Enhanced resolution in Fourier incoherent single channel holography (FISCH) with reduced optical path difference

Abstract

Fourier incoherent single channel holography (FISCH) is a method for recording spatially incoherent digital Fourier holograms. We present a general design of enhanced FISCH with a smaller optical path difference between interfering beams, when compared to our initial design [Opt. Lett. 37, 3723 (2012)]. This reduction enables a proper system operation with a wider bandwidth. Potential resolution enhancement of the images reconstructed from the FISCH holograms consequentially follows.

Modified Lagrange invariants and their role in determining transverse and axial imaging resolutions of self-interference incoherent holographic systems

“…It is well-known by now based on [6,18,[26][27][28]] that some SIRH systems, such as FINCH, FISCH and the confocal FINCH, can resolve laterally better than conventional imaging systems having the same numerical aperture and illuminated by the same central wavelength, granted that specific constraints are fulfilled. By the present study, it is now better understood that the reason for this superiority in the lateral resolution arises because FINCH, and similar systems, break a general fundamental law valid for many other classical imaging systems.…”

“…Recently, Lai et al published a paper entirely devoted to the topic of this violation by FINCH [5]. Kelner et al noted that another holographic system, coined Fourier incoherent single channel holography (FISCH), also violates the Lagrange invariant [6]. Following [6], it is now known that two operation principles are common for the systems violating the Lagrange invariant.…”

“…Kelner et al noted that another holographic system, coined Fourier incoherent single channel holography (FISCH), also violates the Lagrange invariant [6]. Following [6], it is now known that two operation principles are common for the systems violating the Lagrange invariant. First, they are incoherent holographic systems.…”

“…Second, in the hologram acquisition process, the wave from each object point is split into two waves which are mutually interfered on the hologram plane. Under these two conditions, several different holographic configurations belong to the family of systems violating the Lagrange invariant [3,[6][7][8][9][10][11][12][13][14][15][16][17][18]. We denote this group of systems, according to their common properties, as the family of self-informative-reference holographic (SIRH) systems.…”

Fast Extended Depth-of-Field Reconstruction for Complex Holograms Using Block Partitioned Entropy Minimization

“…It is different from existing methods such as phase shifting holography (PSH) [3], parallel phase shifting holography (PPSH) [4], geometric phase shifting digital holography (GPSDH) [5], Fresnel incoherent correlation holography (FINCH) [6,7], Fourier incoherent single channel holography (FISCH) [8], and the consumers scanner approach [9] that requires 2-D digital recording devices (e.g., digital camera) to capture the holographic signal, OSH only utilizes a single-pixel sensor. As such, OSH is a unique holographic recording technique and can even be configured to operate in both coherent and incoherent modes.…”