N. Imoto, QUANTUM EFFECTS OF SPATIAL TEMPORAL MODULATION OF THE OPTICAL-FIELD/, Materials science & engineering. B, Solid-state materials for advanced technology, 48(1-2), 1997, pp. 34-38
The quantum effects of temporal modulation and spatial confinement of
optical field are theoretically analyzed using the continuous mode for
malism. The effect of modulation is different from static attenuation
regardless of whether the modulation bandwidth is broader or narrower
than the photon bandwidth. This effect appears not only in single-phot
on interferometry but also in multi-photon interferometry, and shows t
he fundamental difference between deep modulation and static attenuati
on of the wave function. The effect of spatial confinement of photons
in a cavity appears as an anomalous mode commutator inside the cavity,
which is related to the spontaneous emission modulation, The canonica
l field commutator is guaranteed only when the Kramers-Kronig relation
s for the optical elements are properly incorporated. (C) 1997 Elsevie
r Science S.A.