A three-row scan varies wavelength and frequency together (linked by c = lambda * f) while holding the rest of the polarization relation fixed, showing how the wave scale moves through the ledger. The arithmetic is exact only for the stated rows and inputs in the ideal polarization model. Real beams add finite bandwidth, imperfect polarization, alignment error, detector calibration, and measurement uncertainty.
Three exact wavelength-frequency pairs show the inverse relation at fixed speed. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
Short wavelength needs high frequency
At wavelength 1 metre, the frequency must be 6 hertz to keep speed 6 metres per second.
c=λf=1m⋅6Hz=6m/s
Doubling wavelength halves the frequency
Wavelength 2 metres pairs with frequency 3 hertz. The product stays at the same speed.
λf=2m⋅3Hz=6m/s
Longer wavelength lowers frequency again
The third wavelength is 3 metres and the matching frequency is 2 hertz. The inverse pair is now visible across three rows.