Calculation

Compatibility:

The Calculation menu allows you to do your calculations quickly and efficiently.

Optical Grating - Calculation menu

Run

To perform your Calculation, Spectrum, and Pulse Response calculations, just click
either Run from the Calculation menu or the Run button on the Toolbar.
In the dialog box that opens, you can see when the calculation is completed.

Scan

To perform your parameter scan calculation.

Inverse Scattering Solver

To solve the inverse scattering problem of Bragg gratings. The method is based on a layerpeeling algorithm. See the Technical Background chapter of the OptiGrating manual for details.

The Scan dialog box

Optical Grating - The Scan dialog box

Select Grating/Phase Shift

Select either Grating or Phase Shift from the list

Select Scan Parameter

Select a scan parameter from the grating list in this section

Scan the Parameter

From – Initial value of the scan parameter
To – final value of the scan parameter
Steps – Number of the calculation steps in the Scan calculation

The Inverse Scattering Solver

For detailed information on how to use the Inverse Scattering Solver to solve the
inverse scattering problem, please refer to Lessons 5 -8 in the Tutorial section of the
OptiGrating manual.

Optical Grating - Inverse scattering problem dialog box

From

The starting wavelength.

To

The ending wavelength.

Steps

The Steps field indicates the number of divisions used in the specified wavelength
range.

Ref/Tran Define

Brings up a dialog box for defining the target reflectivity spectrum as seen below:

Optical Grating - User defined function dialog box

  • Click on Display to plot the curve shown. The desired impulse response will be
    calculated from the Fourier transform of the reflection coefficient.

Dispersion profile Define

Located beside the Phase, Delay, and Disp radio buttons. Defines the target spectrum for the quantity indicated by the radio buttons.

Length

This is the length of the grating.

From File

Enable this checkbox and define a path to a file which contains a complex reflection
spectrum. The algorithm will try to find a grating that has this spectrum.

Segments

The grating length is divided into this number of segments. Each segment has a
constant coupling coeffiecient

Over Sample

Over Sample is used in the reconstruction ofthe truncated impulse response.
Accuracy is sometimes improved by using finer steps in the spectrum.

Causality

Clicking on this button will display the impulse response calculated from the spectrum
the user has defined.

Clicking on Causality will show the following screen:

Optical Grating - View 2D Graph dialog box

  • Because of causality, any real impulse response must be zero for negative
    arguements.

Note: You can experiment with various delays by entering other numbers in the
Linear Phase Shift field, and clicking the Impulse Response to see the result.

Start

Clicking on start begins the reconstruction. A progress bar indicates the progress of
the layer peeling algorithm. When this process finishes, the reconstructed grating
profile is used to generate the spectrum of the new grating. A second progress bar
displays the progress of the calculation of the spectrum