$Combinatorial optical complex wavelet-fractional Fourier transform$

Combinatorial optical complex wavelet-fractional Fourier transform

By using the technique of integration within ordered product of operators, we put forward the combinatorial optical complex wavelet-fractional Fourier transform in the context of quantum optics. The unitary operator for this new transform is found and its normally ordered form is deduced. We apply t...

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Veröffentlicht in:	Journal of the Optical Society of America. A, Optics, image science, and vision Optics, image science, and vision, 2019-07, Vol.36 (7), p.1146-1151
Hauptverfasser:	Lv, Cui-Hong, Tang, Fei-Fei, Shi, Li-Juan
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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Zusammenfassung:	By using the technique of integration within ordered product of operators, we put forward the combinatorial optical complex wavelet-fractional Fourier transform in the context of quantum optics. The unitary operator for this new transform is found and its normally ordered form is deduced. We apply this new transform to the two-mode vacuum state and the two-mode number state and explain that it can be used to analyze and identify various quantum optical states.
ISSN:	1084-7529 1520-8532
DOI:	10.1364/JOSAA.36.001146