Abstract

In this paper, we propose a new type of rotational Doppler shift measurement based on the OAM of light which is capable of measuring the rotation of a point source in the plane orthogonal to the observer line of sight. By analysing the correlations between OAM states of light emitted by rotating sources, the rotational Doppler shift, and hence the rate of rotation, can be measured. We demonstrate that an OAM interferometer capable of extracting the rotational Doppler shift from OAM correlations can be constructed from a standard OAM modesorter combined with a phase filter.

© 2017 Optical Society of America

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References

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2017 (1)

C. Wan, C. Jian, and Z. Qiwen, “Compact and high-resolution optical orbital angular momentum sorter,” APL Photonics 2(3), 031302 (2017).
[Crossref]

2016 (2)

2014 (5)

2013 (3)

M. Mirhosseini, M. Malik, Z. Shi, and R. Boyd, “Efficient separation of the orbital angular momentum eigenstates of light,” Nat. Commun. 4, 2781 (2013).
[Crossref] [PubMed]

M. Lavery, F. Speirits, S. Barnett, and M. Padgett, “Detection of a spinning object using light’s orbital angular momentum,” Science 341(6415), 537–540 (2013).
[Crossref] [PubMed]

C. Rosales-Guzmán, N. Hermosa, A. Belmonte, and J. Torres, “Experimental detection of transverse particle movement with structured light,” Sci. Rep. 3, 2815 (2013).
[Crossref] [PubMed]

2012 (6)

V. Salakhutdinov, E. Eliel, and W. Löffler, “Full-field quantum correlations of spatially entangled photons,” Phys. Rev. Lett. 108(17), 173604 (2012).
[Crossref] [PubMed]

N. Jovanovic, P. Tuthill, B. Norris, S. Gross, P. Stewart, N. Charles, S. Lacour, M. Ams, J. Lawrence, A. Lehmann, and C. Niel, “Starlight demonstration of the Dragonfly instrument: an integrated photonic pupil-remapping interferometer for high-contrast imaging,” Mon. Not. R. Astron. Soc. 427(1), 806–815 (2012).
[Crossref]

N. Cvetojevic, N. Jovanovic, C. Betters, J. Lawrence, S. Ellis, G. Robertson, and J. Bland-Hawthorn, “First starlight spectrum captured using an integrated photonic micro-spectrograph,” Astron. Astrophys. 544, L1 (2012).
[Crossref]

M. Lavery, D. Robertson, G. Berkhout, G. Love, M. Padgett, and J. Courtial, “Refractive elements for the measurement of the orbital angular momentum of a single photon,” Opt. Express 20(3), 2110–2115 (2012). While this concept
[Crossref] [PubMed]

T. Su, R. Scott, S. Djordjevic, N. Fontaine, D. Geisler, X. Cai, and S. Yoo, “Demonstration of free space coherent optical communication using integrated silicon photonic orbital angular momentum devices,” Opt. Express 20(9), 9396–9402 (2012).
[Crossref] [PubMed]

M. O’Sullivan, M. Mirhosseini, M. Malik, and R. Boyd, “Near-perfect sorting of orbital angular momentum and angular position states of light,” Opt. Express 20(22), 24444–24449 (2012).
[Crossref]

2011 (1)

F. Tamburini, B. Thidé, G. Molina-Terriza, and G. Anzolin, “Twisting of light around rotating black holes,” Nature Phys. 7(3), 195–197 (2011).
[Crossref]

2010 (2)

G. Berkhout, M. Lavery, J. Courtial, M. Beijersbergen, and M. Padgett, “Efficient sorting of orbital angular momentum states of light,” Phys. Rev. Lett. 105(15), 153601 (2010).
[Crossref]

G. Reed, G. Mashanovich, F. Gardes, and D. Thomson, “Silicon optical modulators,” Nat. Photon. 4(8), 518–526 (2010).
[Crossref]

2009 (2)

2008 (3)

A. Politi, M. Cryan, J. Rarity, S. Yu, and J. O’brien, “Silica-on-silicon waveguide quantum circuits,” Science 320(5876), 646–649 (2008).
[Crossref] [PubMed]

C. Osorio, G. Molina-Terriza, and J. Torres, “Correlations in orbital angular momentum of spatially entangled paired photons generated in parametric down-conversion,” Phys. Rev. A 77(1), 015810 (2008).
[Crossref]

N. Elias, “Photon orbital angular momentum in astronomy,” Astron. Astrophys 492(3), 883–922 (2008).
[Crossref]

2004 (1)

I. Baldry, J. Bland-Hawthorn, and J. Robertson, “Volume phase holographic gratings: polarization properties and diffraction efficiency,” Publ. Astron. Soc. Pac. 116(819), 403 (2004).
[Crossref]

2003 (1)

M. Harwit, “Photon orbital angular momentum in astrophysics,” Astrophys. J. 597(2), 1266 (2003).
[Crossref]

2001 (1)

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature 412(6844), 313–316 (2001).
[Crossref] [PubMed]

1995 (1)

C. Zhao, G. Li, E. Liu, Y. Gao, and X. Liu, “Silicon on insulator mach-zehnder waveguide interferometers operating at 1.3 μm,” Appl. Phys. Lett. 67(17), 2448–2449 (1995).
[Crossref]

1991 (1)

m G. Treyz, P. May, and J. Halbout, “Silicon mach-zehnder waveguide interferometers based on the plasma dispersion effect,” Appl. Phys. Lett. 59(7), 771–773 (1991).
[Crossref]

1989 (1)

J. Bland and R. Tully, “The Hawaii imaging fabry-perot interferometer (HIFI),” Astron. J. 98, 723–735 (1989).
[Crossref]

1981 (1)

1891 (1)

A. Michelson, “Measurement of jupiter’s satellites by interference,” Publ. Astron. Soc. Pac. 3(17), 274–278 (1891).
[Crossref]

Ahmed, N.

Ams, M.

N. Jovanovic, P. Tuthill, B. Norris, S. Gross, P. Stewart, N. Charles, S. Lacour, M. Ams, J. Lawrence, A. Lehmann, and C. Niel, “Starlight demonstration of the Dragonfly instrument: an integrated photonic pupil-remapping interferometer for high-contrast imaging,” Mon. Not. R. Astron. Soc. 427(1), 806–815 (2012).
[Crossref]

Anzolin, G.

F. Tamburini, B. Thidé, G. Molina-Terriza, and G. Anzolin, “Twisting of light around rotating black holes,” Nature Phys. 7(3), 195–197 (2011).
[Crossref]

Baldry, I.

I. Baldry, J. Bland-Hawthorn, and J. Robertson, “Volume phase holographic gratings: polarization properties and diffraction efficiency,” Publ. Astron. Soc. Pac. 116(819), 403 (2004).
[Crossref]

Barnett, S.

M. Lavery, S. Barnett, F. Speirits, and M. Padgett, “Observation of the rotational doppler shift of a white-light, orbital-angular-momentum-carrying beam backscattered from a rotating body,” Optica 1(1), 1–4 (2014).
[Crossref]

M. Lavery, F. Speirits, S. Barnett, and M. Padgett, “Detection of a spinning object using light’s orbital angular momentum,” Science 341(6415), 537–540 (2013).
[Crossref] [PubMed]

Beijersbergen, M.

G. Berkhout, M. Lavery, J. Courtial, M. Beijersbergen, and M. Padgett, “Efficient sorting of orbital angular momentum states of light,” Phys. Rev. Lett. 105(15), 153601 (2010).
[Crossref]

Belmonte, A.

C. Rosales-Guzmán, N. Hermosa, A. Belmonte, and J. Torres, “Measuring the translational and rotational velocities of particles in helical motion using structured light,” Opt. Express 22(13), 16504–16509 (2014).
[Crossref] [PubMed]

C. Rosales-Guzmán, N. Hermosa, A. Belmonte, and J. Torres, “Experimental detection of transverse particle movement with structured light,” Sci. Rep. 3, 2815 (2013).
[Crossref] [PubMed]

Berkhout, G.

M. Lavery, D. Robertson, G. Berkhout, G. Love, M. Padgett, and J. Courtial, “Refractive elements for the measurement of the orbital angular momentum of a single photon,” Opt. Express 20(3), 2110–2115 (2012). While this concept
[Crossref] [PubMed]

G. Berkhout, M. Lavery, J. Courtial, M. Beijersbergen, and M. Padgett, “Efficient sorting of orbital angular momentum states of light,” Phys. Rev. Lett. 105(15), 153601 (2010).
[Crossref]

Betters, C.

N. Cvetojevic, N. Jovanovic, C. Betters, J. Lawrence, S. Ellis, G. Robertson, and J. Bland-Hawthorn, “First starlight spectrum captured using an integrated photonic micro-spectrograph,” Astron. Astrophys. 544, L1 (2012).
[Crossref]

Bland, J.

J. Bland and R. Tully, “The Hawaii imaging fabry-perot interferometer (HIFI),” Astron. J. 98, 723–735 (1989).
[Crossref]

Bland-Hawthorn, J.

N. Cvetojevic, N. Jovanovic, C. Betters, J. Lawrence, S. Ellis, G. Robertson, and J. Bland-Hawthorn, “First starlight spectrum captured using an integrated photonic micro-spectrograph,” Astron. Astrophys. 544, L1 (2012).
[Crossref]

J. Bland-Hawthorn and P. Kern, “Astrophotonics: a new era for astronomical instruments,” Opt. Express 17(3), 1880–1884 (2009).
[Crossref] [PubMed]

N. Cvetojevic, J. Lawrence, S. Ellis, J. Bland-Hawthorn, R. Haynes, and A. Horton, “Characterization and on-sky demonstration of an integrated photonic spectrograph for astronomy,” Opt. Express 17(21), 18643–18650 (2009).
[Crossref]

I. Baldry, J. Bland-Hawthorn, and J. Robertson, “Volume phase holographic gratings: polarization properties and diffraction efficiency,” Publ. Astron. Soc. Pac. 116(819), 403 (2004).
[Crossref]

Boyd, R.

M. Mirhosseini, M. Malik, Z. Shi, and R. Boyd, “Efficient separation of the orbital angular momentum eigenstates of light,” Nat. Commun. 4, 2781 (2013).
[Crossref] [PubMed]

M. O’Sullivan, M. Mirhosseini, M. Malik, and R. Boyd, “Near-perfect sorting of orbital angular momentum and angular position states of light,” Opt. Express 20(22), 24444–24449 (2012).
[Crossref]

Buhl, L.

N. Fontaine, C. Doerr, and L. Buhl, “Efficient multiplexing and demultiplexing of free-space orbital angular momentum using photonic integrated circuits,” in Optical Fiber Communication Conference and Exposition (OFC/NFOEC) and the National Fiber Optic Engineers Conference, (IEEE, 2012), pp. 1–3.

Cai, X.

Cappuzzo, M.

Charles, N.

N. Jovanovic, P. Tuthill, B. Norris, S. Gross, P. Stewart, N. Charles, S. Lacour, M. Ams, J. Lawrence, A. Lehmann, and C. Niel, “Starlight demonstration of the Dragonfly instrument: an integrated photonic pupil-remapping interferometer for high-contrast imaging,” Mon. Not. R. Astron. Soc. 427(1), 806–815 (2012).
[Crossref]

Courtial, J.

M. Lavery, D. Robertson, G. Berkhout, G. Love, M. Padgett, and J. Courtial, “Refractive elements for the measurement of the orbital angular momentum of a single photon,” Opt. Express 20(3), 2110–2115 (2012). While this concept
[Crossref] [PubMed]

G. Berkhout, M. Lavery, J. Courtial, M. Beijersbergen, and M. Padgett, “Efficient sorting of orbital angular momentum states of light,” Phys. Rev. Lett. 105(15), 153601 (2010).
[Crossref]

Cryan, M.

A. Politi, M. Cryan, J. Rarity, S. Yu, and J. O’brien, “Silica-on-silicon waveguide quantum circuits,” Science 320(5876), 646–649 (2008).
[Crossref] [PubMed]

Cvetojevic, N.

N. Cvetojevic, N. Jovanovic, C. Betters, J. Lawrence, S. Ellis, G. Robertson, and J. Bland-Hawthorn, “First starlight spectrum captured using an integrated photonic micro-spectrograph,” Astron. Astrophys. 544, L1 (2012).
[Crossref]

N. Cvetojevic, J. Lawrence, S. Ellis, J. Bland-Hawthorn, R. Haynes, and A. Horton, “Characterization and on-sky demonstration of an integrated photonic spectrograph for astronomy,” Opt. Express 17(21), 18643–18650 (2009).
[Crossref]

Djordjevic, S.

Doerr, C.

N. Fontaine, C. Doerr, and L. Buhl, “Efficient multiplexing and demultiplexing of free-space orbital angular momentum using photonic integrated circuits,” in Optical Fiber Communication Conference and Exposition (OFC/NFOEC) and the National Fiber Optic Engineers Conference, (IEEE, 2012), pp. 1–3.

Dolinar, S.

Dong, J.

Earnshaw, M.

Elias, N.

N. Elias, “Photon orbital angular momentum in astronomy,” Astron. Astrophys 492(3), 883–922 (2008).
[Crossref]

Eliel, E.

V. Salakhutdinov, E. Eliel, and W. Löffler, “Full-field quantum correlations of spatially entangled photons,” Phys. Rev. Lett. 108(17), 173604 (2012).
[Crossref] [PubMed]

Ellis, S.

N. Cvetojevic, N. Jovanovic, C. Betters, J. Lawrence, S. Ellis, G. Robertson, and J. Bland-Hawthorn, “First starlight spectrum captured using an integrated photonic micro-spectrograph,” Astron. Astrophys. 544, L1 (2012).
[Crossref]

N. Cvetojevic, J. Lawrence, S. Ellis, J. Bland-Hawthorn, R. Haynes, and A. Horton, “Characterization and on-sky demonstration of an integrated photonic spectrograph for astronomy,” Opt. Express 17(21), 18643–18650 (2009).
[Crossref]

Ferrari, C.

Fontaine, N.

Fu, D.

Gao, Y.

C. Zhao, G. Li, E. Liu, Y. Gao, and X. Liu, “Silicon on insulator mach-zehnder waveguide interferometers operating at 1.3 μm,” Appl. Phys. Lett. 67(17), 2448–2449 (1995).
[Crossref]

Gardes, F.

G. Reed, G. Mashanovich, F. Gardes, and D. Thomson, “Silicon optical modulators,” Nat. Photon. 4(8), 518–526 (2010).
[Crossref]

Garetz, B.

Geisler, D.

Gross, S.

N. Jovanovic, P. Tuthill, B. Norris, S. Gross, P. Stewart, N. Charles, S. Lacour, M. Ams, J. Lawrence, A. Lehmann, and C. Niel, “Starlight demonstration of the Dragonfly instrument: an integrated photonic pupil-remapping interferometer for high-contrast imaging,” Mon. Not. R. Astron. Soc. 427(1), 806–815 (2012).
[Crossref]

Guan, B.

Halbout, J.

m G. Treyz, P. May, and J. Halbout, “Silicon mach-zehnder waveguide interferometers based on the plasma dispersion effect,” Appl. Phys. Lett. 59(7), 771–773 (1991).
[Crossref]

Harwit, M.

M. Harwit, “Photon orbital angular momentum in astrophysics,” Astrophys. J. 597(2), 1266 (2003).
[Crossref]

Haynes, R.

Hermosa, N.

C. Rosales-Guzmán, N. Hermosa, A. Belmonte, and J. Torres, “Measuring the translational and rotational velocities of particles in helical motion using structured light,” Opt. Express 22(13), 16504–16509 (2014).
[Crossref] [PubMed]

C. Rosales-Guzmán, N. Hermosa, A. Belmonte, and J. Torres, “Experimental detection of transverse particle movement with structured light,” Sci. Rep. 3, 2815 (2013).
[Crossref] [PubMed]

Hetharia, D.

D. Hetharia, M. van Exter, and W. Löffler, “Spatial coherence and the orbital angular momentum of light in astronomy,” Phys. Rev. A 90(6), 063801 (2014).
[Crossref]

Horton, A.

Huang, H.

Jian, C.

C. Wan, C. Jian, and Z. Qiwen, “Compact and high-resolution optical orbital angular momentum sorter,” APL Photonics 2(3), 031302 (2017).
[Crossref]

Jovanovic, N.

N. Jovanovic, P. Tuthill, B. Norris, S. Gross, P. Stewart, N. Charles, S. Lacour, M. Ams, J. Lawrence, A. Lehmann, and C. Niel, “Starlight demonstration of the Dragonfly instrument: an integrated photonic pupil-remapping interferometer for high-contrast imaging,” Mon. Not. R. Astron. Soc. 427(1), 806–815 (2012).
[Crossref]

N. Cvetojevic, N. Jovanovic, C. Betters, J. Lawrence, S. Ellis, G. Robertson, and J. Bland-Hawthorn, “First starlight spectrum captured using an integrated photonic micro-spectrograph,” Astron. Astrophys. 544, L1 (2012).
[Crossref]

Keller, B.

Kern, P.

Klemens, F.

Lacour, S.

N. Jovanovic, P. Tuthill, B. Norris, S. Gross, P. Stewart, N. Charles, S. Lacour, M. Ams, J. Lawrence, A. Lehmann, and C. Niel, “Starlight demonstration of the Dragonfly instrument: an integrated photonic pupil-remapping interferometer for high-contrast imaging,” Mon. Not. R. Astron. Soc. 427(1), 806–815 (2012).
[Crossref]

Lavery, M.

Lawrence, J.

N. Cvetojevic, N. Jovanovic, C. Betters, J. Lawrence, S. Ellis, G. Robertson, and J. Bland-Hawthorn, “First starlight spectrum captured using an integrated photonic micro-spectrograph,” Astron. Astrophys. 544, L1 (2012).
[Crossref]

N. Jovanovic, P. Tuthill, B. Norris, S. Gross, P. Stewart, N. Charles, S. Lacour, M. Ams, J. Lawrence, A. Lehmann, and C. Niel, “Starlight demonstration of the Dragonfly instrument: an integrated photonic pupil-remapping interferometer for high-contrast imaging,” Mon. Not. R. Astron. Soc. 427(1), 806–815 (2012).
[Crossref]

N. Cvetojevic, J. Lawrence, S. Ellis, J. Bland-Hawthorn, R. Haynes, and A. Horton, “Characterization and on-sky demonstration of an integrated photonic spectrograph for astronomy,” Opt. Express 17(21), 18643–18650 (2009).
[Crossref]

Lehmann, A.

N. Jovanovic, P. Tuthill, B. Norris, S. Gross, P. Stewart, N. Charles, S. Lacour, M. Ams, J. Lawrence, A. Lehmann, and C. Niel, “Starlight demonstration of the Dragonfly instrument: an integrated photonic pupil-remapping interferometer for high-contrast imaging,” Mon. Not. R. Astron. Soc. 427(1), 806–815 (2012).
[Crossref]

Li, G.

C. Zhao, G. Li, E. Liu, Y. Gao, and X. Liu, “Silicon on insulator mach-zehnder waveguide interferometers operating at 1.3 μm,” Appl. Phys. Lett. 67(17), 2448–2449 (1995).
[Crossref]

Liu, E.

C. Zhao, G. Li, E. Liu, Y. Gao, and X. Liu, “Silicon on insulator mach-zehnder waveguide interferometers operating at 1.3 μm,” Appl. Phys. Lett. 67(17), 2448–2449 (1995).
[Crossref]

Liu, X.

C. Zhao, G. Li, E. Liu, Y. Gao, and X. Liu, “Silicon on insulator mach-zehnder waveguide interferometers operating at 1.3 μm,” Appl. Phys. Lett. 67(17), 2448–2449 (1995).
[Crossref]

Löffler, W.

D. Hetharia, M. van Exter, and W. Löffler, “Spatial coherence and the orbital angular momentum of light in astronomy,” Phys. Rev. A 90(6), 063801 (2014).
[Crossref]

V. Salakhutdinov, E. Eliel, and W. Löffler, “Full-field quantum correlations of spatially entangled photons,” Phys. Rev. Lett. 108(17), 173604 (2012).
[Crossref] [PubMed]

Love, G.

Mair, A.

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature 412(6844), 313–316 (2001).
[Crossref] [PubMed]

Malik, M.

M. Mirhosseini, M. Malik, Z. Shi, and R. Boyd, “Efficient separation of the orbital angular momentum eigenstates of light,” Nat. Commun. 4, 2781 (2013).
[Crossref] [PubMed]

M. O’Sullivan, M. Mirhosseini, M. Malik, and R. Boyd, “Near-perfect sorting of orbital angular momentum and angular position states of light,” Opt. Express 20(22), 24444–24449 (2012).
[Crossref]

Mashanovich, G.

G. Reed, G. Mashanovich, F. Gardes, and D. Thomson, “Silicon optical modulators,” Nat. Photon. 4(8), 518–526 (2010).
[Crossref]

May, P.

m G. Treyz, P. May, and J. Halbout, “Silicon mach-zehnder waveguide interferometers based on the plasma dispersion effect,” Appl. Phys. Lett. 59(7), 771–773 (1991).
[Crossref]

Michelson, A.

A. Michelson, “Measurement of jupiter’s satellites by interference,” Publ. Astron. Soc. Pac. 3(17), 274–278 (1891).
[Crossref]

Mirhosseini, M.

M. Mirhosseini, M. Malik, Z. Shi, and R. Boyd, “Efficient separation of the orbital angular momentum eigenstates of light,” Nat. Commun. 4, 2781 (2013).
[Crossref] [PubMed]

M. O’Sullivan, M. Mirhosseini, M. Malik, and R. Boyd, “Near-perfect sorting of orbital angular momentum and angular position states of light,” Opt. Express 20(22), 24444–24449 (2012).
[Crossref]

Molina-Terriza, G.

F. Tamburini, B. Thidé, G. Molina-Terriza, and G. Anzolin, “Twisting of light around rotating black holes,” Nature Phys. 7(3), 195–197 (2011).
[Crossref]

C. Osorio, G. Molina-Terriza, and J. Torres, “Correlations in orbital angular momentum of spatially entangled paired photons generated in parametric down-conversion,” Phys. Rev. A 77(1), 015810 (2008).
[Crossref]

Niel, C.

N. Jovanovic, P. Tuthill, B. Norris, S. Gross, P. Stewart, N. Charles, S. Lacour, M. Ams, J. Lawrence, A. Lehmann, and C. Niel, “Starlight demonstration of the Dragonfly instrument: an integrated photonic pupil-remapping interferometer for high-contrast imaging,” Mon. Not. R. Astron. Soc. 427(1), 806–815 (2012).
[Crossref]

Norris, B.

N. Jovanovic, P. Tuthill, B. Norris, S. Gross, P. Stewart, N. Charles, S. Lacour, M. Ams, J. Lawrence, A. Lehmann, and C. Niel, “Starlight demonstration of the Dragonfly instrument: an integrated photonic pupil-remapping interferometer for high-contrast imaging,” Mon. Not. R. Astron. Soc. 427(1), 806–815 (2012).
[Crossref]

O’brien, J.

A. Politi, M. Cryan, J. Rarity, S. Yu, and J. O’brien, “Silica-on-silicon waveguide quantum circuits,” Science 320(5876), 646–649 (2008).
[Crossref] [PubMed]

O’Sullivan, M.

Osorio, C.

C. Osorio, G. Molina-Terriza, and J. Torres, “Correlations in orbital angular momentum of spatially entangled paired photons generated in parametric down-conversion,” Phys. Rev. A 77(1), 015810 (2008).
[Crossref]

Padgett, M.

Politi, A.

A. Politi, M. Cryan, J. Rarity, S. Yu, and J. O’brien, “Silica-on-silicon waveguide quantum circuits,” Science 320(5876), 646–649 (2008).
[Crossref] [PubMed]

Qin, C.

Qiwen, Z.

C. Wan, C. Jian, and Z. Qiwen, “Compact and high-resolution optical orbital angular momentum sorter,” APL Photonics 2(3), 031302 (2017).
[Crossref]

Rarity, J.

A. Politi, M. Cryan, J. Rarity, S. Yu, and J. O’brien, “Silica-on-silicon waveguide quantum circuits,” Science 320(5876), 646–649 (2008).
[Crossref] [PubMed]

Reed, G.

G. Reed, G. Mashanovich, F. Gardes, and D. Thomson, “Silicon optical modulators,” Nat. Photon. 4(8), 518–526 (2010).
[Crossref]

Ren, Y.

Robertson, D.

Robertson, G.

N. Cvetojevic, N. Jovanovic, C. Betters, J. Lawrence, S. Ellis, G. Robertson, and J. Bland-Hawthorn, “First starlight spectrum captured using an integrated photonic micro-spectrograph,” Astron. Astrophys. 544, L1 (2012).
[Crossref]

Robertson, J.

I. Baldry, J. Bland-Hawthorn, and J. Robertson, “Volume phase holographic gratings: polarization properties and diffraction efficiency,” Publ. Astron. Soc. Pac. 116(819), 403 (2004).
[Crossref]

Rosales-Guzmán, C.

C. Rosales-Guzmán, N. Hermosa, A. Belmonte, and J. Torres, “Measuring the translational and rotational velocities of particles in helical motion using structured light,” Opt. Express 22(13), 16504–16509 (2014).
[Crossref] [PubMed]

C. Rosales-Guzmán, N. Hermosa, A. Belmonte, and J. Torres, “Experimental detection of transverse particle movement with structured light,” Sci. Rep. 3, 2815 (2013).
[Crossref] [PubMed]

Rose, M.

M. Rose, Elementary theory of angular momentum (Courier Corporation, 1995).

Salakhutdinov, V.

V. Salakhutdinov, E. Eliel, and W. Löffler, “Full-field quantum correlations of spatially entangled photons,” Phys. Rev. Lett. 108(17), 173604 (2012).
[Crossref] [PubMed]

Scott, R.

Shi, Z.

M. Mirhosseini, M. Malik, Z. Shi, and R. Boyd, “Efficient separation of the orbital angular momentum eigenstates of light,” Nat. Commun. 4, 2781 (2013).
[Crossref] [PubMed]

Speirits, F.

M. Lavery, S. Barnett, F. Speirits, and M. Padgett, “Observation of the rotational doppler shift of a white-light, orbital-angular-momentum-carrying beam backscattered from a rotating body,” Optica 1(1), 1–4 (2014).
[Crossref]

M. Lavery, F. Speirits, S. Barnett, and M. Padgett, “Detection of a spinning object using light’s orbital angular momentum,” Science 341(6415), 537–540 (2013).
[Crossref] [PubMed]

Stewart, P.

N. Jovanovic, P. Tuthill, B. Norris, S. Gross, P. Stewart, N. Charles, S. Lacour, M. Ams, J. Lawrence, A. Lehmann, and C. Niel, “Starlight demonstration of the Dragonfly instrument: an integrated photonic pupil-remapping interferometer for high-contrast imaging,” Mon. Not. R. Astron. Soc. 427(1), 806–815 (2012).
[Crossref]

Su, T.

Tamburini, F.

F. Tamburini, B. Thidé, G. Molina-Terriza, and G. Anzolin, “Twisting of light around rotating black holes,” Nature Phys. 7(3), 195–197 (2011).
[Crossref]

Thidé, B.

F. Tamburini, B. Thidé, G. Molina-Terriza, and G. Anzolin, “Twisting of light around rotating black holes,” Nature Phys. 7(3), 195–197 (2011).
[Crossref]

Thomson, D.

G. Reed, G. Mashanovich, F. Gardes, and D. Thomson, “Silicon optical modulators,” Nat. Photon. 4(8), 518–526 (2010).
[Crossref]

Torres, J.

C. Rosales-Guzmán, N. Hermosa, A. Belmonte, and J. Torres, “Measuring the translational and rotational velocities of particles in helical motion using structured light,” Opt. Express 22(13), 16504–16509 (2014).
[Crossref] [PubMed]

C. Rosales-Guzmán, N. Hermosa, A. Belmonte, and J. Torres, “Experimental detection of transverse particle movement with structured light,” Sci. Rep. 3, 2815 (2013).
[Crossref] [PubMed]

C. Osorio, G. Molina-Terriza, and J. Torres, “Correlations in orbital angular momentum of spatially entangled paired photons generated in parametric down-conversion,” Phys. Rev. A 77(1), 015810 (2008).
[Crossref]

Treyz, m G.

m G. Treyz, P. May, and J. Halbout, “Silicon mach-zehnder waveguide interferometers based on the plasma dispersion effect,” Appl. Phys. Lett. 59(7), 771–773 (1991).
[Crossref]

Tully, R.

J. Bland and R. Tully, “The Hawaii imaging fabry-perot interferometer (HIFI),” Astron. J. 98, 723–735 (1989).
[Crossref]

Tur, M.

Tuthill, P.

N. Jovanovic, P. Tuthill, B. Norris, S. Gross, P. Stewart, N. Charles, S. Lacour, M. Ams, J. Lawrence, A. Lehmann, and C. Niel, “Starlight demonstration of the Dragonfly instrument: an integrated photonic pupil-remapping interferometer for high-contrast imaging,” Mon. Not. R. Astron. Soc. 427(1), 806–815 (2012).
[Crossref]

van Exter, M.

D. Hetharia, M. van Exter, and W. Löffler, “Spatial coherence and the orbital angular momentum of light in astronomy,” Phys. Rev. A 90(6), 063801 (2014).
[Crossref]

Vaziri, A.

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature 412(6844), 313–316 (2001).
[Crossref] [PubMed]

Walsh, G.

Wan, C.

C. Wan, C. Jian, and Z. Qiwen, “Compact and high-resolution optical orbital angular momentum sorter,” APL Photonics 2(3), 031302 (2017).
[Crossref]

Weihs, G.

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature 412(6844), 313–316 (2001).
[Crossref] [PubMed]

Willner, A.

Xie, G.

Yan, Y.

Yoo, S.

Yu, S.

A. Politi, M. Cryan, J. Rarity, S. Yu, and J. O’brien, “Silica-on-silicon waveguide quantum circuits,” Science 320(5876), 646–649 (2008).
[Crossref] [PubMed]

Yue, Y.

Zeilinger, A.

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature 412(6844), 313–316 (2001).
[Crossref] [PubMed]

Zhang, P.

Zhang, X.

Zhao, C.

C. Zhao, G. Li, E. Liu, Y. Gao, and X. Liu, “Silicon on insulator mach-zehnder waveguide interferometers operating at 1.3 μm,” Appl. Phys. Lett. 67(17), 2448–2449 (1995).
[Crossref]

Zhou, H.

APL Photonics (1)

C. Wan, C. Jian, and Z. Qiwen, “Compact and high-resolution optical orbital angular momentum sorter,” APL Photonics 2(3), 031302 (2017).
[Crossref]

Appl. Phys. Lett. (2)

m G. Treyz, P. May, and J. Halbout, “Silicon mach-zehnder waveguide interferometers based on the plasma dispersion effect,” Appl. Phys. Lett. 59(7), 771–773 (1991).
[Crossref]

C. Zhao, G. Li, E. Liu, Y. Gao, and X. Liu, “Silicon on insulator mach-zehnder waveguide interferometers operating at 1.3 μm,” Appl. Phys. Lett. 67(17), 2448–2449 (1995).
[Crossref]

Astron. Astrophys (1)

N. Elias, “Photon orbital angular momentum in astronomy,” Astron. Astrophys 492(3), 883–922 (2008).
[Crossref]

Astron. Astrophys. (1)

N. Cvetojevic, N. Jovanovic, C. Betters, J. Lawrence, S. Ellis, G. Robertson, and J. Bland-Hawthorn, “First starlight spectrum captured using an integrated photonic micro-spectrograph,” Astron. Astrophys. 544, L1 (2012).
[Crossref]

Astron. J. (1)

J. Bland and R. Tully, “The Hawaii imaging fabry-perot interferometer (HIFI),” Astron. J. 98, 723–735 (1989).
[Crossref]

Astrophys. J. (1)

M. Harwit, “Photon orbital angular momentum in astrophysics,” Astrophys. J. 597(2), 1266 (2003).
[Crossref]

J. Opt. Soc. Am. (1)

Mon. Not. R. Astron. Soc. (1)

N. Jovanovic, P. Tuthill, B. Norris, S. Gross, P. Stewart, N. Charles, S. Lacour, M. Ams, J. Lawrence, A. Lehmann, and C. Niel, “Starlight demonstration of the Dragonfly instrument: an integrated photonic pupil-remapping interferometer for high-contrast imaging,” Mon. Not. R. Astron. Soc. 427(1), 806–815 (2012).
[Crossref]

Nat. Commun. (1)

M. Mirhosseini, M. Malik, Z. Shi, and R. Boyd, “Efficient separation of the orbital angular momentum eigenstates of light,” Nat. Commun. 4, 2781 (2013).
[Crossref] [PubMed]

Nat. Photon. (1)

G. Reed, G. Mashanovich, F. Gardes, and D. Thomson, “Silicon optical modulators,” Nat. Photon. 4(8), 518–526 (2010).
[Crossref]

Nature (1)

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature 412(6844), 313–316 (2001).
[Crossref] [PubMed]

Nature Phys. (1)

F. Tamburini, B. Thidé, G. Molina-Terriza, and G. Anzolin, “Twisting of light around rotating black holes,” Nature Phys. 7(3), 195–197 (2011).
[Crossref]

Opt. Express (9)

H. Zhou, D. Fu, J. Dong, P. Zhang, and X. Zhang, “Theoretical analysis and experimental verification on optical rotational doppler effect,” Opt. Express 24(9), 10050–10056 (2016).
[Crossref] [PubMed]

C. Rosales-Guzmán, N. Hermosa, A. Belmonte, and J. Torres, “Measuring the translational and rotational velocities of particles in helical motion using structured light,” Opt. Express 22(13), 16504–16509 (2014).
[Crossref] [PubMed]

G. Walsh, “Pancharatnam-Berry optical element sorter of full angular momentum eigenstate,” Opt. Express 24(6), 6689–6704 (2016).
[Crossref] [PubMed]

B. Guan, R. Scott, C. Qin, N. Fontaine, T. Su, C. Ferrari, M. Cappuzzo, F. Klemens, B. Keller, M. Earnshaw, and S. Yoo, “Free-space coherent optical communication with orbital ang.ular, momentum multiplexing/demultiplexing using a hybrid 3D photonic integrated circuit,” Opt. Express 22(1), 145–156 (2014).
[Crossref] [PubMed]

T. Su, R. Scott, S. Djordjevic, N. Fontaine, D. Geisler, X. Cai, and S. Yoo, “Demonstration of free space coherent optical communication using integrated silicon photonic orbital angular momentum devices,” Opt. Express 20(9), 9396–9402 (2012).
[Crossref] [PubMed]

N. Cvetojevic, J. Lawrence, S. Ellis, J. Bland-Hawthorn, R. Haynes, and A. Horton, “Characterization and on-sky demonstration of an integrated photonic spectrograph for astronomy,” Opt. Express 17(21), 18643–18650 (2009).
[Crossref]

J. Bland-Hawthorn and P. Kern, “Astrophotonics: a new era for astronomical instruments,” Opt. Express 17(3), 1880–1884 (2009).
[Crossref] [PubMed]

M. Lavery, D. Robertson, G. Berkhout, G. Love, M. Padgett, and J. Courtial, “Refractive elements for the measurement of the orbital angular momentum of a single photon,” Opt. Express 20(3), 2110–2115 (2012). While this concept
[Crossref] [PubMed]

M. O’Sullivan, M. Mirhosseini, M. Malik, and R. Boyd, “Near-perfect sorting of orbital angular momentum and angular position states of light,” Opt. Express 20(22), 24444–24449 (2012).
[Crossref]

Opt. Lett. (1)

Optica (1)

Phys. Rev. A (2)

D. Hetharia, M. van Exter, and W. Löffler, “Spatial coherence and the orbital angular momentum of light in astronomy,” Phys. Rev. A 90(6), 063801 (2014).
[Crossref]

C. Osorio, G. Molina-Terriza, and J. Torres, “Correlations in orbital angular momentum of spatially entangled paired photons generated in parametric down-conversion,” Phys. Rev. A 77(1), 015810 (2008).
[Crossref]

Phys. Rev. Lett. (2)

V. Salakhutdinov, E. Eliel, and W. Löffler, “Full-field quantum correlations of spatially entangled photons,” Phys. Rev. Lett. 108(17), 173604 (2012).
[Crossref] [PubMed]

G. Berkhout, M. Lavery, J. Courtial, M. Beijersbergen, and M. Padgett, “Efficient sorting of orbital angular momentum states of light,” Phys. Rev. Lett. 105(15), 153601 (2010).
[Crossref]

Publ. Astron. Soc. Pac. (2)

A. Michelson, “Measurement of jupiter’s satellites by interference,” Publ. Astron. Soc. Pac. 3(17), 274–278 (1891).
[Crossref]

I. Baldry, J. Bland-Hawthorn, and J. Robertson, “Volume phase holographic gratings: polarization properties and diffraction efficiency,” Publ. Astron. Soc. Pac. 116(819), 403 (2004).
[Crossref]

Sci. Rep. (1)

C. Rosales-Guzmán, N. Hermosa, A. Belmonte, and J. Torres, “Experimental detection of transverse particle movement with structured light,” Sci. Rep. 3, 2815 (2013).
[Crossref] [PubMed]

Science (2)

M. Lavery, F. Speirits, S. Barnett, and M. Padgett, “Detection of a spinning object using light’s orbital angular momentum,” Science 341(6415), 537–540 (2013).
[Crossref] [PubMed]

A. Politi, M. Cryan, J. Rarity, S. Yu, and J. O’brien, “Silica-on-silicon waveguide quantum circuits,” Science 320(5876), 646–649 (2008).
[Crossref] [PubMed]

Other (3)

M. Rose, Elementary theory of angular momentum (Courier Corporation, 1995).

N. Fontaine, C. Doerr, and L. Buhl, “Efficient multiplexing and demultiplexing of free-space orbital angular momentum using photonic integrated circuits,” in Optical Fiber Communication Conference and Exposition (OFC/NFOEC) and the National Fiber Optic Engineers Conference, (IEEE, 2012), pp. 1–3.

M. Kaufman, “A four planet system in orbit, directly imaged and remarkable,” https://astrobiology.nasa.gov/news/a-four-planet-system-in-orbit-directly-imaged-and-remarkable .

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Figures (4)

Fig. 1
Fig. 1 Single resolved star located at (r0 cos ϕ0, r0 sin ϕ0) from the measurement axis.
Fig. 2
Fig. 2 a) Amplitude and b) phase of the OAM correlation function of a binary star system of equal mass.
Fig. 3
Fig. 3 Schematic of proposed modesorter-based OAM interferometer. MS 1 and 2 = modesorter elements 1 and 2. OAM filter at the focal plane of the lens can be implemented using a pair of phase slits. Interference after the OAM filter is produced either with a lens or with free-space propagation.
Fig. 4
Fig. 4 Schematic of spectrograph coupled to the OAM interferometer. The first telescope lens reimages the OAM filter onto the spectrograph slit such that = 0 mode overlaps with the slit. VPH = volumetric phase hologram with σ = 1200 grooves/mm. m=1 diffraction order is used.

Equations (18)

Equations on this page are rendered with MathJax. Learn more.

Γ ( x ¯ ) = u ( x ¯ ) u * ( x ¯ )
Δ f = Δ f + Δ f = 1 2 π ( Φ v + Φ v ) = 1 2 π ( k v + ( + σ ) Ω )
E ( r , ϕ ) = = A ( r ) e i ϕ
x ¯ = ( x , y ) = ( r cos ϕ , r sin ϕ ) k ¯ = ( k x , k y ) = ( k r cos ϕ k , k r sin ϕ k )
u x 0 ( x ¯ ) = E 0 d k ¯ e i k ¯ ( x ¯ x ¯ 0 )
u x 0 ( x ¯ ) = 2 π = a ( r , r 0 ) e i ( ϕ ϕ 0 )
a ( r , r 0 ) = 𝒫 δ ( r r 0 ) r
Γ ( x ¯ , x ¯ ) = u x 0 ( x ¯ ) u x 0 * ( x ¯ )
u x 0 ( x ¯ ) u x 0 * ( x ¯ ) = [ 2 π = a ( r , r 0 ) e i ( ϕ ϕ 0 ) ] [ 2 π = a * ( r , r 0 ) e i ( ϕ ϕ 0 ) ] = ( 2 π ) 2 = = a ( r , r 0 ) a * ( r , r 0 ) e i ( ϕ ϕ ) e i ϕ 0 ( )
𝒫 = r 2 π E 0
a ( r , r 0 ) = δ ( r r 0 ) 2 π E 0
u ( x ¯ ) u * ( x ¯ ) = n = 1 N u x n ( x ¯ ) u x n * ( x ¯ ) = ( 2 π ) 2 n = 1 N = = a ( r , r n ) a * ( r , r n ) e i ( ( ϕ ϕ n ) ( ϕ ϕ n ) )
u x 0 ( x ¯ ) u x 0 * ( x ¯ ) = ( 2 π ) 2 = = a ( r , r 0 ) a * ( r , r 0 ) e i ( ( ϕ Ω t ) ( ϕ Ω t ) )
u ( x ¯ ) u * ( x ¯ ) = ( 2 π ) 2 n = 0 N = = a ( r , r n ) a * ( r , r n ) e i ( ( ϕ Ω n t ) ( ϕ Ω n t ) )
u ( x ¯ ) u * ( x ¯ ) = ( 2 π ) 2 = = a ( r , x 0 ) a * ( r , x 0 ) e i ( ϕ ϕ ) e i Ω t ( ) × ( 1 + e i π ( ) )
u 1 ( x ¯ ) u 2 * ( x ¯ ) = ( 2 π ) 2 [ a 1 ( r , x 0 ) a 2 * ( r , x 0 ) e i ( 1 ϕ 2 ϕ ) e i Ω t ( 1 2 ) ( 1 + e i π ( 1 2 ) ) + a 2 ( r , x 0 ) a 1 * ( r , x 0 ) e i ( 2 ϕ 1 ϕ ) e i Ω t ( 2 1 ) ( 1 + e i π ( 2 1 ) ) + 2 a 1 ( r , x 0 ) a 1 * ( r , x 0 ) e i 1 ( ϕ ϕ ) + 2 a 2 ( r , x 0 ) a 2 * ( r , x 0 ) e i 2 ( ϕ ϕ ) ]
u 1 ( x ¯ ) u 1 + Δ * ( x ¯ ) = ( 2 π ) 2 a 1 ( r , x 0 ) a 1 + Δ ( r , x 0 ) ( 1 + ( 1 ) Δ ) × [ e i Δ ( ϕ + Δ t ) + e i Δ ( ϕ + Ω t ) ] + 2 ( | a 1 | 2 + | a 1 + Δ 2 | ) = A ( 1 + ( 1 ) Δ ) cos ( Δ ( ϕ + Ω t ) ) + B
1 2 ( A + 4 B A 4 B ) = a 1 1 2 2 ( A + 4 B + A 4 B ) = a 2

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