An aperture-truncated Gaussian beam with optimized waist matches the transmissivity of the zero-th order PSW mode despite near-field shape differences.
Z ∞ −∞ ψi(t)ψj(t)dt=δ i,j (12) By definition, their Fourier transforms{Ψ k(ω)}form a complete orthonormal set of functions overω∈[−Ω,Ω]
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Optimum-Transmission Free-Space Optical Communications
An aperture-truncated Gaussian beam with optimized waist matches the transmissivity of the zero-th order PSW mode despite near-field shape differences.