Wigner distribution function for finite signals

Kurt Bernardo Wolf; Natig M. Atakishiyev; Sergey M. Chumakov

doi:10.1117/12.277653

1 July 1997 Wigner distribution function for finite signals

Kurt Bernardo Wolf, Natig M. Atakishiyev, Sergey M. Chumakov

Proceedings Volume 3076, Photonic Quantum Computing; (1997) https://doi.org/10.1117/12.277653
Event: AeroSense '97, 1997, Orlando, FL, United States

Abstract

We construct a bilinear form with the properties of the Wigner distribution function for a model of finite optics: the multimodal linear waveguide. This is a guide that can carry a finite number of oscillator modes, and sends/reads the data by an equal number of sensors. The Wigner distribution function is a function of the classical observables of position and momentum, as well as the mode content; it provides a visual image corresponding to the (`musical') score of the signal. The dynamical group for this model is SU(2) and the wavefunctions span the space of a finite-dimensional irreducible representation of this group. Phase space is a sphere and the linear optical transformations are: translations along the waveguide, refractive wedges and inclined slabs, which correspond to rotations around the 3-, 1-, and 2-axes, respectively. Coherent and Schrodinger cat states are readily identified.

Citation Download Citation

Kurt Bernardo Wolf, Natig M. Atakishiyev, and Sergey M. Chumakov "Wigner distribution function for finite signals", Proc. SPIE 3076, Photonic Quantum Computing, (1 July 1997); https://doi.org/10.1117/12.277653

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available