Noncollinear rotational Doppler effect

Alexander Ya. Bekshaev; Andrey Yurievich Popov

doi:10.1117/12.558759

4 June 2004 Noncollinear rotational Doppler effect

Alexander Ya. Bekshaev, Andrey Yurievich Popov

Proceedings Volume 5477, Sixth International Conference on Correlation Optics; (2004) https://doi.org/10.1117/12.558759
Event: Sixth International Conference on Correlation Optics, 2003, Chernivsti, Ukraine

Abstract

The frequency shift of a helical light beam experiencing the rotation near the axis differing from its own axis (conical evolution) is studied theoretically. Both the energy and the kinematic approaches lead to a paradoxical conclusion that after a whole cycle of the system rotation the beam does not return to its initial state. Another paradox is manifested in the peculiar behavior of the beam transverse pattern rotation at different geometric parameters of the evolving system. A fundamental role of the detecting system motion is substantiated. The special "natural" observer's motion is found for which both paradoxes are eliminated. Relations of the described facts with the Hannay's geometric phase concept are discussed.

Citation Download Citation

Alexander Ya. Bekshaev and Andrey Yurievich Popov "Noncollinear rotational Doppler effect", Proc. SPIE 5477, Sixth International Conference on Correlation Optics, (4 June 2004); https://doi.org/10.1117/12.558759

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