MODAL COMPOSITION OF RADIATION EXCITED BY LOCALIZED SOURCES WITH PARABOLIC REFRACTIVE INDEX PROFILE

A. B. Valyaev, I. N. Sisakyan

Abstract:

Modal composition is studied for a waveguide with parabolic refractive index profile through the known directivity diagram of a localized source. Conditions have been determined under which the angular distribution of the localized source field is describable by a decomposition in terms of coherent states. Explicit expressions have been found for the coefficients of waveguide mode excitation, and for the case of non-directed sources a recursive relation was determined for their calculation. The mode composition of a dipole source is shown to be basically dependent on its position with respect to the waveguide axis. It is also demonstrated that, even in the case of a non-directed radiator, selective excitation of individual groups of waveguide modes is feasible.

References:

- V. A. Eliseevnin.
*Akust. Zhurn.*27, 228 (1981). - V. A. Eliseevnin.
*Akust. Zhurn.*29, 44 (1983). - Yu. A. Kravtsov and V. M. Kuz'kin.
*Akust. Zhurn.*31, 207 (1985). - S. G. Krivoshlykov and I. N. Sisakyan.
*Kvant Elekr.*7, 553 (1980).

- I. A. Malkin and V. I. Man'ко.
*Dynamical Symmetry and Coherent States in Quantum Theory.*Nauka, Moscow (1979).

- L. M. Brekjhovskikh.
*Waves in Layered Media.*Nauka, Moscow (1973).

- A. V. Gurevich and E. E. Tsedilina.
*Ultra Long-range Propagation of Short Radiowaves.*Nauka, Moscow (1979).

- В. Е. Kinber. In:
*Inverse Problem in Scattering Theory and the Theory of Statistical Irregular Channels,*pp. 142-225. IRE AN SSSR, Moscow (1979).

- S. G. Krivoshlykov and I. N. Sisakyan.
*ZhTEF*88, 342 (1985).

- A. B. Valyaev, S. G. Krivoshlykov and I. N. Sisakyan. Preprint No. 125, IOFAN (1985).

**© 2009, IPSI RAS**

151, Molodogvardeiskaya str., Samara, 443001, Russia; E-mail: ko@smr.ru ; Tel: +7 (846) 242-41-24 (Executive secretary), +7 (846)
332-56-22 (Issuing editor), Fax: +7 (846) 332-56-20