Topology optimization of microwave waveguide filters

We present a density based topology optimization approach for the design of metallic microwave insert filters. A two-phase optimization procedure is proposed in which we, starting from a uniform design, first optimize to obtain a set of spectral varying resonators followed by a band gap optimization for the desired filter characteristics. This is illustrated through numerical experiments and comparison to a standard band pass filter design. It is seen that the carefully optimized topologies can sharpen the filter characteristics and improve performance. Furthermore, the obtained designs share little resemblance to standard filter layouts and hence the proposed design method offers a new design tool in microwave engineering.

[1]  Ole Sigmund,et al.  Topology optimization of metallic devices for microwave applications , 2010 .

[2]  D. Baillargeat,et al.  Topology optimization of microwave filters including dielectric resonators , 2009, 2009 European Microwave Conference (EuMC).

[3]  Jakob S. Jensen,et al.  On maximal eigenfrequency separation in two-material structures: the 1D and 2D scalar cases , 2006 .

[4]  Ole Sigmund,et al.  A topology optimization method for design of negative permeability metamaterials , 2010 .

[5]  S. Yamasaki,et al.  Heaviside projection based topology optimization by a PDE-filtered scalar function , 2011 .

[6]  Patrick R. Amestoy,et al.  Multifrontal parallel distributed symmetric and unsymmetric solvers , 2000 .

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

[8]  K. Svanberg.  The method of moving asymptotes—a new method for structural optimization , 1987 .

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

[10]  C. Balanis.  Advanced Engineering Electromagnetics , 1989 .

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

[12]  B. Bourdin.  Filters in topology optimization , 2001 .

[13]  B. Lazarov,et al.  Parallel framework for topology optimization using the method of moving asymptotes , 2013 .

[14]  K. Svanberg,et al.  An alternative interpolation scheme for minimum compliance topology optimization , 2001 .

[15]  O. Sigmund,et al.  Filters in topology optimization based on Helmholtz‐type differential equations , 2011 .

[16]  Jakob Søndergaard Jensen,et al.  Topology optimization of dynamics problems with Padé approximants , 2007 .

[17]  Vipin Kumar,et al.  A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs , 1998, SIAM J. Sci. Comput..

[18]  Anders Klarbring,et al.  An Introduction to Structural Optimization , 2008 .

[19]  Ole Sigmund,et al.  Topology optimization for transient response of photonic crystal structures , 2010 .

[20]  Jin-Kyu Byun,et al.  Design of Dielectric Waveguide Filters Using Topology Optimization Technique , 2006, IEEE Transactions on Magnetics.

[21]  Ole Sigmund,et al.  Systematic design of phononic band–gap materials and structures by topology optimization , 2003, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[22]  Edward J. Rothwell,et al.  Waveguide band‐stop filter design using optimized pixelated inserts , 2013 .

[23]  Dominique Baillargeat,et al.  Topology gradient optimization in 2‐D and 3‐D for the design of microwave components , 2008 .

[24]  Niels Aage,et al.  Topology optimization of radio frequency and microwave structures , 2011 .

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

[26]  Carretera de Valencia,et al.  The finite element method in electromagnetics , 2000 .

[27]  Jakob S. Jensen,et al.  Topology optimization of photonic crystal structures: a high-bandwidth low-loss T-junction waveguide , 2005 .

[28]  S. Verdeyme,et al.  Topology optimization applied to the design of a dual-mode filter including a dielectric resonator , 2008, 2008 IEEE MTT-S International Microwave Symposium Digest.

[29]  D. Baillargeat,et al.  Design of Microwave Components using Topology Gradient Optimization , 2006, 2006 European Microwave Conference.

[30]  Jin-Kyu Byun,et al.  Topology Optimization of Dielectric Resonator in 3-D Waveguide Structure Considering Higher Mode Incidence , 2012, IEEE Transactions on Magnetics.

[31]  D. Baillargeat,et al.  Advanced Design and Manufacturing of Microwave Components Based on Shape Optimization and Ceramic Stereolithography Process , 2008, 2008 IEEE MTT-S International Microwave Workshop Series on Art of Miniaturizing RF and Microwave Passive Components.

[32]  Ole Sigmund,et al.  Large scale three-dimensional topology optimisation of heat sinks cooled by natural convection , 2015, ArXiv.

[33]  D. Pozar.  Microwave Engineering , 1990 .

[34]  E. Hassan,et al.  Topology optimization of UWB monopole antennas , 2013, 2013 7th European Conference on Antennas and Propagation (EuCAP).

[35]  Ole Sigmund,et al.  On projection methods, convergence and robust formulations in topology optimization , 2011, Structural and Multidisciplinary Optimization.

[36]  Eddie Wadbro,et al.  Topology Optimization of Planar Antennas for Wideband Near-Field Coupling , 2015, IEEE Transactions on Antennas and Propagation.