Array 1D, Array 2D, and Array 3D

), (

), or (

) dataset, found under the , , and submenus, to create an array of data for plots based on another dataset. The , , and nodes’ windows include the following sections:

From the list, choose the dataset that you want to duplicate into an array. The list includes all available datasets that are compatible with the Array dataset (1D datasets for Array 1D, 2D datasets for Array 2D, and 3D datasets for Array 3D).

In this section you define the part of space that the array is created from. From the list, select (the default) to use the source dataset’s bounding box as input. Alternatively, select to specify the part of space manually:

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Under , define the dimensions of the input space in the , (2D and 3D), and (3D only) fields (the names of the space coordinates can vary).

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Under , define the base point for the input space. From the list, select (the default) or to use a location at the lower-left corner or the center as the base position. Then enter the base position in the , , and (3D only) fields (the names of the space coordinates can vary).

Here you specify the size of the array as the number of cells in each direction. From the , choose , (2D only), or (3D only). For , enter the number of cells as a positive integer in the field. You specify the distance between each cell in the section below. For and , you specify the number of cells as positive integers in each i direction in the , , and (3D only) fields. For 1D, enter the number of cells in the field (the names of the space coordinates can vary).

In this section you specify the displacement used to separate each cell in the array. From the list, select (the default) to a displacement that is the same as the size defined in the section. This means that to create an array of cells that have the same size as the underlying dataset’s bounding box, you can use both here and in the section. Alternatively, select to specify the displacement manually by entering displacement distances in the , (2D and 3D), and (3D only) fields (the names of the space coordinates can vary). The displacement cannot be smaller than the size of the input cell.

If needed, you can define variables for the array dataset. Select the check box to define the following variables:

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Under , you create variables that evaluate to the coordinates in the dataset’s coordinate system. Enter variable names in the , (2D and 3D), and (3D only) fields (the names of the space coordinates can vary).

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Under , you create integer variables that identify the current cell in the array. For example, the 3D cell with variable values (0, 0, 0) corresponds to the underlying dataset’s cell. Enter variable names in the , , and (3D only) fields (the names of the space coordinates can vary).

Select the check box if you want to incorporate phase changes from Floquet-Bloch periodicity. The Floquet-Bloch periodicity corresponds to the relation

where R is the lattice vector, and k is the wave number. For Array datasets, the lattice vector when evaluating in a cell of the array is the displacement from the base cell. You define the Floquet-Bloch periodicity using the components of the wave vector k (SI unit: 1/m) in the , (2D and 3D), and (3D only) fields under . The wave vector can be complex, and you can use this to model gains and losses over an array.

Clear the check box to make it possible to, for example, create a hexagonal lattice by composing two linear arrays. It also makes it possible to create rectangular lattices where the unit cells are not rectangles. To create such lattices, you have to create an array of arrays, where you in the outer array specify the right shift.