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The elementary plane wave in each stratified layer, as established by Nagano et al.
Here, the elementary plane waves at an arbitrary altitude z are rigorously calculated with various incident angles in the horizontally stratified medium as the full-wave solution.
The infinite integral of Eq. (9) can be numerically computed as a finite integral, because the elementary plane waves become evanescent waves for large (k_x) and (k_y).
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The calculation techniques for the superposition of elementary plane waves based on the full-wave solutions have been described in detail by Nagano et al.
The Nine Chapters gives formulas for elementary plane and solid figures, including the areas of triangles, rectangles, trapezoids, circles, and segments of circles and the volumes of prisms, cylinders, pyramids, and spheres.
Equation (9) indicates that a spherical wave field can be represented as the superposition of a large number of elementary plane waves propagating in all directions of the wave normal vector.
Those include a work on inscribing the regular heptagon in a circle; a collection of lemmas (propositions assumed to be true that are used to prove a theorem) and a book, On Touching Circles, both having to do with elementary plane geometry; and the Stomachion (parts of which also survive in Greek), dealing with a square divided into 14 pieces for a game or puzzle.
Each elementary plane wave is connected with those in the adjacent layers to satisfy boundary conditions based on Snell's law.
One approach for increasing the structural homogeneity of light distribution is to use an illuminating device with a mirror reflector whose surface consists of a set of elementary plane mirrors, called facets.
These locations are shown in Figure 2. The building database gathers elementary planes constituting the structures (walls, doors, windiws, cupboards, bookshelves, and tables), as shown in Figure 1. Figure 1 (a) A measurement configuration within an office room with (b) a 3D ray tracing.
First, it is known that these functions achieve the lower bound of the uncertainty principle (time-bandwidth product) and have been described as the "elementary signals" on the time-frequency plane [22, 46].
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Justyna Jupowicz-Kozak
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