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Radio ray tracing in complex space | Proceedings of the ...
https://royalsocietypublishing.org/doi/10.1098/rspa.1971.0033
Radio Ray Tracing in Complex Space - JSTOR
https://www.jstor.org/stable/77878
Radio ray tracing in complex space 277 Since the media are isotropic, the ray and wave normal have the same direction and Snell's law may be used to derive the ray path. The length P of the phase path is also required and is defined by P =Jnds (2) where ds is an element of the path. A ray is assumed to leave the origin in the plane
Radio ray tracing in complex space
https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.1971.0033
ray tracing is extended so as to use complex space, and to show how they can be solved. Most ray tracing methods trace only a succession of single rays. The tracing of one ray gives no information about neighbouring rays, but the intensity of a signal is determined partly by attenuation, and partly by convergence or divergence
Radio Ray Tracing in Complex Space
https://scholar.archive.org/work/56gv2pmfgzfpdiwqrwx4bdrw3y
The technique of using complex space and of allowing for ray convergence is worked out for a plane stratified ionosphere. Examples are given first for an isotropic ionosphere in which electron collisions are not negligible, and then for an anisotropic ionosphere. ... "Radio Ray Tracing in Complex Space." Proceedings of the Royal Society A 321 ...
Radio Ray Tracing in Complex Space - NASA/ADS
https://ui.adsabs.harvard.edu/abs/1971RSPSA.321..275B/abstract
Radio Ray Tracing in Complex Space - NASA/ADS When a ray in free space impinges obliquely on the boundary of a lossy medium, whose refractive index is complex, it is refracted at a complex angle, and the coordinates of points on it must take complex values.
Complex rays for radio waves in an absorbing ionosphere ...
https://www.semanticscholar.org/paper/Complex-rays-for-radio-waves-in-an-absorbing-Bennett/3478f9ad405d622e0e5b979c666b7b6aeb6de2f0
Ray techniques are used to construct an approximate solution for radio waves propagating in the ionosphere when the loss of energy due to collisions is not negligible. For the time-harmonic problem, the solution is in the form of an asymptotic expansion in a large parameter scaling the operating frequency and the natural frequencies characterizing the ionospheric properties. …
Raytracing • AmateurRadio.com - Ham Radio Blog
https://www.amateurradio.com/raytracing/
The raytrace code used above is small, simple, and written in MATLAB . I doubt that it will ever be released publicly, but if so I will note it here on the blog. Ethan Miller, K8GU, is a regular contributor to AmateurRadio.com and writes from Maryland, USA. Contact him at [email protected]. One Response to “Raytracing” JL1CHV:
Simulating Radio Frequency Propagation via Ray Tracing
https://on-demand.gputechconf.com/gtc/2013/poster/pdf/P0209_KonstantinShkurko.pdf
Ray tracing for RF simulation Optical ray tracing simulates the propagation of visible light in complex 3D environments and also elegantly handles important effects such as direct line -of -sight, reflection, and diffraction .
3 Radio Propagation Modeling - University of Colorado …
https://morse.colorado.edu/~tlen5510/text/classwebch3.html
3.3.1 Ray Tracing Notations Rays are an optical approximation of the electromagnetic wave; as seen earlier, in free space it is convenient to focus on the propagation of the electric field. The (complex) transmitted electric field is noted S ( t ), the received field is R ( t ), we define the ratio p0 ( t) = R ( t) ∕S ( t ).
Complex Wavenumber Rossby Wave Ray Tracing
https://groups.seas.harvard.edu/climate/eli/reprints/Shaman-Samelson-Tziperman-2012.pdf
Ray tracing with complex wavenumbers a. Ray equations The tracing of wave trajectories follows the general theory of ray tracing in an anisotropic medium (Whitham 1974; Lighthill 1978). Specifically, we consider a two- dimensional, approximate plane wave solution with slowly varying amplitude, wavenumber, and position of the form A exp[i
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