Parameters of the CHC plug-in

In Tonatiuh release 1.1.2, the latest one as of the writting of this post, we have introduced a new shape plugin, the 2D Compound Hyperbolic Concentrator plug-in, which in Tonatiuh is called "Trough_CHC".

The mathematical model defining the CHC implemented in the Trough_CHC plug-in is taken from the following article:

William L. Eichhorn, "Generalized conic concentrators", Appl. Opt. 21, 3887-3890 (1982). http://www.opticsinfobase.org/abstract.cfm?URI=ao-21-21-3887

The plug-in, when added in Tonatiuh as a child to a TShapeKit node, implements one side of a 2D Compound Hyperbolic Concentrator.

From Tonatiuh Blog Figures

As indicated in the above figure, the geometry is defined by the following 5 parameters:

• r1, the distance in the x-direction from the origin of the CHC implicit local coordinate system to the middle of the lower border, oriented in the z-direction and centered around the x-axis. In the negative x-direction, r1 is also de distance in x-axis where the focus of the branch of the hyperbola represented by the plug-in is located (point F in the figure).
• p1,  the distance in the x-direction from the origin of the CHC implicit local coordinate system to the middle of the the upper border, oriented in the z-direction and centered around the x-axis.
• lengthX1, the length of the lower border, oriented in the z-direction and centered around the x-axis.
• lengthX2, the length of the upper border,oriented in the z-direction and centered around the x-axis.
• height, the distance in the y-direction between the lower and the upper border.

By defining lengthX1 and lengthX2 appropiately, it is possible to combine several trough CHC plug-ins to represent a large variety of hyperbolic concentrators. As an example, the figure below shows an Hexagonal CHC constructed using six troguh CHC plug-ins.

From Tonatiuh Blog Figures