How to estimate FD wavefield at receiver position in case of FDFD method? Let's say incident wavefield is u at source position. Pls help & discuss in details.
I think you are asking how to simulate a device to calculate the field at the output using finite-difference frequency-domain (FDFD). If you are not familiar with the FDFD method, here is a link to a book I recently wrote that teaches FDFD to the complete beginner. It covers everything from the simplest concepts all the way up to advanced simulations of 3D and anisotropic devices.
https://empossible.net/fdfdbook/
The key things about the FDFD method are...
1. Representing the device on a grid. This entails building an array, assigning relative permittivity values to each point so that if you plotted the array you would see your device. It also necessary to leave some room around the device for absorbing boundaries and the source.
2. The source -- How do you want to excite your device? The three types of sources covered in the book are plane wave sources, beam sources, and guided-mode sources. You will need to calculate the source and apply it to your device.
3. Run the simulation -- Run the simulation. The FDFD method calculates the field everywhere on the grid. This is great for visualization and no post-processing step is necessary to see the fields.
4. Extract the fields you are interested in -- FDFD calculates the field at every point on the grid. Simply extract the values wherever you are interested in analyzing them. If you are interested in only seeing the scattered fields (source removed), the book teaches a very elegant implementation of the total-field/scattered-field technique where you can simply define some points to be scattered-field quantities. If you extract the field from these points, the source is automatically removed.