Magnification Scale Scan

Magnification Scale Scan

image length and pixel size both move

Every earlier optical row fixed magnification and scanned tile count; this scan holds sample and pixel count fixed and scans magnification itself. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Every earlier optical row fixed magnification at four

Chapters two and six both kept magnification fixed at 4 and only ever varied the tile count. Here the sample length stays 3 m and pixel count stays 6, but magnification itself changes: at 2, the image length is 6 m.

Limage=3 m⋅2=6 mL_{\text{image}}=3\ \text{m}\cdot2=6\ \text{m}
Low magnificationThe smallest checked magnification gives the smallest image.magnification=2image=6 mpixel_size=1 m

Magnification scales both the image and the pixel size

The sample and pixel count never change across these rows. Magnification alone stretches the image length and, with the same pixel count, the physical size each pixel covers.

magLimagepixel size26 m1 m412 m2 m618 m3 m\begin{array}{c|c|c}\text{mag}&L_{\text{image}}&\text{pixel size}\\2&6\ \text{m}&1\ \text{m}\\4&12\ \text{m}&2\ \text{m}\\6&18\ \text{m}&3\ \text{m}\\\end{array}
Middle magnificationThis middle row is chapter two's own checked example.magnification=4image=12 mpixel_size=2 m

The highest magnification gives the coarsest pixel size

At magnification 6, the image stretches to 18 m and each of the same 6 pixels now covers 3 m of physical sample.

pixel size=18 m6=3 m\text{pixel size}=\frac{18\ \text{m}}{6}=3\ \text{m}
High magnificationThe final row is rendered as the checked highest-magnification case.magnification=6image=18 mpixel_size=3 m