Computational methods in vectorial imaging

References

• Zernike , F . 1942 . Physica , 9 : 686 – 698 .
   Google Scholar
• Zernike , F . 1942 . Physica , 9 : 974 – 986 .
   Google Scholar
• Herman , S . 1998 . Fluorescence Microscopy , 2nd , New York : Taylor & Francis .
   Google Scholar
• Boustany , NN , Boppart , SA and Backman , V . 2010 . Annu. Rev. Biomed. Eng. , 12 : 285 – 314 .
   PubMed Web of Science ®Google Scholar
• Wolf , E . 1959 . Proc. Roy. Soc. London A , 253 : 349 – 357 .
   Web of Science ®Google Scholar
• Richards , B and Wolf , E . 1959 . Trans. Opt. Inst. Pet. , 253 : 358 – 379 .
   Google Scholar
• Brooker , G . 2003 . Modern Classical Optics , Oxford : Oxford University Press .
   Google Scholar
• Waluschka , E . 1989 . Opt. Eng. , 28 : 86 – 89 .
   Web of Science ®Google Scholar
• McGuire , JP Jr and Chipman , RA . 1990 . J. Opt. Soc. Am. A , 7 : 1614 – 1626 .
   Google Scholar
• Jones , RC . 1941 . J. Opt. Soc. Am. , 31 : 488 – 493 .
   Google Scholar
• Jones , RC . 1941 . J. Opt. Soc. Am. , 31 : 493 – 499 .
   Google Scholar
• Jones , RC . 1941 . J. Opt. Soc. Am. , 31 : 500 – 503 .
   Google Scholar
• Jones , RC . 1942 . J. Opt. Soc. Am. , 32 : 486 – 493 .
   Google Scholar
• Jones , RC . 1947 . J. Opt. Soc. Am. , 37 : 107 – 110 .
   Web of Science ®Google Scholar
• Jones , RC . 1947 . J. Opt. Soc. Am. , 37 : 110 – 112 .
   Web of Science ®Google Scholar
• Jones , RC . 1948 . J. Opt. Soc. Am. , 38 : 110 – 112 .
   Google Scholar
• Jones , RC . 1956 . J. Opt. Soc. Am. , 46 : 126 – 131 .
   Web of Science ®Google Scholar
• Török , P , Varga , P , Laczik , Z and Booker , GR . 1995 . J. Opt. Soc. Am. A , 12 : 325 – 332 .
   Google Scholar
• Török , P , Varga , P and Booker , GR . 1995 . J. Opt. Soc. Am. A , 12 : 2136 – 2144 .
   Google Scholar
• Higdon , PD , Török , P and Wilson , T . 1998 . J. Micros. , 193 : 127 – 141 .
   Web of Science ®Google Scholar
• Inoué , S . 1952 . Exp. Cell. Bio. , 3 : 199 – 208 .
   Google Scholar
• Kubota , H and Inoué , S . 1959 . J. Opt. Soc. Am , 49 : 191 – 198 .
   PubMed Web of Science ®Google Scholar
• Török , P , Higdon , PD and Wilson , T . 1998 . Opt. Commun. , 148 : 300 – 315 .
   Web of Science ®Google Scholar
• Török , P and Varga , P . 1997 . Appl. Opt. , 36 : 2305 – 2312 .
   PubMed Web of Science ®Google Scholar
• Török, P. An Imaging Theory for Advanced, High Numerical Aperture Optical Microscopes. DSc Thesis, 2003.
   Google Scholar
• Born, M.; Wolf, E. Principles of Optics, 7th ed.; Cambridge University Press, Cambridge, 1980
   Google Scholar
• Hardy , A and Treves , D . 1973 . J. Opt. Soc. Am. , 63 : 85 – 90 .
   Web of Science ®Google Scholar
• Chipman , RA and Stacy , JE . 1983 . COSMIC Program NPO-17273 , Athens : University of Georgia .
   Google Scholar
• Ignatowsky , VS . 1919 . Trans. Opt. Inst. Pet. , 1 : 1 – 36 .
   Google Scholar
• Luneburg , RK . 1966 . Mathematical Theory of Optics , USA : University of California Press .
   Google Scholar
• Li , Y and Wolf , E . 1984 . J. Opt. Soc. Am. A , 1 : 801 – 808 .
   Google Scholar
• Török , P . 1998 . J. Opt. Soc. Am. A , 15 : 3009 – 3015 .
   Google Scholar
• Innes , DJ and Bloom , AL . 1966 . Spec.-Phys. Laser Tech. Bull. , 5 : 1 – 10 .
   Google Scholar
• Watson, G.N. A Treatise on the Theory of Bessel Functions; Cambridge University Press: Cambridge, 1995.
   Google Scholar
• Flagello , DG , Milster , T and Rosenbluth , AE . 1996 . J. Opt. Soc. Am. A , 13 : 53 – 64 .
   Google Scholar
• Gradshteyn , IS and Ryzhik , IM . 1980 . Table of Integrals, Series and Products , USA : Elsevier Academic Press .
   Google Scholar
• Agrawal , GP and Pattanayak , DN . 1979 . J. Opt. Soc. Am. , 69 : 575 – 578 .
   Web of Science ®Google Scholar
• Kant , R . 1993 . J. Mod. Opt. , 40 : 2293 – 2310 .
   Web of Science ®Google Scholar
• Braat , JJM , Dirksen , P , Janssen , AJEM and van des Nes , AS . 2003 . J. Opt. Soc. Am. A , 20 : 2281 – 2292 .
   Google Scholar
• Sheppard , CJR . 1988 . Appl. Opt. , 27 : 4782 – 4786 .
   PubMed Web of Science ®Google Scholar
• Sheppard , CJR and Török , P . 1997 . J. Mod. Opt. , 44 : 803 – 818 .
   Web of Science ®Google Scholar
• Sherif , SS , Foreman , MR and Török , P . 2008 . Opt. Express , 16 : 3397 – 3407 .
   PubMed Web of Science ®Google Scholar
• Foreman , MR , Sherif , SS , Munro , PRT and Török , P . 2008 . Opt. Express , 16 : 4901 – 4917 .
   PubMed Web of Science ®Google Scholar
• Török , P , Hewlett , SJ and Varga , P . 1997 . J. Mod. Opt. , 44 : 493 – 503 .
   Web of Science ®Google Scholar
• Slepian , D and Pollak , HO . 1961 . Bell System. Tech. J. , 40 : 43 – 64 .
   Google Scholar
• Landau , HJ and Pollak , HO . 1961 . Bell System Tech. J. , 40 : 65 – 84 .
   Google Scholar
• Landau , HJ and Pollak , HO . 1962 . Bell System Tech. J. , 41 : 1295 – 1336 .
   Google Scholar
• Slepian , D . 1964 . Bell System Tech. J. , 43 : 3009 – 3057 .
   Google Scholar
• Frieden , BR . 1971 . Progress in Optics IX , 311 – 407 . Amsterdam : North Holland .
   Google Scholar
• Lohmann , AW , Dorsch , RG , Mendlovic , D , Zalevsky , Z and Ferreira , C . 1996 . J. Opt. Soc. Am. A , 13 : 470 – 473 .
   Google Scholar
• Neifeld , MA . 1998 . Opt. Lett. , 18 : 1477 – 1479 .
   Google Scholar
• Endo, M., Pattern Formation Method and Exposure System. Patent No. 7094521, 2006.
   Google Scholar
• Brand , U , Hester , G , Grochmalicki , J and Pike , R . 1999 . J. Opt. A: Pure Appl. Opt. , 1 : 794 – 800 .
   Google Scholar
• Rohrbach , A , Huisken , J and Stelzer , EHK . 2007 . “ Optical Trapping of Small Particles ” . In In Optical Imaging and Microscopy – Techniques and Advanced Systems , 2nd , New York : Springer-Verlag .
   Google Scholar
• Inoué , S . 2007 . “ Exploring Living Cells and Molecular Dynamics with Polarized Light Microscopy ” . In In Optical Imaging and Microscopy – Techniques and Advanced Systems , 2nd , New York : Springer-Verlag .
   Google Scholar
• Moore , NJ , Alonso , MA and Sheppard , CJR . 2007 . J. Opt. Soc. Am. A , 24 : 3115 – 3122 .
   Google Scholar
• Stratton , JA . 1941 . Electromagnetic Theory , New York : McGraw-Hill .
   Google Scholar
• Abramowitz , M and Stegun , I . 1970 . Handbook of Mathematical Functions , USA : Dover .
   Google Scholar
• Sheppard , CJR and Török , P . 1997 . Optik , 105 : 77 – 82 .
   Web of Science ®Google Scholar
• Sommargren , GE and Seppala , LG . 1993 . Appl. Opt. , 32 : 6938 – 6944 .
   PubMed Web of Science ®Google Scholar
• Wolf , E . 2007 . Introduction to the Theory of Coherence and Polarization of Light , Cambridge : Cambridge University Press .
   Google Scholar
• Gori , F , Santarsiero , M , Simon , R , Piquero , G , Borghi , R and Guattari , G . 2003 . J. Opt. Soc. Am. A , 20 : 78 – 84 .
   Google Scholar
• Foreman , MR and Török , P . 2009 . J. Opt. Soc. Am. A , 26 : 2470 – 2479 .
   Google Scholar
• Török , P , Higdon , PD , Juškaitis , R and Wilson , T . 1998 . Opt. Commun. , 155 : 335 – 341 .
   Web of Science ®Google Scholar
• van de Hulst , HC . 1981 . Light Scattering by Small Particles , USA : Dover .
   Google Scholar
• Török , P . 2000 . Opt. Lett. , 181 : 7 – 18 .
   Google Scholar
• Higdon , PD , Török , P and Wilson , T . 1999 . J. Micros. , 193 : 127 – 141 .
   Web of Science ®Google Scholar
• DeVoe , H . 1964 . J. Chem. Phys. , 43 : 393 – 400 .
   Google Scholar
• DeVoe , H . 1965 . J. Chem. Phys. , 43 : 3199 – 3208 .
   Web of Science ®Google Scholar
• Purcell , EM and Pennypacker , CR . 1973 . Astrophys. J. , 186 : 705 – 714 .
   Web of Science ®Google Scholar
• Draine , BT and Goodman , J . 1993 . Astrophys. J. , 405 : 685 – 697 .
   Web of Science ®Google Scholar
• Lakhtakia , A and Mulholland , GW . 1993 . J. Res. Natl. Inst. Stand. Technol. , 98 : 699 – 716 .
   PubMed Web of Science ®Google Scholar
• Shimura , K and Milster , TD . 2001 . J. Opt. Soc. Am. A , 18 : 2895 – 2900 .
   Google Scholar
• Draine , BT and Flatau , PJ . 1994 . J. Opt. Soc. Am. A , 11 : 1491 – 1499 .
   Web of Science ®Google Scholar
• Wei , X , Wachters , AJ and Urbach , HP . 2007 . J. Opt. Soc. Am. A , 24 : 866 – 881 .
   Google Scholar
• Şendur , K , Challener , W and Peng , C . 2004 . J. Appl. Phys. , 96 : 2743 – 2752 .
   Web of Science ®Google Scholar
• Pocklington , H . 1897 . Proc. Cam. Phil. Soc. , 9 : 324 – 332 .
   Google Scholar
• Liu , J , Xu , B and Chong , TC . 2000 . Jap. J. Appl. Phy. , 39 : 687 – 692 .
   Web of Science ®Google Scholar
• Martin , O , Dereux , A and Girard , C . 1994 . J. Opt. Soc. Am. A , 11 : 1073 – 1080 .
   Google Scholar
• Moharam , MG and Gaylord , TK . 1981 . J. Opt. Soc. Am. , 71 : 811 – 818 .
   Web of Science ®Google Scholar
• Moharam , MG and Gaylord , TK . 1983 . J. Opt. Soc. Am. , 73 : 451 – 455 .
   Web of Science ®Google Scholar
• Yee , K . 1966 . IEEE Trans. Antennas Propag. , 14 : 302 – 307 .
   Google Scholar
• Bayliss , A and Turkel , E . 1980 . Commun. Pure App. Math. , 23 : 707 – 725 .
   Google Scholar
• Enquist , B . 1977 . Math. Comput. , 31 : 629 – 651 .
   Web of Science ®Google Scholar
• Mur , G . 1981 . IEEE Trans. Electromag. Compat. , 23 : 377 – 382 .
   Web of Science ®Google Scholar
• Berenger , JP . 1994 . J. Comput. Phys. , 114 : 185 – 200 .
   Web of Science ®Google Scholar
• Taflove , A and Hagness , S . 2000 . Computational Electrodynamics: The Finite Difference Time Domain Method , Boston, MA : Artech House .
   Google Scholar
• Munro , PRT . 2009 . Personal communication
   Google Scholar
• Munro , PRT and Török , P . 2007 . Opt. Express , 15 : 9293 – 9307 .
   PubMed Web of Science ®Google Scholar
• Török , P , Munro , PRT and Kriezis , EE . 2008 . Opt. Express. , 16 : 507 – 523 .
   PubMed Web of Science ®Google Scholar
• Török , P , Higdon , PD and Wilson , T . 1998 . Opt. Commun. , 45 : 1681 – 1698 .
   Google Scholar
• Ha , T , Enderle , T , Chemla , DS , Selvin , PR and Weiss , S . 1996 . Phys. Rev. Lett. , 77 : 3979 – 3982 .
   PubMed Web of Science ®Google Scholar
• Jovin , TM , Bartholdi , M , Vaz , WLC and Austin , RH . 1981 . Ann. N.Y. Acad. Sci. , 366 : 176 – 196 .
   PubMedGoogle Scholar
• Foreman , MR , Sherif , SS and Török , P . 2007 . Opt. Express , 15 : 13597 – 13606 .
   PubMed Web of Science ®Google Scholar
• Foreman , MR , Macías Romero , C and Török , P . 2008 . Opt. Lett. , 33 : 1020 – 1022 .
   PubMed Web of Science ®Google Scholar
• Munro, P.R.T. Application of Numerical Methods to High Numerical Aperture Imaging. Ph.D. Thesis, 2006.
   Google Scholar
• Wilson , T and Sheppard , C . 1984 . Theory and Practice of Scanning Optical Microscopy , London : Academic Press .
   Google Scholar
• Readhead , ACS , Myers , ST , Pearson , TJ , Sievers , JL , Mason , BS , Contaldi , CR , Bond , JR , Bustos , R , Altamirano , P , Achermann , C , Bronfman , L , Carlstrom , JE , Cartwright , JK , Casassus , S , Dickinson , C , Holzapfel , WL , Kovac , JM , Leitch , EM , May , J , Padin , S , Pogosyan , D , Pospieszalski , M , Pryke , C , Reeves , R , Shepherd , MC and Torres , S . 2004 . Science , 306 : 836 – 844 .
   PubMed Web of Science ®Google Scholar
• Oldenbourg , R . 1996 . Nature , 381 : 811 – 812 .
   PubMed Web of Science ®Google Scholar
• Ellis , J and Dogariu , A . 2005 . Phys. Rev. Lett. , 95 : 203905
   PubMed Web of Science ®Google Scholar
• Welford , WT . 1972 . J. Micros. , 96 : 105 – 107 .
   PubMed Web of Science ®Google Scholar
• Sheppard , CJR and Choudhury , A . 1976 . J. Mod. Opt. , 24 : 1051 – 1073 .
   Google Scholar
• Azzam , RMA and Bashara , NM . 1982 . J. Mod. Opt. , 29 : 685 – 689 .
   Web of Science ®Google Scholar
• Totzeck , M , Gräupner , P , Heil , T , Göhnermeier , A , Dittmann , O , Krähmer , D , Kamenov , V , Ruoff , J and Flagello , D . 2005 . J. Microlithorg. Microfabr. Microsyst. , 4 : 031108
   Google Scholar
• Munro , PRT and Török , P . 2008 . Opt. Lett. , 33 : 2428 – 2430 .
   PubMed Web of Science ®Google Scholar
• Török, P.; Kao, F.J., Eds. Optical Imaging and Microscopy - Techniques and Advanced Systems, 2nd ed.; Springer-Verlag: New York, 2007.
   Google Scholar