In this paper, a necessary and sufficient condition concerning Huygens' principle for a family of hyperbolic equations is given, and thus Stellmacher's result is extended.
An isotropic electromagnetic （EM） lens based on Huygens＇ metasurface is proposed for 28.0 GHz lens antenna design. The lens consists of a series of non-resonant and subwavelength metallic patterns etched on both si...An isotropic electromagnetic （EM） lens based on Huygens＇ metasurface is proposed for 28.0 GHz lens antenna design. The lens consists of a series of non-resonant and subwavelength metallic patterns etched on both sides of an ultrathin dielectric substrate. Both electric and magnetic responses are introduced to realize desired abrupt phase change and high-efficiency transmission for the secondary wavelets in the incident wavefront. Then, a substrate-integrated waveguide （SIW） fed patch antenna is combined with the lens as the primary feed to form a low-profile lens antenna system. The simulated and measured results coincide with each other, and demonstrate that the prototype realizes 8.8 dB-12.6 dB gain increment and low side-lobe levels over the bandwidth of 26.7 GHz-30.0 GHz. The novel design leads to a low-profile, light weight, and low-cost antenna solution in a wireless communication system.展开更多
In this paper, we study the linear thermo-visco-elastic system in one-dimensional space variable. The mathematical model is a hyperbolic-parabolic partial differential system. The solutions of the system show some dec...In this paper, we study the linear thermo-visco-elastic system in one-dimensional space variable. The mathematical model is a hyperbolic-parabolic partial differential system. The solutions of the system show some decay property due to the parabolicity. Based on detailed analysis on the Green function of the system, the pointwise estimates of the solutions are obtained, from which the generalized Huygens’ principle is shown.展开更多
A quasi-optical dielectric lens used for W-band focal plane array passive imaging has been developed. The imaging system requires the lens to form beam spot with 3 dB width less than 35 mm at distance of 3500 mm. The ...A quasi-optical dielectric lens used for W-band focal plane array passive imaging has been developed. The imaging system requires the lens to form beam spot with 3 dB width less than 35 mm at distance of 3500 mm. The powerful optical design software ZEMAX was utilized to design the contours of the lens, and numerical method based on ray tracing and Huygens’ Principle was processed to verify the design result. Measurement result shows that the 3 dB width of the beam spot formed by the lens is 34 mm at distance of 3460 mm, and the beam pattern on imaging plane are equally arranged and the intensity decreases only 0.55 dB while the object lateral deviation increases to 300 mm.展开更多
对线性双曲型偏微分算子P(u)=utt+2b0(t)ut+c0(t)u-△u-2sum from i=1 to nbi(x)uxi-c(x)u,给出Hadamard基本解按测地距离展开的系数Ek(t,x;s,y)(k=0,1,2,…)与P(u)的系数较直接的关系,从而以E(n-1)(？)(t,x;s,y)为Huygens算子的等价条...对线性双曲型偏微分算子P(u)=utt+2b0(t)ut+c0(t)u-△u-2sum from i=1 to nbi(x)uxi-c(x)u,给出Hadamard基本解按测地距离展开的系数Ek(t,x;s,y)(k=0,1,2,…)与P(u)的系数较直接的关系,从而以E(n-1)(？)(t,x;s,y)为Huygens算子的等价条件,解析了Veselov和Berest给出的一类Huygens算子与Stellmacher算子的关系.展开更多
文摘In this paper, a necessary and sufficient condition concerning Huygens' principle for a family of hyperbolic equations is given, and thus Stellmacher's result is extended.
基金supported by the National Natural Science Foundation of China (61401229)the Science and Technology Project of Jiangsu Province (BE2015002-2)+1 种基金the Open Research Program of the State Key Laboratory of Millimeter Waves (K201616)the Nanjing University of Posts and Telecommunications Scientific Foundation (NY215137)
文摘An isotropic electromagnetic （EM） lens based on Huygens＇ metasurface is proposed for 28.0 GHz lens antenna design. The lens consists of a series of non-resonant and subwavelength metallic patterns etched on both sides of an ultrathin dielectric substrate. Both electric and magnetic responses are introduced to realize desired abrupt phase change and high-efficiency transmission for the secondary wavelets in the incident wavefront. Then, a substrate-integrated waveguide （SIW） fed patch antenna is combined with the lens as the primary feed to form a low-profile lens antenna system. The simulated and measured results coincide with each other, and demonstrate that the prototype realizes 8.8 dB-12.6 dB gain increment and low side-lobe levels over the bandwidth of 26.7 GHz-30.0 GHz. The novel design leads to a low-profile, light weight, and low-cost antenna solution in a wireless communication system.
基金Xingwen Hao's research was supported in part by National Natural Science Foundation of China (10571120 and 10971135)Shanghai Shuguang Project (06SG11)+1 种基金the Program for New Century Excellent Talents of Chinese Ministry of Education (NCET-07-0546) Doctorial Foundation of Weifang University (2011BS11)
文摘In this paper, we study the linear thermo-visco-elastic system in one-dimensional space variable. The mathematical model is a hyperbolic-parabolic partial differential system. The solutions of the system show some decay property due to the parabolicity. Based on detailed analysis on the Green function of the system, the pointwise estimates of the solutions are obtained, from which the generalized Huygens’ principle is shown.
文摘A quasi-optical dielectric lens used for W-band focal plane array passive imaging has been developed. The imaging system requires the lens to form beam spot with 3 dB width less than 35 mm at distance of 3500 mm. The powerful optical design software ZEMAX was utilized to design the contours of the lens, and numerical method based on ray tracing and Huygens’ Principle was processed to verify the design result. Measurement result shows that the 3 dB width of the beam spot formed by the lens is 34 mm at distance of 3460 mm, and the beam pattern on imaging plane are equally arranged and the intensity decreases only 0.55 dB while the object lateral deviation increases to 300 mm.
文摘对线性双曲型偏微分算子P(u)=utt+2b0(t)ut+c0(t)u-△u-2sum from i=1 to nbi(x)uxi-c(x)u,给出Hadamard基本解按测地距离展开的系数Ek(t,x;s,y)(k=0,1,2,…)与P(u)的系数较直接的关系,从而以E(n-1)(？)(t,x;s,y)为Huygens算子的等价条件,解析了Veselov和Berest给出的一类Huygens算子与Stellmacher算子的关系.
