## Radiometry and wide-angle wave fields. I. Coherent fields in two dimensions

JOSA A, Vol. 18, Issue 4, pp. 902-909 (2001)

http://dx.doi.org/10.1364/JOSAA.18.000902

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### Abstract

A family of interconnected analogs of the radiance or specific intensity from classical radiometry are defined for coherent monochromatic wave fields. These generalized radiances are explicitly conserved along rays, regardless of wavelength. Unlike several previous definitions, the new forms are suitable for the description of fields propagating in all directions.

© 2001 Optical Society of America

**OCIS Codes**

(030.5620) Coherence and statistical optics : Radiative transfer

(030.5630) Coherence and statistical optics : Radiometry

**Citation**

M. A. Alonso, "Radiometry and wide-angle wave fields. I. Coherent fields in two dimensions," J. Opt. Soc. Am. A **18**, 902-909 (2001)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-4-902

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### References

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- The existence of such a plane for all directions u imposes some extra restrictions on the region of interest. For Eq. (2.6) to be valid for at least one plane normal to each direction u, the region must contain the minimum sphere that intersects all rays that carry some amount of light.
- This result was obtained during a discussion with Greg W. Forbes.
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- See Ref. 2, p. 289.
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- The only reference given here where I is identified with H is Ref. 2, page 302.
- A similar result was presented in R. G. Littlejohn and R. Winston, “Generalized radiance and measurement,” J. Opt. Soc. Am. A 12, 2736–2743 (1995). The treatment presented there, however, was based on Walther’s first generalized radiance. It is therefore limited to forward-propagating fields and leads to results that are not invariant under rotations of the reference frame.
- This function is the Helmholtz analog of the Husimi function from quantum theory. See Ref. 34.
- The localization properties of this function are studied in Ref. 45.

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