Numerical Modeling of Conformal Phased Arrays on Tactical Systems

Conformal phased arrays on missiles and other tactical military platforms are affected in their radiation behavior by the local surface geometry. This controls the array blind spot locations and are dominantly influenced by the creeping wave propagation between array elements. However, for an arbitrary location pair on the curved surface, the appropriate creeping wave formulation can be different and there exists no single formulation that is uniformly valid from the paraxial to the deep shadow region. In this paper, a criterion expressed in terms of the universal Fock parameter xi, for switching between two distinct creeping wave formulations is investigated empirically. This is accomplished by numerically comparing four different high-frequency formulations for source excited surface Hz and Hphi magnetic fields on conducting circular cylinders. Interestingly, the numerical results indicate that a single value for xi may not exist for both Hz and Hphi components, for a given axial separations and cylinder electrical radius ka. The results indicate need for development of advanced creeping wave formulations for improved modeling and performance analysis of flush-mounted conformal phased array systems

[1]  High Frequency Electromagnetic Propagation/Scattering Codes , 2005 .

[2]  Roberto G. Rojas,et al.  Paraxial space-domain formulation for surface fields on a large dielectric coated circular cylinder , 2002 .

[3]  L. Josefsson,et al.  Conformal array antenna theory and design , 2006 .

[4]  Q. Balzano,et al.  Mutual coupling analysis of a conformal array of elements on a cylindrical surface , 1970 .

[5]  A REVIEW OF GTD CALCULATION OF MUTUAL ADMITTANCE OF SLOT CONFORMAL ARRAY , 1982 .

[6]  Ben A. Munk,et al.  Finite Antenna Arrays and FSS: Munk/Finite Antenna Arrays , 2005 .

[7]  P. Pathak Techniques for High-Frequency Problems , 1988 .

[8]  H. Eom,et al.  Radiation from narrow circumferential slots on a conducting circular cylinder , 2005, IEEE Transactions on Antennas and Propagation.

[9]  B. Thors,et al.  Uniform asymptotic solution for the radiation from a magnetic source on a large dielectric coated circular cylinder: Nonparaxial region , 2003 .

[10]  B. Tomasic,et al.  Element pattern of an axial dipole in a cylindrical phased array, Part I: Theory , 1985 .

[11]  James R. Wait Electromagnetic radiation from cylindrical structures , 1959 .

[12]  R. Marhefka,et al.  An asymptotic solution for the surface magnetic field within the paraxial region of a circular cylinder with an impedance boundary condition , 2005, IEEE Transactions on Antennas and Propagation.

[13]  Arun K. Bhattacharyya,et al.  Phased Array Antennas : Floquet Analysis, Synthesis, BFNs and Active Array Systems , 2006 .

[14]  R. Marhefka,et al.  A UTD based asymptotic solution for the surface magnetic field on a source excited circular cylinder with an impedance boundary condition , 2006, IEEE Transactions on Antennas and Propagation.

[15]  Jian-Ming Jin,et al.  Scattering from a cylindrically conformal slotted waveguide array antenna , 1997 .

[16]  A. J. Sangster,et al.  Mutual coupling in conformal microstrip patch antenna arrays , 2003 .

[17]  V. Erturk,et al.  Efficient analysis of input impedance and mutual coupling of microstrip antennas mounted on large coated cylinders , 2003 .

[18]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[19]  Peter J. Mantle The missile defense equation : factors for decision making , 2004 .

[20]  Paraxial and source region behavior of a class of asymptotic and rigorous (MoM) solutions in the high-frequency planar limit , 2005, IEEE Antennas and Wireless Propagation Letters.

[21]  An Asymptotic Solution for Boundary - Layer Fields Near a Convex Impedance Surface , 2002 .

[22]  A Practical Approach to Modeling Doubly Curved Conformal Microstrip Antennas , 2003 .

[23]  Trevor S. Bird,et al.  Accurate asymptotic solution for the surface field due to apertures in a conducting cylinder , 1985 .

[24]  Q. Balzano Analysis of periodic arrays of waveguide apertures on conducting cylinders covered by dielectric , 1974 .

[25]  J. Boersma,et al.  Surface field due to a magnetic dipole on a cylinder : asymptotic expansion of exact solution , 1978 .

[26]  J. Sureau,et al.  Element pattern for circular arrays of waveguide-fed axial slits on large conducting cylinders , 1971 .

[27]  D. Levandier,et al.  Approved for Public Release; Distribution Unlimited , 1994 .

[28]  R. Harrington Time-Harmonic Electromagnetic Fields , 1961 .

[29]  S. Jonathan Chapman,et al.  On the Theory of Complex Rays , 1999, SIAM Rev..

[30]  M. Berry,et al.  Uniform asymptotic smoothing of Stokes’s discontinuities , 1989, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[31]  Paraxial region comparison of creeping wave formulations for axial and circumferential magnetic current elements on a PEC circular cylinder , 2005, 2005 IEEE Antennas and Propagation Society International Symposium.

[32]  E. M. Koper,et al.  Aircraft antenna coupling minimization using genetic algorithms and approximations , 2004 .

[33]  L. Felsen,et al.  Ray analysis of conformal antenna arrays , 1974 .

[34]  G. Gerini,et al.  Phased arrays of rectangular apertures on conformal cylindrical surfaces: a multimode equivalent network approach , 2004, IEEE Transactions on Antennas and Propagation.

[35]  V. Erturk,et al.  Scan blindness phenomenon in conformal finite phased arrays of printed dipoles , 2006, IEEE Transactions on Antennas and Propagation.

[36]  Ben A. Munk,et al.  Finite Antenna Arrays and FSS , 2003 .