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🔥 Content Introduction
In the field of optics, holography has become a key technology in optical imaging, non-destructive testing, and information storage due to its unique ability to “record all information of light waves (amplitude and phase) and reproduce the three-dimensional morphology of objects.” Unlike off-axis holography (where the reference light and object light have a significant angle), inline holography adopts a “coaxial propagation of object light and reference light” optical path structure, which has advantages such as compact system, high field utilization, and no spatial frequency limitations of off-axis interference fringes, making it particularly suitable for imaging studies of small objects (such as biological cells and micro-nano structures).
When using spherical waves as object light or reference light, the recording and reconstruction process of inline holography is closer to practical application scenarios — for example, after the spherical wave emitted by a point light source illuminates an object, the scattered light (object light) interferes with the direct spherical wave (reference light) that is not blocked by the object on the recording plane, forming an inline hologram; during reconstruction, the wavefront is back-propagated through the illuminated hologram to recover the amplitude and phase information of the original object light. The paraxial approximation is a commonly used simplification model for optical propagation analysis, which can significantly reduce the computational complexity of spherical wavefront propagation while ensuring the accuracy required for engineering applications, thus becoming an important bridge connecting theoretical analysis and practical simulation. Therefore, in-depth research on the simulation, reconstruction, and paraxial wavefront propagation of inline holograms based on spherical wave recording is of great significance for promoting the practical application of holography technology.
⛳️ Running Results
📣 Sample Code
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% WAVEFRONT PROPAGATION FOR SPHERICAL WAVES IN PARAXIAL APPROXIMATION
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Citation for this code/algorithm or any of its parts:
% Tatiana Latychevskaia and Hans-Werner Fink
% “Practical algorithms for simulation and reconstruction of digital in-line holograms”,
% Appl. Optics 54, 2424 – 2434 (2015)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% The code is written by Tatiana Latychevskaia, 2002
% The version of Matlab for this code is R2010b
function [p] = PropagatorS(N, lambda, s, z)
delta = 1/s;
p = zeros(N,N);
for ii = 1:N;
for jj = 1:N
u = delta*(ii – N/2 -1);
v = delta*(jj – N/2 -1);
p(ii,jj) = exp(-i*pi*lambda*z*(u^2 + v^2));
end
end;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
🔗 References
[1] Ding Lingyan. Research on Non-spherical Phase Recovery Detection Technology [D]. National University of Defense Technology, 2011. DOI:10.7666/d.d159992.
🎈 Some theoretical references are from online literature; please contact the author for removal if there is any infringement.
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