Visualize the results by plotting the data. Create a map using an equidistant cylindrical projection and plot the data as a surface. Adjust the aspect ratio of the map by using thedaspectfunction. View the map in 3-D by using theviewfunction. ...
Visualize the results by plotting the data. Create a map using an equidistant cylindrical projection and plot the data as a surface. Adjust the aspect ratio of the map by using thedaspectfunction. View the map in 3-D by using theviewfunction. ...
(4) obtaining the coordinates of the central points of the oval cross sections of the top and the bottom of the chimney by use of a formula; and (5) connecting the two central points to obtain a vector line segment and obtaining the inclination orientation and the inclination amount of ...
The normal derivative is defined as ∂⊥ ≡ p(r) ⋅ ∇|r where p(r) is the outward normal unit vector at point r on the boundary curve Γ of the interior (exterior) region of the cavity. The TM modes of a cylindrical cavity in the WT space are supported by the refr...
In contrast with the conventional methods in which vanishing point is estimated from lines, the proposed method does not necessarily extract lines, but employs the spherical gradient cues of edge points. Based on the observation that spherical gradient is aligned with the normal vector of the ...
The principal advantage of gradient index optics is the simplification of optics systems by the elimination of one or two lenses in a multilens system. This results in reduced cost, size, and weight without a sacrifice in performance. This tutorial begins with an understanding of the basics of...
and the equilibrium equations with the complete boundary conditions are simultaneously determined. Three internal characteristic lengths of the underlying microstructure are introduced in the constitutive equations. The general solutions in cylindrical polar coordinates consisting of the modified Bessel functions ...
the deformed to the undeformed volume, being the determinant of\(\textbf{F}\), shall fulfill the condition of\(J = \text {det}[\textbf{F}] > 0\). In order to track the motion of the body from the material to the spatial configuration at timet, the displacement vector is defined ...
where\(q=\gamma g\delta\)has been introduced as a measure of the intensity of the field gradient pulses. It is seen that\(q\)plays the role of a scattering vector [23,24].\(P\left(z,t\right)\)denotes the probability density that, during a time intervalt, an arbitrarily selected ...
The theoretical and experimental investigations of the depolarization of cylindrical vector beams when they propagate into a side non-uniformly pumped isotropic laser medium. The azimuthal gradient of thermal load inside the cross-section of laser rod and its induced dynamic process on thermally induced...