Exploring orthogonally dual polarizations nonplanar circular modes in solid-state lasers: experimental generation and theoretical representation

A transversely isotropic diode-pumped solid-state laser is used to obtain an orthogonally dual-polarization nonplanar circular mode (NCM) under off-axis pumping in the strictly degenerate cavity. Each polarized component of the NCM outside the cavity is revealed to be individually localized on the ray orbits forming a nonplanar surface, in which the transverse patterns display multiple spots well positioned on a circular structure. An analytical representation is established to explore polarization-resolved components of the NCM by utilizing the Gaussian wave packet to directly correlate with geometrical rays. The developed theoretical analysis of the wave-packet behavior is performed to make a comparison with experimental results.