Vol. 23

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Application of Electromagnetic Reciprocity Principle to the Computation of Signal Coupling to Missile-Like Structures

By Korkut Yegin
Progress In Electromagnetics Research M, Vol. 23, 79-91, 2012


Lorentz Reciprocity principle is often used to describe electrical networks and reception/radiation properties of antennas residing in a linear, time-invariant, and symmetric medium. In its reaction integral form, it is usually conceived as a mathematical tool to prove electromagnetic relations. However, reciprocity, more than a mathematical tool, can be used as a powerful alternative to convert a penetration problem into a radiation one for numerical computations and measurements. We review the reciprocity formulation and show simple steps on how to apply reciprocity to penetration problems. Numerical calculations for a wire probe (antenna) inside missile-like structure are carried out for both radiation and its reciprocity formulated penetration problems, and it is shown numerically that results from both methods are identical. One of the advantages of this indirect formulation is that the radiation properties of the structure can be easily measured contrary to the direct measurement of the penetrated signal inside the structure.


Korkut Yegin, "Application of Electromagnetic Reciprocity Principle to the Computation of Signal Coupling to Missile-Like Structures," Progress In Electromagnetics Research M, Vol. 23, 79-91, 2012.


    1. Jackson, J. D., Classical Electrodynamics, John Wiley & Sons, 1998.

    2. Collin, R. E., Foundations of Microwave Engineering, IEEE, 2001.

    3. Collin, R. E., Field Theory of Guided Waves, IEEE, 1990.

    4. Kraus, J. D. and R. J. Marhefka, Antennas for all Applications, McGraw Hill, 2001.

    5. Carson, J. R., "Reciprocal theorems in radio communication," Proc. IRE, Vol. 17, 952-956, Jun. 1929.

    6. Rumsey, V. H., "Reaction concept in electromagnetic theory," Phys. Rev., Vol. 94, 1483-1491, Jun. 15, 1954.

    7. Cohen, M. H., "Application of the reaction concept to scattering problems," IRE Trans. Antennas Propagat., Vol. 3, 193-199, Oct. 1955.

    8. Richmond, J. H., "A reaction theorem and its application to antenna impedance calculations," IRE Trans. Antennas Propagat., Vol. 9, 515-520, Nov. 1961.

    9. De Hoop, A. T., "Reciprocity, discretization, and the numerical solution of direct and inverse electromagnetic radiation and scattering problems," Proc. IEEE, Vol. 79, 1421-1430, Oct. 1991.

    10. Baum, C. E. and H. N. Kritikos, Electromagnetic Symmetry, Taylor & Francis, 1995.

    11. Yegin, K., "Optimization of wire antennas via genetic algorithms and simplified real frequency technique, and penetration through apertures in axi-symmetric structures,", Ph.D. dissertation, Clemson University 1999.

    12. Yegin, K., "Weak penetration and radiation through apertures in conducting bodies of revolution," Turk J. Elec. Eng. & Comp. Sci., Vol. 17, 231-239, 2009.

    13. Andreasen, M. G., "Scattering from bodies of revolution," IEEE Trans. Antennas Propagat., Vol. 13, 303-310, Mar. 1965.

    14. Mautz, J. R. and R. F. Harrington, "Radiation and scattering from bodies of revolution," Appl. Sci. Res., Vol. 20, 405-435, Jul. 1969.

    15. Glisson, A. W. and D. R. Wilton, "Simple and effcient numerical techniques for treating bodies of revolution,", Tech. Rep., Vol. 105, Engineering Experiment Station, Univ. Mississippi, 1982.

    16. Harrington, R. F., Time Harmonic Electromagnetic Fields, McGraw Hill, New York, 1961.