code: def update_search_window(self, search_window, x_center, y_center):
          
          self._search_window, self._x_center, self._y_center = search_window, x_center, y_center
docs: update the search area for the lens equation solver
  
          :param search_window: search_window: window size of the image position search with the lens equation solver.
          :param x_center: center of search window
          :param y_center: center of search window
          :return: updated self instances