Root Sum Square Approximation Of Source Aperture Convolved With Decollimation

Michael A. Levine

doi:10.1117/12.939861

20 September 1987 Root Sum Square Approximation Of Source Aperture Convolved With Decollimation

Michael A. Levine

Proceedings Volume 0750, Infrared Systems and Components; (1987) https://doi.org/10.1117/12.939861
Event: OE LASE'87 and EO Imaging Symposium, 1987, Los Angeles, CA, United States

Abstract

The image of a circular source aperture is convolved with a Gaussian representing the random errors in the optics. The convolution is Fourier transformed. The transform of the aperture image is approximated as a Gaussian. The approximation introduces little error into the inverse Fourier transform which returns the convolution to real space. Thus, the spot diameter is given by: (Total Random and b = Image Decoll 4a )1a² + b² where a = Decoll 4σ Diam ) ' where a is the characteristic radius of the Gaussian and 4o is the diameter which encloses 86.5% of the incident light flux. The approximation introduces less than 2% error in the (4σ) total decollimation. The approximation is generalized to include diffraction effects due to the diameter of the optics.

Citation Download Citation

Michael A. Levine "Root Sum Square Approximation Of Source Aperture Convolved With Decollimation", Proc. SPIE 0750, Infrared Systems and Components, (20 September 1987); https://doi.org/10.1117/12.939861

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