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Volumn 55, Issue 6 I, 2007, Pages 1554-1563

Scattering properties of one-dimensional aperiodically-ordered strip arrays based on two-symbol substitutional sequences

Author keywords

Aperiodic order; Quasicrystals; Scattering; Substitutional sequences

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL GEOMETRY; ELECTROMAGNETIC WAVE SCATTERING; HARMONIC ANALYSIS; NUMBER THEORY; PERIODIC STRUCTURES; QUASICRYSTALS;

EID: 34250874563     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2007.897228     Document Type: Article
Times cited : (4)

References (45)
  • 3
    • 0013431406 scopus 로고    scopus 로고
    • A guide to mathematical quasicrystals
    • M. Baake, J.-B. Suck, M. Schreiber, and P. Häussler, Eds, Berlin, Germany: Springer
    • M. Baake, J.-B. Suck, M. Schreiber, and P. Häussler, Eds., "A guide to mathematical quasicrystals," in Quasicrystals: An Introduction to Structure, Physical Properties, and Applications. Berlin, Germany: Springer, 2002, pp. 17-48.
    • (2002) Quasicrystals: An Introduction to Structure, Physical Properties, and Applications , pp. 17-48
  • 4
    • 33751141500 scopus 로고
    • Metallic phase with long-range orientational order and no translation symmetry
    • Nov
    • D. Shechtman, I. Blech, D. Gratias, and J. W. Cahn, "Metallic phase with long-range orientational order and no translation symmetry," Phys. Rev. Lett., vol. 53, no. 20, pp. 1951-1953, Nov. 1984.
    • (1984) Phys. Rev. Lett , vol.53 , Issue.20 , pp. 1951-1953
    • Shechtman, D.1    Blech, I.2    Gratias, D.3    Cahn, J.W.4
  • 5
    • 0000072605 scopus 로고
    • Quasicrystals: A new class of ordered structures
    • Dec
    • D. Levine and P. J. Steinhardt, "Quasicrystals: A new class of ordered structures," Phys. Rev. Lett., vol. 53, no. 26, pp. 2477-2480, Dec. 1984.
    • (1984) Phys. Rev. Lett , vol.53 , Issue.26 , pp. 2477-2480
    • Levine, D.1    Steinhardt, P.J.2
  • 6
    • 3042974793 scopus 로고
    • Electromagnetic wave propagation in quasiperiodically stratified media
    • Feb
    • D. Würtz, T. Schneider, and M. P. Soerensen, "Electromagnetic wave propagation in quasiperiodically stratified media," Physica A, vol. 148, no. 1-2, pp. 343-355, Feb. 1988.
    • (1988) Physica A , vol.148 , Issue.1-2 , pp. 343-355
    • Würtz, D.1    Schneider, T.2    Soerensen, M.P.3
  • 7
    • 0000286874 scopus 로고    scopus 로고
    • Photonic band gaps in two dimensional photonic quasicrystals
    • Feb
    • Y. S. Chan, C. T. Chan, and Z. Y. Liu, "Photonic band gaps in two dimensional photonic quasicrystals," Phys. Rev. Lett., vol. 80, no. 5, pp. 956-959, Feb. 1998.
    • (1998) Phys. Rev. Lett , vol.80 , Issue.5 , pp. 956-959
    • Chan, Y.S.1    Chan, C.T.2    Liu, Z.Y.3
  • 8
    • 0001391841 scopus 로고    scopus 로고
    • Optical localization in quasi-periodic multilayers
    • July
    • M. S. Vasconcelos, E. L. Albuquerque, and A. M. Mariz, "Optical localization in quasi-periodic multilayers," J. Phys.: Condens. Matter, vol. 10, no. 26, pp. 5839-5849, July 1998.
    • (1998) J. Phys.: Condens. Matter , vol.10 , Issue.26 , pp. 5839-5849
    • Vasconcelos, M.S.1    Albuquerque, E.L.2    Mariz, A.M.3
  • 9
    • 0032494920 scopus 로고    scopus 로고
    • Optical engineering with Fibonacci dielectric multilayers
    • Dec
    • E. Maciá, "Optical engineering with Fibonacci dielectric multilayers," Appl. Phys. Lett., vol. 73, no. 23, pp. 3330-3332, Dec. 1998.
    • (1998) Appl. Phys. Lett , vol.73 , Issue.23 , pp. 3330-3332
    • Maciá, E.1
  • 10
    • 0001285244 scopus 로고    scopus 로고
    • Band gap and wave guiding effect in a quasiperiodic photonic crystal
    • Sept
    • C. Jin, B. Cheng, B. Man, Z. Li, D. Zhang, S. Ban, and D. Sun, "Band gap and wave guiding effect in a quasiperiodic photonic crystal," Appl. Phys. Lett., vol. 75, no. 13, pp. 1848-1850, Sept. 1999.
    • (1999) Appl. Phys. Lett , vol.75 , Issue.13 , pp. 1848-1850
    • Jin, C.1    Cheng, B.2    Man, B.3    Li, Z.4    Zhang, D.5    Ban, S.6    Sun, D.7
  • 11
    • 0000415595 scopus 로고    scopus 로고
    • Two-dimensional dodecagonal and decagonal quasiperiodic photonic crystals in the microwave region
    • Apr
    • C. Jin, B. Cheng, B. Man, Z. Li, and D. Zhang, "Two-dimensional dodecagonal and decagonal quasiperiodic photonic crystals in the microwave region," Phys. Rev. B, vol. 61, no. 16, pp. 10762-10767, Apr. 2000.
    • (2000) Phys. Rev. B , vol.61 , Issue.16 , pp. 10762-10767
    • Jin, C.1    Cheng, B.2    Man, B.3    Li, Z.4    Zhang, D.5
  • 12
    • 0034666803 scopus 로고    scopus 로고
    • Two-dimensional Penrose-tiled photonic quasicrystals: Diffraction of light and fractal density of modes
    • Nov
    • M. A. Kaliteevski, S. Brand, R. A. Abram, T. F. Krauss, R. M. De La Rue, and P. Millar, "Two-dimensional Penrose-tiled photonic quasicrystals: Diffraction of light and fractal density of modes," J. Mod. Opt., vol. 47, no. 11, pp. 1771-1778, Nov. 2000.
    • (2000) J. Mod. Opt , vol.47 , Issue.11 , pp. 1771-1778
    • Kaliteevski, M.A.1    Brand, S.2    Abram, R.A.3    Krauss, T.F.4    De La Rue, R.M.5    Millar, P.6
  • 13
    • 0035104571 scopus 로고    scopus 로고
    • Absolute photonic band gaps in 12-fold symmetric photonic quasicrystals
    • Feb
    • X. Zhang, Z.-Q. Zhang, and C. T. Chan, "Absolute photonic band gaps in 12-fold symmetric photonic quasicrystals," Phys. Rev. B, vol. 63, no. 8, Feb. 2001, 081105(R).
    • (2001) Phys. Rev. B , vol.63 , Issue.8
    • Zhang, X.1    Zhang, Z.-Q.2    Chan, C.T.3
  • 14
    • 0034884828 scopus 로고    scopus 로고
    • Photonic band-gap effect, localization, and waveguiding in the two-dimensional Penrose lattice
    • Apr
    • M. Bayndir, E. Cubukcu, I. Bulu, and E. Ozbay, "Photonic band-gap effect, localization, and waveguiding in the two-dimensional Penrose lattice," Phys. Rev. B, vol. 63, no. 16, Apr. 2001, 161104(R).
    • (2001) Phys. Rev. B , vol.63 , Issue.16
    • Bayndir, M.1    Cubukcu, E.2    Bulu, I.3    Ozbay, E.4
  • 15
    • 0036977885 scopus 로고    scopus 로고
    • Isotropic photonic band gap and anisotropic structures in transmission spectra of two-dimensional fivefold and eightfold symmetric quasiperiodic photonic crystals
    • Dec
    • M. Hase, H. Miyazaki, M. Egashira, N. Shinya, K. M. Kojima, and S. Uchida, "Isotropic photonic band gap and anisotropic structures in transmission spectra of two-dimensional fivefold and eightfold symmetric quasiperiodic photonic crystals," Phys. Rev. B, vol. 66, no. 21, Dec. 2002, 214205.
    • (2002) Phys. Rev. B , vol.66 , Issue.21 , pp. 214205
    • Hase, M.1    Miyazaki, H.2    Egashira, M.3    Shinya, N.4    Kojima, K.M.5    Uchida, S.6
  • 16
    • 0036165081 scopus 로고    scopus 로고
    • Photonic bandgaps in two-dimensional short-range periodic structures
    • Jan
    • Z. Ouyang, C. Jin, D. Zhang, B. Cheng, X. Meng, G. Yang, and J. Li, "Photonic bandgaps in two-dimensional short-range periodic structures," J. Opt. A: Pure Appl. Opt., vol. 4, no. 1, pp. 23-28, Jan. 2002.
    • (2002) J. Opt. A: Pure Appl. Opt , vol.4 , Issue.1 , pp. 23-28
    • Ouyang, Z.1    Jin, C.2    Zhang, D.3    Cheng, B.4    Meng, X.5    Yang, G.6    Li, J.7
  • 17
    • 27144520890 scopus 로고    scopus 로고
    • Bandgap formation and multiple scattering in photonic quasicrystals with a Penrose-type lattice
    • May
    • A. Della Villa, S. Enoch, G. Tayeb, V. Pierro, V. Galdi, and F. Capolino, "Bandgap formation and multiple scattering in photonic quasicrystals with a Penrose-type lattice," Phys. Rev. Lett., vol. 94, no. 18, May 2005, 183903.
    • (2005) Phys. Rev. Lett , vol.94 , Issue.18 , pp. 183903
    • Della Villa, A.1    Enoch, S.2    Tayeb, G.3    Pierro, V.4    Galdi, V.5    Capolino, F.6
  • 19
    • 33750372624 scopus 로고    scopus 로고
    • Localized modes in photonic quasicrystals with Penrose-type lattice
    • Oct
    • A. Della Villa, S. Enoch, G. Tayeb, F. Capolino, V. Pierro, and V. Galdi, "Localized modes in photonic quasicrystals with Penrose-type lattice," Optics Express, vol. 14, no. 21, pp. 10021-10027, Oct. 2006.
    • (2006) Optics Express , vol.14 , Issue.21 , pp. 10021-10027
    • Della Villa, A.1    Enoch, S.2    Tayeb, G.3    Capolino, F.4    Pierro, V.5    Galdi, V.6
  • 20
    • 13944255786 scopus 로고    scopus 로고
    • Radiation properties of planar antenna arrays based on certain categories of aperiodic tilings
    • Feb
    • V. Pierro, V. Galdi, G. Castaldi, I. M. Pinto, and L. B. Felsen, "Radiation properties of planar antenna arrays based on certain categories of aperiodic tilings," IEEE Trans. Antennas Propag., vol. 53, no. 2, pp. 635-644, Feb. 2005.
    • (2005) IEEE Trans. Antennas Propag , vol.53 , Issue.2 , pp. 635-644
    • Pierro, V.1    Galdi, V.2    Castaldi, G.3    Pinto, I.M.4    Felsen, L.B.5
  • 21
    • 22444448286 scopus 로고    scopus 로고
    • Parameterizing quasiperiodicity: Generalized Poisson summation and its application to modified-Fibonacci antenna arrays
    • June
    • V. Galdi, G. Castaldi, V. Pierro, I. M. Pinto, and L. B. Felsen, "Parameterizing quasiperiodicity: Generalized Poisson summation and its application to modified-Fibonacci antenna arrays," IEEE Trans. Antennas Propag., vol. 53, no. 6, pp. 2044-2053, June 2005.
    • (2005) IEEE Trans. Antennas Propag , vol.53 , Issue.6 , pp. 2044-2053
    • Galdi, V.1    Castaldi, G.2    Pierro, V.3    Pinto, I.M.4    Felsen, L.B.5
  • 22
    • 28644444290 scopus 로고    scopus 로고
    • Radiation properties of one-dimensional random-like antenna arrays based on Rudin-Shapiro sequences
    • Nov
    • V. Galdi, V. Pierro, G. Castaldi, I. M. Pinto, and L. B. Felsen, "Radiation properties of one-dimensional random-like antenna arrays based on Rudin-Shapiro sequences," IEEE Trans. Antennas Propag., vol. 53, no. 11, pp. 3568-3575, Nov. 2005.
    • (2005) IEEE Trans. Antennas Propag , vol.53 , Issue.11 , pp. 3568-3575
    • Galdi, V.1    Pierro, V.2    Castaldi, G.3    Pinto, I.M.4    Felsen, L.B.5
  • 23
    • 0010830891 scopus 로고
    • Which distributions of matter diffract? An initial investigation
    • Colloque
    • E. Bombieri and J. E. Taylor, "Which distributions of matter diffract? An initial investigation," J. Physique France, vol. 47, pp. 19-28, 1986, Colloque C3.
    • (1986) J. Physique France , vol.47 , Issue.C3 , pp. 19-28
    • Bombieri, E.1    Taylor, J.E.2
  • 24
    • 0000503623 scopus 로고
    • Quasicrystals, tilings, and algebraic number theory: Some preliminary connections
    • E. Bombieri and J. E. Taylor, "Quasicrystals, tilings, and algebraic number theory: Some preliminary connections," Contemporary Mathematics, vol. 64, pp. 241-264, 1987.
    • (1987) Contemporary Mathematics , vol.64 , pp. 241-264
    • Bombieri, E.1    Taylor, J.E.2
  • 25
    • 0000773407 scopus 로고
    • Scaling properties of a structure intermediate between quasiperiodic and random
    • June
    • S. Aubry, C. Godrèche, and J. M. Luck, "Scaling properties of a structure intermediate between quasiperiodic and random," J. Stat. Phys., vol. 51, no. 5/6, pp. 1033-1075, June 1988.
    • (1988) J. Stat. Phys , vol.51 , Issue.5-6 , pp. 1033-1075
    • Aubry, S.1    Godrèche, C.2    Luck, J.M.3
  • 26
    • 0000215231 scopus 로고
    • Cantor spectra and scaling of gap widths in deterministic aperiodic systems
    • Mar
    • J. M. Luck, "Cantor spectra and scaling of gap widths in deterministic aperiodic systems," Phys. Rev. B, vol. 39, no. 9, pp. 5834-5849, Mar. 1989.
    • (1989) Phys. Rev. B , vol.39 , Issue.9 , pp. 5834-5849
    • Luck, J.M.1
  • 27
    • 36149030569 scopus 로고
    • Multifractal analysis in reciprocal space and the nature of the fourier transform of self-similar structures
    • Aug
    • C. Godrèche and J. M. Luck, "Multifractal analysis in reciprocal space and the nature of the fourier transform of self-similar structures," J. Phys. A: Math. Gen., vol. 23, no. 16, pp. 3769-3797, Aug. 1990.
    • (1990) J. Phys. A: Math. Gen , vol.23 , Issue.16 , pp. 3769-3797
    • Godrèche, C.1    Luck, J.M.2
  • 28
    • 0040358499 scopus 로고
    • New class of one-dimensional quasicrystals
    • Mar
    • M. Kolář, "New class of one-dimensional quasicrystals," Phys. Rev. B, vol. 47, no. 9, pp. 5489-5492, Mar. 1993.
    • (1993) Phys. Rev. B , vol.47 , Issue.9 , pp. 5489-5492
    • Kolář, M.1
  • 29
    • 0007882984 scopus 로고
    • Structure factor of 1D systems (superlattices) basedon two-letter substitution rules: I. δ (Bragg) peaks
    • Dec
    • M. Kolář, B. Iochum, and L. Raymond, "Structure factor of 1D systems (superlattices) basedon two-letter substitution rules: I. δ (Bragg) peaks," J. Phys. A: Math. Gen., vol. 26, no. 24, pp. 7343-7366, Dec. 1993.
    • (1993) J. Phys. A: Math. Gen , vol.26 , Issue.24 , pp. 7343-7366
    • Kolář, M.1    Iochum, B.2    Raymond, L.3
  • 30
    • 0027578146 scopus 로고
    • Time-harmonic and transient scattering by finite periodic flat strip arrays: Hybrid (Ray)-(Floquet mode)-(MOM) algorithm and its GTD interpretation
    • Apr
    • L. Carin and L. B. Felsen, "Time-harmonic and transient scattering by finite periodic flat strip arrays: Hybrid (Ray)-(Floquet mode)-(MOM) algorithm and its GTD interpretation," IEEE Trans. Antennas Propag. vol. 41, no. 4, pp. 412-421, Apr. 1993.
    • (1993) IEEE Trans. Antennas Propag , vol.41 , Issue.4 , pp. 412-421
    • Carin, L.1    Felsen, L.B.2
  • 31
    • 0028406834 scopus 로고
    • Diffraction theory of frequency- and time-domain scattering by weakly aperiodic truncated thin-wire gratings
    • Apr
    • L. B. Felsen and L. Carin, "Diffraction theory of frequency- and time-domain scattering by weakly aperiodic truncated thin-wire gratings," J. Opt. Soc. Amer. A, vol. 11, no. 4, pp. 1291-1306, Apr. 1994.
    • (1994) J. Opt. Soc. Amer. A , vol.11 , Issue.4 , pp. 1291-1306
    • Felsen, L.B.1    Carin, L.2
  • 32
    • 0028444570 scopus 로고
    • Wave-oriented data processing for frequency-and time-domain scattering by nonuniform arrays
    • Jun
    • L. Carin and L. B. Felsen, "Wave-oriented data processing for frequency-and time-domain scattering by nonuniform arrays," IEEE Antennas Propag. Mag., vol. 36, no. 3, pp. 29-43, Jun. 1994.
    • (1994) IEEE Antennas Propag. Mag , vol.36 , Issue.3 , pp. 29-43
    • Carin, L.1    Felsen, L.B.2
  • 33
    • 0028530753 scopus 로고
    • Frequency-domain scattering by nonuniform truncated arrays: Wave-oriented data processing for inversion and imaging
    • Oct
    • M. McClure, D. Kralj, T.-T. Hsu, L. Carin, and L. B. Felsen, "Frequency-domain scattering by nonuniform truncated arrays: Wave-oriented data processing for inversion and imaging," J. Opt. Soc. Amer. A, vol. 11, no. 10, pp. 2675-2684, Oct. 1994.
    • (1994) J. Opt. Soc. Amer. A , vol.11 , Issue.10 , pp. 2675-2684
    • McClure, M.1    Kralj, D.2    Hsu, T.-T.3    Carin, L.4    Felsen, L.B.5
  • 34
    • 0030109599 scopus 로고    scopus 로고
    • Ray theory for scattering by two-dimensional quasiperiodic plane finite arrays
    • Mar
    • L. B. Felsen and E. Gago-Ribas, "Ray theory for scattering by two-dimensional quasiperiodic plane finite arrays," IEEE Trans. Antennas Propag., vol. 44, no. 3, pp. 375-382, Mar. 1996.
    • (1996) IEEE Trans. Antennas Propag , vol.44 , Issue.3 , pp. 375-382
    • Felsen, L.B.1    Gago-Ribas, E.2
  • 35
    • 0005866073 scopus 로고
    • On physical optics for calculating scattering from coated bodies
    • Aug
    • J. Baldauf, S. W. Lee, H. Ling, and R. Chou, "On physical optics for calculating scattering from coated bodies," J. Electromagn. Waves Appl., vol. 3, no. 8, pp. 725-746, Aug. 1989.
    • (1989) J. Electromagn. Waves Appl , vol.3 , Issue.8 , pp. 725-746
    • Baldauf, J.1    Lee, S.W.2    Ling, H.3    Chou, R.4
  • 36
    • 0033809458 scopus 로고    scopus 로고
    • Surprises in diffuse scattering
    • Aug
    • M. Höffe and M. Baake, "Surprises in diffuse scattering," Zeitschrift für Kristallographie, vol. 215, no. 8, pp. 441-444, Aug. 2000.
    • (2000) Zeitschrift für Kristallographie , vol.215 , Issue.8 , pp. 441-444
    • Höffe, M.1    Baake, M.2
  • 37
    • 85072827016 scopus 로고
    • Substitution Dynamical Systems - Spectral Analysis
    • Berlin: Springer
    • M. Queffélec, "Substitution Dynamical Systems - Spectral Analysis," in Lecture Notes in Mathematics. Berlin: Springer, 1987, vol. 1294.
    • (1987) Lecture Notes in Mathematics , vol.1294
    • Queffélec, M.1
  • 38
    • 0344862186 scopus 로고    scopus 로고
    • Substitutions in Dynamics, Arithmetics, and Combinatorics
    • N. P. Fogg, V. Berthé, S. Ferenczi, C. Mauduit, and A. Siegel, Eds, Berlin: Springer
    • N. P. Fogg, V. Berthé, S. Ferenczi, C. Mauduit, and A. Siegel, Eds., "Substitutions in Dynamics, Arithmetics, and Combinatorics," in Lecture Notes in Mathematics. Berlin: Springer, 2002, vol. 1794.
    • (2002) Lecture Notes in Mathematics , vol.1794
  • 39
    • 0000790243 scopus 로고
    • Structure and electronic properties of Thue-Morse lattices
    • Mar
    • Z. Cheng, R. Savit, and R. Merlin, "Structure and electronic properties of Thue-Morse lattices," Phys. Rev. B, vol. 37, no. 9, pp. 4375-4382, Mar. 1988.
    • (1988) Phys. Rev. B , vol.37 , Issue.9 , pp. 4375-4382
    • Cheng, Z.1    Savit, R.2    Merlin, R.3
  • 40
    • 33744662321 scopus 로고
    • Multifractal properties of the structure factor of a class of substitutional sequences
    • Nov
    • Z. Cheng and R. Savit, "Multifractal properties of the structure factor of a class of substitutional sequences," Phys. Rev. A, vol. 44, no. 10, pp. 6379-6385, Nov. 1991.
    • (1991) Phys. Rev. A , vol.44 , Issue.10 , pp. 6379-6385
    • Cheng, Z.1    Savit, R.2
  • 41
    • 0040358498 scopus 로고    scopus 로고
    • A study of the structure factor of Thue-Morse and period-doubling chains by wavelet analysis
    • July
    • E. Liviotti, "A study of the structure factor of Thue-Morse and period-doubling chains by wavelet analysis," J. Phys.: Condens. Matter, vol. 8, no. 27, pp. 5007-5015, July 1996.
    • (1996) J. Phys.: Condens. Matter , vol.8 , Issue.27 , pp. 5007-5015
    • Liviotti, E.1
  • 42
    • 0032512526 scopus 로고    scopus 로고
    • Minimal distances in quasicrystals
    • Feb
    • Z. Masáková, J. Patera, and E. Pelantová, "Minimal distances in quasicrystals," J. Phys. A: Math. Gen., vol. 31, no. 6, pp. 1539-1552, Feb. 1998.
    • (1998) J. Phys. A: Math. Gen , vol.31 , Issue.6 , pp. 1539-1552
    • Masáková, Z.1    Patera, J.2    Pelantová, E.3
  • 44
    • 0027549819 scopus 로고
    • New simulated corrugated scattering surface giving wideband characteristics
    • Feb
    • D. S. Stephen, T. Mathew, K. A. Jose, C. K. Aanandan, P. Mohanan, and K. G. Nair, "New simulated corrugated scattering surface giving wideband characteristics," Electron. Lett., vol. 29, no. 4, pp. 329-331, Feb. 1993.
    • (1993) Electron. Lett , vol.29 , Issue.4 , pp. 329-331
    • Stephen, D.S.1    Mathew, T.2    Jose, K.A.3    Aanandan, C.K.4    Mohanan, P.5    Nair, K.G.6
  • 45
    • 34250821266 scopus 로고    scopus 로고
    • J. R. Swandic, Bandwidth limits and other considerations for monostatic RCS reduction by virtual shaping, Naval Surface Warfare Center, Carderock Div., Bethesda, MD, Tech. Rep. A927224, Jan. 2004.
    • J. R. Swandic, "Bandwidth limits and other considerations for monostatic RCS reduction by virtual shaping," Naval Surface Warfare Center, Carderock Div., Bethesda, MD, Tech. Rep. A927224, Jan. 2004.


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