6 Diffraction theory of focusing and imaging (1)

6.1 Diffraction theory

6.2 Diffraction by muscle fibres

6.3 High aperture focusing

6.4 Fresnel number

6.5 Aberrations

 

6.1 Diffraction theory

D. 112. Sheppard CJR, Hrynevych M (1991) Diffraction by a half-plane, a generalization of Fresnel diffraction theory, Opt. Lett. 16, 1060-1061.

D. 113. Sheppard CJR, Hrynevych M (1992) Diffraction by a circular aperture:  a generalization of Fresnel diffraction theory, J. Opt. Soc. Am.A 9 274-281.

D. 126. Sheppard CJR, Roberts PP and Gu M (1993) Fresnel approximation for off-axis illumination of a circular aperture, J. Opt. Soc. Amer. A, 10,  984-986.

D. 203. Sheppard CJR, Hegedus Z (1998) Resolution for off-axis illumination, J. Opt. Soc. Amer.A  15, 622-624

D. 239. Sheppard CJR (2000) Validity of the Debye approximation, Opt. Lett. 25, 1660-1662

D. 262. Cooper IJ, Sheppard CJR and Sharma MD (2002) Numerical integration of diffraction integrals for a circular aperture, Optik 113, 293-298

D. 265. Sheppard CJR, Török P (2003) Focal shift and the Rayleigh-Sommerfeld diffraction integral, J. Opt. Soc. Am. A 20, 2156-2162

D. 266. Cooper IJ, Sheppard CJR (2003) A matrix method for calculating the three-dimensional irradiance distribution in the focal region of a convergent beam, Optik, 114, 298-304

D. 271. Sheppard CJR, Cooper IJ (2004) Fresnel diffraction by a circular aperture with off-axis illumination and its use in deconvolution of microscope images, J. Opt. Soc. Am. A 21, 650-545, 

 

6.2 Diffraction by muscle fibres

C. 20. Sheridan JT, Sheppard CJR (1994) Volume diffraction by, and imaging of, striated muscle fibres, Third International Conference on Optics Within Life Sciences OWLS III, Tokyo, 10-14 April 1994, Optical Methods in Biomedical and Environmental Sciences, H.Ohzu and S. Komatsu, eds., Elsevier, Amsterdam, pp. 31-35. ISBN 0 444 81817 0

D. 148. Sheridan JT, Sheppard CJR (1994) Diffraction by striated muscle fibres: application to image modeling, Bioimaging 1, 214-227.

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6.3 High aperture focusing

D. 9. Sheppard CJR, Choudhury A, Gannaway JN (1977) Electromagnetic field near the focus of wide-angular lens and mirror systems, IEE J.  Microwaves Optics and Acoustics 1, 129-132.

 

Derivation of the Wolf diffraction integral from the Stratton-Chu formula.

 

Reproduced in SPIE Milestone Series MS-168, Selected reprints on Electromagnetic fields in focal regions, JJ Stamnes, ed. ISBN 0-8194-4117-1, pp  301-304

 

D. 18. Sheppard CJR (1978) Electromagnetic field in the focal region of wide- angular annular lens and mirror systems, IEE J. Microwaves, Optics and Acoustics 2, 163-166.

 

Derivation of vectorial non-paraxial Bessel beam.

 

Reproduced in SPIE Milestone Series MS-168, Selected reprints on Electromagnetic fields in focal regions, JJ Stamnes, ed. ISBN 0-8194-4117-1, pp, 305-308

 

D. 38. Sheppard CJR, Wilson T (1982) The image of a single point in microscopes of large numerical aperture, Proc. Roy. Soc. Lond. A 379, 145-158.

D. 76. Sheppard CJR, Matthews HJ (1987) Imaging in high aperture optical systems, J. Opt. Soc. Am. A  4,  1354-1360.

Focusing for a high-aperture scalar system (scalar form of Richards and Wolf)

Point spread function for a complete sphere of illumination (4pi microscope)

 

D. 81. Sheppard CJR (1988) Depth of field in optical microscopy, J. Microsc. 149, 73-75.

D. 136. Sheppard CJR, Gu M (1993) Imaging by a high aperture optical system.  J. Mod. Opt. 40, 1631-1651.

E.35. Sheppard CJR, Gu Min (1993) Imaging in high aperture optical systems, The 16th Congress of the International Commission for Optics, Budapest, Hungary, Aug 9-13, 1993, Proc. SPIE 1983, 195-196.

D. 147. Sheppard CJR, Gu Min, Kawata Y, Kawata S (1994) Three-dimensional transfer functions for high aperture systems, J. Opt. Soc. Amer. A 11, 593-598.

D. 154. Sheppard CJR, Larkin KG (1994) Optimal concentration of electromagnetic radiation J. Mod. Opt.41, 1495-1507

Reproduced in SPIE Milestone Series MS-168, Selected reprints on Electromagnetic fields in focal regions, JJ Stamnes, ed. ISBN 0-8194-4117-1, pp 109-119

 

E.56. Sheppard CJR Török P (1996) A multipole expansion for efficient calculation of focal distributions, 2a Reunion Iberoamericana de Optica, Guanajuato, Mexico 18-22 Sept. 1996, Proc. SPIE  2730 630-633

E.59. Sheppard CJR, Török P (1996) Electromagnetic diffraction in high aperture optical systems, ICO17, Taejon, Korea, 19-23 August 1996, Proc. SPIE 2778 31-32

D. 192. Sheppard CJR, Török P (1997) Efficient calculation of electromagnetic diffraction in optical systems using a multipole expansion, J. Mod. Opt., 44 803-818

D. 193. Sheppard CJR (1997) Vector diffraction in paraboloidal mirrors with Seidel aberrations: effects of small object displacements, Optics Commun. 138, 262-264 

D. 194. Sheppard CJR, Török P (1997) Electromagnetic field in the focal region of an electric dipole wave, Optik 104, 175-177

D. 195. Sheppard CJR (1997) Aberrations in high aperture optical systems, Optik.105, 29-33

 

Reproduced in SPIE Milestone Series MS-168, Selected reprints on Electromagnetic fields in focal regions, JJ Stamnes, ed. ISBN 0-8194-4117-1, pp  254-260

 

D197. Sheppard CJR, Török P (1997) Approximate forms for diffraction integrals in high numerical aperture focusing, Optik, 105, 77-82

D. 200. Sheppard CJR, Larkin KG (1997) Vectorial pupil functions and vectorial transfer functions, Optik, 107, 79-87

D. 222. Sheppard, CJR Vectors and Fourier transforms in optics (1999) Optik 110, 157-160

D. 235. Sheppard CJR, Aguilar JF (2000) Electromagnetic imaging in the confocal microscope, Opt. Commun. 180, 1-8

D. 243. Sheppard CJR (2001) High aperture beams, J. Opt. Soc. Amer. A 18, 1579-1587 (invited review paper)

D. 258.     Arnison MR, Sheppard CJR (2002) A 3D vectorial optical transfer function suitable for arbitrary pupil functions, Opt. Commun. 211, 53-63

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6.4 Fresnel number

D. 44. Wilson T, Sheppard CJR (1982) Imaging with finite values of Fresnel number, J. Opt. Soc. Am. 72, 15-18.

D. 68. Sheppard CJR (1986) Imaging in optical systems of finite Fresnel number, J. Opt. Soc. Am. A 3,1428-1432.

D. 196. Gan X, Sheppard CJR, Gu M (1997) Effect of Fresnel diffraction on confocal imaging with an annular lens, Bioimaging, 5, 153-158

D. 215. Sheppard CJR and P Török (1998) Dependence of Fresnel number on aperture stop position, J. Opt. Soc. Am. A 15, 3016-3019

D. 216. Sheppard CJR and P Török (1998) Dependence of focal shift on Fresnel number and angular aperture, Opt Lett. 23, 1803-1804

C. 24. Sheppard CJR and Török P (1999) Effects of Fresnel number in focusing and imaging, Int. Conf on Optics and Optoelectronics, Dehra Dun, India, 9-12 Dec. 1998, in Optics and Optoelectronics, Theory, Devices and Applications, Volume 1, OP Nijhawan, AK Gupta, AK Musla and K Singh, eds. Narosa, New Delhi, pp.635-649. ISBN 81 7319 285 5, Proc. SPIE 3729, 458-472

D. 233. Sheppard CJR and Larkin KG (2000) Focal shift, optical transfer function, and phase-space representations, J. Opt. Soc. Am. A 17, 772-779

D. 239. Sheppard CJR (2000) Validity of the Debye approximation, Opt. Lett. 25, 1660-1662

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6.5 Aberrations

D. 83. Sheppard CJR (1988) Aberrations in high aperture conventional and confocal imaging systems, Appl. Opt. 27, 4782-4786.

 

Expands aberration function in a series of spherical harmonics

 

 

D. 103. Sheppard CJR, Cogswell CJ (1991) Effects of aberrating layers and tube length on confocal imaging properties, Optik 87, 34-38.

D. 108. Sheppard CJR, Gu M (1991) Aberration compensation in confocal microscopy, Appl. Opt. 30, 3563-3568.

The effect of focusing through a dielectric on axial response.

 

D. 124. Sheppard CJR, Gu M (1992) Axial imaging through an aberrating layer of water in confocal microscopy.  Opt. Commun.  88, 180-190.