Figure 7 - uploaded by Hussain S. Hasan

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# Analytic focal length (f) as a function rotation angle.

Source publication

In this study, a modulating model for solenoid magnetic field was presented. This model describes the on axis field through its hard edginess parameter as well as its axial half of half width at half peak field. The modulating model indicates to increasing the spherical aberration at the fields from real soft boundary to hard boundary modulating mo...

## Contexts in source publication

**Context 1**

... is worth to mention, the spherical aberration increases highly with order n, figure 3, while decreasing inversely with square of half-half width of solenoid field, see figure 4. The result of equations (8), and (9) plotted in figures 5, and 6. We have observed from figure 5, the P increasing linearly with increasing the half-half width a, while f of a thin lens decreases inversely with half-half width a, figure 6, as well as result equation (12) illustrated in figure 7, its noticeable that the value of f is weakest when the rotation angle increases. 1530 (2020) 012151 IOP Publishing doi:10.1088/1742-6596/1530/1/012151 ...

**Context 2**

... is worth to mention, the spherical aberration increases highly with order n, figure 3, while decreasing inversely with square of half-half width of solenoid field, see figure 4. The result of equations (8), and (9) plotted in figures 5, and 6. We have observed from figure 5, the P increasing linearly with increasing the half-half width a, while f of a thin lens decreases inversely with half-half width a, figure 6, as well as result equation (12) illustrated in figure 7, its noticeable that the value of f is weakest when the rotation angle increases. 1530 (2020) 012151 IOP Publishing doi:10.1088/1742-6596/1530/1/012151 ...

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