Topology optimization of pulse shaping filters using the Hilbert transform envelope extraction

Structural and Multidisciplinary Optimization

Volumn 44, Issue 3, 2011, Pages 409-419

  Lazarov, Boyan Stefanov ^a   Matzen, René ^a   Elesin, Yuriy ^a  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

Envelope extraction; Hilbert transform; Topology optimization

Indexed keywords

ENVELOPE EXTRACTION; HILBERT TRANSFORM; NONLINEAR STRUCTURE; OBJECTIVE FUNCTIONS; OPTIMIZATION METHODOLOGY; PULSE ENVELOPES; PULSE SHAPING FILTERS; PULSE SPLITTING; TIME DOMAIN;

OPTIMIZATION; PULSE SHAPING CIRCUITS; TOPOLOGY;

MATHEMATICAL TRANSFORMATIONS;

EID: 80054046482     PISSN: 1615147X     EISSN: 16151488     Source Type: Journal    
DOI: 10.1007/s00158-011-0642-y     Document Type: Article

References (32)

1. DL Arenberg 1948 Ultrasonic solid delay lines J Acoust Soc Am 20 1 1 26 10.1121/1.1906343
2. T Baba 2008 Slow light in photonic crystals Nature Photonics 2 8 465 473 10.1038/nphoton.2008.146
3. Bendsøe MP, Sigmund O (2004) Topology optimization-theory, methods and applications. Springer Verlag, Berlin
4. Brillouin L (1953) Wave propagation in periodic structures. Dover
5. T Bruns D Tortorelli 2001 Topology optimization of non-linear elastic structures and compliant mechanisms Comput Methods Appl Mech Eng 190 26-27 3443 3459 1014.74057 10.1016/S0045-7825(00)00278-4 (Pubitemid 32379192)
6. Cohen GC (2002) Higher order numerical methods for transient wave equations. Springer-Verlag, Berlin
7. Cohen L (1995) Time-frequency analysis. Prentice-Hall, New Jersey
8. J Dahl JS Jensen O Sigmund 2008 Topology optimization for transient wave propagation problems in one dimension design of filters and pulse modulators Struct Multidisc Optim 36 6 585 595 2448862 10.1007/s00158-007-0192-5
9. J Jensen O Sigmund 2004 Systematic design of photonic crystal structures using topology optimization: low-loss waveguide bends Appl Phys Lett 84 12 2022 2024 10.1063/1.1688450
10. J Jensen O Sigmund 2011 Topology optimization for nanophotonics Laser Photonics Rev 5 2 308 321 10.1002/lpor.201000014
11. JS Jensen 2011 Topology optimization of nonlinear optical devices Struct Multidisc Optim. 10.1007/s00158-011-0640-0
12. JS Jensen O Sigmund 2005 Topology optimization of photonic crystal structures: a high-bandwidth low-loss t-junction waveguide J Opt Soc Am B Opt Phys 22 6 1191 1198 10.1364/JOSAB.22.001191 (Pubitemid 40889883)
13. Jin J, Riley DJ (2007) Finite element analysis of antennas and arrays. John Wiley & Sons Inc
14. Joannopoulos J, Johnson S, Winn J, Meade R (2008) Photonic crystals: molding the flow of light. Princeton University Press, Princeton
15. BS Kang GJ Park JS Arora 2006 A review of optimization of structures subjected to transient loads Struct Multidisc Optim 31 2 81 95 2199544 10.1007/s00158-005-0575-4 (Pubitemid 43130320)
16. Kashyap R (2010) Fiber bragg gratings. In: Fiber Bragg gratings, 2nd edn. Academic Press, Boston
17. MS Kushwaha P Halevi L Dobrzynski B Djafari-Rouhani 1993 Acoustic band structure of periodic elastic composites Phys Rev Lett 71 13 2022 2025 10.1103/PhysRevLett.71.2022
18. G Lenz BJ Eggleton CK Madsen RE Slusher 2001 Optical delay lines based on optical filters IEEE J Quantum Electron 37 4 525 532 10.1109/3.914401 (Pubitemid 32400339)
19. R Matzen JS Jensen O Sigmund 2010 Topology optimization for transient response of photonic crystal structures J Opt Soc Am B 27 10 2040 2050 10.1364/JOSAB.27.002040
20. D Mead 1975 Wave propagation and natural modes in periodic systems: I. mono-coupled systems J Sound Vib 40 1 1 18 0313.73023 10.1016/S0022-460X(75) 80227-6
21. T Nomura K Sato K Taguchi T Kashiwa S Nishiwaki 2007 Structural topology optimization for the design of broadband dielectric resonator antennas using the finite difference time domain technique Int J Numer Methods Eng 71 11 1261 1296 1194.78073 10.1002/nme.1974 (Pubitemid 47386870)
22. HK Peng G Meng FC Li 2009 Modeling of wave propagation in plate structures using three-dimensional spectral element method for damage detection J Sound Vib 320 4-5 942 954 10.1016/j.jsv.2008.09.005
23. L Reindl CCW Ruppel S Berek U Knauer M Vossiek P Heide L Oreans 2001 Design, fabrication, and application of precise saw delay lines used in an fmcw radar system IEEE Trans Microwave Theor Tech 49 4 787 794 10.1109/22.915465 (Pubitemid 32426380)
24. O Sigmund 2007 Morphology-based black and white filters for topology optimization Structural and Multidisciplinary Optimization 33 4-5 401 424 10.1007/s00158-006-0087-x (Pubitemid 46362319)
25. O Sigmund 2009 Manufacturing tolerant topology optimization Acta Mech Sin 25 2 227 239 10.1007/s10409-009-0240-z
26. O Sigmund J Jensen 2003 Systematic design of phononic band-gap materials and structures by topology optimization Philos Trans Royal Soc Lond Ser A Math Phys Eng Sci 361 1001 1019 1995446 1067.74053 10.1098/rsta.2003.1177 (Pubitemid 37260952)
27. K Svanberg 1987 The method of moving asymptotes-a new method for structural optimization Int J Numer Methods Eng 24 359 373 875307 0602.73091 10.1002/nme.1620240207 (Pubitemid 17525942)
28. DA Tortorelli P Michaleris 1994 Design sensitivity analysis: overview and review Inverse Probl Eng 1 1 71 105 10.1080/174159794088027573
29. F Wang B Lazarov O Sigmund 2011 On projection methods, convergence and robust formulations in topology optimization Struct Multidisc Optim 10.1007/s00158-010-0602-y
30. LR Yang AV Lavrinenko JM Hvam O Sigmund 2009 Design of one-dimensional optical pulse-shaping filters by time-domain topology optimization Appl Phys Lett 95 26 261,101 10.1063/1.3278595
31. B Yue MN Guddati 2005 Dispersion-reducing finite elements for transient acoustics J Acoust Soc Am 118 4 2132 2141 10.1121/1.2011149 (Pubitemid 41463925)
32. Zienkiewicz OC, Taylor RL, Zhu J (2005) The finite element method. Elsevier