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Figure 2
Schematic drawing of surface y(x) (to be calculated in this paper) across which incident rays in a medium of refractive index n converging to a focus F1 are refracted into rays in a medium of refractive index [n^{\prime}] converging to a new closer focus F2. q1 and q2 are, respectively, the distances of F1 and F2 from the coordinate origin O along the central axis, which is parallel to [{\hat{\bf y}}]. [{\hat{\bf x}}] and [{\hat{\bf y}}] are the coordinate unit vectors. P is an arbitrary point along y(x). [{{\hat{\bf t}}_P}] and [{{\hat{\bf N}}_P}] are, respectively, the unit tangent and the unit inward normal to y(x) at P. [{{\hat{\bf k}}_P}] and [{{\hat{\bf k}^{\,\prime}_P}}] are, respectively, the unit wavevector of the incident ray and the refracted ray passing through P. [{\theta _P}] is the angle of the incident ray to the inward normal at P, and [\theta_P^{\,\prime}] is the angle of the refracted ray to the inward normal at P.

Journal logoJOURNAL OF
SYNCHROTRON
RADIATION
ISSN: 1600-5775
Volume 24| Part 6| November 2017| Pages 1120-1136
https://doi.org/10.1107/S1600577517011808
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