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In this work, we study optical self-focusing that leads to collapse events for the time-independent model of co-propagating beams with different wavelengths. We show that collapse events depend on the combined critical power of two beams for both fundamental, vortex and mixed configurations as well as on the ratio of their individual powers

The propagation of high intensity nanosecond UV pulses in air is investigated theoretically and numerically. The stability of localized fundamental and vortex stationary solutions, obtained via Newton’s iterations, are analyzed. Numerical propagation results are provided to corroborate the predicted instabilities of the filament and vortex beams.

In this work we first present analytical results showing the co-existence of intense infra-red, ultra-violet stationary filaments. Their existence is reminiscent of the universal scaling properties of the Townes soliton. We study different configurations and their propagation properties in a simplified time-independent model.

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