Direct Integration of Field Equations

Tai, Chen-To

doi:10.2528/pier99101401

Cited by 20 publications

(11 citation statements)

References 12 publications

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“…Using the Franz's integrals [18], the radiated fields from electric J CGB and magnetic M CGB elementary currents can be expressed as electric E r J , H r J and magnetic E r M , H r M CGB by:…”

Section: Conformal Gaussian Beammentioning

confidence: 99%

Electromagnetic Scattering of a Field Known on a Curved Interface Using Conformal Gaussian Beams

Hillairet¹,

Sokoloff²,

Bolioli³

2008

PIER B

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Abstract-Asymptotic techniques have been successfully applied to compute electromagnetic wave radiation in various high-frequency engineering domains. Recent approaches based on Gaussian beams for tracking fields may overcome some problems inherent to the ray methods such as caustics. The efficiency of these methods is based on the ability to expand surface fields into a superposition of Gaussian beams. However, some difficulties may arise when the surface is curved. In this paper, we propose a new efficient way to expand fields on a curved surface into Gaussian beams. For this purpose, a new beam formulation called Conformal Gaussian Beam (CGB) is used. The CGBs have been developed to overcome the limitation of the expansion into paraxial Gaussian Beams. The analytical Plane-Wave Spectrum and far-field of a CGB are derived and compared with numerical calculations. A brief parameter analysis of the CGBs is realised.

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Section: Conformal Gaussian Beammentioning

confidence: 99%

Electromagnetic Scattering of a Field Known on a Curved Interface Using Conformal Gaussian Beams

Hillairet¹,

Sokoloff²,

Bolioli³

2008

PIER B

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“…The scattered electric field is calculated using the Kottler current integral formulation at large distance [28]:…”

Section: Po Integralmentioning

confidence: 99%

Uniform Analytic Scattered Fields of a Pec Plate Illuminated by a Vector Paraxial Gaussian Beam

Hillairet¹,

Sokoloff²,

Bolioli³

2009

PIER B

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Abstract-A uniform asymptotic expression is developed for calculating the fields scattered by a perfect electrically conducting plate illuminated by a vectorial gaussian beam. This expression has been obtained under the physical optics approximation using the saddle point method. Some numerical applications are presented and compared with some reference methods such as a MoM. A brief parameter study of this solution is presented.

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“…The generated wave-front has the shape of a 3D helicoid-surface, with a pitch being a function of the z r k k ratio. The diffraction-properties of the generated radiationpattern are being computed by using the "Direct Electromagnetic Field Integration" method, reported by Walter Franz in 1948 [2], and reviewed by Chen-To Tai in 2000 [3].…”

mentioning

confidence: 99%

“…It is therefore of extreme interest to determine the actual diffraction-pattern obtained, with the circular aperture truncated at a relatively-small, normalized maximum radius nP r with a local appropriate edge-taper. The determination of the actual diffractionpattern has therefore been performed using the "Direct Electromagnetic Field Integration" method, reported by Walter Franz in 1948 [2], and reviewed by Chen-To Tai in 2000 [3], so that all the components of the E -, and H -field, including the z E , and z H axial components, and the different linear-dependence of the phase-angles from the azimuth angle ϕ , are rigorously taken into account.…”

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confidence: 99%

A pseudo non-diffracting microwave vortex

Speciale¹

2007

2007 IEEE Antennas and Propagation Society International Symposium

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Recent computations, performed with the well-known Mathematica program, have produced rigorous, closed-form, symbolic expressions of the cylindrical E-field, and Hfield components of a planar, circular-aperture field-distribution that appears to generate a radiation-pattern exhibiting the propagation-invariance of the so-called "pseudo nondiffracting" optical Bessel-beams. The new planar, circular-aperture field-distribution obtained includes radial-, azimuth-, and axial-components of both the E-field, and Hfield with different linearly-dependent azimuth phases. Further, only the axial-( * z S ), and azimuth-( ϕ * S ) components of the complex Poynting Vector are non-zero, while the radial component * r S is identically-zero, everywhere on and above the aperture-plane, at all radial distances from the broadside-axis, and at all axial-distances from the apertureplane. The generated wave-front has the shape of a 3D helicoid-surface, with a pitch being a function of the z r k k ratio. The diffraction-properties of the generated radiationpattern are being computed by using the "Direct Electromagnetic Field Integration" method, reported by Walter Franz in 1948 [2], and reviewed by Chen-To Tai in 2000 [3].

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Direct Integration of Field Equations

Cited by 20 publications

References 12 publications

Electromagnetic Scattering of a Field Known on a Curved Interface Using Conformal Gaussian Beams

Electromagnetic Scattering of a Field Known on a Curved Interface Using Conformal Gaussian Beams

Uniform Analytic Scattered Fields of a Pec Plate Illuminated by a Vector Paraxial Gaussian Beam

A pseudo non-diffracting microwave vortex

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