TY - JOUR
T1 - Fast method for physical optics propagation of high-numerical-aperture beams
AU - Engelberg, Yaakov M.
AU - Ruschin, Shlomo
PY - 2004/11
Y1 - 2004/11
N2 - A method is presented that expands the scheme of physical optics propagation beyond the Fresnel approximation to include beams that are nonparaxial. The formalism retains most of the calculation advantages of the Fresnel approach; i.e., it is based on a single Fourier transform step. The kernel of the new transformation is no longer separable in Cartesian coordinates; thus the formalism can account for astigmatic coupling effects originating purely from diffraction. The validity limits of the proposed algorithm are explored. Analytical expressions, numerical simulation results, and experimental data are compared.
AB - A method is presented that expands the scheme of physical optics propagation beyond the Fresnel approximation to include beams that are nonparaxial. The formalism retains most of the calculation advantages of the Fresnel approach; i.e., it is based on a single Fourier transform step. The kernel of the new transformation is no longer separable in Cartesian coordinates; thus the formalism can account for astigmatic coupling effects originating purely from diffraction. The validity limits of the proposed algorithm are explored. Analytical expressions, numerical simulation results, and experimental data are compared.
UR - http://www.scopus.com/inward/record.url?scp=8744298279&partnerID=8YFLogxK
U2 - 10.1364/JOSAA.21.002135
DO - 10.1364/JOSAA.21.002135
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AN - SCOPUS:8744298279
SN - 1084-7529
VL - 21
SP - 2135
EP - 2145
JO - Journal of the Optical Society of America A: Optics and Image Science, and Vision
JF - Journal of the Optical Society of America A: Optics and Image Science, and Vision
IS - 11
ER -