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

[CrossRef]

K. Matsushima, H. Schimmel, and F. Wyrowski, “Fast calculation method for optical diffraction on tilted planes by use of the angular spectrum of plane waves,” J. Opt. Soc. A 20, 1755–1762 (2003).

[CrossRef]

J. Curtis and D. G. Grier, “Structure of optical vortices,” Phys. Rev. Lett. 90, 133901 (2003).

[CrossRef]

J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, and J. Courtial, “Measuring the orbital angular momentum of a single photon,” Phys. Rev. Lett. 88, 257901 (2002).

[CrossRef]

D. Mendlovic, Z. Zalevsky, and N. Konforti, “Computation considerations and fast algorithms for calculating the diffraction integral,” J. Mod. Opt. 44, 407–414 (1997).

[CrossRef]

D. Mendlovic, Z. Zalevsky, and N. Konforti, “Computation considerations and fast algorithms for calculating the diffraction integral,” J. Mod. Opt. 44, 407–414 (1997).

[CrossRef]

T. M. Kreis, M. Adams, and W. P. O. Jüptner, “Methods of digital holography: a comparison,” Proc. SPIE 3098, 224–233 (1997).

[CrossRef]

T. Tommasi and B. Bianco, “Computer-generated holograms of tilted planes by a spatial frequency approach,” J. Opt. Soc. A 10, 299–305 (1993).

[CrossRef]

T. M. Kreis, M. Adams, and W. P. O. Jüptner, “Methods of digital holography: a comparison,” Proc. SPIE 3098, 224–233 (1997).

[CrossRef]

C. L. Phillips, J. M. Parr, and E. Ann Riskin, Signals, Systems, and Transforms (Pearson, 2003).

J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, and J. Courtial, “Measuring the orbital angular momentum of a single photon,” Phys. Rev. Lett. 88, 257901 (2002).

[CrossRef]

J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, and J. Courtial, “Measuring the orbital angular momentum of a single photon,” Phys. Rev. Lett. 88, 257901 (2002).

[CrossRef]

J. Curtis and D. G. Grier, “Structure of optical vortices,” Phys. Rev. Lett. 90, 133901 (2003).

[CrossRef]

J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, and J. Courtial, “Measuring the orbital angular momentum of a single photon,” Phys. Rev. Lett. 88, 257901 (2002).

[CrossRef]

J. W. Goodman, Introduction to Fourier Optics (Roberts, 2005).

J. Curtis and D. G. Grier, “Structure of optical vortices,” Phys. Rev. Lett. 90, 133901 (2003).

[CrossRef]

S. Haykin and B. Van Veen, Signals and Systems (Wiley, 2005).

N. Hodgson and H. Weber, Laser Resonators and Beam Propagation (Springer, 2005).

T. M. Kreis, M. Adams, and W. P. O. Jüptner, “Methods of digital holography: a comparison,” Proc. SPIE 3098, 224–233 (1997).

[CrossRef]

D. Mendlovic, Z. Zalevsky, and N. Konforti, “Computation considerations and fast algorithms for calculating the diffraction integral,” J. Mod. Opt. 44, 407–414 (1997).

[CrossRef]

D. Mendlovic, Z. Zalevsky, and N. Konforti, “Computation considerations and fast algorithms for calculating the diffraction integral,” J. Mod. Opt. 44, 407–414 (1997).

[CrossRef]

T. M. Kreis, M. Adams, and W. P. O. Jüptner, “Methods of digital holography: a comparison,” Proc. SPIE 3098, 224–233 (1997).

[CrossRef]

J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, and J. Courtial, “Measuring the orbital angular momentum of a single photon,” Phys. Rev. Lett. 88, 257901 (2002).

[CrossRef]

K. Matsushima, “Shifted angular spectrum method for off-axis numerical propagation,” Opt. Express 18, 18453–18463(2010).

[CrossRef]

K. Matsushima and T. Shimobaba, “Band-limited angular spectrum method for numerical simulation of free-space propagation in far and near fields,” Opt. Express 17, 19662–19673 (2009).

[CrossRef]

K. Matsushima, H. Schimmel, and F. Wyrowski, “Fast calculation method for optical diffraction on tilted planes by use of the angular spectrum of plane waves,” J. Opt. Soc. A 20, 1755–1762 (2003).

[CrossRef]

D. Mendlovic, Z. Zalevsky, and N. Konforti, “Computation considerations and fast algorithms for calculating the diffraction integral,” J. Mod. Opt. 44, 407–414 (1997).

[CrossRef]

D. Mendlovic, Z. Zalevsky, and N. Konforti, “Computation considerations and fast algorithms for calculating the diffraction integral,” J. Mod. Opt. 44, 407–414 (1997).

[CrossRef]

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

[CrossRef]

J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, and J. Courtial, “Measuring the orbital angular momentum of a single photon,” Phys. Rev. Lett. 88, 257901 (2002).

[CrossRef]

C. L. Phillips, J. M. Parr, and E. Ann Riskin, Signals, Systems, and Transforms (Pearson, 2003).

C. L. Phillips, J. M. Parr, and E. Ann Riskin, Signals, Systems, and Transforms (Pearson, 2003).

K. Matsushima, H. Schimmel, and F. Wyrowski, “Fast calculation method for optical diffraction on tilted planes by use of the angular spectrum of plane waves,” J. Opt. Soc. A 20, 1755–1762 (2003).

[CrossRef]

J. D. Schmidt, Numerical Simulation of Optical Wave Propagation With Examples in MATLAB (SPIE, 2010).

S. Haykin and B. Van Veen, Signals and Systems (Wiley, 2005).

N. Hodgson and H. Weber, Laser Resonators and Beam Propagation (Springer, 2005).

K. Matsushima, H. Schimmel, and F. Wyrowski, “Fast calculation method for optical diffraction on tilted planes by use of the angular spectrum of plane waves,” J. Opt. Soc. A 20, 1755–1762 (2003).

[CrossRef]

D. Mendlovic, Z. Zalevsky, and N. Konforti, “Computation considerations and fast algorithms for calculating the diffraction integral,” J. Mod. Opt. 44, 407–414 (1997).

[CrossRef]

D. Mendlovic, Z. Zalevsky, and N. Konforti, “Computation considerations and fast algorithms for calculating the diffraction integral,” J. Mod. Opt. 44, 407–414 (1997).

[CrossRef]

D. Wang, J. Zhao, F. Zhang, G. Pedrini, and W. Osten, “High-fidelity numerical realization of multiple-step Fresnel propagation for the reconstruction of digital holograms,” Appl. Opt. 47, D12–D20 (2008).

[CrossRef]

V. Nascov and P. C. Logofătu, “Fast computation algorithm for the Rayleigh–Sommerfeld diffraction formula using a type of scaled convolution,” Appl. Opt. 48, 4310–4319 (2009).

[CrossRef]

E. A. Sziklas and A. E. Siegman, “Mode calculations in unstable resonators with flowing saturable gain. 2: fast Fourier transform method,” Appl. Opt. 14, 1874–1889 (1975).

[CrossRef]

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

[CrossRef]

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

[CrossRef]

D. Mendlovic, Z. Zalevsky, and N. Konforti, “Computation considerations and fast algorithms for calculating the diffraction integral,” J. Mod. Opt. 44, 407–414 (1997).

[CrossRef]

D. Mendlovic, Z. Zalevsky, and N. Konforti, “Computation considerations and fast algorithms for calculating the diffraction integral,” J. Mod. Opt. 44, 407–414 (1997).

[CrossRef]

K. Matsushima, H. Schimmel, and F. Wyrowski, “Fast calculation method for optical diffraction on tilted planes by use of the angular spectrum of plane waves,” J. Opt. Soc. A 20, 1755–1762 (2003).

[CrossRef]

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

[CrossRef]

T. Tommasi and B. Bianco, “Computer-generated holograms of tilted planes by a spatial frequency approach,” J. Opt. Soc. A 10, 299–305 (1993).

[CrossRef]

J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, and J. Courtial, “Measuring the orbital angular momentum of a single photon,” Phys. Rev. Lett. 88, 257901 (2002).

[CrossRef]

J. Curtis and D. G. Grier, “Structure of optical vortices,” Phys. Rev. Lett. 90, 133901 (2003).

[CrossRef]

T. M. Kreis, M. Adams, and W. P. O. Jüptner, “Methods of digital holography: a comparison,” Proc. SPIE 3098, 224–233 (1997).

[CrossRef]

J. D. Schmidt, Numerical Simulation of Optical Wave Propagation With Examples in MATLAB (SPIE, 2010).

J. W. Goodman, Introduction to Fourier Optics (Roberts, 2005).

D. G. Voelz, Computational Fourier Optics: A MATLAB Tutorial (SPIE, 2011).

C. L. Phillips, J. M. Parr, and E. Ann Riskin, Signals, Systems, and Transforms (Pearson, 2003).

N. Hodgson and H. Weber, Laser Resonators and Beam Propagation (Springer, 2005).

S. Haykin and B. Van Veen, Signals and Systems (Wiley, 2005).