| Storage ring and source |
| γ |
1 |
Equation (1)
|
Relativistic parameter: energy of electrons relative to their rest mass |
| κ |
1 |
Equation (1)
|
Undulator parameter |
|
j
|
1 |
Equation (1)
|
Integer number describing the harmonic of the undulator radiation |
|
m |
§2.1
|
Undulator period |
| θ |
rad |
§2.1
|
Angle measured relative to optical axis |
|
E
|
eV |
|
Energy of X-rays |
| λ |
m |
§2.1
|
Wavelength of X-rays |
 = 
|
|
§2.1
|
Wavenumber of X-rays |
|
rad |
Equation (1)
|
r.m.s. divergence of the single-electron emission cone (intensity) |
| σ |
m |
Equation (2)
|
r.m.s. diffraction-limited source size (intensity) as a result of limited divergence
|
|
m |
Equation (3)
|
Horizontal and vertical r.m.s. lateral size of the distribution of electrons in the undulator |
|
rad |
Equation (3)
|
Horizontal and vertical r.m.s. lateral divergence of the distribution of electrons in the undulator |
|
m rad |
§2.1
|
Horizontal and vertical emittance |
|
m |
Equation (8)
|
Horizontal and vertical r.m.s. lateral source size in undulator |
|
rad |
Equation (12)
|
Horizontal and vertical r.m.s. beam divergence in undulator |
|
m |
Equation (7)
|
Horizontal and vertical r.m.s. coherence length in the source |
|
[intensity] |
Equation (4)
|
Mutual intensity function in the source plane |
|
[intensity]1/2
|
Equation (5)
|
Horizontal and vertical factor of mutual intensity function in the source plane |
| |
| Beam properties before the nanofocusing optic and properties of the nanofocusing optic |
|
m |
§2.2
|
Source-to-optic distance |
|
m |
Equation (11)
|
Horizontal and vertical effective source-to-optic distance |
|
[intensity] |
Equation (9)
|
Mutual intensity just before the nanofocusing optic |
|
|
Equation (10)
|
Horizontal and vertical factor of mutual intensity just before the nanofocusing optic |
|
m |
Equation (12)
|
Horizontal and vertical r.m.s. beam size (intensity) just before the nanofocusing optic |
|
m |
Equation (13)
|
Horizontal and vertical lateral coherence length just before the nanofocusing optic |
|
m |
Equation (14)
|
Focal length of the nanofocusing optic |
|
1 |
Equation (14)
|
Complex transmission function of the nanofocusing optic |
|
1 |
Equation (15)
|
Transmission of refractive lens on the optical axis |
|
m |
Equation (16)
|
Effective aperture of the refractive lens |
| |
| Beam properties of caustic |
|
m |
§2.4
|
Arbitrary distance behind the nanofocusing optic |
|
[intensity] |
Equation (17)
|
Mutual intensity at distance behind the nanofocusing optic |
|
[intensity]1/2
|
Equation (18)
|
Horizontal and vertical factor of mutual intensity at distance behind the nanofocusing optic |
|
m |
§2.4
|
Horizontal and vertical r.m.s. beam size at a distance behind the nanofocusing optic |
|
m−1
|
Equation (19)
|
Horizontal and vertical defocus at distance behind the nanofocusing optic |
|
m |
Equation (20)
|
Horizontal and vertical effective aperture corrected for Gaussian illumination |
|
m |
§2.4
|
Horizontal and vertical wavefront curvature at distance behind the nanofocusing optic |
|
m |
§2.4
|
Horizontal and vertical r.m.s. lateral coherence length at distance behind the nanofocusing optic |
|
[intensity] |
Equation (29)
|
Maximal intensity at distance behind the nanofocusing optic |
|
T
|
1 |
§2.4
|
Transmission of nanoprobe |
|
1 |
Equation (28)
|
Horizontal and vertical factor of transmission |
|
1 |
§4
|
Transmission for optimal diffraction-limited focusing |
|
1 |
Equation (32)
|
Horizontal and vertical factor of transmission for optimal diffraction-limited focusing |
| |
| Nanobeam properties |
|
m |
Equation (21)
|
Horizontal and vertical position of nanofocus |
|
m |
Equation (22)
|
Horizontal and vertical FWHM beam size in nanofocus |
|
m |
Equation (23)
|
Horizontal and vertical FWHM size of Airy disc |
|
m |
§2.4
|
FWHM size of Airy disc of homogeneously illuminated refractive lens |
|
1 |
Equation (23)
|
Horizontal and vertical effective numerical aperture of the nanoprobe |
|
m |
§2.4
|
Horizontal and vertical FWHM effective geometric beam size |
|
m |
Equation (24)
|
Horizontal and vertical FWHM coherence length in nanofocus |
