Holography with partially coherent illumination

Some Effects of Spatial and Temporal Coherence in Holography

“…The mutual coherence function F 0 (6 1 , x) in equation (6) defines the spatial coherence of a certain point x in the hologram plane which is due to the interference between the wave in each point of the reference plane beam and the wave at all points on the object. This interference pattern s(x) of equation (6) becomes the amplitude transmittance of the hologram by properly controlling the developing process of a photographic plate.…”

“…Let us examine only the third term in equation (5), since it is this term that produces the real image of the object on the reconstructing process. Integration of this term with respect to 2 yields: (6) where equations (3) and (4) have been inserted into the third term of equation (5) and the shifting property of a delta function has been used on the integration performed. The mutual coherence function F 0 (6 1 , x) in equation (6) defines the spatial coherence of a certain point x in the hologram plane which is due to the interference between the wave in each point of the reference plane beam and the wave at all points on the object.…”

“…Integration of this term with respect to 2 yields: (6) where equations (3) and (4) have been inserted into the third term of equation (5) and the shifting property of a delta function has been used on the integration performed. The mutual coherence function F 0 (6 1 , x) in equation (6) defines the spatial coherence of a certain point x in the hologram plane which is due to the interference between the wave in each point of the reference plane beam and the wave at all points on the object. This interference pattern s(x) of equation (6) becomes the amplitude transmittance of the hologram by properly controlling the developing process of a photographic plate.…”

“…In order to clearly understand the requirements for light sources used in holography, we should investigate the role of spatial and temporal coherence in holographic processes. The spatial coherence of two-beam holography has been already studied from various respects by Lurie [1,2], Bertolotti et al [3], Weingiirtner et al [4][5][6], and Murata et al [7], while the temporal coherence has been taken into considerations in two-beam holography by Mandel [8], Kosourov et al [9] and Aleksoff [10]. Each study of those authors has been limited to a certain special region, so further investigations on the effects of spatial and temporal coherence in holography are to be expected.…”

Experimental Study on Coherence Time of a Light Field with Single Photon Counting

“…[15] The relationship between the half width of the Gaussian distribution of PTL and the linear velocity of the ground glass and the light spot size on the ground glass was investigated. [16] Due to its easy preparation and manipulation, PTL plays an important role in modern quantum optics experiments, such as ghost imaging, [17−20] coherence studies in holography, [21] and so on. In previous work, we studied the secondorder degree of coherence from pulsed to continuous operation and the photon statistical distribution of PTL, [22,23] but did not discuss the coherence time of the field.…”