An efficient plane wave spectral analysis to predict the focal region fields of parabolic reflector antennas for small and wide angle scanning

Nagamune, Akio; Pathak, P.H.

doi:10.1109/8.102735

Cited by 20 publications

(8 citation statements)

References 15 publications

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“…Many investigations on the fields in focal space of parabolic reflector antenna have been carried out [1][2][3]. Millimeter wave imaging now attracts more attentions.…”

Section: Introductionmentioning

confidence: 99%

Fields in the Focal Space of Symmetrical Hyperbolic Focusing Lens

Dou¹,

Sun²,

Tan³

1998

PIER

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“…Many investigations on the fields in focal space of parabolic reflector antenna have been carried out [1][2][3]. Millimeter wave imaging now attracts more attentions.…”

Section: Introductionmentioning

confidence: 99%

Fields in the Focal Space of Symmetrical Hyperbolic Focusing Lens

Dou¹,

Sun²,

Tan³

1998

PIER

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“…Rigorous procedures require the analysis of the field in the focusing system using adequate full wave techniques and then resorting to Fourier Transformations. Alternatively, an asymptotic procedure for the numerical evaluation of the PWS of the PO field of a reflector system was proposed by Pathak in [13]. In the optical domain, a technique much simpler than both these options is often used, namely the FO method, introduced by E. Wolf in [12].…”

Section: Fo Plane Wave Expansionmentioning

confidence: 99%

“…At , the PO aperture field (i.e., the reflected field) is a local plane wave and its explicit expression becomes (13) where the spreading term, , accounts for the conservation of energy in the ray path from the incidence plane to the reference sphere. The spreading term is calculated by imposing that the power density within the solid angle has to be equal to the power density reflected by the parabola.…”

Section: A Parabolic Reflectormentioning

confidence: 99%

“…Equation (8), with (13) and (15), highlights the representation of the field in the focal plane is represented as a sum of plane waves whose propagation directions are defined as those of the rays traveling from the reflector to the observation points. Accordingly, the PWS is limited to a spectral region defined by the parameterization of the reflector-.…”

Section: A Parabolic Reflectormentioning

confidence: 99%

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Fourier Optics for the Analysis of Distributed Absorbers Under THz Focusing Systems

Llombart

Blazquez

Freni

et al. 2015

IEEE Trans. THz Sci. Technol.

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An analytical spectral model able to accurately and efficiently characterize absorbers distributed in the focal plane of focusing THz systems is presented. The model is obtained by using a Fourier optics representation of the electromagnetic field in the focal plane in conjunction with a recently developed equivalent network representation for the interaction of plane waves with distributed absorbers. The model is validated by comparisons with numerical full-wave simulations. Finally, the model is used to design a few architectures based on lens-coupled Kinetic Inductance Detectors (KIDs), which show high absorption efficiency over a large bandwidth.

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“…The procedure is the same in far zone for z < z . Substituting (17) into the integral expression (12) and (13) and interchanging the order of spatial and spectral integration [20,21], one can evaluate the spatial integral by the method of the saddle point and then express the fields as a spectral integral. Details of the calculus can be found on the Appendix A.…”

Section: Plane-wave Spectrum Derivationmentioning

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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An efficient plane wave spectral analysis to predict the focal region fields of parabolic reflector antennas for small and wide angle scanning

Cited by 20 publications

References 15 publications

Fields in the Focal Space of Symmetrical Hyperbolic Focusing Lens

Fields in the Focal Space of Symmetrical Hyperbolic Focusing Lens

Fourier Optics for the Analysis of Distributed Absorbers Under THz Focusing Systems

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

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