching and rectangular-end slot will be changed
to rounded-end slot in the etching process. Fig. 5 shows the simulated
radiation pattern.
C. Design of Feeding Network
A 12-way power divider similar to that in [2] is used to feed the
radiating SIWs. With consideration on the symmetry of feeding
network, the feeding network shown in Fig. 3(a) consists of one
CBCPW-to-SIW transition, SIW bends and five SIW T-junctions. The
method presented in [15] is used to accurately design the transition
2128 IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, VOL. 58, NO. 6, JUNE 2010
Fig. 3. (a) Configuration, (b) simulated frequency characteristics, of feeding
network.
Fig. 4. Photograph and measured reflection coefficient of the proposed
antenna.
between 50-
 CBCPW and SIW. Usually, the slots in the CBCPW
and transition structure should be placed on the opposite side to reduce
Fig. 5. (a) Experimental setup, (b) simulated and measured radiation patterns
in both E-plane and H-Plane at 60.5 GHz.
the spurious radiation. In this work, the CBCPW slots are etched on
the same side as the radiating slots to facilitate measurements. For
the design of T-junctions, the size of coupling post-wall window is
determined by the power dividing ratio while the position of metalized
via hole is used to obtain good input matching. The adjacent radiating
SIWs are spaced by a half guided wavelength in the feeding SIW.
Therefore, the radiating SIWs are excited with alternating-phase of 180
degree by an incident travelling wave from the input port. Finally, the
overall feeding network is analyzed and optimized to compensate the
mutual coupling effect from adjacent discontinuities. Fig. 3(b) depicts
the simulated frequency characteristics of the overall feeding network.
Over the simulation frequency band, the magnitude difference of the
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, VOL. 58, NO. 6, JUNE 2010 2129
Fig. 6. Gain at different frequency points for the proposed antenna.
input power between adjacent radiating SIWs is smaller than 0.5 dB,
while the input reflection of the feeding network is better than 18 dB.
The phase difference of the input power between adjacent radiating
SIWs is within the range of 180 6 15 degree over the simulation
frequency band, which may reduce the gain bandwidth of the SIW slot
array antenna.
III. FABRICATION AND MEASUREMENT
The proposed antenna array was implemented by using linear ar-
rays of metallized via hole having the diameter of 0.3 mm and the
center-to-center pitch of 0.6 mm, which can be made with our labora-
tory’s standard PCB process. The photograph of the developed antenna
is displayed in Fig. 4. Anritsu 37397C vector network analyzer and An-
ritsu Wiltron 3680 V test fixture are used to measure the reflection co-
efficient that is depicted in Fig. 4. The measured bandwidth for 10 dB
return loss is 2.5 GHz from 59.3 GHz to 61.8 GHz. Fig. 5 shows the
experimental setup for the measurement of radiation patterns, and the
measured and simulated E-plane and H-plane patterns which very well
agree with each other. Due to the restriction of absorbers surrounding
the antenna under test, the measurement was operated in the range from
050 degree to 50 degree. The measured side lobe level is better than
15 dB in the E-plane while better than 26 dB in the H-Plane. The gain
shown in Fig. 6 was calculated from the Friis transmission equation for
different frequency points. The maximum gain is about 22 dBi, which
corresponds to the efficiency of about 68% estimated from the gain and
directivity.
IV. CONCLUSION
Planar antenna array based on the substrate integrated waveguide
(SIW) scheme is designed and realized on a standard dielectric sub-
strate by a low cost PCB process. Simulated and measured results show
that the proposed antenna has good efficiency and side lobe level, and
it can be used as a potential candidate for 60-GHz-band applications at
low cost.
REFERENCES
[1] S. K. Yong and C.-C. Chong, “An overview of multigigabit wire-
less through millimeter wave technology: Potentials and technical
challenges,” EURASIP J. Wire. Comm. Netw., vol. 2007, pp. 1–10,
2007.
[2] M. Ando and J. Hirokawa, “High-gain and high-efficiency single-
layer slotted waveguide array in 60 GHz band,” in Proc. 11th
Int. Conf. Antennas Propag., Edinburgh, U.K., 1997, vol. 1, pp.
464–468.
[3] Y. P. Zhang, M. Sun, and L. H. Guo, “On-chip antennas for 60-GHz
radios in silicon technology,” IEEE Trans. Electron Devices, vol. 52,
pp. 1664–1668, Jul. 2005.
[4] S. R. Rengarajan, M. S. Zawadzki, and R. E. Hodges, “Design, anal-
ysis, and development of a large Ka-band slot array for digital beam-
forming application,” IEEE Trans. Antennas Propag., vol. 57, no. 10,
pp. 3103–3109, Oct. 2009.
[5] M. Ando and J. Hirokawa, “System integration of planar slot array
antennas for mmwave wireless applications,” presented at the Proc.
XXVIIIth URSI, New Delhi, India, 2005.
[6] J. Hirokawa and M. Ando, “Millimeter-wave post-wall waveguide slot
array antennas,” in Proc. IEEE AP-S Int. Antennas Propag. Symp., June
2007, pp. 4381–4384.
[7] L. Yan, W. Hong, G. Hua, J. Chen, K. Wu, and T. J. Cui, “Simulation
and experiment on SIW slot array antennas,” IEEE Microw. Wireless
Comp. Lett., vol. 14, no. 9, pp. 446–448, 2004.
[8] W. Hong, B. Liu, G. Q. Luo, Q. H. Lai, J. F. Xu, Z. C. Hao, F. F. He,
and X. X. Yin, “Integrated microwave and millimeter wave antennas
based on SIW and HMSIW technology,” in Proc. Int. Workshop on
Antenna Technology: Small and Smart Antennas Metamaterials and
Applications, Mar. 2007, pp. 69–72.
[9] P. Chen, W. Hong, Z. Kuai, and J. Xu, “A double layer substrate in-
tegrated waveguide Blass matrix for beamforming applications,” IEEE
Microw. Wireless Comp. Lett., vol. 19, no. 6, pp. 374–376, Jun. 2009.
[10] S. Cheng, H. Yousef, and H. Kratz, “79 GHz slot antennas based on sub-
strate integrated waveguides (SIW) in a flexible printed circuit board,”
IEEE Trans. Antennas Propag., vol. 57, no. 1, pp. 64–71, 2009.
[11] X.-P. Chen, L. Li, and K. Wu, “Multi-antenna system based on sub-
strate integrated waveguide for Ka-band traffic-monitoring radar appli-
cations,” in Proc. 39th Eur. Microw. Conf. Symp., Roma, Italy, 2009,
pp. 417–420.
[12] R. J. Stegen, “Slot radiators and arrays at X-band,” IEEE Trans. An-
tennas Propag., vol. AP-1, pp. 62–64, Feb. 1952.
[13] R. S. Elliott, “An improved design procedure for small arrays of shunt
slots,” IEEE Trans. Antennas Propag., vol. AP-31, pp. 48–53, Jan.
1983.
[14] R. S. Elliott, Antenna Theory and Design. Hoboken, NJ: Wiley, 2003,
ch. 8.
[15] X.-P. Chen and K. Wu, “Low-loss ultra-wideband transition between
conductor-backed coplanar waveguide and substrate integrated wave-
guide,” presented at the IEEE MTT-S Int. Microw. Symp., Boston, MA,
Jun. 7–12, 2009.

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Low-Cost High Gain Planar Antenna Array for 60-GHz Band Applications

  • 1. 2126 IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, VOL. 58, NO. 6, JUNE 2010 Low-Cost High Gain Planar Antenna Array for 60-GHz Band Applications Xiao-Ping Chen, Ke Wu, Liang Han, and Fanfan He Abstract—An effective development of a class of low-cost planar an- tenna arrays having a high reproducibility is presented for 60-GHz band system applications. The proposed antenna arrays, based on the substrate integrated waveguide (SIW) scheme, consists of one compact SIW 12-way power divider and 12 radiating SIWs each supporting 12 radiating slots. A 50- conductor-backed coplanar waveguide (CBCPW) integrated with CBCPW-to-SIW transition is directly used as the input of the antenna array, thus allowing to accommodate other circuits or MMICs at a minimum cost. An antenna array prototype was implemented on Rogers RT/Duroid 6002 substrate with thickness of 20 mils by our standard PCB process. Measured gain is about 22 dBi with a side lobe suppression of 25 dB in the H-plane and 15 dB in the E-Plane while the bandwidth for the 10-dB return loss is 2.5 GHz. Index Terms—Planar antenna array, power divider, substrate integrated waveguide (SIW), 60-GHz band. I. INTRODUCTION 60-GHz band wireless applications have recently received much attention because the allocated unlicensed bandwidth of 7 GHz enables attractive gigabit-per-second applications, including high definition multimedia interface, uncompressed high definition video streaming, high-speed internet, wireless gigabit Ethernet, and close-range auto- motive radar sensor. One of the most important parts of such systems is the antenna since it strongly influences the overall receiver sensitivity and the link budget. With the consideration on the higher path loss and oxygen absorption of 15 dB/km around 60 GHz band, high-gain and mass-reproducible planar arrays have strongly been desired. High radiation efficiency is also important for the system cost reduction as well as the system performance enhancement [1]. To date, a vast amount of different planar antennas have been studied for millimeter-wave radio and radar applications. Although high gain operations have been demonstrated with microstrip patch antenna ar- rays, these configurations suffer from serious loss in the millimetre- wave band; the efficiency decreases as the gain and/or frequency be- comes higher even though those antenna design techniques are basi- cally mature. It was roughly estimated that the efficiency of microstrip arrays with gain of 35 dBi would be lower than 20% in the 60 GHz band [2]. On-chip antennas also have other drawbacks. Their radiation efficiency on conductive high-permittivity silicon is poor and in spite of the short wavelength, they still occupy a non-negligible area on an MMIC chip, which is an important cost factor. The situation is even worse if arrays need to be realized to achieve necessary gain of about 15 to 20 dBi in order to bridge intended distances of up to 10 meters in a WPAN environment [3]. On the other hand, waveguide slot antenna arrays are the most at- tractive candidates for high-gain planar antennas, having the smallest Manuscript received July 13, 2009; revised October 09, 2009; accepted Jan- uary 11, 2010. Date of publication March 29, 2010; date of current version June 03, 2010. This work was supported in part by the Natural Sciences and Engi- neering Research Council (NSERC) of Canada. The authors are with the Poly-Grames Research Center, Department of Elec- trical Engineering, Ecole Polytechnique de Montreal (University of Montreal), QC H3T 1J4, Canada (e-mail: xiao-ping.chen@polymtl.ca; ke.wu@polymtl.ca; liang.han@polymtl.ca; fanfan.he@polymtl.ca). Color versions of one or more of the figures in this communication are avail- able online at http://ieeexplore.ieee.org. Digital Object Identifier 10.1109/TAP.2010.2046861 Fig. 1. Geometric configuration of the proposed 60 GHz SIW slot antenna. conductor loss among all the planar feeding structures [4]. However, the complicated 3D waveguide structure has prevented its use in cost-sen- sitive commercial applications with few exceptions of military or pro- fessional applications. A drastic reduction of manufacturing cost of the waveguide arrays to the level of microstrip counterparts has been desired for a long time. Single-layer waveguides for a mass repro- ducible planar array were presented in [5], [6]. All the waveguides consist of two parts, which are the top plate with slots and the bottom plate. Several types of single-layer waveguide arrays over 12-GHz and 20-GHz bands intended for high efficiency and manufacturability were developed and extended to higher frequencies up to 60-GHz. Neverthe- less, costly mechanical manufacturing is still required for single-layer waveguide arrays and special transition structure should be used for the integration with other planar circuits. Substrate integrated wave- guide (SIW), also called post-wall waveguide or laminated waveguide in some publications, is realized with two rows of metallised via-holes in a metal-clad dielectric substrate by standard print-circuit-board fab- rication technique at low cost. The antenna based on the SIW scheme can easily be integrated with other circuits, which leads to the cost-ef- fective subsystem. Some SIW slot antenna arrays and beam forming networks have been developed [7]–[10]. This communication extends the design of SIW antennas to 60-GHz band and a high-gain 60-GHz SIW slot antenna which can be directly integrated with other planar circuits was prototyped by our standard PCB process and experimentally demonstrated for its performance. II. DESIGN OF THE PROPOSED ANTENNA Fig. 1 shows the geometric configuration of the proposed 60 GHz SIW slot array. With consideration on the dielectric properties and tem- perature properties of dielectric substrate, Rogers/duroid 6002 with 0.5 oz. rolled copper foil is used in this work. Generally, a thick substrate should be used to reduce the losses in connection with the top and bottom conductors and obtain appropriate offset for the design of radi- ating slots. In this context, 50 conductor-backed coplanar waveguide (CBCPW) with metalized via holes on both sides for the suppression of unexpected modes should be used as the input of antenna by using a transition between CBCPW and SIW. A 12-way SIW power divider is deployed to feed 12 linear SIW slot arrays, and each of them carries 12 radiation slots etched on the broad wall of SIW. The SIW structure is terminated with a short-circuit three-quarter guided wavelength beyond the centre of the last radiation slot. In order to allocate the slots at the 0018-926X/$26.00 © 2010 IEEE
  • 2. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, VOL. 58, NO. 6, JUNE 2010 2127 standing wave peaks and excite all the slots with the same phase condi- tion (in-phase), the slots in a linear array are placed half a guided wave- length at the required centre frequency and the adjacent slots have the opposite offset with respect to the SIW centre line. The width of radia- tion slot should be much smaller than the slot length, usually between one tenth and one twentieth of slot length. This, of course, depends on the bandwidth requirements. The detailed design procedure similar to that presented in [11] is as follows. A. Parameter Extraction of Isolated Radiation Slot When a longitudinal slot in the broad wall of SIW is designed around resonance and slot offset is not very big or very small, the forward and backward wave scatterings from the slot are symmetrical in SIW and then the slot can be equivalent to shunt admittance on transmission line. According to the Stegen’s factorization [12], the equivalent shunt admittance can be given as follows Y (x; y) G0 = Gr G0 1 G + jB Gr =g(x)h(y)=g(x) [h1(y) + jh2(y)] where x is the offset of slot, g(x) = Gr=G0 is the resonant conduc- tance normalized to the conductance G0 of SIW, h(y) = h1(y) + jh2(y) = (G + jB)=Gr is the ratio of slot admittance to resonant conductance, y = l=l(x;f) is the ratio of length to resonant length, l(x;f) = 1 v(x)=2 = c0 1 v(x)=2f is the resonant length. In this way, the calculation of the equivalent slot admittance is reduced to the calculation of three single variable functions g(x), v(x), and h(y). Commercial full-wave simulator package HFSS is used to extract g(x), v(x), and h(y) of the isolated longitudinal slot. In our work, slot width is 0.18 mm and SIW width a is 2.56 mm. Fig. 2(a) and (b) show g(x=a) and v(x=a) for a discrete number of relative offsets x=a in the range 0.03–0.1. Curve fitting has been applied to approximate g(x=a) and v(x=a) in a continuum which can be directly used in the design of the slot array by the classical iteration procedure [13]. For each offset, the function h(y) as shown in Fig. 2(c) has also been extracted for y in the range 0.82–1.18. A table-look method for h(y) is used in the de- sign procedure of the slot array. It is clear that h1(y) and h2(y) rapidly change with the change of y around the matching point y = 1, which shows that the bandwidth of the SIW slot array is smaller than the band- width of conventional rectangular waveguide slot array [14]. B. Design of Antenna Array Based on the classical pattern synthesis procedure, the excitation voltage of slots can be obtained by using Taylor distribution for H-plane pattern with 25 dB first side lobe level and uniform distribution for E-plane pattern. Elliott’s method [13] is used to obtain the length and offset of each slot for a given aperture distribution by considering the internal and external mutual couplings. In this method, active input admittance Y a of each radiating SIW includes both self admittance and mutual coupling effects with the remaining slots. A set of initial values for slot lengths and offsets are assumed, and the mutual cou- pling between slots is estimated according to the required slot voltage distribution. An optimization routine is then used to identify a new set of slot lengths and offsets such that all the slots are resonant and the matching conditions are satisfied for each subarray. Afterwards, a new set of mutual coupling terms are evaluated again. The procedure is iter- ated until a convergence is reached and the final slot lengths and offsets are obtained. As for the SIW slot array, the slot offset in SIW may be very small due to the dielectric-filling and height-reduced effects of SIW. There- fore, a fine-tuning procedure may be needed to modify the slot length and slot offset obtained by using the Elliot’s method. Some practical design aspects are considered in this work, for example, slot width and Fig. 2. (a) g(x), (b) v(x), and (c) h(y), of isolated longitudinal slot with slot width 0.18 mm in the broad wall of SIW with width of 2.56 mm. length due to the over-etching and rectangular-end slot will be changed to rounded-end slot in the etching process. Fig. 5 shows the simulated radiation pattern. C. Design of Feeding Network A 12-way power divider similar to that in [2] is used to feed the radiating SIWs. With consideration on the symmetry of feeding network, the feeding network shown in Fig. 3(a) consists of one CBCPW-to-SIW transition, SIW bends and five SIW T-junctions. The method presented in [15] is used to accurately design the transition
  • 3. 2128 IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, VOL. 58, NO. 6, JUNE 2010 Fig. 3. (a) Configuration, (b) simulated frequency characteristics, of feeding network. Fig. 4. Photograph and measured reflection coefficient of the proposed antenna. between 50- CBCPW and SIW. Usually, the slots in the CBCPW and transition structure should be placed on the opposite side to reduce Fig. 5. (a) Experimental setup, (b) simulated and measured radiation patterns in both E-plane and H-Plane at 60.5 GHz. the spurious radiation. In this work, the CBCPW slots are etched on the same side as the radiating slots to facilitate measurements. For the design of T-junctions, the size of coupling post-wall window is determined by the power dividing ratio while the position of metalized via hole is used to obtain good input matching. The adjacent radiating SIWs are spaced by a half guided wavelength in the feeding SIW. Therefore, the radiating SIWs are excited with alternating-phase of 180 degree by an incident travelling wave from the input port. Finally, the overall feeding network is analyzed and optimized to compensate the mutual coupling effect from adjacent discontinuities. Fig. 3(b) depicts the simulated frequency characteristics of the overall feeding network. Over the simulation frequency band, the magnitude difference of the
  • 4. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, VOL. 58, NO. 6, JUNE 2010 2129 Fig. 6. Gain at different frequency points for the proposed antenna. input power between adjacent radiating SIWs is smaller than 0.5 dB, while the input reflection of the feeding network is better than 18 dB. The phase difference of the input power between adjacent radiating SIWs is within the range of 180 6 15 degree over the simulation frequency band, which may reduce the gain bandwidth of the SIW slot array antenna. III. FABRICATION AND MEASUREMENT The proposed antenna array was implemented by using linear ar- rays of metallized via hole having the diameter of 0.3 mm and the center-to-center pitch of 0.6 mm, which can be made with our labora- tory’s standard PCB process. The photograph of the developed antenna is displayed in Fig. 4. Anritsu 37397C vector network analyzer and An- ritsu Wiltron 3680 V test fixture are used to measure the reflection co- efficient that is depicted in Fig. 4. The measured bandwidth for 10 dB return loss is 2.5 GHz from 59.3 GHz to 61.8 GHz. Fig. 5 shows the experimental setup for the measurement of radiation patterns, and the measured and simulated E-plane and H-plane patterns which very well agree with each other. Due to the restriction of absorbers surrounding the antenna under test, the measurement was operated in the range from 050 degree to 50 degree. The measured side lobe level is better than 15 dB in the E-plane while better than 26 dB in the H-Plane. The gain shown in Fig. 6 was calculated from the Friis transmission equation for different frequency points. The maximum gain is about 22 dBi, which corresponds to the efficiency of about 68% estimated from the gain and directivity. IV. CONCLUSION Planar antenna array based on the substrate integrated waveguide (SIW) scheme is designed and realized on a standard dielectric sub- strate by a low cost PCB process. Simulated and measured results show that the proposed antenna has good efficiency and side lobe level, and it can be used as a potential candidate for 60-GHz-band applications at low cost. REFERENCES [1] S. K. Yong and C.-C. Chong, “An overview of multigigabit wire- less through millimeter wave technology: Potentials and technical challenges,” EURASIP J. Wire. Comm. Netw., vol. 2007, pp. 1–10, 2007. [2] M. Ando and J. Hirokawa, “High-gain and high-efficiency single- layer slotted waveguide array in 60 GHz band,” in Proc. 11th Int. Conf. Antennas Propag., Edinburgh, U.K., 1997, vol. 1, pp. 464–468. [3] Y. P. Zhang, M. Sun, and L. H. Guo, “On-chip antennas for 60-GHz radios in silicon technology,” IEEE Trans. Electron Devices, vol. 52, pp. 1664–1668, Jul. 2005. [4] S. R. Rengarajan, M. S. Zawadzki, and R. E. Hodges, “Design, anal- ysis, and development of a large Ka-band slot array for digital beam- forming application,” IEEE Trans. Antennas Propag., vol. 57, no. 10, pp. 3103–3109, Oct. 2009. [5] M. Ando and J. Hirokawa, “System integration of planar slot array antennas for mmwave wireless applications,” presented at the Proc. XXVIIIth URSI, New Delhi, India, 2005. [6] J. Hirokawa and M. Ando, “Millimeter-wave post-wall waveguide slot array antennas,” in Proc. IEEE AP-S Int. Antennas Propag. Symp., June 2007, pp. 4381–4384. [7] L. Yan, W. Hong, G. Hua, J. Chen, K. Wu, and T. J. Cui, “Simulation and experiment on SIW slot array antennas,” IEEE Microw. Wireless Comp. Lett., vol. 14, no. 9, pp. 446–448, 2004. [8] W. Hong, B. Liu, G. Q. Luo, Q. H. Lai, J. F. Xu, Z. C. Hao, F. F. He, and X. X. Yin, “Integrated microwave and millimeter wave antennas based on SIW and HMSIW technology,” in Proc. Int. Workshop on Antenna Technology: Small and Smart Antennas Metamaterials and Applications, Mar. 2007, pp. 69–72. [9] P. Chen, W. Hong, Z. Kuai, and J. Xu, “A double layer substrate in- tegrated waveguide Blass matrix for beamforming applications,” IEEE Microw. Wireless Comp. Lett., vol. 19, no. 6, pp. 374–376, Jun. 2009. [10] S. Cheng, H. Yousef, and H. Kratz, “79 GHz slot antennas based on sub- strate integrated waveguides (SIW) in a flexible printed circuit board,” IEEE Trans. Antennas Propag., vol. 57, no. 1, pp. 64–71, 2009. [11] X.-P. Chen, L. Li, and K. Wu, “Multi-antenna system based on sub- strate integrated waveguide for Ka-band traffic-monitoring radar appli- cations,” in Proc. 39th Eur. Microw. Conf. Symp., Roma, Italy, 2009, pp. 417–420. [12] R. J. Stegen, “Slot radiators and arrays at X-band,” IEEE Trans. An- tennas Propag., vol. AP-1, pp. 62–64, Feb. 1952. [13] R. S. Elliott, “An improved design procedure for small arrays of shunt slots,” IEEE Trans. Antennas Propag., vol. AP-31, pp. 48–53, Jan. 1983. [14] R. S. Elliott, Antenna Theory and Design. Hoboken, NJ: Wiley, 2003, ch. 8. [15] X.-P. Chen and K. Wu, “Low-loss ultra-wideband transition between conductor-backed coplanar waveguide and substrate integrated wave- guide,” presented at the IEEE MTT-S Int. Microw. Symp., Boston, MA, Jun. 7–12, 2009.