HIRF penetration and PED coupling analysis for fuselage models using a hybrid subgrid FDTD(2,2)/FDTD(2,4) method

Some of the problems associated with perfect electric conductor (PEC) boundary conditions in the context of FDTD(2,4) are discussed. Also, a hybrid technique of FDTD(2,4) with subgrid FDTD(2,2) is formulated and applied to practical engineering problems. FDTD(2,2) is the standard FDTD, second-order accurate both in time and space, whereas FDTD(2,4) is second-order accurate in time and fourth-order accurate in space. Two important EMI problems are examined. First, the shielding effectiveness of a simplified scale model of a Boeing 757 aircraft is calculated. A critical EMI/EMC issue, that is relevant to all aviation, concerns the penetration of high intensity radiated fields (HIRF) into conducting enclosures via apertures. Second, the coupling of personal electronic devices (PEDs) is examined for the scaled fuselage by modeling the coupling between a PED antenna inside the fuselage and an antenna mounted on the exterior skin of the fuselage. The EMI generated by PEDs is another very important issue for all aviation. In the two cases, both the standard and hybrid FDTD methods are applied and the predictions are validated by comparison with measurements.

[1]  Amir Yefet,et al.  A staggered fourth-order accurate explicit finite difference scheme for the time-domain Maxwell's equations , 2001 .

[2]  H. Kreiss,et al.  Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II , 1972 .

[3]  B. Strand.  Summation by parts for finite difference approximations for d/dx , 1994 .

[4]  Bertil Gustafsson,et al.  The convergence rate for difference approximations to general mixed initial boundary value problems , 1981 .

[5]  D. Gottlieb,et al.  The Stability of Numerical Boundary Treatments for Compact High-Order Finite-Difference Schemes , 1993 .

[6]  Peter G. Petropoulos,et al.  Phase Error Control for FD-TD Methods , 1993 .

[7]  Constantine A. Balanis,et al.  HIRF penetration through apertures: FDTD versus measurements , 2001 .

[8]  Karl Kunz,et al.  A Technique for Increasing the Resolution of Finite-Difference Solutions of the Maxwell Equation , 1981, IEEE Transactions on Electromagnetic Compatibility.

[9]  Peter G. Petropoulos,et al.  Phase error control for FD-TD methods of second and fourth order accuracy , 1994 .

[10]  Richard Holland,et al.  Code Optimization for Solving Large 3D EMP Problems , 1979, IEEE Transactions on Nuclear Science.

[11]  Mikhail Shashkov,et al.  Formulations of Artificial Viscosity for Multi-dimensional Shock Wave Computations , 1998 .

[12]  D. Gottlieb,et al.  Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: methodology and application to high-order compact schemes , 1994 .

[13]  K. Yee,et al.  A subgridding method for the time-domain finite-difference method to solve Maxwell's equations , 1991 .

[14]  D. Furihata,et al.  Finite Difference Schemes for ∂u∂t=(∂∂x)αδGδu That Inherit Energy Conservation or Dissipation Property , 1999 .

[15]  D. Gottlieb,et al.  A Stable and Conservative Interface Treatment of Arbitrary Spatial Accuracy , 1999 .

[16]  R. C. Swanson.  On Some Numerical Dissipation Schemes , 1998 .

[17]  Jeffrey L. Young,et al.  Toward the construction of a fourth-order difference scheme for transient EM wave simulation: staggered grid approach , 1997 .

[18]  A. Chertock,et al.  Strict Stability of High-Order Compact Implicit Finite-Difference Schemes: The Role of Boundary Conditions for Hyperbolic PDEs, II , 2000 .

[19]  D. Merewether,et al.  On Implementing a Numeric Huygen's Source Scheme in a Finite Difference Program to Illuminate Scattering Bodies , 1980, IEEE Transactions on Nuclear Science.

[20]  David L. Darmofal,et al.  Eigenmode Analysis of Boundary Conditions for the One-Dimensional Preconditioned Euler Equations , 1999 .

[21]  C. Balanis,et al.  A hybrid fourth-order FDTD utilizing a second-order FDTD subgrid , 2001, IEEE Microwave and Wireless Components Letters.

[22]  Robert J. Lee,et al.  On the Accuracy of Numerical Wave Simulations Based on Finite Methods , 1992 .

[23]  R.J. Luebbers,et al.  FDTD local grid with material traverse , 1996, IEEE Antennas and Propagation Society International Symposium. 1996 Digest.

[24]  Björn Sjögreen,et al.  High order centered difference methods for the compressible Navier-Stokes equations , 1995 .

[25]  Jan Nordström,et al.  Boundary and Interface Conditions for High-Order Finite-Difference Methods Applied to the Euler and Navier-Stokes Equations , 1999 .

[26]  Constantine A. Balanis,et al.  Coupling between transmission line antennas: analytic solution, FDTD, and measurements , 1999 .

[27]  Melinda Piket-May,et al.  A modified FDTD (2, 4) scheme for modeling electrically large structures with high-phase accuracy , 1997 .

[28]  J. S. Shang,et al.  High-Order Compact-Difference Schemes for Time-Dependent Maxwell Equations , 1999 .