Overlap Integral

The computed field profilecan be used to find the overlap integral with another field profile, such as <E1(x,y) | f(x,y) | E2(x,y)> where f(x,y) is the function over which the integral is performed.

The function f(x,y) can be entered the same was as the refractive index, or trial function.

• An arbitrary two-dimensional profile can be uploaded as ASCII numeric values. This profile must be uploaded as three separate text files. The first file defines the x-grid. It is simply a column of numbers. Click here for an example of the grid file. Similarly, the second file defines the y-grid. The third file contains the overlap function profile that corresponds to the grid points defined in the previous two files. Click here for an example of the profile file. The refractive index file must be arranged like:
  N(x=1,y=1) N(x=2,y=1) N(x=3,y=1)....
  N(x=1,y=2) N(x=2,y=2) N(x=3,y=2)....
  
• The overlap function can be created using a set of built-in polygon functions. Each polygon is a two dimensional shape. The function value inside the polygon is specified by the user, and the value outside the polygon is zero. Multiple polygons can be entered, and most geometries of interest can be constructed this way. Click here for a complete description.
• The distribution profile from another job can be transferred to this job. When field, refractive index or function is plotted from the other program, there should be an option at the bottom of the screen for copying that distribution as the overlap function for another program.