Abstract

Cherenkov radiation (CR) was one of the most famous discoveries in the last century and still has broad applications in modern physics. Recently, threshold-less and reversed CRs have attracted even more attention thanks to their unique characteristics and application prospects. Here we illustrated a threshold-less CR in vacuo by using a sheet free-electron beam (FEB) to excite an oblique-lined sub-wavelength hole array. It is achieved by setting the effective velocity of emitters—resonant modes successively excited by the sheet FEB—to be greater than the speed of light in vacuo. By letting the sub-wavelength holes line up along a designed curve, we further demonstrated a focused CR with radiation being convergent to specific focusing spots, which can be located at any designed positions in space, achieving backward (reversed) as well as forward (normal) CRs in effect. This focused CR does not have the conventional Cherenkov cone, and its intensity at the focusing spot is greatly enhanced. These newly revealed threshold-less and focused CRs may lead to broad interest and attractive applications, especially for developing integrated and focused light sources in the terahertz region.

© 2018 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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References

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2018 (3)

B. P. Clarke, K. F. MacDonald, and N. I. Zheludev, “Direction-division multiplexed holographic free-electron-driven light sources,” Appl. Phys. Lett. 112, 021109 (2018).
[Crossref]

D.Yu. Sergeeva, A.A. Tishchenko, A.S. Aryshevc, and M.N. Strikhanov, Smith-Purcell radiation from concave dotted gratings, JINST,  13C02045(2018).
[Crossref]

L. Liang, W. Liu, Y. Liu, Q. Jia, L. Wang, and Y. Lu, “Multi-color and multidirectional-steerable Smith-Purcell radiation from 2D sub-wavelength hole arrays,” Appl. Phys. Lett. 113, 013501 (2018).
[Crossref]

2017 (6)

D. Y. Sergeeva, A. P. Potylitsyn, A. A. Tishchenko, and M. N. Strikhanov, “Smith-Purcell radiation from periodic beams,” Opt. Express 25(21): 26310–26328 (2017).
[Crossref] [PubMed]

R. Remez, N. Shapira, C. Roques-Carmes, R. Tirole, Y. Yang, Y. Lereah, M. Soljacic, I. Kaminer, and A. Arie, “Spectral and spatial shaping of Smith-Purcell radiation,” Phys. Rev. A 96, 061801 (2017).
[Crossref]

G. A. Naumenko, A. P. Potylitsyn, D. Yu. Sergeeva, A. A. Tishchenko, M. N. Strikhanov, and V. V. Bleko, “First experimental observation of the conical effect in Smith-Purcell radiation,” JETP Letters 105, 531–532 (2017).
[Crossref]

C. G. Wade, N. Sibalic, N. R. de Melo, J. M. Kondo, C. S. Adams, and K. J. Weatherill, “Real-time near-field terahertz imaging with atomic optical fluorescence,” Nat. Photon. 11, 40 (2017).
[Crossref]

F. Liu, L. Xiao, Y. Ye, M. Wang, K. Cui, Xue Feng, W. Zhang, and Y. Huang, “Integrated Cherenkov radiation emitter eliminating the electron velocity threshold,” Nat. Photon. 11, 289–292 (2017).
[Crossref]

Z. Y. Duan, X. Tang, Z. Wang, Y. Zhang, X. Chen, M. Chen, and Y. Gong, “Observation of the reversed Cherenkov radiation,” Nat. Communications 8, 14901 (2017).
[Crossref]

2016 (2)

G. Li, B. P. Clarke, J.-K. So, K. F. MacDonald, and N. I. Zheludev, “Holographic free-electron light source,” Nat. Comm. 7, 13705 (2016).
[Crossref]

Z. Wang, K. Yao, M. Chen, H. Chen, and Y. Liu, “Manipulating Smith-Purcell Emission with Babinet Metasurfaces,” Phys. Rev. Lett. 117, 157401 (2016).
[Crossref] [PubMed]

2015 (3)

W. Liu, “Coherent and tunable light radiation from nanoscale surface plasmons array via an exotic Smith–Purcell effect,” Opt. Lett., 40(20), 4579–4582 (2015).
[Crossref] [PubMed]

K. B. Oganesyan, “Smith-Purcell radiation amplifier,” Laser Phys. Lett. 12, 116002 (2015).
[Crossref]

D.Y. Sergeeva, A. A. Tishchenko, and M. N. Strikhanov, “Conical diffraction effect in optical and x-ray Smith-Purcell radiation,” Phys. Rev. ST Accel. Beams 18, 052801 (2015).
[Crossref]

2014 (1)

W. Liu and Z. Xu, “Special Smith-Purcell radiation from an open resonator array,” New J. Phys. 16, 073006 (2014).
[Crossref]

2012 (4)

V. V. Vorobev and A. V. Tyukhtin, “Nondivergent Cherenkov Radiation in a Wire Metamaterial,” Phys. Rev. Lett. 108, 184801 (2012).
[Crossref] [PubMed]

D. E. Fernandes, S. I. Maslovski, and M. G. Silveirinha, “Cherenkov emission in a nanowire material,” Phys. Rev. B 85, 155107 (2012).
[Crossref]

S. Antipov, C. Jing, M. Fedurin, W. Gai, A. Kanareykin, K. Kusche, P. Schoessow, V. Yakimenko, and A. Zholents, “Experimental Observation of Energy Modulation in Electron Beams Passing through Terahertz Dielectric Wakefield Structures,”Phys. Rev. Lett. 108, 144801 (2012).
[Crossref] [PubMed]

B. Jiang, C. Jing, P. Schoessow, J. Power, and W. Gai, “Formation of a novel shaped bunch to enhance transformer ratio in collinear wakefield accelerators,” Phys. Rev. ST Accel. Beams 15, 011301 (2012).
[Crossref]

2011 (2)

2009 (5)

A. Srivastava, J.-K. So, Y. Wang, J. Wang, R. S. Raju, S.-T. Han, and G.-S. Park, “Design of Sheet-Beam Electron Gun with Planar Cathode for Terahertz Devices,” J Infrared Milli Terahz Waves 30, 670–678 (2009).
[Crossref]

L. Li, J. Wang, and Y. Wang, “Generation of high-current-density sheet electron beams,” IEEE Electron Device Lett. 30(3):228–230 (2009).
[Crossref]

S. Xi, H. Chen, T. Jiang, L. Ran, J. Huangfu, B.-I. Wu, J. A. Kong, and M. Chen, “Experimental verification of reversed Cherenkov radiation in left-handed metamaterial,” Phys. Rev. Lett. 103, 194801 (2009).
[Crossref]

S. N. Galyamin, A. V. Tyukhtin, A. Kanareykin, and P. Schoessow, “Reversed Cherenkov-transition radiation by a charge crossing a left-handed medium boundary,” Phys. Rev. Lett. 103, 194802 (2009).
[Crossref]

B. M. Bolotovskii, “Vavilov-Cherenkov radiation: its discovery and application,” Physics-Uspekhi,  52(11), 1099–1110, (2009).
[Crossref]

2008 (2)

S. Antipov, L. Spentzouris, W. Gai, M. Conde, F. Franchini, R. Konecny, W. Liu, J. G. Power, Z. Yusof, and C. Jing, “Observation of wakefield generation in left-handed band of metamaterial-loaded waveguide,” J. Appl. Phys. 104, 014901 (2008).
[Crossref]

W. Zhu, A. Agrawal, and A. Nahata, “Planar plasmonic terahertz guided-wave devices,” Opt. Express 16(9):6216–6226 (2008).
[Crossref] [PubMed]

2003 (1)

C. Luo, M. Ibanescu, S. G. Johnson, and J. D. Joannopoulos, “Cerenkov Radiation in Photonic Crystals,” Science 299, 368–371 (2003).
[Crossref] [PubMed]

2001 (1)

D. Saltzberg, P. Gorham, D. Walz, C. Field, R. Iverson, A. Odian, G. Resch, P. Schoessow, and D. Williams, “Observation of the Askaryan Effect: Coherent Microwave Cherenkov Emission from Charge Asymmetry in High-Energy Particle Cascades,” Phys. Rev. Lett. 86, 2802–2805 (2001).
[Crossref] [PubMed]

1997 (1)

O. Haeberle, P. Rullhusen, J.-M. Salome, and N. Maene, “Smith-Purcell radiation from electrons moving parallel to a grating at oblique incidence to the rulings,” Phys. Rev. E 55, 4675–4685 (1997).
[Crossref]

1996 (1)

R.A. Ong, D. Bhattachary, C.E. Covault, D.D. Dixon, D.T. Gregorich, D.S. Hanna, S. Oser, J. Québert, D.A. Smith, O.T. Timer, and A.D. Zych, “Detection of atmospheric Cherenkov radiation using solar heliostat mirrors,” Astroparticle Physics,  5, 353–365 (1996).
[Crossref]

1974 (1)

J. J. Aubert, U. Becker, P. J. Biggs, J. Burger, M. Chen, G. Everhart, P. Goldhagen, J. Leong, T. McCorriston, T. G. Rhoades, M. Rohde, S. C. Ting, S. L. Wu, and Y. Y. Lee, “Experimental Observation of a Heavy Particle J,” Phys. Rev. Lett. 33, 1404–1406 (1974).
[Crossref]

1955 (1)

O. Chamberlain, E. Segre, C. Wiegand, and T. Ypsilantis, “Observation of Antiprotons,” Phys. Rev. 100, 947–950 (1955).
[Crossref]

1953 (1)

S. J. Smith and E. M. Purcell, “Visible Light from Localized Surface Charges Moving across a Grating,” Phys. Rev. 92, 1069–1070 (1953).
[Crossref]

1937 (1)

P. A. Cherenkov, “Visible Radiation Produced by Electrons Moving in a Medium with Velocities Exceeding that of Light,” Phys. Rev. 52, 378–379 (1937).
[Crossref]

Adams, C. S.

C. G. Wade, N. Sibalic, N. R. de Melo, J. M. Kondo, C. S. Adams, and K. J. Weatherill, “Real-time near-field terahertz imaging with atomic optical fluorescence,” Nat. Photon. 11, 40 (2017).
[Crossref]

Agrawal, A.

Antipov, S.

S. Antipov, C. Jing, M. Fedurin, W. Gai, A. Kanareykin, K. Kusche, P. Schoessow, V. Yakimenko, and A. Zholents, “Experimental Observation of Energy Modulation in Electron Beams Passing through Terahertz Dielectric Wakefield Structures,”Phys. Rev. Lett. 108, 144801 (2012).
[Crossref] [PubMed]

S. Antipov, L. Spentzouris, W. Gai, M. Conde, F. Franchini, R. Konecny, W. Liu, J. G. Power, Z. Yusof, and C. Jing, “Observation of wakefield generation in left-handed band of metamaterial-loaded waveguide,” J. Appl. Phys. 104, 014901 (2008).
[Crossref]

Arie, A.

R. Remez, N. Shapira, C. Roques-Carmes, R. Tirole, Y. Yang, Y. Lereah, M. Soljacic, I. Kaminer, and A. Arie, “Spectral and spatial shaping of Smith-Purcell radiation,” Phys. Rev. A 96, 061801 (2017).
[Crossref]

Aryshevc, A.S.

D.Yu. Sergeeva, A.A. Tishchenko, A.S. Aryshevc, and M.N. Strikhanov, Smith-Purcell radiation from concave dotted gratings, JINST,  13C02045(2018).
[Crossref]

Aubert, J. J.

J. J. Aubert, U. Becker, P. J. Biggs, J. Burger, M. Chen, G. Everhart, P. Goldhagen, J. Leong, T. McCorriston, T. G. Rhoades, M. Rohde, S. C. Ting, S. L. Wu, and Y. Y. Lee, “Experimental Observation of a Heavy Particle J,” Phys. Rev. Lett. 33, 1404–1406 (1974).
[Crossref]

Becker, U.

J. J. Aubert, U. Becker, P. J. Biggs, J. Burger, M. Chen, G. Everhart, P. Goldhagen, J. Leong, T. McCorriston, T. G. Rhoades, M. Rohde, S. C. Ting, S. L. Wu, and Y. Y. Lee, “Experimental Observation of a Heavy Particle J,” Phys. Rev. Lett. 33, 1404–1406 (1974).
[Crossref]

Bhattachary, D.

R.A. Ong, D. Bhattachary, C.E. Covault, D.D. Dixon, D.T. Gregorich, D.S. Hanna, S. Oser, J. Québert, D.A. Smith, O.T. Timer, and A.D. Zych, “Detection of atmospheric Cherenkov radiation using solar heliostat mirrors,” Astroparticle Physics,  5, 353–365 (1996).
[Crossref]

Biggs, P. J.

J. J. Aubert, U. Becker, P. J. Biggs, J. Burger, M. Chen, G. Everhart, P. Goldhagen, J. Leong, T. McCorriston, T. G. Rhoades, M. Rohde, S. C. Ting, S. L. Wu, and Y. Y. Lee, “Experimental Observation of a Heavy Particle J,” Phys. Rev. Lett. 33, 1404–1406 (1974).
[Crossref]

Bleko, V. V.

G. A. Naumenko, A. P. Potylitsyn, D. Yu. Sergeeva, A. A. Tishchenko, M. N. Strikhanov, and V. V. Bleko, “First experimental observation of the conical effect in Smith-Purcell radiation,” JETP Letters 105, 531–532 (2017).
[Crossref]

Bolotovskii, B. M.

B. M. Bolotovskii, “Vavilov-Cherenkov radiation: its discovery and application,” Physics-Uspekhi,  52(11), 1099–1110, (2009).
[Crossref]

Burger, J.

J. J. Aubert, U. Becker, P. J. Biggs, J. Burger, M. Chen, G. Everhart, P. Goldhagen, J. Leong, T. McCorriston, T. G. Rhoades, M. Rohde, S. C. Ting, S. L. Wu, and Y. Y. Lee, “Experimental Observation of a Heavy Particle J,” Phys. Rev. Lett. 33, 1404–1406 (1974).
[Crossref]

Chamberlain, O.

O. Chamberlain, E. Segre, C. Wiegand, and T. Ypsilantis, “Observation of Antiprotons,” Phys. Rev. 100, 947–950 (1955).
[Crossref]

Chen, H.

Z. Wang, K. Yao, M. Chen, H. Chen, and Y. Liu, “Manipulating Smith-Purcell Emission with Babinet Metasurfaces,” Phys. Rev. Lett. 117, 157401 (2016).
[Crossref] [PubMed]

S. Xi, H. Chen, T. Jiang, L. Ran, J. Huangfu, B.-I. Wu, J. A. Kong, and M. Chen, “Experimental verification of reversed Cherenkov radiation in left-handed metamaterial,” Phys. Rev. Lett. 103, 194801 (2009).
[Crossref]

Chen, M.

Z. Y. Duan, X. Tang, Z. Wang, Y. Zhang, X. Chen, M. Chen, and Y. Gong, “Observation of the reversed Cherenkov radiation,” Nat. Communications 8, 14901 (2017).
[Crossref]

Z. Wang, K. Yao, M. Chen, H. Chen, and Y. Liu, “Manipulating Smith-Purcell Emission with Babinet Metasurfaces,” Phys. Rev. Lett. 117, 157401 (2016).
[Crossref] [PubMed]

Z. Y. Duan, C. Guo, and M. Chen, “Enhanced reversed Cherenkov radiation in a waveguide with double-negative metamaterials,” Opt. Express 19, 13825–13830 (2011).
[Crossref] [PubMed]

S. Xi, H. Chen, T. Jiang, L. Ran, J. Huangfu, B.-I. Wu, J. A. Kong, and M. Chen, “Experimental verification of reversed Cherenkov radiation in left-handed metamaterial,” Phys. Rev. Lett. 103, 194801 (2009).
[Crossref]

J. J. Aubert, U. Becker, P. J. Biggs, J. Burger, M. Chen, G. Everhart, P. Goldhagen, J. Leong, T. McCorriston, T. G. Rhoades, M. Rohde, S. C. Ting, S. L. Wu, and Y. Y. Lee, “Experimental Observation of a Heavy Particle J,” Phys. Rev. Lett. 33, 1404–1406 (1974).
[Crossref]

Chen, X.

Z. Y. Duan, X. Tang, Z. Wang, Y. Zhang, X. Chen, M. Chen, and Y. Gong, “Observation of the reversed Cherenkov radiation,” Nat. Communications 8, 14901 (2017).
[Crossref]

Cherenkov, P. A.

P. A. Cherenkov, “Visible Radiation Produced by Electrons Moving in a Medium with Velocities Exceeding that of Light,” Phys. Rev. 52, 378–379 (1937).
[Crossref]

Clarke, B. P.

B. P. Clarke, K. F. MacDonald, and N. I. Zheludev, “Direction-division multiplexed holographic free-electron-driven light sources,” Appl. Phys. Lett. 112, 021109 (2018).
[Crossref]

G. Li, B. P. Clarke, J.-K. So, K. F. MacDonald, and N. I. Zheludev, “Holographic free-electron light source,” Nat. Comm. 7, 13705 (2016).
[Crossref]

Conde, M.

S. Antipov, L. Spentzouris, W. Gai, M. Conde, F. Franchini, R. Konecny, W. Liu, J. G. Power, Z. Yusof, and C. Jing, “Observation of wakefield generation in left-handed band of metamaterial-loaded waveguide,” J. Appl. Phys. 104, 014901 (2008).
[Crossref]

Covault, C.E.

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J. J. Aubert, U. Becker, P. J. Biggs, J. Burger, M. Chen, G. Everhart, P. Goldhagen, J. Leong, T. McCorriston, T. G. Rhoades, M. Rohde, S. C. Ting, S. L. Wu, and Y. Y. Lee, “Experimental Observation of a Heavy Particle J,” Phys. Rev. Lett. 33, 1404–1406 (1974).
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L. Liang, W. Liu, Y. Liu, Q. Jia, L. Wang, and Y. Lu, “Multi-color and multidirectional-steerable Smith-Purcell radiation from 2D sub-wavelength hole arrays,” Appl. Phys. Lett. 113, 013501 (2018).
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O. Haeberle, P. Rullhusen, J.-M. Salome, and N. Maene, “Smith-Purcell radiation from electrons moving parallel to a grating at oblique incidence to the rulings,” Phys. Rev. E 55, 4675–4685 (1997).
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S. Antipov, L. Spentzouris, W. Gai, M. Conde, F. Franchini, R. Konecny, W. Liu, J. G. Power, Z. Yusof, and C. Jing, “Observation of wakefield generation in left-handed band of metamaterial-loaded waveguide,” J. Appl. Phys. 104, 014901 (2008).
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D. Saltzberg, P. Gorham, D. Walz, C. Field, R. Iverson, A. Odian, G. Resch, P. Schoessow, and D. Williams, “Observation of the Askaryan Effect: Coherent Microwave Cherenkov Emission from Charge Asymmetry in High-Energy Particle Cascades,” Phys. Rev. Lett. 86, 2802–2805 (2001).
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[Crossref] [PubMed]

Schoessow, P.

B. Jiang, C. Jing, P. Schoessow, J. Power, and W. Gai, “Formation of a novel shaped bunch to enhance transformer ratio in collinear wakefield accelerators,” Phys. Rev. ST Accel. Beams 15, 011301 (2012).
[Crossref]

S. Antipov, C. Jing, M. Fedurin, W. Gai, A. Kanareykin, K. Kusche, P. Schoessow, V. Yakimenko, and A. Zholents, “Experimental Observation of Energy Modulation in Electron Beams Passing through Terahertz Dielectric Wakefield Structures,”Phys. Rev. Lett. 108, 144801 (2012).
[Crossref] [PubMed]

S. N. Galyamin, A. V. Tyukhtin, A. Kanareykin, and P. Schoessow, “Reversed Cherenkov-transition radiation by a charge crossing a left-handed medium boundary,” Phys. Rev. Lett. 103, 194802 (2009).
[Crossref]

D. Saltzberg, P. Gorham, D. Walz, C. Field, R. Iverson, A. Odian, G. Resch, P. Schoessow, and D. Williams, “Observation of the Askaryan Effect: Coherent Microwave Cherenkov Emission from Charge Asymmetry in High-Energy Particle Cascades,” Phys. Rev. Lett. 86, 2802–2805 (2001).
[Crossref] [PubMed]

Segre, E.

O. Chamberlain, E. Segre, C. Wiegand, and T. Ypsilantis, “Observation of Antiprotons,” Phys. Rev. 100, 947–950 (1955).
[Crossref]

Sergeeva, D. Y.

Sergeeva, D. Yu.

G. A. Naumenko, A. P. Potylitsyn, D. Yu. Sergeeva, A. A. Tishchenko, M. N. Strikhanov, and V. V. Bleko, “First experimental observation of the conical effect in Smith-Purcell radiation,” JETP Letters 105, 531–532 (2017).
[Crossref]

Sergeeva, D.Y.

D.Y. Sergeeva, A. A. Tishchenko, and M. N. Strikhanov, “Conical diffraction effect in optical and x-ray Smith-Purcell radiation,” Phys. Rev. ST Accel. Beams 18, 052801 (2015).
[Crossref]

Sergeeva, D.Yu.

D.Yu. Sergeeva, A.A. Tishchenko, A.S. Aryshevc, and M.N. Strikhanov, Smith-Purcell radiation from concave dotted gratings, JINST,  13C02045(2018).
[Crossref]

Shapira, N.

R. Remez, N. Shapira, C. Roques-Carmes, R. Tirole, Y. Yang, Y. Lereah, M. Soljacic, I. Kaminer, and A. Arie, “Spectral and spatial shaping of Smith-Purcell radiation,” Phys. Rev. A 96, 061801 (2017).
[Crossref]

Shin, D.

D. H. Shin, K. N. Yun, J. S. Han, C. J. Lee, S.-G. Jeon, and D. Shin, “Sheet electron beam from line-shape carbon nanotube field emitters,” Vacuum Nanoelectronics Conference (IVNC) 2015 28th International, pp. 216–217 (2015).

Shin, D. H.

D. H. Shin, K. N. Yun, J. S. Han, C. J. Lee, S.-G. Jeon, and D. Shin, “Sheet electron beam from line-shape carbon nanotube field emitters,” Vacuum Nanoelectronics Conference (IVNC) 2015 28th International, pp. 216–217 (2015).

Sibalic, N.

C. G. Wade, N. Sibalic, N. R. de Melo, J. M. Kondo, C. S. Adams, and K. J. Weatherill, “Real-time near-field terahertz imaging with atomic optical fluorescence,” Nat. Photon. 11, 40 (2017).
[Crossref]

Silveirinha, M. G.

D. E. Fernandes, S. I. Maslovski, and M. G. Silveirinha, “Cherenkov emission in a nanowire material,” Phys. Rev. B 85, 155107 (2012).
[Crossref]

Smith, D.A.

R.A. Ong, D. Bhattachary, C.E. Covault, D.D. Dixon, D.T. Gregorich, D.S. Hanna, S. Oser, J. Québert, D.A. Smith, O.T. Timer, and A.D. Zych, “Detection of atmospheric Cherenkov radiation using solar heliostat mirrors,” Astroparticle Physics,  5, 353–365 (1996).
[Crossref]

Smith, S. J.

S. J. Smith and E. M. Purcell, “Visible Light from Localized Surface Charges Moving across a Grating,” Phys. Rev. 92, 1069–1070 (1953).
[Crossref]

So, J.-K.

G. Li, B. P. Clarke, J.-K. So, K. F. MacDonald, and N. I. Zheludev, “Holographic free-electron light source,” Nat. Comm. 7, 13705 (2016).
[Crossref]

A. Srivastava, J.-K. So, Y. Wang, J. Wang, R. S. Raju, S.-T. Han, and G.-S. Park, “Design of Sheet-Beam Electron Gun with Planar Cathode for Terahertz Devices,” J Infrared Milli Terahz Waves 30, 670–678 (2009).
[Crossref]

Soljacic, M.

R. Remez, N. Shapira, C. Roques-Carmes, R. Tirole, Y. Yang, Y. Lereah, M. Soljacic, I. Kaminer, and A. Arie, “Spectral and spatial shaping of Smith-Purcell radiation,” Phys. Rev. A 96, 061801 (2017).
[Crossref]

Spentzouris, L.

S. Antipov, L. Spentzouris, W. Gai, M. Conde, F. Franchini, R. Konecny, W. Liu, J. G. Power, Z. Yusof, and C. Jing, “Observation of wakefield generation in left-handed band of metamaterial-loaded waveguide,” J. Appl. Phys. 104, 014901 (2008).
[Crossref]

Srivastava, A.

A. Srivastava, J.-K. So, Y. Wang, J. Wang, R. S. Raju, S.-T. Han, and G.-S. Park, “Design of Sheet-Beam Electron Gun with Planar Cathode for Terahertz Devices,” J Infrared Milli Terahz Waves 30, 670–678 (2009).
[Crossref]

Strikhanov, M. N.

D. Y. Sergeeva, A. P. Potylitsyn, A. A. Tishchenko, and M. N. Strikhanov, “Smith-Purcell radiation from periodic beams,” Opt. Express 25(21): 26310–26328 (2017).
[Crossref] [PubMed]

G. A. Naumenko, A. P. Potylitsyn, D. Yu. Sergeeva, A. A. Tishchenko, M. N. Strikhanov, and V. V. Bleko, “First experimental observation of the conical effect in Smith-Purcell radiation,” JETP Letters 105, 531–532 (2017).
[Crossref]

D.Y. Sergeeva, A. A. Tishchenko, and M. N. Strikhanov, “Conical diffraction effect in optical and x-ray Smith-Purcell radiation,” Phys. Rev. ST Accel. Beams 18, 052801 (2015).
[Crossref]

Strikhanov, M.N.

D.Yu. Sergeeva, A.A. Tishchenko, A.S. Aryshevc, and M.N. Strikhanov, Smith-Purcell radiation from concave dotted gratings, JINST,  13C02045(2018).
[Crossref]

Takakura, Y.

Y. Takakura, “Optical Resonance in a Narrow Slit in a Thick Metallic Screen,” Phys. Rev. Lett. 86, 5601–5603 (2011).
[Crossref]

Tang, X.

Z. Y. Duan, X. Tang, Z. Wang, Y. Zhang, X. Chen, M. Chen, and Y. Gong, “Observation of the reversed Cherenkov radiation,” Nat. Communications 8, 14901 (2017).
[Crossref]

Timer, O.T.

R.A. Ong, D. Bhattachary, C.E. Covault, D.D. Dixon, D.T. Gregorich, D.S. Hanna, S. Oser, J. Québert, D.A. Smith, O.T. Timer, and A.D. Zych, “Detection of atmospheric Cherenkov radiation using solar heliostat mirrors,” Astroparticle Physics,  5, 353–365 (1996).
[Crossref]

Ting, S. C.

J. J. Aubert, U. Becker, P. J. Biggs, J. Burger, M. Chen, G. Everhart, P. Goldhagen, J. Leong, T. McCorriston, T. G. Rhoades, M. Rohde, S. C. Ting, S. L. Wu, and Y. Y. Lee, “Experimental Observation of a Heavy Particle J,” Phys. Rev. Lett. 33, 1404–1406 (1974).
[Crossref]

Tirole, R.

R. Remez, N. Shapira, C. Roques-Carmes, R. Tirole, Y. Yang, Y. Lereah, M. Soljacic, I. Kaminer, and A. Arie, “Spectral and spatial shaping of Smith-Purcell radiation,” Phys. Rev. A 96, 061801 (2017).
[Crossref]

Tishchenko, A. A.

D. Y. Sergeeva, A. P. Potylitsyn, A. A. Tishchenko, and M. N. Strikhanov, “Smith-Purcell radiation from periodic beams,” Opt. Express 25(21): 26310–26328 (2017).
[Crossref] [PubMed]

G. A. Naumenko, A. P. Potylitsyn, D. Yu. Sergeeva, A. A. Tishchenko, M. N. Strikhanov, and V. V. Bleko, “First experimental observation of the conical effect in Smith-Purcell radiation,” JETP Letters 105, 531–532 (2017).
[Crossref]

D.Y. Sergeeva, A. A. Tishchenko, and M. N. Strikhanov, “Conical diffraction effect in optical and x-ray Smith-Purcell radiation,” Phys. Rev. ST Accel. Beams 18, 052801 (2015).
[Crossref]

Tishchenko, A.A.

D.Yu. Sergeeva, A.A. Tishchenko, A.S. Aryshevc, and M.N. Strikhanov, Smith-Purcell radiation from concave dotted gratings, JINST,  13C02045(2018).
[Crossref]

Tyukhtin, A. V.

V. V. Vorobev and A. V. Tyukhtin, “Nondivergent Cherenkov Radiation in a Wire Metamaterial,” Phys. Rev. Lett. 108, 184801 (2012).
[Crossref] [PubMed]

S. N. Galyamin, A. V. Tyukhtin, A. Kanareykin, and P. Schoessow, “Reversed Cherenkov-transition radiation by a charge crossing a left-handed medium boundary,” Phys. Rev. Lett. 103, 194802 (2009).
[Crossref]

Vorobev, V. V.

V. V. Vorobev and A. V. Tyukhtin, “Nondivergent Cherenkov Radiation in a Wire Metamaterial,” Phys. Rev. Lett. 108, 184801 (2012).
[Crossref] [PubMed]

Wade, C. G.

C. G. Wade, N. Sibalic, N. R. de Melo, J. M. Kondo, C. S. Adams, and K. J. Weatherill, “Real-time near-field terahertz imaging with atomic optical fluorescence,” Nat. Photon. 11, 40 (2017).
[Crossref]

Walz, D.

D. Saltzberg, P. Gorham, D. Walz, C. Field, R. Iverson, A. Odian, G. Resch, P. Schoessow, and D. Williams, “Observation of the Askaryan Effect: Coherent Microwave Cherenkov Emission from Charge Asymmetry in High-Energy Particle Cascades,” Phys. Rev. Lett. 86, 2802–2805 (2001).
[Crossref] [PubMed]

Wang, J.

L. Li, J. Wang, and Y. Wang, “Generation of high-current-density sheet electron beams,” IEEE Electron Device Lett. 30(3):228–230 (2009).
[Crossref]

A. Srivastava, J.-K. So, Y. Wang, J. Wang, R. S. Raju, S.-T. Han, and G.-S. Park, “Design of Sheet-Beam Electron Gun with Planar Cathode for Terahertz Devices,” J Infrared Milli Terahz Waves 30, 670–678 (2009).
[Crossref]

Wang, L.

L. Liang, W. Liu, Y. Liu, Q. Jia, L. Wang, and Y. Lu, “Multi-color and multidirectional-steerable Smith-Purcell radiation from 2D sub-wavelength hole arrays,” Appl. Phys. Lett. 113, 013501 (2018).
[Crossref]

Wang, M.

F. Liu, L. Xiao, Y. Ye, M. Wang, K. Cui, Xue Feng, W. Zhang, and Y. Huang, “Integrated Cherenkov radiation emitter eliminating the electron velocity threshold,” Nat. Photon. 11, 289–292 (2017).
[Crossref]

Wang, Y.

A. Srivastava, J.-K. So, Y. Wang, J. Wang, R. S. Raju, S.-T. Han, and G.-S. Park, “Design of Sheet-Beam Electron Gun with Planar Cathode for Terahertz Devices,” J Infrared Milli Terahz Waves 30, 670–678 (2009).
[Crossref]

L. Li, J. Wang, and Y. Wang, “Generation of high-current-density sheet electron beams,” IEEE Electron Device Lett. 30(3):228–230 (2009).
[Crossref]

Wang, Z.

Z. Y. Duan, X. Tang, Z. Wang, Y. Zhang, X. Chen, M. Chen, and Y. Gong, “Observation of the reversed Cherenkov radiation,” Nat. Communications 8, 14901 (2017).
[Crossref]

Z. Wang, K. Yao, M. Chen, H. Chen, and Y. Liu, “Manipulating Smith-Purcell Emission with Babinet Metasurfaces,” Phys. Rev. Lett. 117, 157401 (2016).
[Crossref] [PubMed]

Weatherill, K. J.

C. G. Wade, N. Sibalic, N. R. de Melo, J. M. Kondo, C. S. Adams, and K. J. Weatherill, “Real-time near-field terahertz imaging with atomic optical fluorescence,” Nat. Photon. 11, 40 (2017).
[Crossref]

Wiegand, C.

O. Chamberlain, E. Segre, C. Wiegand, and T. Ypsilantis, “Observation of Antiprotons,” Phys. Rev. 100, 947–950 (1955).
[Crossref]

Williams, D.

D. Saltzberg, P. Gorham, D. Walz, C. Field, R. Iverson, A. Odian, G. Resch, P. Schoessow, and D. Williams, “Observation of the Askaryan Effect: Coherent Microwave Cherenkov Emission from Charge Asymmetry in High-Energy Particle Cascades,” Phys. Rev. Lett. 86, 2802–2805 (2001).
[Crossref] [PubMed]

Wu, B.-I.

S. Xi, H. Chen, T. Jiang, L. Ran, J. Huangfu, B.-I. Wu, J. A. Kong, and M. Chen, “Experimental verification of reversed Cherenkov radiation in left-handed metamaterial,” Phys. Rev. Lett. 103, 194801 (2009).
[Crossref]

Wu, S. L.

J. J. Aubert, U. Becker, P. J. Biggs, J. Burger, M. Chen, G. Everhart, P. Goldhagen, J. Leong, T. McCorriston, T. G. Rhoades, M. Rohde, S. C. Ting, S. L. Wu, and Y. Y. Lee, “Experimental Observation of a Heavy Particle J,” Phys. Rev. Lett. 33, 1404–1406 (1974).
[Crossref]

Xi, S.

S. Xi, H. Chen, T. Jiang, L. Ran, J. Huangfu, B.-I. Wu, J. A. Kong, and M. Chen, “Experimental verification of reversed Cherenkov radiation in left-handed metamaterial,” Phys. Rev. Lett. 103, 194801 (2009).
[Crossref]

Xiao, L.

F. Liu, L. Xiao, Y. Ye, M. Wang, K. Cui, Xue Feng, W. Zhang, and Y. Huang, “Integrated Cherenkov radiation emitter eliminating the electron velocity threshold,” Nat. Photon. 11, 289–292 (2017).
[Crossref]

Xu, Z.

W. Liu and Z. Xu, “Special Smith-Purcell radiation from an open resonator array,” New J. Phys. 16, 073006 (2014).
[Crossref]

Yakimenko, V.

S. Antipov, C. Jing, M. Fedurin, W. Gai, A. Kanareykin, K. Kusche, P. Schoessow, V. Yakimenko, and A. Zholents, “Experimental Observation of Energy Modulation in Electron Beams Passing through Terahertz Dielectric Wakefield Structures,”Phys. Rev. Lett. 108, 144801 (2012).
[Crossref] [PubMed]

Yang, Y.

R. Remez, N. Shapira, C. Roques-Carmes, R. Tirole, Y. Yang, Y. Lereah, M. Soljacic, I. Kaminer, and A. Arie, “Spectral and spatial shaping of Smith-Purcell radiation,” Phys. Rev. A 96, 061801 (2017).
[Crossref]

Yao, K.

Z. Wang, K. Yao, M. Chen, H. Chen, and Y. Liu, “Manipulating Smith-Purcell Emission with Babinet Metasurfaces,” Phys. Rev. Lett. 117, 157401 (2016).
[Crossref] [PubMed]

Ye, Y.

F. Liu, L. Xiao, Y. Ye, M. Wang, K. Cui, Xue Feng, W. Zhang, and Y. Huang, “Integrated Cherenkov radiation emitter eliminating the electron velocity threshold,” Nat. Photon. 11, 289–292 (2017).
[Crossref]

Ypsilantis, T.

O. Chamberlain, E. Segre, C. Wiegand, and T. Ypsilantis, “Observation of Antiprotons,” Phys. Rev. 100, 947–950 (1955).
[Crossref]

Yun, K. N.

D. H. Shin, K. N. Yun, J. S. Han, C. J. Lee, S.-G. Jeon, and D. Shin, “Sheet electron beam from line-shape carbon nanotube field emitters,” Vacuum Nanoelectronics Conference (IVNC) 2015 28th International, pp. 216–217 (2015).

Yusof, Z.

S. Antipov, L. Spentzouris, W. Gai, M. Conde, F. Franchini, R. Konecny, W. Liu, J. G. Power, Z. Yusof, and C. Jing, “Observation of wakefield generation in left-handed band of metamaterial-loaded waveguide,” J. Appl. Phys. 104, 014901 (2008).
[Crossref]

Zhang, K.

K. Zhang and D. Li, Electromagnetic Theory in Microwave and Optoelectronics (Springer-Velag, 2008).

Zhang, W.

F. Liu, L. Xiao, Y. Ye, M. Wang, K. Cui, Xue Feng, W. Zhang, and Y. Huang, “Integrated Cherenkov radiation emitter eliminating the electron velocity threshold,” Nat. Photon. 11, 289–292 (2017).
[Crossref]

Zhang, Y.

Z. Y. Duan, X. Tang, Z. Wang, Y. Zhang, X. Chen, M. Chen, and Y. Gong, “Observation of the reversed Cherenkov radiation,” Nat. Communications 8, 14901 (2017).
[Crossref]

Zheludev, N. I.

B. P. Clarke, K. F. MacDonald, and N. I. Zheludev, “Direction-division multiplexed holographic free-electron-driven light sources,” Appl. Phys. Lett. 112, 021109 (2018).
[Crossref]

G. Li, B. P. Clarke, J.-K. So, K. F. MacDonald, and N. I. Zheludev, “Holographic free-electron light source,” Nat. Comm. 7, 13705 (2016).
[Crossref]

Zholents, A.

S. Antipov, C. Jing, M. Fedurin, W. Gai, A. Kanareykin, K. Kusche, P. Schoessow, V. Yakimenko, and A. Zholents, “Experimental Observation of Energy Modulation in Electron Beams Passing through Terahertz Dielectric Wakefield Structures,”Phys. Rev. Lett. 108, 144801 (2012).
[Crossref] [PubMed]

Zhu, W.

Zych, A.D.

R.A. Ong, D. Bhattachary, C.E. Covault, D.D. Dixon, D.T. Gregorich, D.S. Hanna, S. Oser, J. Québert, D.A. Smith, O.T. Timer, and A.D. Zych, “Detection of atmospheric Cherenkov radiation using solar heliostat mirrors,” Astroparticle Physics,  5, 353–365 (1996).
[Crossref]

Appl. Phys. Lett. (2)

B. P. Clarke, K. F. MacDonald, and N. I. Zheludev, “Direction-division multiplexed holographic free-electron-driven light sources,” Appl. Phys. Lett. 112, 021109 (2018).
[Crossref]

L. Liang, W. Liu, Y. Liu, Q. Jia, L. Wang, and Y. Lu, “Multi-color and multidirectional-steerable Smith-Purcell radiation from 2D sub-wavelength hole arrays,” Appl. Phys. Lett. 113, 013501 (2018).
[Crossref]

Astroparticle Physics (1)

R.A. Ong, D. Bhattachary, C.E. Covault, D.D. Dixon, D.T. Gregorich, D.S. Hanna, S. Oser, J. Québert, D.A. Smith, O.T. Timer, and A.D. Zych, “Detection of atmospheric Cherenkov radiation using solar heliostat mirrors,” Astroparticle Physics,  5, 353–365 (1996).
[Crossref]

IEEE Electron Device Lett. (1)

L. Li, J. Wang, and Y. Wang, “Generation of high-current-density sheet electron beams,” IEEE Electron Device Lett. 30(3):228–230 (2009).
[Crossref]

J Infrared Milli Terahz Waves (1)

A. Srivastava, J.-K. So, Y. Wang, J. Wang, R. S. Raju, S.-T. Han, and G.-S. Park, “Design of Sheet-Beam Electron Gun with Planar Cathode for Terahertz Devices,” J Infrared Milli Terahz Waves 30, 670–678 (2009).
[Crossref]

J. Appl. Phys. (1)

S. Antipov, L. Spentzouris, W. Gai, M. Conde, F. Franchini, R. Konecny, W. Liu, J. G. Power, Z. Yusof, and C. Jing, “Observation of wakefield generation in left-handed band of metamaterial-loaded waveguide,” J. Appl. Phys. 104, 014901 (2008).
[Crossref]

JETP Letters (1)

G. A. Naumenko, A. P. Potylitsyn, D. Yu. Sergeeva, A. A. Tishchenko, M. N. Strikhanov, and V. V. Bleko, “First experimental observation of the conical effect in Smith-Purcell radiation,” JETP Letters 105, 531–532 (2017).
[Crossref]

JINST (1)

D.Yu. Sergeeva, A.A. Tishchenko, A.S. Aryshevc, and M.N. Strikhanov, Smith-Purcell radiation from concave dotted gratings, JINST,  13C02045(2018).
[Crossref]

Laser Phys. Lett. (1)

K. B. Oganesyan, “Smith-Purcell radiation amplifier,” Laser Phys. Lett. 12, 116002 (2015).
[Crossref]

Nat. Comm. (1)

G. Li, B. P. Clarke, J.-K. So, K. F. MacDonald, and N. I. Zheludev, “Holographic free-electron light source,” Nat. Comm. 7, 13705 (2016).
[Crossref]

Nat. Communications (1)

Z. Y. Duan, X. Tang, Z. Wang, Y. Zhang, X. Chen, M. Chen, and Y. Gong, “Observation of the reversed Cherenkov radiation,” Nat. Communications 8, 14901 (2017).
[Crossref]

Nat. Photon. (2)

F. Liu, L. Xiao, Y. Ye, M. Wang, K. Cui, Xue Feng, W. Zhang, and Y. Huang, “Integrated Cherenkov radiation emitter eliminating the electron velocity threshold,” Nat. Photon. 11, 289–292 (2017).
[Crossref]

C. G. Wade, N. Sibalic, N. R. de Melo, J. M. Kondo, C. S. Adams, and K. J. Weatherill, “Real-time near-field terahertz imaging with atomic optical fluorescence,” Nat. Photon. 11, 40 (2017).
[Crossref]

New J. Phys. (1)

W. Liu and Z. Xu, “Special Smith-Purcell radiation from an open resonator array,” New J. Phys. 16, 073006 (2014).
[Crossref]

Opt. Express (3)

Opt. Lett (1)

W. Liu, “Coherent and tunable light radiation from nanoscale surface plasmons array via an exotic Smith–Purcell effect,” Opt. Lett., 40(20), 4579–4582 (2015).
[Crossref] [PubMed]

Phys. Rev. (3)

S. J. Smith and E. M. Purcell, “Visible Light from Localized Surface Charges Moving across a Grating,” Phys. Rev. 92, 1069–1070 (1953).
[Crossref]

P. A. Cherenkov, “Visible Radiation Produced by Electrons Moving in a Medium with Velocities Exceeding that of Light,” Phys. Rev. 52, 378–379 (1937).
[Crossref]

O. Chamberlain, E. Segre, C. Wiegand, and T. Ypsilantis, “Observation of Antiprotons,” Phys. Rev. 100, 947–950 (1955).
[Crossref]

Phys. Rev. A (1)

R. Remez, N. Shapira, C. Roques-Carmes, R. Tirole, Y. Yang, Y. Lereah, M. Soljacic, I. Kaminer, and A. Arie, “Spectral and spatial shaping of Smith-Purcell radiation,” Phys. Rev. A 96, 061801 (2017).
[Crossref]

Phys. Rev. B (1)

D. E. Fernandes, S. I. Maslovski, and M. G. Silveirinha, “Cherenkov emission in a nanowire material,” Phys. Rev. B 85, 155107 (2012).
[Crossref]

Phys. Rev. E (1)

O. Haeberle, P. Rullhusen, J.-M. Salome, and N. Maene, “Smith-Purcell radiation from electrons moving parallel to a grating at oblique incidence to the rulings,” Phys. Rev. E 55, 4675–4685 (1997).
[Crossref]

Phys. Rev. Lett. (8)

Z. Wang, K. Yao, M. Chen, H. Chen, and Y. Liu, “Manipulating Smith-Purcell Emission with Babinet Metasurfaces,” Phys. Rev. Lett. 117, 157401 (2016).
[Crossref] [PubMed]

Y. Takakura, “Optical Resonance in a Narrow Slit in a Thick Metallic Screen,” Phys. Rev. Lett. 86, 5601–5603 (2011).
[Crossref]

V. V. Vorobev and A. V. Tyukhtin, “Nondivergent Cherenkov Radiation in a Wire Metamaterial,” Phys. Rev. Lett. 108, 184801 (2012).
[Crossref] [PubMed]

S. Xi, H. Chen, T. Jiang, L. Ran, J. Huangfu, B.-I. Wu, J. A. Kong, and M. Chen, “Experimental verification of reversed Cherenkov radiation in left-handed metamaterial,” Phys. Rev. Lett. 103, 194801 (2009).
[Crossref]

S. N. Galyamin, A. V. Tyukhtin, A. Kanareykin, and P. Schoessow, “Reversed Cherenkov-transition radiation by a charge crossing a left-handed medium boundary,” Phys. Rev. Lett. 103, 194802 (2009).
[Crossref]

J. J. Aubert, U. Becker, P. J. Biggs, J. Burger, M. Chen, G. Everhart, P. Goldhagen, J. Leong, T. McCorriston, T. G. Rhoades, M. Rohde, S. C. Ting, S. L. Wu, and Y. Y. Lee, “Experimental Observation of a Heavy Particle J,” Phys. Rev. Lett. 33, 1404–1406 (1974).
[Crossref]

S. Antipov, C. Jing, M. Fedurin, W. Gai, A. Kanareykin, K. Kusche, P. Schoessow, V. Yakimenko, and A. Zholents, “Experimental Observation of Energy Modulation in Electron Beams Passing through Terahertz Dielectric Wakefield Structures,”Phys. Rev. Lett. 108, 144801 (2012).
[Crossref] [PubMed]

D. Saltzberg, P. Gorham, D. Walz, C. Field, R. Iverson, A. Odian, G. Resch, P. Schoessow, and D. Williams, “Observation of the Askaryan Effect: Coherent Microwave Cherenkov Emission from Charge Asymmetry in High-Energy Particle Cascades,” Phys. Rev. Lett. 86, 2802–2805 (2001).
[Crossref] [PubMed]

Phys. Rev. ST Accel. Beams (2)

B. Jiang, C. Jing, P. Schoessow, J. Power, and W. Gai, “Formation of a novel shaped bunch to enhance transformer ratio in collinear wakefield accelerators,” Phys. Rev. ST Accel. Beams 15, 011301 (2012).
[Crossref]

D.Y. Sergeeva, A. A. Tishchenko, and M. N. Strikhanov, “Conical diffraction effect in optical and x-ray Smith-Purcell radiation,” Phys. Rev. ST Accel. Beams 18, 052801 (2015).
[Crossref]

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[Crossref]

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[Crossref] [PubMed]

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Figures (3)

Fig. 1
Fig. 1 (a) 3D diagram of the sheet FEB driving an oblique-lined SHA. The numbers ‘1-6’ denote different parts of the FEB, which excite different subwavelength holes. (b) The x z cross-section of the scheme, where θ denotes the radiation angle of CR relative to z axis.
Fig. 2
Fig. 2 (a) Simulation obtained snapshot in time domain of the field contour map (Ez component) within the x z cross-section. Here ‘BP’ denotes the position of the FEB in z direction. (b) Radiation spectrum detected in the space and field distributions within the holes for each peak frequency. (c) Snapshots of the Ez field contour maps in the frequency domain for three peak frequencies.
Fig. 3
Fig. 3 (a) 3D diagram of sheet FEB driving a SHA, which is lined along the curve f ( y , z ) = 0. (b) is the same as (a) except for reversed CR. (c-f) Simulated field intensity ( | E |) distributions in the focusing plane. (c) and (d) illustrate the forward CRs. (e) and (f) illustrate the backward radiation cases. In (c) and (e), the focusing spots are in the middle of the plane. While in (d) and (f), the focusing spots deviate from the middle of the plane. Here ‘P’ is the focusing point of radiation in the upper half-space.

Equations (6)

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Δ t = L z v e = L v p ,
ω L v p ω L c cos  θ = 2 n π ,
cos  θ = 1 v p / c = cos  α v e / c ,
f l , m , p = c 2 ( l h ) 2 + ( m w ) 2 + ( p d ) 2 ,
T = T 1 + T 2 = z v e + ( y Y 0 ) 2 + ( Z 0 z ) 2 + H 0 2 c = c o n s t ,
( y Y 0 ) 2 ( z z c ) 2 M 2 = F .

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