Degree of paraxiality of cylindrical vector partially coherent Laguerre–Gaussian beams

Degree of paraxiality of a multi-Gaussian beam diffracted by a circular aperture

“…On substituting this field into Eq. ( 6), the angular spectrum of the multi-Gaussian beam without aperture can be calculated as (19) On substituting from Eq. ( 19) into Eq.…”

“…In 2010, GAWHARY and SEVERINI generalized the definition of DOP to make it describe the paraxiality of beams more accurately [17]. Subsequently, the DOP of different beams has been studied, including the Airy beam, the cylindrical vector partially coherent Laguerre-Gaussian beam, the stochastic electromagnetic Gaussian Schell-model beam, and others [18][19][20][21][22][23].…”

Propagation of a Laguerre–Gaussian correlated Schell-model beam beyond the paraxial approximation

“…Many approaches have been developed to treat the propagation of nonparaxial partially coherent beams, such as generalized Rayleigh-Sommerfeld diffraction integrals, Wigner distribution function, angular spectrum representation and the vectorial moment theory [21][22][23][24]. Based on these methods, propagation properties of nonparaxial scalar and vector GSM beams with various beam profiles have been extensively studied in free space [25][26][27][28][29][30][31][32][33][34]. Recently, Zhang et al performed the nonparaxial propagation of a twisted anisotropic Gaussian Schell-model beam based on the generalized RayleighSommerfeld diffraction integral with the help of a tensor method [35], and they also examined the nonparaxial propagation of a partially coherent beam in uniaxial crystals [36].…”