TY - JOUR
T1 - Closed-Form Expressions for the On-Axis Scattered Fields by a Subwavelength Circular Aperture in an Infinite Conducting Plane
AU - Polycarpou, Anastasis C.
AU - Christou, Marios A.
PY - 2017/2/1
Y1 - 2017/2/1
N2 - Closed-form analytical expressions for the on-axis scattered fields by a subwavelength circular aperture in an infinite perfectly conducting plane were derived using a vector potential formulation and the equivalence principle. The final expressions are valid for the near-field, intermediate-field, and far-field zones. The underlined formulation is based on the equivalent quasi-static magnetic current distributions in the aperture, which were derived by Bethe and Bouwkamp in the mid 40's and early 50's. The resulting scattered-field integrals, which involve the free-space Green's function, were evaluated analytically after introducing Taylor series expansion and using transformations. The final closed-form expressions of the scattered fields are given in terms of a recursion formula. Obtained results based on these closed-form expressions are in excellent agreement with data generated by a numerical integration scheme.
AB - Closed-form analytical expressions for the on-axis scattered fields by a subwavelength circular aperture in an infinite perfectly conducting plane were derived using a vector potential formulation and the equivalence principle. The final expressions are valid for the near-field, intermediate-field, and far-field zones. The underlined formulation is based on the equivalent quasi-static magnetic current distributions in the aperture, which were derived by Bethe and Bouwkamp in the mid 40's and early 50's. The resulting scattered-field integrals, which involve the free-space Green's function, were evaluated analytically after introducing Taylor series expansion and using transformations. The final closed-form expressions of the scattered fields are given in terms of a recursion formula. Obtained results based on these closed-form expressions are in excellent agreement with data generated by a numerical integration scheme.
KW - Electromagnetic scattering
KW - quasi-static aperture model
KW - subwavelength circular aperture
UR - http://www.scopus.com/inward/record.url?scp=85012302312&partnerID=8YFLogxK
U2 - 10.1109/TAP.2016.2634278
DO - 10.1109/TAP.2016.2634278
M3 - Article
AN - SCOPUS:85012302312
SN - 0018-926X
VL - 65
SP - 978
EP - 982
JO - IEEE Transactions on Antennas and Propagation
JF - IEEE Transactions on Antennas and Propagation
IS - 2
M1 - 7762809
ER -