Radiometry and Coherence

Walther, A.

doi:10.1364/josa.58.001256

Cited by 344 publications

(138 citation statements)

References 5 publications

Supporting

Mentioning

132

Contrasting

Unclassified

Order By: Relevance

“…Walther, who first introduced the Wigner distribution function in the context of optics [119], denoted it as generalized radiance. This implies the interpretation of h ( x, u) as amplitude of a ray passing through the point x and having the direction u [105].…”

Section: The Wigner Distribution Functionmentioning

confidence: 99%

Radiation characteristics of extreme UV and soft X-ray sources

Mey¹

2015

Göttingen Series in X-Ray Physics

View full text Add to dashboard Cite

Section: The Wigner Distribution Functionmentioning

confidence: 99%

Radiation characteristics of extreme UV and soft X-ray sources

Mey¹

2015

Göttingen Series in X-Ray Physics

View full text Add to dashboard Cite

“…Note that the functions W͑z , s͒ do not necessarily exist as ordinary functions for all values of s and for all states. Not only quantum states, but also processes can be fully described by functions on phase space [8,9,11]. The inputoutput transformation (2.1) can be expressed alternatively as a relation between distributions:…”

Section: ͑27͒mentioning

confidence: 99%

Quantum-invariant processes in phase space

Luis

2004

Phys. Rev. A

View full text Add to dashboard Cite

show abstract

“…Since then, the representation has been rediscovered and studied by several authors [3] in the context of optics.…”

Section: General Definition Of Brightnessmentioning

confidence: 99%

“…(1) could be based has been lacking so far. 3 In this paper, we introduce the brightness as a certain Fourier transform of a mutual coherence function of electric fields. The brightness so defined satisfies the same transformation properties as in Gaussian optics and is thus useful in studying the propagation properties of radiation through optical media, taking a full account of the diffraction effects.…”

Section: Introductionmentioning

confidence: 99%

Brightness, coherence and propagation characteristics of synchrotron radiation

Kim

1986

Nuclear Instruments and Methods in Physics Research Section A:

179

View full text Add to dashboard Cite

A formalism is presented by means of which the propagation and imaging characteristics of synchrotron ragiation can be studied, taking into account the effects of diffraction, electron beam emittance, and the transverse and longitudinal extent of the source. An important quantity in this approach is the Wigner distribution of the electric fields, which can be interpreted as a phase-space distribution of photon fl~x. and thus can be identified with the brightness.When integrated over the angular variahles, the brightness becomes the intensity distribution in the spatial variables and when integrated over the spatial variables, it becomes the intensity distribution in angular variables. The brightness so defined transforms through a general optical medium in exactly the same way as in the case of a collection of geometric rays. Finally, the brightness of different electrons adds in a simple way. Optical characteristics of various synchrotron radiation sources -bending magnets, wigglers and undulators, are analyzed using this formalism.

show abstract

Radiometry and Coherence

Cited by 344 publications

References 5 publications

Radiation characteristics of extreme UV and soft X-ray sources

Radiation characteristics of extreme UV and soft X-ray sources

Quantum-invariant processes in phase space

Brightness, coherence and propagation characteristics of synchrotron radiation

Contact Info

Product

Resources

About