Karhunen–Loeve functions for non-Kolmogorov turbulence

ABSTRACT

Karhunen–Loeve functions for the case of non-Kolmogorov turbulence are calculated. The calculations are performed using the covariance matrix of Zernike coefficients which is derived in analytical form. It is shown that the Karhunen–Loeve expansion is more efficient than the Zernike one for simulations of high-order, turbulence-induced phase distortions.

KEYWORDS:

• Non-Kolmogorov turbulence
• Karhunen-Loeve functions
• Zernike expansion

Acknowledgements

The speckle interferometry program at the OAN telescopes is supported by the Direccion General de Asuntos del Personal Academico (UNAM, México) under the projects IN102514.

Disclosure statement

We have no conflict of interest to declare.

Additional information

Funding

Direccion General de Asuntos del Personal Academico (UNAM, México) [project number IN102514].