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Abstract

In this paper, the cosinusoidal slot aperture distribution is replaced with a two term approximation. Using this two term approximation, the slot fields are evaluated in closed form and explicit expressions are given in terms of sine and cosine integrals. The two term approximation and the near fields derived therefrom agree closely with the cosinusoidal distribution for slot lengths upto 0.65λ, with an error of less than 3.3% with respect to the numerical results upto 0.05λ from the slot in the near field. The formulation given here is of practical use in estimating mutual coupling in an array or in estimating radiated emissions for Electromagnetic Compatibility (EMC) analysis.

1. Schelkunoff, S. A., Electromagnetic Waves, 369-371, D. Van Nostrand Co., Inc., 1957.

2. Richmond, J. and N. Geary, "Mutual impedance between Mutual impedance between," IEEE Transactions on Antennas and Propagation, Vol. 18, 414-416, May 1970.
doi:10.1109/TAP.1970.1139705

3. Balanis, C. A., "Antenna Theory-Analysis and Design," Ch. 3, Ch. 11, John Wiley & Sons, Inc., 1982.

4. Elliott, R. S., "An improved design procedure for small arrays of shunt slots," IEEE Transactions on Antennas and Propagation, Vol. 31, 48-53, 1983.
doi:10.1109/TAP.1983.1143002

5. Mondal, M. and A. Chakrabarty, "Resonant length calculation and radiation pattern synthesis of logitudinal slot antenna in rectangular waveguide," Progress In Electromagnetics Research Letters, Vol. 3, 187-195, 2008.
doi:10.2528/PIERL08042204

6. Josefsson, L., "Analysis of longitudinal slots in rectangular waveguides," IEEE Transactions on Antennas and Propagation, Vol. 35, 1351-1357, 1987.
doi:10.1109/TAP.1987.1144042

7. Sangster, A. J. and H. Wang, "Moment method analysis of a horizontally polarised omnidirectional slot array antenna," IEE Proc. --- Microw. Antennas Propagt., Vol. 142, No. 1, 1-6, Feb. 1995.
doi:10.1049/ip-map:19951641

8. Stern, G. J. and R. S. Elliot, "Resonant length of longitudinal slots and validity of circuit representation: Theory and experiment," IEEE Transactions on Antennas and Propagation, Vol. 33, 1264-1271, Nov. 1985.
doi:10.1109/TAP.1985.1143509

9. Rengarajan, S. R., "Efficient and accurate evaluation of external mutual coupling between compound broadwall slots," IEEE Transactions on Antennas and Propagation, Vol. 40, No. 6, 734-737, Jun. 1992.
doi:10.1109/8.144611

10. Tai, C. T., "A new interpretation of the integral equation formulation of cylindrical antennas," IRE Transactions on Antennas and Propagation, 125-127, 1955.
doi:10.1109/TAP.1955.1144311

11. Chaney, J. G., "A simple solution to the problem of the cylindrical antenna," IRE Transactions on Antennas and Propagation, 217-221, 1957.
doi:10.1109/TAP.1957.1144491

12. Abramowitz, M. and I. A. Stegun, Handbook of Mathematical Functions, 1972.

13. Koksal, A. and J. F. Kauffman, "Mutual impedance of parallel and perpendicular coplanar surface monopoles," IEEE Trans. Antennas and Propagt., Vol. 39, No. 8, 1251-1256, Aug. 1991.
doi:10.1109/8.97367

14. Department of Defense, United States of America, Requirements for the control of electromagnetic interference characteristics of subsystems and equipment, MIL STD 461F, Department of Defense Interface Standard, Dec. 10, 2007.

Mr. Sandeepak S. Kakatkar

Professor Kamla Prasan Ray