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We consider a cavity with plane mirrors filled by a resonant two-level medium and driven by an external coherent field. A global description of transverse pattern formation that includes the effect of the quasi-neutral mode is given. In that regime, cavity localized structures are formed. They are characterized by oscillatory tails. Two or more cavity localized structures interact through their overlapping tails when they are close one to another. The interaction potential between cavity localized structures in terms of a modified Bessel function is derived. Using this result, it is possible to calculate the critical distance between cavity localized structures beyond which the interaction becomes negligible.
This spatial confinement of light in plane orthogonal to beam axis may have a variety of applications. Therefore, the stability of cavity localized structures is central question, and a sources of instabilities must be carefully scrutinized. We show that there exist a critical value of the input field intensity above which cavity localized structures are unstable with respect to curvature instability. For appropriate value of parameters, the cavity localized structure exhibits an elliptical deformation and splitting. |
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