D. P. Kelly, D. Claus, “Filtering role of the sensor pixel in Fourier and Fresnel digital holography,” Appl. Opt. 52, A336–A345 (2013).

[Crossref]

N. Chacko, M. Liebling, T. Blu, “Discretization of continuous convolution operators for accurate modeling of wave propagation in digital holography,” J. Opt. Soc. Am. A 30, 2012–2020 (2013).

[Crossref]

R. J. Mahon, J. A. Murphy, “Diffraction of an optical pulse as an expansion in ultrashort orthogonal Gaussian beam modes,” J. Opt. Soc. Am. A 30, 215–226 (2013).

[Crossref]

M. Guizar-Sicairos, J. R. Fienup, “Understanding the twin-image problem in phase retrieval,” J. Opt. Soc. Am. A 29, 2367–2375 (2012).

[Crossref]

I. Eriksson, P. Haglund, J. Powell, M. Sjodahl, A. F. H. Kaplan, “Holographic measurement of thermal distortion during laser spot welding,” Opt. Eng. 51, 030501 (2012).

[Crossref]

T. Kozacki, K. Falaggis, M. Kujawinska, “Computation of diffracted fields for the case of high numerical aperture using the angular spectrum method,” Appl. Opt. 51, 7080–7088 (2012).

[Crossref]

D. P. Kelly, J. J. Healy, J. T. S. B. M. Hennelly, “Quantifying the 2.5d imaging performance of digital holographic systems,” J. Eur. Opt. Soc. Rapid Pub. 6, 11034 (2011).

[Crossref]

A. Sokołowski, T. Więcek, “Consequences of sampling an image and Fourier planes in a numerical light propagation model based on the Helmholtz–Kirchhoff approximation. ii. comparison between two numerical algorithms,” J. Opt. Soc. Am. A 27, 1688–1693 (2010).

[Crossref]

R. Kleindienst, L. Moeller, S. Sinzinger, “Highly efficient refractive Gaussian-to-tophat beam shaper for compact terahertz imager,” Appl. Opt. 49, 1757–1763 (2010).

[Crossref]

T. Meinecke, N. Sabitov, S. Sinzinger, “Information extraction from digital holograms for particle flow analysis,” Appl. Opt. 49, 2446–2455 (2010).

[Crossref]

K. M. Molony, B. M. Hennelly, D. P. Kelly, T. J. Naughton, “Reconstruction algorithms applied to in-line Gabor digital holographic microscopy,” Opt. Commun. 283, 903–909 (2010).

[Crossref]

D. S. Monaghan, D. P. Kelly, N. Pandey, B. M. Hennelly, “Twin removal in digital holography using diffuse illumination,” Opt. Lett. 34, 3610–3612 (2009).

[Crossref]

D. P. Kelly, B. M. Hennelly, N. Pandey, T. J. Naughton, W. T. Rhodes, “Resolution limits in practical digital holographic systems,” Opt. Eng. 48, 095801 (2009).

[Crossref]

P. F. Almoro, P. N. Gundu, S. G. Hanson, “Numerical correction of aberrations via phase retrieval with speckle illumination,” Opt. Lett. 34, 521–523 (2009).

[Crossref]

D. G. Voelz, M. C. Roggemann, “Digital simulation of scalar optical diffraction: revisiting chirp function sampling criteria and consequences,” Appl. Opt. 48, 6132–6142 (2009).

[Crossref]

P. Picart, J. Leval, “General theoretical formulation of image formation in digital Fresnel holography,” J. Opt. Soc. Am. A 25, 1744–1761 (2008).

[Crossref]

D. P. Kelly, B. M. Hennelly, A. Grün, K. Unterrainer, “Numerical sampling rules for paraxial regime pulse diffraction calculations,” J. Opt. Soc. Am. A 25, 2299–2308 (2008).

[Crossref]

A. Stern, B. Javidi, “Improved-resolution digital holography using the generalized sampling theorem for locally band-limited fields,” J. Opt. Soc. Am. A 23, 1227–1235 (2006).

[Crossref]

A. Stern, “Sampling of linear canonical transformed signals,” Signal Process. 86, 1421–1425 (2006).

[Crossref]

O. V. Angelsky, A. P. Maksimyak, P. P. Maksimyak, S. G. Hanson, “Optical correlation diagnostics of rough surfaces with large surface inhomogeneities,” Opt. Express 14, 7299–7311 (2006).

[Crossref]

D. P. Kelly, B. M. Hennelly, W. T. Rhodes, J. T. Sheridan, “Analytical and numerical analysis of linear optical systems,” Opt. Eng. 45, 088201 (2006).

[Crossref]

F. Shen, A. Wang, “Fast-Fourier-transform based numerical integration method for the Rayleigh–Sommerfeld diffraction formula,” Appl. Opt. 45, 1102–1110 (2006).

[Crossref]

D. P. Kelly, J. E. Ward, U. Gopinathan, B. M. Hennelly, F. T. O’Neill, J. T. Sheridan, “Generalized Yamaguchi correlation factor for coherent quadratic phase speckle metrology systems with an aperture,” Opt. Lett. 31, 3444–3446 (2006).

[Crossref]

A. Sokołowski, “Consequences of sampling an image and Fourier planes in a numerical light propagation model based on the Helmholtz–Kirchhoff approximation,” J. Opt. Soc. Am. A 23, 2764–2767 (2006).

[Crossref]

B. M. Hennelly, J. T. Sheridan, “Generalizing, optimizing, and inventing numerical algorithms for the fractional Fourier, Fresnel, and linear canonical transforms,” J. Opt. Soc. Am. A 22, 917–927 (2005).

[Crossref]

D. P. Kelly, B. M. Hennelly, J. T. Sheridan, “Magnitude and direction of motion with speckle correlation and the optical fractional fourier transform,” Appl. Opt. 44, 2720–2727 (2005).

[Crossref]

P. Picart, J. Leval, D. Mounier, S. Gougeon, “Some opportunities for vibration analysis with time averaging in digital Fresnel holography,” Appl. Opt. 44, 337–343 (2005).

[Crossref]

A. Stern, B. Javidi, “Analysis of practical sampling and reconstruction from Fresnel fields,” Opt. Eng. 43, 239–250 (2004).

[Crossref]

A. Stern, B. Javidi, “Sampling in the light of wigner distribution,” J. Opt. Soc. Am. A 21, 360–366 (2004).

[Crossref]

A. Stern, B. Javidi, “Sampling in the light of Wigner distribution: errata,” J. Opt. Soc. Am. A 21, 2038 (2004).

[Crossref]

M. Liebling, T. Blu, M. Unser, “Fresnelets: new multiresolution wavelet bases for digital holography,” IEEE Trans. Image Process. 12, 29–43 (2003).

[Crossref]

D. Mas, J. Garcia, C. Ferreira, L. M. Bernardo, F. Marinho, “Fast numerical calculation of Fresnel patterns in convergent systems,” Opt. Commun. 227, 245–258 (2003).

[Crossref]

D. Mas, J. Garcia, C. Ferreira, L. M. Bernardo, F. Marinho, “Fast algorithms for free-space diffraction patterns calculation,” Opt. Commun. 164, 233–245 (1999).

[Crossref]

G. Pedrini, P. Fröning, H. J. Tiziani, M. E. Gusev, “Pulsed digital holography for high-speed contouring that uses a two-wavelength method,” Appl. Opt. 38, 3460–3467 (1999).

[Crossref]

A. W. Lohmann, R. G. Dorsch, D. Mendlovic, Z. Zalevsky, C. Ferreira, “Space–bandwidth product of optical signals and systems,” J. Opt. Soc. Am. A 13, 470–473 (1996).

[Crossref]

G. W. Forbes, “Validity of the Fresnel approximation in the diffraction of collimated beams,” J. Opt. Soc. Am. A 13, 1816–1826 (1996).

[Crossref]

M. Gu, X. S. Gan, “Fresnel diffraction by circular and serrated apertures illuminated with an ultrashort pulsed-laser beam,” J. Opt. Soc. Am. A 13, 771–778 (1996).

[Crossref]

A. W. Lohmann, R. G. Dorsch, D. Mendolovic, Z. Zalevsky, C. Ferreira, “Space–bandwidth product of optical signals and systems,” J. Opt. Soc. Am. A 13, 470–473 (1996).

[Crossref]

D. Mas, J. Garcia, C. Ferreira, L. M. Bernardo, F. Marinho, “Fast numerical calculation of Fresnel patterns in convergent systems,” Opt. Commun. 227, 245–258 (2003).

[Crossref]

D. Mas, J. Garcia, C. Ferreira, L. M. Bernardo, F. Marinho, “Fast algorithms for free-space diffraction patterns calculation,” Opt. Commun. 164, 233–245 (1999).

[Crossref]

N. Chacko, M. Liebling, T. Blu, “Discretization of continuous convolution operators for accurate modeling of wave propagation in digital holography,” J. Opt. Soc. Am. A 30, 2012–2020 (2013).

[Crossref]

M. Liebling, T. Blu, M. Unser, “Fresnelets: new multiresolution wavelet bases for digital holography,” IEEE Trans. Image Process. 12, 29–43 (2003).

[Crossref]

M. Born, E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light, 7th ed. (Cambridge University, 1999).

R. Bracewell, The Fourier Transform and its Applications (McGraw-Hill, 1965).

A. W. Lohmann, R. G. Dorsch, D. Mendlovic, Z. Zalevsky, C. Ferreira, “Space–bandwidth product of optical signals and systems,” J. Opt. Soc. Am. A 13, 470–473 (1996).

[Crossref]

A. W. Lohmann, R. G. Dorsch, D. Mendolovic, Z. Zalevsky, C. Ferreira, “Space–bandwidth product of optical signals and systems,” J. Opt. Soc. Am. A 13, 470–473 (1996).

[Crossref]

I. Eriksson, P. Haglund, J. Powell, M. Sjodahl, A. F. H. Kaplan, “Holographic measurement of thermal distortion during laser spot welding,” Opt. Eng. 51, 030501 (2012).

[Crossref]

D. Mas, J. Garcia, C. Ferreira, L. M. Bernardo, F. Marinho, “Fast numerical calculation of Fresnel patterns in convergent systems,” Opt. Commun. 227, 245–258 (2003).

[Crossref]

D. Mas, J. Garcia, C. Ferreira, L. M. Bernardo, F. Marinho, “Fast algorithms for free-space diffraction patterns calculation,” Opt. Commun. 164, 233–245 (1999).

[Crossref]

A. W. Lohmann, R. G. Dorsch, D. Mendlovic, Z. Zalevsky, C. Ferreira, “Space–bandwidth product of optical signals and systems,” J. Opt. Soc. Am. A 13, 470–473 (1996).

[Crossref]

A. W. Lohmann, R. G. Dorsch, D. Mendolovic, Z. Zalevsky, C. Ferreira, “Space–bandwidth product of optical signals and systems,” J. Opt. Soc. Am. A 13, 470–473 (1996).

[Crossref]

D. Mas, J. Garcia, C. Ferreira, L. M. Bernardo, F. Marinho, “Fast numerical calculation of Fresnel patterns in convergent systems,” Opt. Commun. 227, 245–258 (2003).

[Crossref]

D. Mas, J. Garcia, C. Ferreira, L. M. Bernardo, F. Marinho, “Fast algorithms for free-space diffraction patterns calculation,” Opt. Commun. 164, 233–245 (1999).

[Crossref]

J. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1966).

J. W. Goodman, Speckle Phenomena in Optics (Roberts and Company, 2007).

F. Gori, “Fresnel transform and sampling theorem,” Opt. Commun. 39, 293–297 (1981).

[Crossref]

I. Eriksson, P. Haglund, J. Powell, M. Sjodahl, A. F. H. Kaplan, “Holographic measurement of thermal distortion during laser spot welding,” Opt. Eng. 51, 030501 (2012).

[Crossref]

P. F. Almoro, P. N. Gundu, S. G. Hanson, “Numerical correction of aberrations via phase retrieval with speckle illumination,” Opt. Lett. 34, 521–523 (2009).

[Crossref]

O. V. Angelsky, A. P. Maksimyak, P. P. Maksimyak, S. G. Hanson, “Optical correlation diagnostics of rough surfaces with large surface inhomogeneities,” Opt. Express 14, 7299–7311 (2006).

[Crossref]

D. P. Kelly, J. J. Healy, J. T. S. B. M. Hennelly, “Quantifying the 2.5d imaging performance of digital holographic systems,” J. Eur. Opt. Soc. Rapid Pub. 6, 11034 (2011).

[Crossref]

K. M. Molony, B. M. Hennelly, D. P. Kelly, T. J. Naughton, “Reconstruction algorithms applied to in-line Gabor digital holographic microscopy,” Opt. Commun. 283, 903–909 (2010).

[Crossref]

D. P. Kelly, B. M. Hennelly, N. Pandey, T. J. Naughton, W. T. Rhodes, “Resolution limits in practical digital holographic systems,” Opt. Eng. 48, 095801 (2009).

[Crossref]

D. S. Monaghan, D. P. Kelly, N. Pandey, B. M. Hennelly, “Twin removal in digital holography using diffuse illumination,” Opt. Lett. 34, 3610–3612 (2009).

[Crossref]

D. P. Kelly, B. M. Hennelly, A. Grün, K. Unterrainer, “Numerical sampling rules for paraxial regime pulse diffraction calculations,” J. Opt. Soc. Am. A 25, 2299–2308 (2008).

[Crossref]

D. P. Kelly, J. E. Ward, U. Gopinathan, B. M. Hennelly, F. T. O’Neill, J. T. Sheridan, “Generalized Yamaguchi correlation factor for coherent quadratic phase speckle metrology systems with an aperture,” Opt. Lett. 31, 3444–3446 (2006).

[Crossref]

D. P. Kelly, B. M. Hennelly, W. T. Rhodes, J. T. Sheridan, “Analytical and numerical analysis of linear optical systems,” Opt. Eng. 45, 088201 (2006).

[Crossref]

B. M. Hennelly, J. T. Sheridan, “Generalizing, optimizing, and inventing numerical algorithms for the fractional Fourier, Fresnel, and linear canonical transforms,” J. Opt. Soc. Am. A 22, 917–927 (2005).

[Crossref]

D. P. Kelly, B. M. Hennelly, J. T. Sheridan, “Magnitude and direction of motion with speckle correlation and the optical fractional fourier transform,” Appl. Opt. 44, 2720–2727 (2005).

[Crossref]

D. P. Kelly, J. J. Healy, J. T. S. B. M. Hennelly, “Quantifying the 2.5d imaging performance of digital holographic systems,” J. Eur. Opt. Soc. Rapid Pub. 6, 11034 (2011).

[Crossref]

M. Hrynevych, “Diffraction effects in Michelson stellar interferometry,” Ph.D. thesis (University of Sydney, 1992).

A. Stern, B. Javidi, “Improved-resolution digital holography using the generalized sampling theorem for locally band-limited fields,” J. Opt. Soc. Am. A 23, 1227–1235 (2006).

[Crossref]

A. Stern, B. Javidi, “Analysis of practical sampling and reconstruction from Fresnel fields,” Opt. Eng. 43, 239–250 (2004).

[Crossref]

A. Stern, B. Javidi, “Sampling in the light of wigner distribution,” J. Opt. Soc. Am. A 21, 360–366 (2004).

[Crossref]

A. Stern, B. Javidi, “Sampling in the light of Wigner distribution: errata,” J. Opt. Soc. Am. A 21, 2038 (2004).

[Crossref]

I. Eriksson, P. Haglund, J. Powell, M. Sjodahl, A. F. H. Kaplan, “Holographic measurement of thermal distortion during laser spot welding,” Opt. Eng. 51, 030501 (2012).

[Crossref]

D. P. Kelly, D. Claus, “Filtering role of the sensor pixel in Fourier and Fresnel digital holography,” Appl. Opt. 52, A336–A345 (2013).

[Crossref]

D. P. Kelly, J. J. Healy, J. T. S. B. M. Hennelly, “Quantifying the 2.5d imaging performance of digital holographic systems,” J. Eur. Opt. Soc. Rapid Pub. 6, 11034 (2011).

[Crossref]

K. M. Molony, B. M. Hennelly, D. P. Kelly, T. J. Naughton, “Reconstruction algorithms applied to in-line Gabor digital holographic microscopy,” Opt. Commun. 283, 903–909 (2010).

[Crossref]

D. P. Kelly, B. M. Hennelly, N. Pandey, T. J. Naughton, W. T. Rhodes, “Resolution limits in practical digital holographic systems,” Opt. Eng. 48, 095801 (2009).

[Crossref]

D. S. Monaghan, D. P. Kelly, N. Pandey, B. M. Hennelly, “Twin removal in digital holography using diffuse illumination,” Opt. Lett. 34, 3610–3612 (2009).

[Crossref]

D. P. Kelly, B. M. Hennelly, A. Grün, K. Unterrainer, “Numerical sampling rules for paraxial regime pulse diffraction calculations,” J. Opt. Soc. Am. A 25, 2299–2308 (2008).

[Crossref]

D. P. Kelly, J. E. Ward, U. Gopinathan, B. M. Hennelly, F. T. O’Neill, J. T. Sheridan, “Generalized Yamaguchi correlation factor for coherent quadratic phase speckle metrology systems with an aperture,” Opt. Lett. 31, 3444–3446 (2006).

[Crossref]

D. P. Kelly, B. M. Hennelly, W. T. Rhodes, J. T. Sheridan, “Analytical and numerical analysis of linear optical systems,” Opt. Eng. 45, 088201 (2006).

[Crossref]

D. P. Kelly, B. M. Hennelly, J. T. Sheridan, “Magnitude and direction of motion with speckle correlation and the optical fractional fourier transform,” Appl. Opt. 44, 2720–2727 (2005).

[Crossref]

D. P. Kelly, N. Sabitov, T. Meinecke, S. Sinzinger, “Some considerations when numerically calculating diffraction patterns,” in Digital Holography and Three-Dimensional Imaging (Optical Society of America, 2011), p. DTuC5.

P. Picart, J. Leval, “General theoretical formulation of image formation in digital Fresnel holography,” J. Opt. Soc. Am. A 25, 1744–1761 (2008).

[Crossref]

P. Picart, J. Leval, D. Mounier, S. Gougeon, “Some opportunities for vibration analysis with time averaging in digital Fresnel holography,” Appl. Opt. 44, 337–343 (2005).

[Crossref]

N. Chacko, M. Liebling, T. Blu, “Discretization of continuous convolution operators for accurate modeling of wave propagation in digital holography,” J. Opt. Soc. Am. A 30, 2012–2020 (2013).

[Crossref]

M. Liebling, T. Blu, M. Unser, “Fresnelets: new multiresolution wavelet bases for digital holography,” IEEE Trans. Image Process. 12, 29–43 (2003).

[Crossref]

M. Liebling, “On Fresnelets, interference fringes, and digital holography,” Ph.D. thesis (Swiss Federal Institute of Technology Lausanne, 2004).

D. Mendlovic, A. W. Lohmann, Z. Zalevsky, “Space–bandwidth product adaptation and its application to superresolution: examples,” J. Opt. Soc. Am. A 14, 563–567 (1997).

[Crossref]

D. Mendlovic, A. W. Lohmann, “Space–bandwidth product adaptation and its application to superresolution: fundamentals,” J. Opt. Soc. Am. A 14, 558–562 (1997).

[Crossref]

A. W. Lohmann, R. G. Dorsch, D. Mendlovic, Z. Zalevsky, C. Ferreira, “Space–bandwidth product of optical signals and systems,” J. Opt. Soc. Am. A 13, 470–473 (1996).

[Crossref]

A. W. Lohmann, R. G. Dorsch, D. Mendolovic, Z. Zalevsky, C. Ferreira, “Space–bandwidth product of optical signals and systems,” J. Opt. Soc. Am. A 13, 470–473 (1996).

[Crossref]

A. W. Lohmann, “Image rotation, Wigner rotation, and the fractional Fourier transform,” J. Opt. Soc. Am. A 10, 2181–2186 (1993).

[Crossref]

A. W. Lohmann, Optical Information Processing (Universitätsverlag Ilmenau, 2006).

D. Mas, J. Garcia, C. Ferreira, L. M. Bernardo, F. Marinho, “Fast numerical calculation of Fresnel patterns in convergent systems,” Opt. Commun. 227, 245–258 (2003).

[Crossref]

D. Mas, J. Garcia, C. Ferreira, L. M. Bernardo, F. Marinho, “Fast algorithms for free-space diffraction patterns calculation,” Opt. Commun. 164, 233–245 (1999).

[Crossref]

D. Mas, J. Garcia, C. Ferreira, L. M. Bernardo, F. Marinho, “Fast numerical calculation of Fresnel patterns in convergent systems,” Opt. Commun. 227, 245–258 (2003).

[Crossref]

D. Mas, J. Garcia, C. Ferreira, L. M. Bernardo, F. Marinho, “Fast algorithms for free-space diffraction patterns calculation,” Opt. Commun. 164, 233–245 (1999).

[Crossref]

T. Meinecke, N. Sabitov, S. Sinzinger, “Information extraction from digital holograms for particle flow analysis,” Appl. Opt. 49, 2446–2455 (2010).

[Crossref]

D. P. Kelly, N. Sabitov, T. Meinecke, S. Sinzinger, “Some considerations when numerically calculating diffraction patterns,” in Digital Holography and Three-Dimensional Imaging (Optical Society of America, 2011), p. DTuC5.

D. Mendlovic, A. W. Lohmann, Z. Zalevsky, “Space–bandwidth product adaptation and its application to superresolution: examples,” J. Opt. Soc. Am. A 14, 563–567 (1997).

[Crossref]

D. Mendlovic, A. W. Lohmann, “Space–bandwidth product adaptation and its application to superresolution: fundamentals,” J. Opt. Soc. Am. A 14, 558–562 (1997).

[Crossref]

A. W. Lohmann, R. G. Dorsch, D. Mendlovic, Z. Zalevsky, C. Ferreira, “Space–bandwidth product of optical signals and systems,” J. Opt. Soc. Am. A 13, 470–473 (1996).

[Crossref]

K. M. Molony, B. M. Hennelly, D. P. Kelly, T. J. Naughton, “Reconstruction algorithms applied to in-line Gabor digital holographic microscopy,” Opt. Commun. 283, 903–909 (2010).

[Crossref]

K. M. Molony, B. M. Hennelly, D. P. Kelly, T. J. Naughton, “Reconstruction algorithms applied to in-line Gabor digital holographic microscopy,” Opt. Commun. 283, 903–909 (2010).

[Crossref]

D. P. Kelly, B. M. Hennelly, N. Pandey, T. J. Naughton, W. T. Rhodes, “Resolution limits in practical digital holographic systems,” Opt. Eng. 48, 095801 (2009).

[Crossref]

D. P. Kelly, B. M. Hennelly, N. Pandey, T. J. Naughton, W. T. Rhodes, “Resolution limits in practical digital holographic systems,” Opt. Eng. 48, 095801 (2009).

[Crossref]

D. S. Monaghan, D. P. Kelly, N. Pandey, B. M. Hennelly, “Twin removal in digital holography using diffuse illumination,” Opt. Lett. 34, 3610–3612 (2009).

[Crossref]

P. Picart, J. Leval, “General theoretical formulation of image formation in digital Fresnel holography,” J. Opt. Soc. Am. A 25, 1744–1761 (2008).

[Crossref]

P. Picart, J. Leval, D. Mounier, S. Gougeon, “Some opportunities for vibration analysis with time averaging in digital Fresnel holography,” Appl. Opt. 44, 337–343 (2005).

[Crossref]

I. Eriksson, P. Haglund, J. Powell, M. Sjodahl, A. F. H. Kaplan, “Holographic measurement of thermal distortion during laser spot welding,” Opt. Eng. 51, 030501 (2012).

[Crossref]

D. P. Kelly, B. M. Hennelly, N. Pandey, T. J. Naughton, W. T. Rhodes, “Resolution limits in practical digital holographic systems,” Opt. Eng. 48, 095801 (2009).

[Crossref]

D. P. Kelly, B. M. Hennelly, W. T. Rhodes, J. T. Sheridan, “Analytical and numerical analysis of linear optical systems,” Opt. Eng. 45, 088201 (2006).

[Crossref]

T. Meinecke, N. Sabitov, S. Sinzinger, “Information extraction from digital holograms for particle flow analysis,” Appl. Opt. 49, 2446–2455 (2010).

[Crossref]

D. P. Kelly, N. Sabitov, T. Meinecke, S. Sinzinger, “Some considerations when numerically calculating diffraction patterns,” in Digital Holography and Three-Dimensional Imaging (Optical Society of America, 2011), p. DTuC5.

D. P. Kelly, B. M. Hennelly, W. T. Rhodes, J. T. Sheridan, “Analytical and numerical analysis of linear optical systems,” Opt. Eng. 45, 088201 (2006).

[Crossref]

D. P. Kelly, J. E. Ward, U. Gopinathan, B. M. Hennelly, F. T. O’Neill, J. T. Sheridan, “Generalized Yamaguchi correlation factor for coherent quadratic phase speckle metrology systems with an aperture,” Opt. Lett. 31, 3444–3446 (2006).

[Crossref]

D. P. Kelly, B. M. Hennelly, J. T. Sheridan, “Magnitude and direction of motion with speckle correlation and the optical fractional fourier transform,” Appl. Opt. 44, 2720–2727 (2005).

[Crossref]

B. M. Hennelly, J. T. Sheridan, “Generalizing, optimizing, and inventing numerical algorithms for the fractional Fourier, Fresnel, and linear canonical transforms,” J. Opt. Soc. Am. A 22, 917–927 (2005).

[Crossref]

R. Kleindienst, L. Moeller, S. Sinzinger, “Highly efficient refractive Gaussian-to-tophat beam shaper for compact terahertz imager,” Appl. Opt. 49, 1757–1763 (2010).

[Crossref]

T. Meinecke, N. Sabitov, S. Sinzinger, “Information extraction from digital holograms for particle flow analysis,” Appl. Opt. 49, 2446–2455 (2010).

[Crossref]

V. Arrizón, M. Testorf, S. Sinzinger, J. Jahns, “Iterative optimization of phase-only diffractive optical elements based on a lenslet array,” J. Opt. Soc. Am. A 17, 2157–2164 (2000).

[Crossref]

D. P. Kelly, N. Sabitov, T. Meinecke, S. Sinzinger, “Some considerations when numerically calculating diffraction patterns,” in Digital Holography and Three-Dimensional Imaging (Optical Society of America, 2011), p. DTuC5.

I. Eriksson, P. Haglund, J. Powell, M. Sjodahl, A. F. H. Kaplan, “Holographic measurement of thermal distortion during laser spot welding,” Opt. Eng. 51, 030501 (2012).

[Crossref]

A. Stern, “Sampling of linear canonical transformed signals,” Signal Process. 86, 1421–1425 (2006).

[Crossref]

A. Stern, B. Javidi, “Improved-resolution digital holography using the generalized sampling theorem for locally band-limited fields,” J. Opt. Soc. Am. A 23, 1227–1235 (2006).

[Crossref]

A. Stern, B. Javidi, “Analysis of practical sampling and reconstruction from Fresnel fields,” Opt. Eng. 43, 239–250 (2004).

[Crossref]

A. Stern, B. Javidi, “Sampling in the light of wigner distribution,” J. Opt. Soc. Am. A 21, 360–366 (2004).

[Crossref]

A. Stern, B. Javidi, “Sampling in the light of Wigner distribution: errata,” J. Opt. Soc. Am. A 21, 2038 (2004).

[Crossref]

M. Liebling, T. Blu, M. Unser, “Fresnelets: new multiresolution wavelet bases for digital holography,” IEEE Trans. Image Process. 12, 29–43 (2003).

[Crossref]

M. Born, E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light, 7th ed. (Cambridge University, 1999).

D. Mendlovic, A. W. Lohmann, Z. Zalevsky, “Space–bandwidth product adaptation and its application to superresolution: examples,” J. Opt. Soc. Am. A 14, 563–567 (1997).

[Crossref]

A. W. Lohmann, R. G. Dorsch, D. Mendolovic, Z. Zalevsky, C. Ferreira, “Space–bandwidth product of optical signals and systems,” J. Opt. Soc. Am. A 13, 470–473 (1996).

[Crossref]

A. W. Lohmann, R. G. Dorsch, D. Mendlovic, Z. Zalevsky, C. Ferreira, “Space–bandwidth product of optical signals and systems,” J. Opt. Soc. Am. A 13, 470–473 (1996).

[Crossref]

G. Pedrini, P. Fröning, H. J. Tiziani, M. E. Gusev, “Pulsed digital holography for high-speed contouring that uses a two-wavelength method,” Appl. Opt. 38, 3460–3467 (1999).

[Crossref]

P. Picart, J. Leval, D. Mounier, S. Gougeon, “Some opportunities for vibration analysis with time averaging in digital Fresnel holography,” Appl. Opt. 44, 337–343 (2005).

[Crossref]

T. Meinecke, N. Sabitov, S. Sinzinger, “Information extraction from digital holograms for particle flow analysis,” Appl. Opt. 49, 2446–2455 (2010).

[Crossref]

J. R. Fienup, “Phase retrieval algorithms: a comparison,” Appl. Opt. 21, 2758–2769 (1982).

[Crossref]

R. Kleindienst, L. Moeller, S. Sinzinger, “Highly efficient refractive Gaussian-to-tophat beam shaper for compact terahertz imager,” Appl. Opt. 49, 1757–1763 (2010).

[Crossref]

C. J. R. Sheppard, “Three-dimensional phase imaging with the intensity transport equation,” Appl. Opt. 41, 5951–5955 (2002).

[Crossref]

D. P. Kelly, B. M. Hennelly, J. T. Sheridan, “Magnitude and direction of motion with speckle correlation and the optical fractional fourier transform,” Appl. Opt. 44, 2720–2727 (2005).

[Crossref]

F. Shen, A. Wang, “Fast-Fourier-transform based numerical integration method for the Rayleigh–Sommerfeld diffraction formula,” Appl. Opt. 45, 1102–1110 (2006).

[Crossref]

D. G. Voelz, M. C. Roggemann, “Digital simulation of scalar optical diffraction: revisiting chirp function sampling criteria and consequences,” Appl. Opt. 48, 6132–6142 (2009).

[Crossref]

T. Kozacki, K. Falaggis, M. Kujawinska, “Computation of diffracted fields for the case of high numerical aperture using the angular spectrum method,” Appl. Opt. 51, 7080–7088 (2012).

[Crossref]

L. Onural, “Sampling of the diffraction field,” Appl. Opt. 39, 5929–5935 (2000).

[Crossref]

D. P. Kelly, D. Claus, “Filtering role of the sensor pixel in Fourier and Fresnel digital holography,” Appl. Opt. 52, A336–A345 (2013).

[Crossref]

M. Liebling, T. Blu, M. Unser, “Fresnelets: new multiresolution wavelet bases for digital holography,” IEEE Trans. Image Process. 12, 29–43 (2003).

[Crossref]

D. P. Kelly, J. J. Healy, J. T. S. B. M. Hennelly, “Quantifying the 2.5d imaging performance of digital holographic systems,” J. Eur. Opt. Soc. Rapid Pub. 6, 11034 (2011).

[Crossref]

G. W. Forbes, “Validity of the Fresnel approximation in the diffraction of collimated beams,” J. Opt. Soc. Am. A 13, 1816–1826 (1996).

[Crossref]

P. Picart, J. Leval, “General theoretical formulation of image formation in digital Fresnel holography,” J. Opt. Soc. Am. A 25, 1744–1761 (2008).

[Crossref]

M. Guizar-Sicairos, J. R. Fienup, “Understanding the twin-image problem in phase retrieval,” J. Opt. Soc. Am. A 29, 2367–2375 (2012).

[Crossref]

A. W. Lohmann, “Image rotation, Wigner rotation, and the fractional Fourier transform,” J. Opt. Soc. Am. A 10, 2181–2186 (1993).

[Crossref]

A. W. Lohmann, R. G. Dorsch, D. Mendlovic, Z. Zalevsky, C. Ferreira, “Space–bandwidth product of optical signals and systems,” J. Opt. Soc. Am. A 13, 470–473 (1996).

[Crossref]

D. Mendlovic, A. W. Lohmann, “Space–bandwidth product adaptation and its application to superresolution: fundamentals,” J. Opt. Soc. Am. A 14, 558–562 (1997).

[Crossref]

D. Mendlovic, A. W. Lohmann, Z. Zalevsky, “Space–bandwidth product adaptation and its application to superresolution: examples,” J. Opt. Soc. Am. A 14, 563–567 (1997).

[Crossref]

V. Arrizón, M. Testorf, S. Sinzinger, J. Jahns, “Iterative optimization of phase-only diffractive optical elements based on a lenslet array,” J. Opt. Soc. Am. A 17, 2157–2164 (2000).

[Crossref]

A. W. Lohmann, R. G. Dorsch, D. Mendolovic, Z. Zalevsky, C. Ferreira, “Space–bandwidth product of optical signals and systems,” J. Opt. Soc. Am. A 13, 470–473 (1996).

[Crossref]

A. Stern, B. Javidi, “Improved-resolution digital holography using the generalized sampling theorem for locally band-limited fields,” J. Opt. Soc. Am. A 23, 1227–1235 (2006).

[Crossref]

A. Stern, B. Javidi, “Sampling in the light of wigner distribution,” J. Opt. Soc. Am. A 21, 360–366 (2004).

[Crossref]

A. Stern, B. Javidi, “Sampling in the light of Wigner distribution: errata,” J. Opt. Soc. Am. A 21, 2038 (2004).

[Crossref]

B. M. Hennelly, J. T. Sheridan, “Generalizing, optimizing, and inventing numerical algorithms for the fractional Fourier, Fresnel, and linear canonical transforms,” J. Opt. Soc. Am. A 22, 917–927 (2005).

[Crossref]

A. Sokołowski, “Consequences of sampling an image and Fourier planes in a numerical light propagation model based on the Helmholtz–Kirchhoff approximation,” J. Opt. Soc. Am. A 23, 2764–2767 (2006).

[Crossref]

L. Onural, “Exact analysis of the effects of sampling of the scalar diffraction field,” J. Opt. Soc. Am. A 24, 359–367 (2007).

[Crossref]

A. Sokołowski, T. Więcek, “Consequences of sampling an image and Fourier planes in a numerical light propagation model based on the Helmholtz–Kirchhoff approximation. ii. comparison between two numerical algorithms,” J. Opt. Soc. Am. A 27, 1688–1693 (2010).

[Crossref]

N. Chacko, M. Liebling, T. Blu, “Discretization of continuous convolution operators for accurate modeling of wave propagation in digital holography,” J. Opt. Soc. Am. A 30, 2012–2020 (2013).

[Crossref]

M. Gu, X. S. Gan, “Fresnel diffraction by circular and serrated apertures illuminated with an ultrashort pulsed-laser beam,” J. Opt. Soc. Am. A 13, 771–778 (1996).

[Crossref]

D. P. Kelly, B. M. Hennelly, A. Grün, K. Unterrainer, “Numerical sampling rules for paraxial regime pulse diffraction calculations,” J. Opt. Soc. Am. A 25, 2299–2308 (2008).

[Crossref]

R. J. Mahon, J. A. Murphy, “Diffraction of an optical pulse as an expansion in ultrashort orthogonal Gaussian beam modes,” J. Opt. Soc. Am. A 30, 215–226 (2013).

[Crossref]

D. Mas, J. Garcia, C. Ferreira, L. M. Bernardo, F. Marinho, “Fast algorithms for free-space diffraction patterns calculation,” Opt. Commun. 164, 233–245 (1999).

[Crossref]

D. Mas, J. Garcia, C. Ferreira, L. M. Bernardo, F. Marinho, “Fast numerical calculation of Fresnel patterns in convergent systems,” Opt. Commun. 227, 245–258 (2003).

[Crossref]

F. Gori, “Fresnel transform and sampling theorem,” Opt. Commun. 39, 293–297 (1981).

[Crossref]

K. M. Molony, B. M. Hennelly, D. P. Kelly, T. J. Naughton, “Reconstruction algorithms applied to in-line Gabor digital holographic microscopy,” Opt. Commun. 283, 903–909 (2010).

[Crossref]

D. P. Kelly, B. M. Hennelly, N. Pandey, T. J. Naughton, W. T. Rhodes, “Resolution limits in practical digital holographic systems,” Opt. Eng. 48, 095801 (2009).

[Crossref]

I. Eriksson, P. Haglund, J. Powell, M. Sjodahl, A. F. H. Kaplan, “Holographic measurement of thermal distortion during laser spot welding,” Opt. Eng. 51, 030501 (2012).

[Crossref]

D. P. Kelly, B. M. Hennelly, W. T. Rhodes, J. T. Sheridan, “Analytical and numerical analysis of linear optical systems,” Opt. Eng. 45, 088201 (2006).

[Crossref]

A. Stern, B. Javidi, “Analysis of practical sampling and reconstruction from Fresnel fields,” Opt. Eng. 43, 239–250 (2004).

[Crossref]

D. P. Kelly, J. E. Ward, U. Gopinathan, B. M. Hennelly, F. T. O’Neill, J. T. Sheridan, “Generalized Yamaguchi correlation factor for coherent quadratic phase speckle metrology systems with an aperture,” Opt. Lett. 31, 3444–3446 (2006).

[Crossref]

D. S. Monaghan, D. P. Kelly, N. Pandey, B. M. Hennelly, “Twin removal in digital holography using diffuse illumination,” Opt. Lett. 34, 3610–3612 (2009).

[Crossref]

P. F. Almoro, P. N. Gundu, S. G. Hanson, “Numerical correction of aberrations via phase retrieval with speckle illumination,” Opt. Lett. 34, 521–523 (2009).

[Crossref]

L. Onural, “Diffraction from a wavelet point of view,” Opt. Lett. 18, 846–848 (1993).

[Crossref]

A. Stern, “Sampling of linear canonical transformed signals,” Signal Process. 86, 1421–1425 (2006).

[Crossref]

M. Liebling, “On Fresnelets, interference fringes, and digital holography,” Ph.D. thesis (Swiss Federal Institute of Technology Lausanne, 2004).

R. Bracewell, The Fourier Transform and its Applications (McGraw-Hill, 1965).

D. P. Kelly, N. Sabitov, T. Meinecke, S. Sinzinger, “Some considerations when numerically calculating diffraction patterns,” in Digital Holography and Three-Dimensional Imaging (Optical Society of America, 2011), p. DTuC5.

A. W. Lohmann, Optical Information Processing (Universitätsverlag Ilmenau, 2006).

M. Hrynevych, “Diffraction effects in Michelson stellar interferometry,” Ph.D. thesis (University of Sydney, 1992).

J. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1966).

M. Born, E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light, 7th ed. (Cambridge University, 1999).

J. W. Goodman, Speckle Phenomena in Optics (Roberts and Company, 2007).