Irradiance variance for convergent Gaussian beams using nondimensional beam parameters

Jennifer C. Ricklin; Walter B. Miller; Larry C. Andrews

doi:10.1117/12.137913

1 August 1992 Irradiance variance for convergent Gaussian beams using nondimensional beam parameters

Jennifer C. Ricklin, Walter B. Miller, Larry C. Andrews

Proceedings Volume 1688, Atmospheric Propagation and Remote Sensing; (1992) https://doi.org/10.1117/12.137913
Event: Aerospace Sensing, 1992, Orlando, FL, United States

Abstract

The longitudinal and radial irradiance variance for a convergent Gaussian beam is examined in terms of two pairs of nondimensional beam parameters, the first pair (Omega) equals (lambda) L/(pi) W_o² and (Omega) _o equals 1 - L/R_o associated with the beam when transmitted, and the second pair given by (Lambda) equals (lambda) L/(pi) W² and (Theta) equals 1 + L/R associated with the received beam. Here, (lambda) is wavelength, L is path length, R_o and R are radii of curvature of the phase front at the transmitter and receiver, respectively, and W_o and W are the beam radii at the transmitter and receiver. With the addition of (lambda) and L, either of these beam parameter pairs completely characterizes the diffractive propagation environment for a lowest- order paraxial Gaussian beam, and is fundamental in the analytic expression of the irradiance variance. Special attention is paid to differences between the perfectly focused beam and the nearly focused beam. We also show that every beam has a convergent counterpart with identical diffractive irradiance behavior at the receiver, but decreased irradiance variance.

Citation Download Citation

Jennifer C. Ricklin, Walter B. Miller, and Larry C. Andrews "Irradiance variance for convergent Gaussian beams using nondimensional beam parameters", Proc. SPIE 1688, Atmospheric Propagation and Remote Sensing, (1 August 1992); https://doi.org/10.1117/12.137913

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