Extreme spin-orbit coupling in Hermite-Gaussian beams in a uniaxial crystal

Transformation of the spin and orbital angular momentum of Hermite-Gaussian beams of a complex and real argument propagating through a uniaxial crystal is considered. We revealed that the spin and orbital angular momentum of the complex argument HG beam experience a sharp splashes whereas such an intense conversion process is not inherent in a real argument HG beams. The reasons and conditions of the resonance effect are brought to light.