Talbot Imaging + Fractional Talbot
Note :It is preferable to use Talbot orders that are powers of 2 because the FFT
used here is optimal for these values. Otherwise, the Talbot array illuminator is correct
but the simulation of its replay field is not precise.
Diffraction regime :The applet uses the Fresnel transform as defined in the
scalar theory of diffraction.[2].
Diffraction regime :The applet uses the Fresnel transform as defined in the
scalar theory of diffraction.[2].
Types of the TAILs : with respect to the topology of the bright spots.
1. higest compression ratio : All the energy over one period of the TAIL is concentrated on one spot.
This configuration gives the highest compression ratio.
2. chess board : This configuration gives a smaller compression ratio compared to the first one.
The bright spots in the replay field are distributed in form of a chess board. The bight spots do not necessary
touch one another.
3. big pixel chess board : A chess bord configuration with lower
compression ratio.
4. diagonal : The bright spots in the replay field are distributed
in the diagonal direction of the perdiod.
5. half period : 4 bright spots by period spaced by a half period in both directions X and Y.
6. quarter period : 16 bright spots by period spaced by a quarter period in both directions X and Y.
7. one eighth of period : 16 bright spots by period spaced by a quarter period in both directions X and Y.
References :
[1] H. Hamam, "Talbot imaging and unification" Applied Optics 42, 7052-7059 (2003).
[2] J. W. Goodman, "Introduction to Fourier optics", Ed. MacGraw-Hill, 1968.
[3] W. D. Montgomery, "Self-imaging objects of infinite aperture" J. Opt. Soc. Am.
57, 772 - 778 (1967).
[4] K. Patorski, "The self-imaging phenomenon and its applications" Progress in Optics,
E. Wolf, Ed. North- Holland, Amsterdam 27, 1-110 (1989).
[5] H. Hamam, "Simplified linear formulation of diffraction" Optics communications 144, 89-98
(1996).
[6] H. Hamam and J. L. de Bougrenet de la Tocnaye, "Array illuminators using multi-layer binary
phase plates at fractional Talbot planes" Applied Optics. 35, 1820-1826 (1996).
[7] H. Hamam, "Design of Talbot array illuminators" Optics communications 131, 359-370 (1996).
