We have investigated the dependence of two-point resolution by an aberration-free Gaussian aperture on the real part of the complex degree of coherence. The Sparrow and the modified Rayleigh criteria have been used for the partially coherent optical systems, and a comparison between them has been made. To reveal important information concerning the characteristics of the image, the irradiance distribution from two mutually partially coherent point sources has also been computed.
The authors have studied the self-trapping and self-focusing-defocusing of an elliptically shaped laser beam in a magnetoplasma. The critical self-trapping power of the beam for the ordinary mode is twice the critical power for the extraordinary mode. On both sides of the critical power required for self-trapping, there are separate values of the critical power for the x-dimension as well as for the y-dimension of the beam. At and above the critical value for the x-dimension, the beam defocuses in both directions while at and below the critical value for the y-dimension, it self-focuses in both directions. Self-trapping is also observed in the case of the ordinary mode at a critical value of the external magnetic field for any power value.
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