Generalized phase space representations in classical optics

We give a prescription for defining generalizations of the Wigner function that allow extending the property of conservation along paths to a wider range of problems, including nonparaxial field propagation and pulse propagation within general transparent dispersive media.

[1]  M. Alonso,et al.  Radiometry and wide-angle wave fields III: partial coherence. , 2001, Journal of the Optical Society of America. A, Optics, image science, and vision.

[2]  Miguel A. Alonso,et al.  Radiometry and wide-angle wave fields , 2001 .

[3]  M. Alonso,et al.  Phase space distributions tailored for dispersive media. , 2010, Journal of the Optical Society of America. A, Optics, image science, and vision.

[4]  Seongkeun Cho,et al.  Ambiguity function and phase-space tomography for nonparaxial fields. , 2011, Journal of the Optical Society of America. A, Optics, image science, and vision.

[5]  M. Alonso,et al.  Wigner functions for nonparaxial, arbitrarily polarized electromagnetic wave fields in free space. , 2004, Journal of the Optical Society of America. A, Optics, image science, and vision.

[6]  J. Mayer,et al.  On the Quantum Correction for Thermodynamic Equilibrium , 1947 .

[7]  M. Alonso,et al.  Generalized radiometry model for the propagation of light within anisotropic and chiral media. , 2011, Journal of the Optical Society of America. A, Optics, image science, and vision.

[8]  A. Walther.  Radiometry and coherence , 1968 .

[9]  C. Sheppard,et al.  Wigner function for nonparaxial wave fields. , 2001, Journal of the Optical Society of America. A, Optics, image science, and vision.

[10]  Jonathan C. Petruccelli,et al.  Wigner functions for paraxial and nonparaxial fields , 2009 .

[11]  Propagation of nonparaxial partially coherent fields across interfaces using generalized radiometry. , 2009, Journal of the Optical Society of America. A, Optics, image science, and vision.

[12]  Ray-based propagation of the cross-spectral density. , 2008, Journal of the Optical Society of America. A, Optics, image science, and vision.

[13]  Nicole J. Moore,et al.  Two methods for modeling the propagation of the coherence and polarization properties of nonparaxial fields , 2010 .

[14]  M. Alonso,et al.  Generalized radiometry as a tool for the propagation of partially coherent fields , 2002 .

[15]  Jonathan C Petruccelli,et al.  Propagation of partially coherent fields through planar dielectric boundaries using angle-impact Wigner functions I. Two dimensions. , 2007, Journal of the Optical Society of America. A, Optics, image science, and vision.

[16]  C. Sheppard,et al.  Wigner function for highly convergent three-dimensional wave fields. , 2001, Optics letters.

[17]  Gregory William Forbes,et al.  Wigner functions for Helmholtz wave fields , 1999 .