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Higher-order moments of the Wigner distribution function in first-order optical systems

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Abstract

For higher-order moment matrices of a light distribution, combinations of moment matrices and the antisymmetric J matrix can be found for each order such that these combinations satisfy a similarity transformation at propagation through first-order optical systems. The similarity transformations for higher-order moment matrices of a light distribution are identified, and some properties of their invariant eigenvalues are discussed.

© 1994 Optical Society of America

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