Calculation of scattered fields from the circular aperture on a perfect electric conductor surface

Boundary Diffraction Wave Theory (BDWT) is frequently used in solving Electromagnetic and Optical diffraction problems. However, since BDW Theory only offers solutions for opaque surfaces without reflection, it has become necessary to develop the theory to solve the problems with reflective surfaces. It has been provided to bring a solution for problems with perfect electric/magnetic conductors (PEC/PMC) or impedance surfaces, so the reflection is with the Extended Theory of Boundary Diffraction Wave (ETBDW) method developed as a result of this. In addition, it has made it possible to analyze the results by evaluating them with different variations, to determine the differences between the surfaces with reflections and the surfaces where there are no reflections, and to interpret the results. In this study, using the Extended Theory of Boundary Diffraction Wave approach, which emerged with the development of the BDW Theory, the calculation of scattered fields from a circular aperture on perfect electric conductor (PEC) surfaces was investigated. Initially, the symbolic expression of the vector potential introduced by Miyamoto and Wolf was used in the Extended Theory of BDW integral, which is extended for the perfect conductive and impedance surfaces with reflection. This expression was applied to the problem and the non-uniform field expression found was made uniform with the help of the asymptotic association of the Fresnel function, using the Detour parameter. With the Theory of BDW which examines this problem for similarly diffracted and scattered fields on opaque surfaces, was compared graphically with the results and scattered fields expanded with Extended Theory of BDW for perfectly electric conductive (PEC) surfaces. As a result, the uniform scattered fields are calculated and the expressions of the field obtained were interpreted by evaluating them with the graphs obtained numerically for different aperture radii and observation distances. Thus, the expressions of uniform scattered fields from a circular aperture on perfect electric conductor (PEC) surfaces was calculated with using the Extended Theory of BDW approach and a simulation-based software program.