Time-domain analysis of periodic structures at oblique incidence: orthogonal and nonorthogonal FDTD implementations

Roden, Judith; Gedney, Stephen D.; Kesler, Morris P.; Maloney, J.G.; Harms, P.H.

doi:10.1109/22.664143

Cited by 159 publications

(106 citation statements)

References 9 publications

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“…In [9] the fields in the directions of the structure periodicities are split into two components. Here, UPML absorbing boundary condition is used.…”

Section: Methods Formulationmentioning

confidence: 99%

“…Several time domain methods have been presented for the analysis of periodic structures. Split-field update FDTD method [9] is one of the most powerful methods used for the analysis of periodic structures at oblique incidence. Here, lumped elements formulations are incorporated in this method formulation based on [10] and the proposed structure is analyzed using this method.…”

Section: Introductionmentioning

confidence: 99%

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Design of Band-Pass Waveguide Filter Using Frequency Selective Surfaces Loaded With Surface Mount Capacitors Based on Split-Field Update FDTD Method

Amjadi¹,

Soleimani²

2008

PIER B

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Abstract-A new band-pass narrow-band, miniaturized and single resonance within a wide range of frequency band frequency selective surface structure with lumped capacitors suitable for low frequency and narrowband waveguide filter applications is presented. The filter structure consists of five unit cells in one direction with notch square ring elements each consists of two lumped capacitors placed on the transverse plane of the rectangular waveguide. To reduce the simulation time in design procedure, split-field update FDTD method is used for the analysis of the unit cell of the analogous infinite frequency selective surface at different oblique incidence of plane waves to predict the FSS performance in the waveguide. As an application, a waveguide filter has been designed to be used in an easy to fabricate and inexpensive S-band band-pass filter. By using lumped capacitors, several undesirable higher order resonance frequencies near the dominant resonance frequency are eliminated and the waveguide filter dimensions are reduced considerably in one direction compared with the analogous waveguide filter without lumped capacitors.

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“…In [9] the fields in the directions of the structure periodicities are split into two components. Here, UPML absorbing boundary condition is used.…”

Section: Methods Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Design of Band-Pass Waveguide Filter Using Frequency Selective Surfaces Loaded With Surface Mount Capacitors Based on Split-Field Update FDTD Method

Amjadi¹,

Soleimani²

2008

PIER B

View full text Add to dashboard Cite

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“…Following [29,39], we next eliminate the time-derivative terms ∂/∂t ⇔ jω by splitting the field variables:…”

Section: Basic Concepts Of Sf-fdtdmentioning

confidence: 99%

“…In the general case of oblique incidence, however, the phase shift between the periods must be considered. This can be done, e.g., by the multiple grid approach [28] or the Split-Field (SF) method [29]. These techniques are based on the field transformation to eliminate the phase shift (time delay) between adjacent periods [30], and recently they have been widely used in the analysis of periodic structures [31][32][33].…”

Section: Introductionmentioning

confidence: 99%

Split-Field Finite-Difference Time-Domain Scheme for Kerr-Type Nonlinear Periodic Media

Monllor¹,

Tervo²,

Neipp³

2013

PIER

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Abstract-The Split-Field Finite-Difference Time-Domain (SF-FDTD) formulation is extended to periodic structures with Kerr-type nonlinearity. The optical Kerr effect is introduced by an iterative fixedpoint procedure for solving the nonlinear system of equations. Using the method, formation of solitons inside homogenous nonlinear media is numerically observed. Furthermore, the performance of the approach with more complex photonic systems, such as high-reflectance coatings and binary phase gratings with high nonlinearity is investigated. The static and the dynamic behavior of the Kerr effect is studied and compared to previous works.

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“…8 The FDTD technique numerically simulates the time domain evolution of the electromagnetic field in a given region which is numerically described by defining adequate numerical boundary conditions. Because of the periodicity of the structure a single row of the lattice is simulated, 7,9 introducing periodic boundary conditions. Other boundary conditions are 10 the latter are used at the beginning and at the end of the mesh in order to simulate an infinite structure in the x direction at both ends of the mesh.…”

Section: Numerical Simulationmentioning

confidence: 99%

Transmission properties at microwave frequencies of two-dimensional metallic lattices

Navarro

Martı́nez-Pastor

Such

1999

Journal of Applied Physics

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The transmission properties of different metallic photonic lattices ͑square and rectangular͒ have been experimentally studied. A numerical algorithm based on time domain finite differences has been used for simulating these photonic structures. The introduction of defects in the two-dimensional metallic lattice modifies its transmission spectrum. If metal rods are eliminated from ͑or added to͒ the lattice, extremely narrow peaks are observed at some particular frequencies below ͑or above͒ the band pass edge.

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Time-domain analysis of periodic structures at oblique incidence: orthogonal and nonorthogonal FDTD implementations

Cited by 159 publications

References 9 publications

Design of Band-Pass Waveguide Filter Using Frequency Selective Surfaces Loaded With Surface Mount Capacitors Based on Split-Field Update FDTD Method

Design of Band-Pass Waveguide Filter Using Frequency Selective Surfaces Loaded With Surface Mount Capacitors Based on Split-Field Update FDTD Method

Split-Field Finite-Difference Time-Domain Scheme for Kerr-Type Nonlinear Periodic Media

Transmission properties at microwave frequencies of two-dimensional metallic lattices

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