Fuzzy logic in aperture integration schemes for ray traced fields from cavities

In this novel approach, the exiting field distribution inside the ray tube is not considered constant anymore. In fact the field inside the exiting tube is reshaped to resemble a trapezoidal distribution (fuzzy distribution) and its cross section adjusted by taking into consideration the frequency of the wave, length of travel and the number of reflections that each tube undergoes. Results obtained from studying the backscattering of an offset bend are compared to the conventional ray trace results and that of a more accurate baseline (obtained by a hybrid integral equation approximate modal technique). The gain and loss of accuracy is discussed as a function of field distribution inside the sub-apertures. In the conventional geometrical optics ray tracing scheme the incident field is collimated into tubes of equal cross section at the aperture and traced back to the aperture after bouncing around inside the cavity. The angle and cross section of the exiting tubes depends on the kind of materials used in the construction of the cavity and its configuration. The magnitude of the field upon exiting is obtained by assuming power conservation inside the ray tube which originates and terminates at the aperture. It is also assumed that the magnitude of the field at the exiting sub-aperture is approximately constant within that sub-aperture. The far field is found by integrating the field inside all the exiting sub-apertures and summing them for a given angle.