Iterative technique for generating numerical on-axis holograms of an object on tilted planes using Rayleigh-Sommerfeld approximation

Author(s):  
Roberto Antonio Cuellar Lozano ◽  
Jorge Enrique Rueda P

We present a new iterative technique based on successive field propagation using the Reyleigh-Sommerfeld (RS) approximation, to generate by computer the amplitude on-axis hologram of an object on a tilted plane. The technique was  validated doing optical and computational reconstruction of the hologram.

2001 ◽  
Vol 21 (1) ◽  
pp. 73-84 ◽  
Author(s):  
A. Gharsallah ◽  
A. Gharbi ◽  
H. Baudrand

2000 ◽  
Vol 32 (11) ◽  
pp. 1931-1938 ◽  
Author(s):  
Stefania Bortoluzzi ◽  
Fabio d»Alessi ◽  
Gian Antonio Danieli

2002 ◽  
Vol 9 (2) ◽  
pp. 287-294
Author(s):  
Tadeusz Jankowski

Abstract The method of lower and upper solutions combined with the monotone iterative technique is used for ordinary differential equations with nonlinear boundary conditions. Some existence results are formulated for such problems.


Author(s):  
Chen Cao ◽  
Jingni He ◽  
Lauren Mak ◽  
Deshan Perera ◽  
Devin Kwok ◽  
...  

Abstract DNA sequencing technologies provide unprecedented opportunities to analyze within-host evolution of microorganism populations. Often, within-host populations are analyzed via pooled sequencing of the population, which contains multiple individuals or “haplotypes.” However, current next-generation sequencing instruments, in conjunction with single-molecule barcoded linked-reads, cannot distinguish long haplotypes directly. Computational reconstruction of haplotypes from pooled sequencing has been attempted in virology, bacterial genomics, metagenomics, and human genetics, using algorithms based on either cross-host genetic sharing or within-host genomic reads. Here, we describe PoolHapX, a flexible computational approach that integrates information from both genetic sharing and genomic sequencing. We demonstrated that PoolHapX outperforms state-of-the-art tools tailored to specific organismal systems, and is robust to within-host evolution. Importantly, together with barcoded linked-reads, PoolHapX can infer whole-chromosome-scale haplotypes from 50 pools each containing 12 different haplotypes. By analyzing real data, we uncovered dynamic variations in the evolutionary processes of within-patient HIV populations previously unobserved in single position-based analysis.


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