A beam summation algorithm for wave radiation and guidance in stratified media

Heilpern, Tal; Heyman, E.; Timchenko, Vadim

doi:10.1121/1.2537221

Cited by 19 publications

(13 citation statements)

References 17 publications

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“…where θ D is the diffraction angle mentioned after (4). As discussed in [4], the parameter b is chosen to be of the order of the overall propagation path in the specific indoor neighborhood to be modeled.…”

Section: Gbs Representations For a Point Source In Free Spacementioning

confidence: 99%

“…Typically, for indoor configurations this parameter is of order of 500 m, hence for 3 GHz, the source field is described by approximately 10,000 beams. For further details concerning this parameterization, the readers are referred to [4].…”

Section: Gbs Representations For a Point Source In Free Spacementioning

confidence: 99%

“…As discussed in [4], the parameter b is chosen to be of the order of the overall propagation path in the specific indoor neighborhood to be modeled. Typically, for indoor configurations this parameter is of order of 500 m, hence for 3 GHz, the source field is described by approximately 10,000 beams.…”

Section: Gbs Representations For a Point Source In Free Spacementioning

confidence: 99%

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Gaussian beam summation algorithm for ultra wide band indoor channel characterization

Timchenko

Heyman

Boag

2010

2010 URSI International Symposium on Electromagnetic Theory

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We present a software package INDOOR-GBS (Gaussian Beam Summation) designed to simulate indoor electromagnetic field propagation in the ultra wideband (UWB) regime. The package is based on the GBS method where the field of the transmitting antenna is expanded into a superposition of GBs that emerge from the source in a discrete set of directions. Thereafter the beams are traced in the configuration through multiple reflections and transmissions at the walls/ceilings/floors and the field is calculated by summing the contributions of the beams that pass near the zone of interest. The algorithm consists mainly of two phases: a processing phase where the beams are traced through the medium, and a post-processing phase where the field and the channel parameters are calculated for the given source and receiver antennas. The processing phase utilizes a dyadic electromagnetic formulation so that the antennas' properties are used only in the post-processing phase, thus facilitating efficient post-processing calculations for antenna and channel optimization. The algorithm also employs a particular set of isodiffracting GBs (ID-GB), whose propagation characteristics are frequency independent and lead to efficient UWB calculations.

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Section: Gbs Representations For a Point Source In Free Spacementioning

confidence: 99%

Section: Gbs Representations For a Point Source In Free Spacementioning

confidence: 99%

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Gaussian beam summation algorithm for ultra wide band indoor channel characterization

Timchenko

Heyman

Boag

2010

2010 URSI International Symposium on Electromagnetic Theory

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“…In fact, in such a case it is preferable to use collimated CSP beams with b ≈ r min or larger. This indeed allows one to exploit the local angular selectivity [41]. This case is of practical importance when dealing with MoM type reaction integrals between groups of basis functions, or in the generalized admittance matrix approach discussed next.…”

Section: Comparisons Of the Two Approaches And Influence Of Bmentioning

confidence: 99%

GENERATION OF COMPLEX SOURCE POINT EXPANSIONS FROM RADIATION INTEGRALS (Invited Paper)

Martini¹,

Maci²

2015

PIER

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Abstract-This paper discusses methods for expanding fields radiated by arbitrary sources enclosed by a certain minimum sphere in terms of Complex Source Point (CSP) beams. Two different approaches are reviewed; the first one is based on a spectral radiation integral, where the Fourier-spectrum is obtained by far field matching. The second approach consists of two steps: first, the equivalence principle is applied to a sphere enclosing the real sources, and a continuous equivalent electric current distribution is obtained in terms of spherical waves; then, the continuous current is extended to complex space and its SW components are properly filtered and sampled to generate the discrete set of CSPs. In both cases, the final result is a compact finite series representation with a number of terms that matches the degrees of freedom of arbitrary radiated fields; it is particularly efficient when the fields are highly directional and the observation domain is limited to a given angular sector. The fact that the CSPs rigorously respect Maxwell's equations ensures the validity of the expansion from near to far zone and allows one to incorporate the CSP representation in a generalized admittance matrix formalism for the analysis of complex problems.

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“…Furthermore, only a few papers treat propagation in waveguides [3,5], while stratified media are more common, see e.g. [6].…”

Section: Introductionmentioning

confidence: 99%

Gaussian beam summation in shallow waveguides

Svensson

2008

Wave Motion

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A beam summation algorithm for wave radiation and guidance in stratified media

Cited by 19 publications

References 17 publications

Gaussian beam summation algorithm for ultra wide band indoor channel characterization

Gaussian beam summation algorithm for ultra wide band indoor channel characterization

GENERATION OF COMPLEX SOURCE POINT EXPANSIONS FROM RADIATION INTEGRALS (Invited Paper)

Gaussian beam summation in shallow waveguides

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