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Original Articles

Invited paper Wave reactance of thin planar strip gratings

Pages 187-230 | Received 11 Jul 1984, Accepted 10 Sep 1984, Published online: 06 Jul 2010

REFERENCES

  • ADONINA , A. I. , and SHESTOPALOV , V. P. , 1963 , Diffraction of electromagnetic waves obliquelyincident on a plane metallic grating with a dielectric layer . Soviet Phys. tech. Phys. , 8 , 479 – 486 .
  • AGRAWAL , V. D. , and IMBRIALE , W. A. , 1977 , Analysis of frequency selective surfaces printedon dielectric sheets . APS Symp. Digest , June , Palo Alto .
  • AGRAWAL , V. D. , and IMBRIALE , W. A. , 1979 , Design of a dichroic Cassegrain subreflector . I.E.E.E. Trans. Antenna Propag ., 27 , 466 – 473 ,
  • AMITAY , N. , and GALINDO , V. , 1968 , The analysis of circular waveguide phased array . BellSyst. tech. J. , pp. 1903 – 1932 .
  • AMITAY , N. , GALINDO , V. , and Wu , C. P. , 1972 , Phased Array Antennas ( New York WileyInterscience ).
  • ANDERSON , I. , 1975 , On the theory of self-resonant grids . Bell Syst. tech. J. , 54 , 1725 – 1731 .
  • ARCHER , M. J. , 1982 , Periodic multielement strip gratings . Electron. Lett. , 18 , 958 – 959 .
  • ARCHER , M. J. , 1983 , Inductive twin-strip gratings in incident TE waves . Electron. Lett. , 19 , 118 – 120 .
  • ARNAUD , J. A. , and PELOW , F. A. , 1975 , Resonant-grid quasi-optical diplexers . Bell Syst. tech.J. , 54 , 263 – 283 .
  • ASTRAKHAN , M. I. , and FERSMAN , G. A. , 1979 , Average boundary conditions and coefficientsof reflection of a double, dense array of thin, parallel metallic filaments . Radio Engngelectron. Phys. , 24 , 24 – 28 .
  • ASTRAKHAN , M. I. , ZOLOTUKINA , N. M. , and SEBYAKINA , G. A. , 1975 , The average boundaryconditions for metal grids with noncircular cross-section conductors . Radio Engngelectron. Phys. , 20 , 154 – 155 .
  • BALDWIN , G. , and HEINS , H. , 1954 , On scattering of a plane wave by an infinite plane grating . Mathematica scand. , 2 , 103 .
  • VAN DEN BERG , P. M. , 1971 , Diffraction theory of reflection gratings . Appl. Scient. Res. , 24 , 261 – 293 .
  • VAN DEN BERG , P. M , 1981 , Reflection by a grating Rayleigh methods . J. opt. Soc. Am. , 71 , 1224 – 1229 .
  • BERZ , F. , 1951 , Reflection and refraction at a set of parallel metallic plates . J. Instn elect.Engrs , Pt. 3 , 98 , 47 – 55 .
  • BOOKER , H. G. , 1947 , The elements of wave propagation using the impedance concept . J. Instn elect. Engrs , Pt. 3, 94 , 171 – 202 .
  • BOUWKAMP , C. J. , 1954 , Reports on Progress in Physics , Vol. 17 ( Institute of Physics ) , pp. 35 – 100 .
  • CARLSON , J. F. , and HEINS , A. E. , 1947 , The reflections of an electromagnetic plane wave by an infinite set of plates . Q. appl. Math. , 4 , 313 – 329 .
  • CHEN , C. C, 1970a , Transmission through a conducting screen perforated periodically with apertures . I.E.E.E. Trans, microw. Theory Tech. , 18 , 627 – 633 .
  • CHEN , C. C, 1970b , Scattering by a two-dimensional periodic array of conducting plates . I.E.E.E. Trans. Antenna Propag. , 18 , 660 – 665 .
  • CHEN , C. C, 1973 , Transmission through perforated flat plates of finite thickness . I.E.E.E.Trans, microw. Theory Tech. , 21 , 1 – 6 .
  • CHU , T. S. , GANS , M. J. , and LEGG , W. E. , 1975 , Quasi-optical polarization diplexing of microwaves . Bell Syst. tech. J. , 54 , 1665 – 1680 .
  • COHN , S. B. , 1949 , Analysis of the metal strip delay structure for microwave lenses . J. appl. Phys. , 20 , 257 – 262 .
  • COHN , S. B. , 1950 , Electrolytic tank measurements for microwave delay lens media . J. appl. Phys. , 21 , 674 – 680 .
  • COLLIN , R. E. , 1960 , Field Theory of Guided Waves ( McGraw-Hill ).
  • COPSON , E. T. , 1946 , An integral equation method of solving plane diffraction problems . Proc. R. Soc , London (A) , 186 , 100 – 118 .
  • CORRIHER , H. A. JR. , PYRON , B, O. , 1965 , A bibliography of articles on radar reflectivityand related subjects 1957–1964 . Proc. Inst, elect, electron. Engrs , 53 , 1024 – 1064 .
  • DANIELEWICZ , E. J. , and COLEMAN , P. D. , 1976 , Hybrid metal mesh-dielectric mirrors for optically pumped far infrared lenses . Appl. Opt. , 15 , 761 – 767 .
  • FEL'D , YA. N. , 1976 , The method of variation of constants applied to waveguide problems . Radio Engng electron. Phys. , 12 , 129 – 131 .
  • HAMDY , S. M. A. , 1982 , Frequency selective surfaces . Ph.D. thesis , University of Kent , Canterbury , U. K .
  • HAMDY , S. M. A. , and PARKER , E. A. , 1982a , Comparison of modal analysis and equivalent circuit representation of E-arm of the Jerusalem cross . Electron. Lett. , 18 , 94 – 95 .
  • HAMDY , S. M. A. , and PARKER , E. A. , 1982b , Current distribution on the elements of a square loop frequency selective surface . Electron. Lett. , 18 , 624 – 626 .
  • HAMDY , S. M. A. , and PARKER , E. A. , 1982c , Influence of lattice geometry on transmission of electromagnetic waves through arrays of crossed dipoles . Proc. Insin elect. Engrs , Pt. H , 129 , 7 – 10 .
  • HOLTUM , A. G. , LEHMAN , D. F. , and COLLINS , G. W. , 1973 , Dual surface dichroic subreflector for the Altair radar . 23rd Antenna Symp. on USAF Antenna Research and Development , University of Illinois .
  • HUGONIN , J. P. , PETIT , R. , and CADILHAC , M. , 1981 , On the use of plane wave expansions to describe the field diffracted by a grating . J. opt. Soc. Am. , 71 , 593 – 598 .
  • IGNATOWSKY , W. VON , 1914 , Zur theorie der gitten , Ann. Phys. , 44 , 369 .
  • IKUNO , H. and YASUURA , K. , 1973 , Improved point-matching method with applications to scattering from a periodic surface . I.E.E.E. Trans. Antenna Propag. , 21 , 657 – 662 .
  • JOLLEY , L. B. W, , 1961 , Summation of Series , second edition ( New York Dover ), pp. 126 – 127 .
  • JULL , E. V. , 1979 , Reflection circular polarizers . Electron. Lett. , 15 , 423 – 424 .
  • KALHOR. H. A. , 1978 , Diffraction of waves by plane metallic gratings . J. opt. Soc. Am. , 68 , 1202 – 1205 .
  • KALHOR , H. A. , 1980 , EM scattering by an array of perfectly conducting strips by a physical optics approximation . I.E.E.E. Trans. Antenna Propag. , 28 , 277 – 278 .
  • KALHOR , H. A. , and ARMAND , A. , 1975 , Scattering of waves by gratings of conducting cylinders . Proc. Insin elect. Engrs , 122 , 242 – 248 .
  • KALHOR , H. A. , and ILYAS , M. , 1982 , Scattering of plane EM waves by a grating of conducting cylinders embedded in a dielectric slab over a ground plane . I.E.E.E. Trans. Antenna Propag. , 30 , 576 – 579 .
  • KALIKSTEIN , K. , and SEPULVEDA , A. , 1981 , Variational principles and variational functions in electromagnetic scattering . I.E.E.E. Trans. Antenna Propag. , 29 , 811 – 815 .
  • KAPRILIAN , Z. A. , 1956 , Electromagnetic characteristics of a lattice of infinitely long conducting cylinders . J. appl. Phys. , 27 , 1491 – 1502 .
  • KOCK , W. E. , 1948 , Metallic delay lenses . Bell Syst. tech. J., 27 , 58 – 82 .
  • KONTOROVICH , M. I. , 1972 , Averaged boundary conditions for a grid consisting of nonparallel and nonrectilinear conductors placed on a nonplanar surface . Radio Engng electron. Phys. , 17 , 902 – 910 .
  • LAMB , H. , 1898 , On reflection and transmission of electric waves . Proc. London math. Soc , 29 , 523 – 544 .
  • LANGLEY , R. J. ,DRINK WATER , A. J. , 1982 , An improved empirical model for the Jerusalem cross . Proc. Instn elect. Engrs , Pt. H , 129 , 1 – 6 .
  • LANGLEY , R. J. , and PARKER , E. A. , 1982 , An equivalent circuit model for arrays of square loops . Electron. Lett. , 18 , 294 – 296 .
  • LARSEN , T. , 1962 , A survey of the theory of the wire grids . I.E.E.E. Trans, microw. Theory Tech. , 10 , 191 – 201 .
  • MACFARLANE , G. G , 1946a , Quasi-stationary field theory and its applications to diaphragms and junctions in transmission lines and wave guides . J. Instn elect. Engrs , 93 , Pt. 3A , 703 – 719 .
  • MACFARLANE , G. G. , 1946b , Surface impedance of infinite parallel-wire grid at oblique angles of incidence . J. Instn elect. Engrs , Pt. 3 , 93 , 1523 – 1527 .
  • MARCUVITZ , N. , 1951 , Waveguide Handbook ( McGraw-Hill ), pp. 280 – 284 .
  • MAYHAN , J. T. , and TSAI , L. L. , 1976 , Reflection and transmission characteristics of thin periodic interfaces . I.E.E.E. Trans. Antenna Propag. , 24 , 449 – 456 .
  • MEECHAM , W. C, 1956 , Variational method for the calculation of distribution of energy reflected from a periodic surface . J. appl. Phys. , 27 , 361 – 367 .
  • MILLAR , R. F. , 1973 , The Rayleigh hypothesis and a related least-square solution to scattering problems for periodic surfaces and other scatterers . Radio Sci. , 8 , 785 – 796 .
  • MILES , J. W. , 1949 , The diffraction of a plane wave through a grating . Q. appl. Math. , 7 , 45 – 64 .
  • MONTGOMERY , J. P. , 1975 , Scattering by an infinite periodic array of thin conductors on a dielectric sheet . I.E.E.E. Trans. Antenna Propag. , 23 , 70 – 75 .
  • NEUREUTHER , R. A. , and ZAKI , K. , 1968 , Numerical solutions of electromagnetic boundary value problems by means of asymptotic anticipation method . Radio Sci. , 3 , 1158 – 1167 .
  • OHTA , H. H. , LANG , K. C. , TSAO , C. H. , and MITTRA , R. , 1982 , Frequency selective surface for satellite communications antenna applications . APS Symp. Digest , pp. 475 – 478 .
  • OTT , R. N. , KOUYOUMJIAN , R. G. , and PETERS , L. JR. , 1967 , Scattering by a two dimensional periodic array of narrow plates . Radio Sci , 2 , 1347 – 1359 .
  • PARKER , E. A. , and HAMDY , S. M. A. , 1981 , Rings as elements for frequency selective surfaces . Electron. Lett. , 17 , 612 – 614 .
  • PARKER , E. A. , HAMDY , S. M. A. , and LANGLEY , R. J. , 1981 , Arrays of concentric rings as frequency selective surfaces . Electron. Lett. , 17 , 880 – 881 .
  • PARKER , E. A. , HAMDY , S. M. A. , and LANGLEY , R. J. , 1983 , Modes of resonance of theJerusalem cross in frequency-selective surfaces . Proc. Instn elect. Engrs , Pt. H , 130 , 203 – 208 .
  • PAUL , P. O. , and NAIR , K. G. , 1982 , Rotation of plane of polarization of a beam of microwaves by corrugated reflection surfaces . Electron. Lett. , 18 , 338 – 339 .
  • PELTON , E. A. , and MUNK , B. A. , 1979 , Scattering from periodic arrays of crossed dipoles . I.E.E.E. Trans. Antenna Propag. , 27 , 323 – 330 .
  • PETIT , R. (editor) , 1980 , Electromagnetic Theory of Gratings ( Springer Verlag ).
  • PRIMICH , R. I. , 1955 , A general experimental method to determine the properties of artificialmedia at centimetre wavelength applied to an array of parallel metallic plates . Proc. Instn elect. Engrs , 102B , 26 – 35 .
  • PRIMICH , R. I. , 1957 , Some electromagnetic transmission and reflection properties of a strip grating . I.R.E. Trans. Antenna Propag. , 5 , 176 – 182 .
  • RAYLEIGH , LORD ( J. W. STRUTT) , 1896 , The Theory of Sound , second edition ( London Macmillan ) also 1945, Dover Publications, New York .
  • RAYLEIGH , LORD , 1897a , On the passage of waves through apertures in plane screens and allied problems . Phil. Mag. , 43 , 259 – 272 ( 1903, Sci. Papers, 4, 83-296 ).
  • RAYLEIGH , LORD , 1897b , On the incidence of aerial and electric waves upon small obstacles inthe form of ellipsoids or electric cylinders, and on the passage of electric waves througha circular aperture in a conducting screen . Phil. Mag. , 44 , 28 – 52 ( 1903, Sci. Papers, 4, 305-327 ).
  • RAYLEIGH , LORD , 1907 , On the dynamic theory of gratings . Proc. R. Soc , London , Ser. A , 79 , 399. – 416
  • RICHMOND , J. H. , 1980 , On the edge mode in the theory of EM scattering by a strip or a strip grating . I.E.E.E. Trans. Antenna Propag. , 28 , 883 – 887 .
  • RUZE , J. , 1950 , Metal plate optics . Proc. Inst, radio Engrs , 38 , 53 – 59 .
  • SALEH , A. A. M. , and SEMPLAK , R. A. , 1976 , A quasi-optical polarization-independent diplexerfor use in the beam feed system of millimetre-wave antennas . I.E.E.E. Trans. Antenna Propag. , 24 , 780 – 785 .
  • SCHENNUM , G. H. , 1973 , Frequency selective surfaces for multiple-frequency antennas . Microw. J , 16 , 55 – 57 .
  • SOLLOM , P. H. , 1954 , An accurate parallel-plate spectrometer . Ph.D. dissertation . University of London .
  • TSAO , C.H. , and MITTRA , R. , 1982 , A spectral-iteration approach for analysing scattering from frequency selective surfaces . I.E.E.E. Trans. Antenna Propag. , 30 , 303 – 308 .
  • TWERSKY , V. , 1956 , On scattering of waves by an infinite grating . I.R.E. Trans. Antenna Propag. , 4 , 330 – 354 .
  • TWERSKY , V. , 1960 , Part 2 On multiple scattering of waves . J. Res. NBS , 65D , 715 – 730 .
  • ULRICH , R. , 1967 , Far-infrared properties of metallic mesh and its complementary structure . Infrared Phys. , 7 , 37 – 55 .
  • ULRICH , R. , BRIDGES , T. J. , and POLLACK , M. A. , 1970 , Variable metal mesh coupler for farinfrared lasers . Appl. Opt. , 9 , 2511 – 2516 .
  • VERBITSKII , I. L. , 1974 , Two-dimensional problem of diffraction by periodic structures . Sov. Phys. Dokl , 19 , 356 – 357 .
  • WAIT , J. R. , 1954 , Reflection at arbitrary incidence from a parallel wire grid . Appl. Sci. Res. , B7 , 393 – 400 .
  • WARREN , K. A. J. , 1980 , A planar antenna circular polarization converter utilizing printed circuit technology . Marconi Rev. , Third Quarter , pp. 176 – 184 .
  • WATSON , W. H. , 1947 , The Physical Principles of Waveguide Transmission and Antenna Systems ( Oxford Clarendon Press ), pp. 58 – 61 .
  • WHEELER , H. A. , 1972 , A survey of the simulator technique for describing a radiating elementin a phased-array antenna . Phased Array Antennas . Edited by A. A. Oliner and G. H. Knittel ( Artech House ), pp. 132 – 148 .
  • Wu , T. K. , 1979 , Analysis and applications of multilayered periodic strips . Arch. Elektron.Obertr. , 33 , 144 – 148 .

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