On the Eigenfunction Expansions of the Dyadic Green's Functions for Bianisotropic Media

Tan, E. L.; Tan, S. Y.

doi:10.2528/pier98022500

Cited by 9 publications

(3 citation statements)

References 30 publications

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“…These frequencydomain methods are well-suited for further developments of useful mobile apps as well, e.g., calculations of S parameters, illustrations of wave polarization, reflection and transmission, etc. More advanced analyses can be carried out on mobile apps for EM waves in various complex media including biisotropic [121][122][123], anisotropic [124][125][126], gyrotropic [127,128] and bianisotropic [129][130][131][132][133] media, etc. For illustration, Fig.…”

Section: Further Developments and Extensions Of Mobile Appsmentioning

confidence: 99%

Fundamental Implicit FDTD Schemes for Computational Electromagnetics and Educational Mobile Apps (Invited Review)

Tan¹

2020

PIER

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This paper presents an overview and review of the fundamental implicit finite-difference time-domain (FDTD) schemes for computational electromagnetics (CEM) and educational mobile apps. The fundamental implicit FDTD schemes are unconditionally stable and feature the most concise update procedures with matrix-operator-free right-hand sides (RHS). We review the developments of fundamental implicit schemes, which are simpler and more efficient than all previous implicit schemes having RHS matrix operators. They constitute the basis of unification for many implicit schemes including classical ones, providing insights into their interrelations along with simplifications, concise updates and efficient implementations. Based on the fundamental implicit schemes, further developments can be carried out more conveniently. Being the core CEM on mobile apps, the multiple one-dimensional (M1-D) FDTD methods are also reviewed. To simulate multiple transmission lines, stubs and coupled transmission lines efficiently, the M1-D explicit FDTD method as well as the unconditionally stable M1-D fundamental alternating direction implicit (FADI) FDTD and coupled line (CL) FDTD methods are discussed. With the unconditional stability of FADI methods, the simulations are fast-forwardable with enhanced efficiency. This is very useful for quick concept illustrations or phenomena demonstrations during interactive teaching and learning. Besides time domain, many frequency-domain methods are well-suited for further developments of useful mobile apps as well.

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Section: Further Developments and Extensions Of Mobile Appsmentioning

confidence: 99%

Fundamental Implicit FDTD Schemes for Computational Electromagnetics and Educational Mobile Apps (Invited Review)

Tan¹

2020

PIER

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“…The IDGF algorithm employs the dyadic Green's function to compute the diffraction field inside the cavity. The dyadic Green's function theory is an extremely powerful and efficient way in the study of electromagnetic wave propagation and scattering, and has been extensively developed to solve so many electromagnetic problems [25][26][27][28][29][30]. The electric and magnetic field components E and H of the dyadic Green's function diffraction integral formula can be written as [25]…”

Section: Idgf Algorithmmentioning

confidence: 99%

Analysis of Mm-Wave Bands Quasi-Optical Unstable Bessel-Gauss Resonator by Idgf Algorithm

Yu¹,

Meng²,

Dou³

2014

PIER Letters

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An analysis of quasi-optical unstable Bessel-Gauss resonator (QOUBGR) at millimeter wavelengths is presented in this paper. The QOUBGR, formed by a conical mirror and a convex mirror, is designed on the basic of quasi-optical theory and techniques. For the purpose of precisely analyzing the designed QOUBGR, a new algorithm known as iterative dyadic Green's functions (IDGF) is proposed, which originates from famous Fox-Li algorithm. The IDGF algorithm can calculate not only two-dimension (2-D) but also three-dimension (3-D) resonating modes in the cavity. Simulation results demonstrate that the designed QOUBGR can steadily support both zero-order and high-order resonant modes that are approximations to Bessel-Gauss beams. These beams will find their promising applications in the MM-and/or quasi-optical imaging and measurement systems.

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“…An analysis has been done on the effects of the substrate, which may contain any number of planar, uniaxially anisotropic, dielectric layers. They are incorporated in the formulation using Green's functions in space or spectral domain [18][19][20][21][22][23]. The current distribution on the conducting patch is approximated in terms of vector basis functions defined over triangular elements.…”

Section: Chapter Literature Reviewmentioning

confidence: 99%

Improved designs of antennas, power dividers and antenna arrays using modified Gielis curves

Vignesh¹

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On the Eigenfunction Expansions of the Dyadic Green's Functions for Bianisotropic Media

Cited by 9 publications

References 30 publications

Fundamental Implicit FDTD Schemes for Computational Electromagnetics and Educational Mobile Apps (Invited Review)

Fundamental Implicit FDTD Schemes for Computational Electromagnetics and Educational Mobile Apps (Invited Review)

Analysis of Mm-Wave Bands Quasi-Optical Unstable Bessel-Gauss Resonator by Idgf Algorithm

Improved designs of antennas, power dividers and antenna arrays using modified Gielis curves

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