Jitter (optics)

In optics, jitter is used to refer to motion that has high temporal frequency relative to the integration/exposure time. This may result from vibration in an assembly or from the unstable hand of a photographer. Jitter is typically differentiated from smear, which has a lower frequency relative to the integration time.[1] Whereas smear refers to a relatively constant rate during the integration/exposure time, jitter refers to a relatively sinusoidal motion during the integration/exposure time.

The equation for the optical Modulation transfer function associated with jitter is

MTF_{jitter}(k) =e^{-\frac {1} {2} k^2\sigma^2}

where k is the spatial frequency and \sigma is the amplitude of the jitter.[2] Note that this frequency is in radians of phase per cycle. The equivalent expression in Hz is

MTF_{jitter}(u) =e^{-2 \pi^2 u^2\sigma^2}

where u is the spatial frequency and \sigma is again the amplitude of the jitter.

References

  1. ^ Encyclopedia of optical engineering at Google Books
  2. ^ Johnson, Jerris F. (10 November 1993). "Modeling imager deterministic and statistical modulation transfer functions". Applied Optics 32 (32): 6503. doi:10.1364/AO.32.006503. http://www.opticsinfobase.org/abstract.cfm?id=40363.