Abstract
Resolution capability of any optical imaging system is limited by residual aberrations as well as diffraction effects. Overcoming this fundamental limit is called super-resolution. Several new paradigms for super-resolution in optical systems use ‘a posteriori’ digital image processing. In these ventures the three-dimensional point spread function (PSF) of the lens plays a key role in image acquisition. A straightforward tailoring of the PSF can be performed by appropriate pupil plane filtering. With a brief review of the state-of-art in this research area, this paper dwells upon the inverse problem of global optimization of the pupil function by phase filtering in accordance with the desired PSF.
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References
M Born and E Wolf, Principles of optics (Pegramon, Oxford, 1980)
M Gu, Advanced optical imaging theory (Springer-Verlag, Berlin, 1999)
J W Goodman, Introduction to Fourier optics, 2nd edn (McGraw-Hill, Singapore, 1996)
M A Paesler and P J Moyer, Near-field optics: Theory, introduction, and applications (John Wiley, New York, 1996)
T Wilson and C J R Sheppard, Theory and practice of scanning optical microscopy (Academic, London, 1984)
M G L Gustafsson, PNAS 102(37), 13081 (2005)
P Jacquinot and B Rozien-Dossier, lsApodisation’ in progress in optics edited by E Wolf (North-Holland, Amsterdam, 1964) 3rd edition
M De, L N Hazra and P Sengupta, Opt. Acta 22, 125 (1975)
L N Hazra, Opt. Commun. 21(2), 232 (1977)
G Toraldo di Francia, Atti Fond. Giorgio Ronchi. 7, 366 (1952)
A Boivin, Théorie el Calcul des Figs de Diffraction de Révolution (Université de Laval, Quebec, 1964)
C J R Sheppard and Z S Hegedus, J. Opt. Soc. Am. A5, 643 (1988)
M M Corral, P Andrés and J Ojeda-Castaneda, Appl. Opt. 33(11), 2223, (1994)
M Martínez-Corral, P Andrés, J Ojeda-Castañeda and G Saavedra, Opt. Commun. 119, 491 (1995)
T R M Sales and G M Morris, J. Opt. Soc. Am. A14(7), 1637 (1997)
T R M Sales and G M Morris, Opt. Commun. 156, 227 (1998)
C J R Sheppard, M D Sharma and A Arbouet, Optik 111, 347 (2000)
M Martínez-Corral, M T Caballero, E H K Stelzer and J Swoger, Opt. Express 10(1), 98 (2002)
M P Cagigal, J E Oti, V F Canals and P J Valle, Opt. Commun. 241, 249 (2004)
S Ledesma, J Campos, J C Escalera and M J Yzuel, Opt. Lett. 29(9), 932 (2004)
H Luo and C Zhou, Appl. Opt. 43(34), 6242 (2004)
M Yun, L Liu, J Sun and D Liu, J. Opt. Soc. Am. A22, 272 (2005)
S Ledesma, J C Escalera, J Campos and M J Yzuel, Opt. Commun. 249, 183 (2005)
X Liu, L Liu, D Liu and L Bai, Optik 117, 453 (2006)
L N Hazra, MICRON 38, 129 (2007)
P V Valle, J E Oli, V F Canales and M P Cagigal, Opt. Commun. 272, 325 (2007)
C J R Sheppard, J Campos, J C Escalera and S Ledesma, Opt. Commun. 281, 913 (2008)
C J R Sheppard, J Campos, J C Escalera and S Ledesma, Opt. Commun. 281, 3623 (2008)
T G Jabbour, M Petrovich and S M Kuebler, Opt. Commun. 281, 2002 (2008)
L Liu and G Wang, Optik 119, 481 (2008)
Y Tan, R Guo, S Xiao, G Chang and W Huang, J. Laser Micro/Nanoengineering 1, 281 (2006)
L N Hazra, Appl. Opt. 27, 3464 (1988)
W T Welford, Aberration of optical systems (Academic, London, 1986)
I Rechenberg, Evolutionsstrategie: Optimeirung Technischer System nach Prinzipien der Biologischen Evolution (Frommen-Holzboog Verlag, Stuttgart, 1943)
D E Goldberg, Genetic algorithm in search, optimization and machine learning (Addison-Wesley, Reading, 1989)
S Banerjee and L N Hazra, J. Mod. Opt. 49,7, 1111 (2002)
L N Hazra and N Reza, Proc. SPIE 7787, 77870D–1 (2010)
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Hazra, L.N., Reza, N. Super-resolution by pupil plane phase filtering. Pramana - J Phys 75, 855–867 (2010). https://doi.org/10.1007/s12043-010-0167-8
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DOI: https://doi.org/10.1007/s12043-010-0167-8