C. Maurer, A. Jesacher, S. Fürhapter, S. Bernet, and M. Ritsch-Marte, “Upgrading a microscope with a spiral phase plate,” J. Microsc. 230, 134–142 (2008).
[Crossref]
[PubMed]
L. Torner, J. P. Torres, and S. Carrasco, “Digital spiral imaging,” Opt. Express 13, 873–881 (2005).
[Crossref]
[PubMed]
S. Fürhapter, A. Jesacher, S. Bernet, and M. Ritsch-Marte, “Spiral interferometry,” Opt. Lett. 30, 1953–1955 (2005).
[Crossref]
[PubMed]
Z. Jaroszewicz, A. Kolodziejczyk, A. Mira, R. Henao, and S. Bará, “Equilateral hyperbolic moiré zone plates with variable focus obtained by rotations,” Opt. Express 13, 918–925 (2005).
[Crossref]
[PubMed]
P. Török and P. R. T. Munro, “The use of Gauss–Laguerre vector beams in STED microscopy,” Opt. Express 12, 3605 (2004).
[Crossref]
[PubMed]
A. Jesacher, S. Fürhapter, S. Bernet, and M. Ritsch-Marte, “Size-selective trapping with optical cogwheel tweezers,” Opt. Express 12, 4129–4136 (2004).
[Crossref]
[PubMed]
K. Ladavac and D. G. Grier, “Micro-optomechanical pumps assembled and driven by holographic optical vortex arrays,” Opt. Express 12, 1144–1149 (2004).
[Crossref]
[PubMed]
N. B. Simpson, D. McGloin, K. Dholakia, L. Allen, and M. J. Padgett, “Optical tweezers with increased axial trapping efficiency,” J. Mod. Opt. 45, 1943–1949 (1998).
[Crossref]
S. N. Khonina, V. V. Kotlyar, M. V. Shinkaryev, V. A. Soifer, and G. V. Uspleniev, “The phase rotor filter,” J. Mod. Opt. 39, 1147–1154 (1992).
[Crossref]
N. R. Heckenberg, R. McDuff, C. P. Smith, and A. G. White, “Generation of optical phase singularities by computer-generated holograms,” Opt. Lett. 17, 221–223 (1992).
[Crossref]
[PubMed]
R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).
L. B. Lesem, P. M. Hirsch, and J. A. Jordan, “The kinoform: a new wavefront reconstruction device,” IBM J. Res. Develop. 13, 150–155 (1969).
[Crossref]
N. B. Simpson, D. McGloin, K. Dholakia, L. Allen, and M. J. Padgett, “Optical tweezers with increased axial trapping efficiency,” J. Mod. Opt. 45, 1943–1949 (1998).
[Crossref]
Z. Jaroszewicz, A. Kolodziejczyk, A. Mira, R. Henao, and S. Bará, “Equilateral hyperbolic moiré zone plates with variable focus obtained by rotations,” Opt. Express 13, 918–925 (2005).
[Crossref]
[PubMed]
S. Bará, Z. Jaroszewicz, A. Kolodziejczyk, and V. Moreno, “Determination of basic grids for subtractive moiré patterns,” Appl. Opt. 30, 1258–1262 (1991).
[Crossref]
[PubMed]
C. Maurer, A. Jesacher, S. Fürhapter, S. Bernet, and M. Ritsch-Marte, “Upgrading a microscope with a spiral phase plate,” J. Microsc. 230, 134–142 (2008).
[Crossref]
[PubMed]
A. Jesacher, S. Fürhapter, C. Maurer, S. Bernet, and M. Ritsch-Marte, “Holographic optical tweezers for object manipulations at an air-liquid interface,” Opt. Express 14, 6342–6352 (2006).
[Crossref]
[PubMed]
S. Fürhapter, A. Jesacher, S. Bernet, and M. Ritsch-Marte, “Spiral interferometry,” Opt. Lett. 30, 1953–1955 (2005).
[Crossref]
[PubMed]
A. Jesacher, S. Fürhapter, S. Bernet, and M. Ritsch-Marte, “Size-selective trapping with optical cogwheel tweezers,” Opt. Express 12, 4129–4136 (2004).
[Crossref]
[PubMed]
N. B. Simpson, D. McGloin, K. Dholakia, L. Allen, and M. J. Padgett, “Optical tweezers with increased axial trapping efficiency,” J. Mod. Opt. 45, 1943–1949 (1998).
[Crossref]
C. Maurer, A. Jesacher, S. Fürhapter, S. Bernet, and M. Ritsch-Marte, “Upgrading a microscope with a spiral phase plate,” J. Microsc. 230, 134–142 (2008).
[Crossref]
[PubMed]
A. Jesacher, S. Fürhapter, C. Maurer, S. Bernet, and M. Ritsch-Marte, “Holographic optical tweezers for object manipulations at an air-liquid interface,” Opt. Express 14, 6342–6352 (2006).
[Crossref]
[PubMed]
S. Fürhapter, A. Jesacher, S. Bernet, and M. Ritsch-Marte, “Spiral interferometry,” Opt. Lett. 30, 1953–1955 (2005).
[Crossref]
[PubMed]
A. Jesacher, S. Fürhapter, S. Bernet, and M. Ritsch-Marte, “Size-selective trapping with optical cogwheel tweezers,” Opt. Express 12, 4129–4136 (2004).
[Crossref]
[PubMed]
R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).
L. B. Lesem, P. M. Hirsch, and J. A. Jordan, “The kinoform: a new wavefront reconstruction device,” IBM J. Res. Develop. 13, 150–155 (1969).
[Crossref]
Z. Jaroszewicz, A. Kolodziejczyk, A. Mira, R. Henao, and S. Bará, “Equilateral hyperbolic moiré zone plates with variable focus obtained by rotations,” Opt. Express 13, 918–925 (2005).
[Crossref]
[PubMed]
A. Kolodziejczyk and Z. Jaroszewicz, “Diffractive elements of variable optical power and high diffraction efficiency,” Appl. Opt. 32, 4317–4322 (1993).
[Crossref]
[PubMed]
S. Bará, Z. Jaroszewicz, A. Kolodziejczyk, and V. Moreno, “Determination of basic grids for subtractive moiré patterns,” Appl. Opt. 30, 1258–1262 (1991).
[Crossref]
[PubMed]
C. Maurer, A. Jesacher, S. Fürhapter, S. Bernet, and M. Ritsch-Marte, “Upgrading a microscope with a spiral phase plate,” J. Microsc. 230, 134–142 (2008).
[Crossref]
[PubMed]
A. Jesacher, S. Fürhapter, C. Maurer, S. Bernet, and M. Ritsch-Marte, “Holographic optical tweezers for object manipulations at an air-liquid interface,” Opt. Express 14, 6342–6352 (2006).
[Crossref]
[PubMed]
S. Fürhapter, A. Jesacher, S. Bernet, and M. Ritsch-Marte, “Spiral interferometry,” Opt. Lett. 30, 1953–1955 (2005).
[Crossref]
[PubMed]
A. Jesacher, S. Fürhapter, S. Bernet, and M. Ritsch-Marte, “Size-selective trapping with optical cogwheel tweezers,” Opt. Express 12, 4129–4136 (2004).
[Crossref]
[PubMed]
L. B. Lesem, P. M. Hirsch, and J. A. Jordan, “The kinoform: a new wavefront reconstruction device,” IBM J. Res. Develop. 13, 150–155 (1969).
[Crossref]
S. N. Khonina, V. V. Kotlyar, M. V. Shinkaryev, V. A. Soifer, and G. V. Uspleniev, “The phase rotor filter,” J. Mod. Opt. 39, 1147–1154 (1992).
[Crossref]
Z. Jaroszewicz, A. Kolodziejczyk, A. Mira, R. Henao, and S. Bará, “Equilateral hyperbolic moiré zone plates with variable focus obtained by rotations,” Opt. Express 13, 918–925 (2005).
[Crossref]
[PubMed]
A. Kolodziejczyk and Z. Jaroszewicz, “Diffractive elements of variable optical power and high diffraction efficiency,” Appl. Opt. 32, 4317–4322 (1993).
[Crossref]
[PubMed]
S. Bará, Z. Jaroszewicz, A. Kolodziejczyk, and V. Moreno, “Determination of basic grids for subtractive moiré patterns,” Appl. Opt. 30, 1258–1262 (1991).
[Crossref]
[PubMed]
S. N. Khonina, V. V. Kotlyar, M. V. Shinkaryev, V. A. Soifer, and G. V. Uspleniev, “The phase rotor filter,” J. Mod. Opt. 39, 1147–1154 (1992).
[Crossref]
B. Kress and P. Meyrueis, Digital Diffractive Optics (Wiley, 2000).
L. B. Lesem, P. M. Hirsch, and J. A. Jordan, “The kinoform: a new wavefront reconstruction device,” IBM J. Res. Develop. 13, 150–155 (1969).
[Crossref]
C. Maurer, A. Jesacher, S. Fürhapter, S. Bernet, and M. Ritsch-Marte, “Upgrading a microscope with a spiral phase plate,” J. Microsc. 230, 134–142 (2008).
[Crossref]
[PubMed]
A. Jesacher, S. Fürhapter, C. Maurer, S. Bernet, and M. Ritsch-Marte, “Holographic optical tweezers for object manipulations at an air-liquid interface,” Opt. Express 14, 6342–6352 (2006).
[Crossref]
[PubMed]
N. B. Simpson, D. McGloin, K. Dholakia, L. Allen, and M. J. Padgett, “Optical tweezers with increased axial trapping efficiency,” J. Mod. Opt. 45, 1943–1949 (1998).
[Crossref]
B. Kress and P. Meyrueis, Digital Diffractive Optics (Wiley, 2000).
N. B. Simpson, D. McGloin, K. Dholakia, L. Allen, and M. J. Padgett, “Optical tweezers with increased axial trapping efficiency,” J. Mod. Opt. 45, 1943–1949 (1998).
[Crossref]
C. Maurer, A. Jesacher, S. Fürhapter, S. Bernet, and M. Ritsch-Marte, “Upgrading a microscope with a spiral phase plate,” J. Microsc. 230, 134–142 (2008).
[Crossref]
[PubMed]
A. Jesacher, S. Fürhapter, C. Maurer, S. Bernet, and M. Ritsch-Marte, “Holographic optical tweezers for object manipulations at an air-liquid interface,” Opt. Express 14, 6342–6352 (2006).
[Crossref]
[PubMed]
S. Fürhapter, A. Jesacher, S. Bernet, and M. Ritsch-Marte, “Spiral interferometry,” Opt. Lett. 30, 1953–1955 (2005).
[Crossref]
[PubMed]
A. Jesacher, S. Fürhapter, S. Bernet, and M. Ritsch-Marte, “Size-selective trapping with optical cogwheel tweezers,” Opt. Express 12, 4129–4136 (2004).
[Crossref]
[PubMed]
R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).
S. N. Khonina, V. V. Kotlyar, M. V. Shinkaryev, V. A. Soifer, and G. V. Uspleniev, “The phase rotor filter,” J. Mod. Opt. 39, 1147–1154 (1992).
[Crossref]
N. B. Simpson, D. McGloin, K. Dholakia, L. Allen, and M. J. Padgett, “Optical tweezers with increased axial trapping efficiency,” J. Mod. Opt. 45, 1943–1949 (1998).
[Crossref]
S. N. Khonina, V. V. Kotlyar, M. V. Shinkaryev, V. A. Soifer, and G. V. Uspleniev, “The phase rotor filter,” J. Mod. Opt. 39, 1147–1154 (1992).
[Crossref]
S. N. Khonina, V. V. Kotlyar, M. V. Shinkaryev, V. A. Soifer, and G. V. Uspleniev, “The phase rotor filter,” J. Mod. Opt. 39, 1147–1154 (1992).
[Crossref]
A. W. Lohmann, “A new class of varifocal lenses,” Appl. Opt. 9, 1669–1671 (1970).
[Crossref]
[PubMed]
J. M. Burch and D. C. Williams, “Varifocal moiré zone plates for straightness measurement,” Appl. Opt. 16, 2445–2450 (1977).
[Crossref]
[PubMed]
A. Kolodziejczyk and Z. Jaroszewicz, “Diffractive elements of variable optical power and high diffraction efficiency,” Appl. Opt. 32, 4317–4322 (1993).
[Crossref]
[PubMed]
S. Bará, Z. Jaroszewicz, A. Kolodziejczyk, and V. Moreno, “Determination of basic grids for subtractive moiré patterns,” Appl. Opt. 30, 1258–1262 (1991).
[Crossref]
[PubMed]
L. B. Lesem, P. M. Hirsch, and J. A. Jordan, “The kinoform: a new wavefront reconstruction device,” IBM J. Res. Develop. 13, 150–155 (1969).
[Crossref]
C. Maurer, A. Jesacher, S. Fürhapter, S. Bernet, and M. Ritsch-Marte, “Upgrading a microscope with a spiral phase plate,” J. Microsc. 230, 134–142 (2008).
[Crossref]
[PubMed]
S. N. Khonina, V. V. Kotlyar, M. V. Shinkaryev, V. A. Soifer, and G. V. Uspleniev, “The phase rotor filter,” J. Mod. Opt. 39, 1147–1154 (1992).
[Crossref]
N. B. Simpson, D. McGloin, K. Dholakia, L. Allen, and M. J. Padgett, “Optical tweezers with increased axial trapping efficiency,” J. Mod. Opt. 45, 1943–1949 (1998).
[Crossref]
A. Jesacher, S. Fürhapter, C. Maurer, S. Bernet, and M. Ritsch-Marte, “Holographic optical tweezers for object manipulations at an air-liquid interface,” Opt. Express 14, 6342–6352 (2006).
[Crossref]
[PubMed]
K. Ladavac and D. G. Grier, “Micro-optomechanical pumps assembled and driven by holographic optical vortex arrays,” Opt. Express 12, 1144–1149 (2004).
[Crossref]
[PubMed]
P. Török and P. R. T. Munro, “The use of Gauss–Laguerre vector beams in STED microscopy,” Opt. Express 12, 3605 (2004).
[Crossref]
[PubMed]
A. Jesacher, S. Fürhapter, S. Bernet, and M. Ritsch-Marte, “Size-selective trapping with optical cogwheel tweezers,” Opt. Express 12, 4129–4136 (2004).
[Crossref]
[PubMed]
L. Torner, J. P. Torres, and S. Carrasco, “Digital spiral imaging,” Opt. Express 13, 873–881 (2005).
[Crossref]
[PubMed]
Z. Jaroszewicz, A. Kolodziejczyk, A. Mira, R. Henao, and S. Bará, “Equilateral hyperbolic moiré zone plates with variable focus obtained by rotations,” Opt. Express 13, 918–925 (2005).
[Crossref]
[PubMed]
S. Fürhapter, A. Jesacher, S. Bernet, and M. Ritsch-Marte, “Spiral interferometry,” Opt. Lett. 30, 1953–1955 (2005).
[Crossref]
[PubMed]
J. A. Davis, D. E. McNamara, D. M. Cottrell, and J. Campos, “Imageprocessing with the radial Hilbert transform: theory and experiments,” Opt. Lett. 25, 99–101 (2000).
[Crossref]
N. R. Heckenberg, R. McDuff, C. P. Smith, and A. G. White, “Generation of optical phase singularities by computer-generated holograms,” Opt. Lett. 17, 221–223 (1992).
[Crossref]
[PubMed]
R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).
In this case Φ=ar2φ, i.e., the first condition, becomes 2arφ<π/p. Considering that |φ| can reach the maximal value of π, the condition finally becomes 2ar<1/p. On the other hand, the second condition becomes ar/π<1/p, which is less restrictive than the first one.
B. Kress and P. Meyrueis, Digital Diffractive Optics (Wiley, 2000).