Antenna Radiation Characteristics Optimization by a Hybrid Topological Method

A hybrid topology optimization method that integrates material distribution and level set methods (LSMs) is proposed. The topology of the antenna is optimized first by the material distribution method, and then, the derived structure, which has a zig-zag boundary, is further optimized by the LSM. By adopting this hybrid strategy, the powerful topology-searching ability of the material distribution method and the advantageous feature of producing structures with smooth and low sensitivity boundary of the LSM are fully exploited. To optimize antenna’s radiation characteristics, sensitivity analysis of the power density of the far-field is formulated. To demonstrate the capability of this hybrid topology optimization method and verify the sensitivity analysis formulation, three microstrip antennas with different desired polarizations, beam directions, and bandwidths are designed and tested. The measured results show that all the antennas not only achieve low reflection in the prescribed frequency band, but also give good performances in gain and polarization in the desired beam directions.

[1]  Ole Sigmund,et al.  Topology Optimization of Sub-Wavelength Antennas , 2011, IEEE Transactions on Antennas and Propagation.

[2]  John W. Bandler,et al.  Electromagnetic optimisation using sensitivity analysis in the frequency domain , 2007 .

[3]  Krister Svanberg,et al.  A Class of Globally Convergent Optimization Methods Based on Conservative Convex Separable Approximations , 2002, SIAM J. Optim..

[4]  J. Petersson,et al.  Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima , 1998 .

[5]  Eddie Wadbro,et al.  Topology Optimization of Metallic Antennas , 2014, IEEE Transactions on Antennas and Propagation.

[6]  R. Mäkinen,et al.  Gradient-based shape optimisation of ultra-wideband antennas parameterised using splines , 2010 .

[7]  Jian Wang,et al.  A hybrid topology optimization method based on sensitivity analysis , 2016, 2016 IEEE MTT-S International Microwave Symposium (IMS).

[8]  Kyung K. Choi,et al.  Structural Sensitivity Analysis and Optimization 1: Linear Systems , 2005 .

[9]  Wei Li,et al.  Level-set based topology optimization for electromagnetic dipole antenna design , 2010, J. Comput. Phys..

[10]  M. Bendsøe,et al.  Topology Optimization: "Theory, Methods, And Applications" , 2011 .

[11]  Mohamed H. Bakr,et al.  Self-adjoint S-parameter sensitivities for lossless homogeneous TLM problems , 2005 .

[12]  Mohamed H. Bakr,et al.  Antenna design exploiting adjoint sensitivity-based geometry evolution , 2013 .

[13]  Hajime Igarashi,et al.  Complex Adjoint Variable Method for Finite-Element Analysis of Eddy Current Problems , 2010, IEEE Transactions on Magnetics.

[14]  Qi Wang,et al.  A topology optimization method for design of small GPR antennas , 2014 .

[15]  Anders Clausen,et al.  Efficient topology optimization in MATLAB using 88 lines of code , 2011 .

[16]  Kim Fung Man,et al.  Jumping Genes Multiobjective Optimization Scheme for Planar Monopole Ultrawideband Antenna , 2008 .

[17]  Dong-Hun Kim,et al.  Optimal Design of a RFID Tag Antenna Based on Plane-Wave Incidence , 2012, IEEE Transactions on Magnetics.

[18]  Eddie Wadbro,et al.  Patch and ground plane design of microstrip antennas by material distribution topologly optimization , 2014 .

[19]  E. E. Altshuler,et al.  Wire-antenna designs using genetic algorithms , 1997 .

[20]  Singiresu S. Rao Engineering Optimization : Theory and Practice , 2010 .

[21]  Jon P. Webb,et al.  Design sensitivities for scattering-matrix calculation with tetrahedral edge elements , 2000 .

[22]  Tsuyoshi Nomura,et al.  Topology optimization method for microstrips using boundary condition representation and adjoint analysis , 2013, 2013 European Microwave Conference.

[23]  Y. Rahmat-Samii,et al.  Parallel particle swarm optimization and finite- difference time-domain (PSO/FDTD) algorithm for multiband and wide-band patch antenna designs , 2005, IEEE Transactions on Antennas and Propagation.

[24]  Jian-Ying Li,et al.  Optimizing Design of Antenna Using Differential Evolution , 2007, 2007 Asia-Pacific Microwave Conference.

[25]  Natalia K. Nikolova,et al.  Sensitivity analysis of the scattering parameters of microwave filters using the adjoint network method , 2006 .

[26]  S. Koziel,et al.  Low-cost design optimization of antennas using adjoint sensitivity , 2012, 2012 6th European Conference on Antennas and Propagation (EUCAP).

[27]  Yu Zhang,et al.  Wideband FDTD-Based Adjoint Sensitivity Analysis of Dispersive Electromagnetic Structures , 2014, IEEE Transactions on Microwave Theory and Techniques.

[28]  Yu Zhu,et al.  Multigrid Finite Element Methods for Electromagnetic Field Modeling , 2006 .