Image plates (IPs) are a popular detector in the field of laser driven ion acceleration, owing to their high dynamic range and reusability. An absolute calibration of these detectors to laser-driven protons in the routinely produced tens of MeV energy range is, therefore, essential. In this paper, the response of Fujifilm BAS-TR IPs to 1–40 MeV protons is calibrated by employing the detectors in high resolution Thomson parabola spectrometers in conjunction with a CR-39 nuclear track detector to determine absolute proton numbers. While CR-39 was placed in front of the image plate for lower energy protons, it was placed behind the image plate for energies above 10 MeV using suitable metal filters sandwiched between the image plate and CR-39 to select specific energies. The measured response agrees well with previously reported calibrations as well as standard models of IP response, providing, for the first time, an absolute calibration over a large range of proton energies of relevance to current experiments.

1.
A.
Macchi
,
M.
Borghesi
, and
M.
Passoni
, “
Ion acceleration by superintense laser-plasma interaction
,”
Rev. Mod. Phys.
85
,
751
793
(
2013
); arXiv:1302.1775.
2.
B.
Dromey
,
M.
Coughlan
,
L.
Senje
,
M.
Taylor
,
S.
Kuschel
,
B.
Villagomez-Bernabe
,
R.
Stefanuik
,
G.
Nersisyan
,
L.
Stella
,
J.
Kohanoff
,
M.
Borghesi
,
F.
Currell
,
D.
Riley
,
D.
Jung
,
C.-G.
Wahlström
,
C. L. S.
Lewis
, and
M.
Zepf
, “
Picosecond metrology of laser-driven proton bursts
,”
Nat. Commun.
7
,
010642
(
2016
).
3.
M.
Borghesi
,
A. J.
Mackinnon
,
D. H.
Campbell
,
D. G.
Hicks
,
S.
Kar
,
P. K.
Patel
,
D.
Price
,
L.
Romagnani
,
A.
Schiavi
, and
O.
Willi
, “
Multi-MeV proton source investigations in ultraintense laser-foil interactions
,”
Phys. Rev. Lett.
92
,
055003
(
2004
).
4.
T. E.
Cowan
,
J.
Fuchs
,
H.
Ruhl
,
A.
Kemp
,
P.
Audebert
,
M.
Roth
,
R.
Stephens
,
I.
Barton
,
A.
Blazevic
,
E.
Brambrink
,
J.
Cobble
,
J.
Fernández
,
J.-C.
Gauthier
,
M.
Geissel
,
M.
Hegelich
,
J.
Kaae
,
S.
Karsch
,
G. P.
Le Sage
,
S.
Letzring
,
M.
Manclossi
,
S.
Meyroneinc
,
A.
Newkirk
,
H.
Pépin
, and
N.
Renard-LeGalloudec
, “
Ultralow emittance, multi-MeV proton beams from a laser virtual-cathode plasma accelerator
,”
Phys. Rev. Lett.
92
,
204801
(
2004
).
5.
D.
Doria
,
K. F.
Kakolee
,
S.
Kar
,
S. K.
Litt
,
F.
Fiorini
,
H.
Ahmed
,
S.
Green
,
J. C. G.
Jeynes
,
J.
Kavanagh
,
D.
Kirby
,
K. J.
Kirkby
,
C. L.
Lewis
,
M. J.
Merchant
,
G.
Nersisyan
,
R.
Prasad
,
K. M.
Prise
,
G.
Schettino
,
M.
Zepf
, and
M.
Borghesi
, “
Biological effectiveness on live cells of laser driven protons at dose rates exceeding 109 Gy/s
,”
AIP Adv
2
,
011209
(
2012
).
6.
F.
Hanton
,
P.
Chaudhary
,
D.
Doria
,
D.
Gwynne
,
C.
Maiorino
,
C.
Scullion
,
H.
Ahmed
,
T.
Marshall
,
K.
Naughton
,
L.
Romagnani
,
S.
Kar
,
G.
Schettino
,
P.
McKenna
,
S.
Botchway
,
D. R.
Symes
,
P. P.
Rajeev
,
K. M.
Prise
, and
M.
Borghesi
, “
DNA DSB repair dynamics following irradiation with laser-driven protons at ultra-high dose rates
,”
Sci. Rep.
9
,
4471
4510
(
2019
).
7.
P.
Patel
,
A.
Mackinnon
,
M.
Key
,
T.
Cowan
,
M.
Foord
,
M.
Allen
,
D.
Price
,
H.
Ruhl
,
P.
Springer
, and
R.
Stephens
, “
Isochoric heating of solid-density matter with an ultrafast proton beam
,”
Phys. Rev. Lett.
91
,
125004
(
2003
).
8.
J. J.
Honrubia
,
J. C.
Fernández
,
B. M.
Hegelich
,
M.
Murakami
, and
C. D.
Enriquez
, “
Fast ignition driven by quasi-monoenergetic ions: Optimal ion type and reduction of ignition energies with an ion beam array
,”
Laser Part. Beams
32
,
419
427
(
2014
).
9.
M.
Borghesi
,
A.
Schiavi
,
D. H.
Campbell
,
M. G.
Haines
,
O.
Willi
,
A. J.
MacKinnon
,
L. A.
Gizzi
,
M.
Galimberti
,
R. J.
Clarke
, and
H.
Ruhl
, “
Proton imaging: A diagnostic for inertial confinement fusion/fast ignitor studies
,”
Plasma Phys. Controlled Fusion
43
,
A267
A276
(
2001
).
10.
L.
Romagnani
,
J.
Fuchs
,
M.
Borghesi
,
P.
Antici
,
P.
Audebert
,
F.
Ceccherini
,
T.
Cowan
,
T.
Grismayer
,
S.
Kar
,
A.
Macchi
,
P.
Mora
,
G.
Pretzler
,
A.
Schiavi
,
T.
Toncian
, and
O.
Willi
, “
Dynamics of electric fields driving the laser acceleration of multi-MeV protons
,”
Phys. Rev. Lett.
95
,
195001
(
2005
).
11.
S. C.
Wilks
,
A. B.
Langdon
,
T. E.
Cowan
,
M.
Roth
,
M.
Singh
,
S.
Hatchett
,
M. H.
Key
,
D.
Pennington
,
A.
MacKinnon
, and
R. A.
Snavely
, “
Energetic proton generation in ultra-intense laser-solid interactions
,”
Phys. Plasmas
8
,
542
549
(
2001
).
12.
F.
Wagner
,
O.
Deppert
,
C.
Brabetz
,
P.
Fiala
,
A.
Kleinschmidt
,
P.
Poth
,
V. A.
Schanz
,
A.
Tebartz
,
B.
Zielbauer
,
M.
Roth
,
T.
Stöhlker
, and
V.
Bagnoud
, “
Maximum proton energy above 85 MeV from the relativistic interaction of laser pulses with micrometer thick CH2 targets
,”
Phys. Rev. Lett.
116
,
205002
(
2016
).
13.
T.
Esirkepov
,
M.
Borghesi
,
S. V.
Bulanov
,
G.
Mourou
, and
T.
Tajima
, “
Highly efficient relativistic-ion generation in the laser-piston regime
,”
Phys. Rev. Lett.
92
,
175003
(
2004
).
14.
B.
Qiao
,
M.
Zepf
,
M.
Borghesi
,
B.
Dromey
,
M.
Geissler
,
A.
Karmakar
, and
P.
Gibbon
, “
Radiation-pressure acceleration of ion beams from nanofoil targets: The leaky light-sail regime
,”
Phys. Rev. Lett.
105
,
155002
(
2010
).
15.
L.
Yin
,
B. J.
Albright
,
B. M.
Hegelich
, and
J. C.
Fernández
, “
GeV laser ion acceleration from ultrathin targets: The laser break-out afterburner
,”
Laser Part. Beams
24
,
291
298
(
2006
).
16.
L.
Yin
,
B. J.
Albright
,
K. J.
Bowers
,
D.
Jung
,
J. C.
Fernández
, and
B. M.
Hegelich
, “
Three-dimensional dynamics of breakout afterburner ion acceleration using high-contrast short-pulse laser and nanoscale targets
,”
Phys. Rev. Lett.
107
,
045003
(
2011
).
17.
A.
Higginson
,
R. J.
Gray
,
M.
King
,
R. J.
Dance
,
S. D. R.
Williamson
,
N. M. H.
Butler
,
R.
Wilson
,
R.
Capdessus
,
C.
Armstrong
,
J. S.
Green
,
S. J.
Hawkes
,
P.
Martin
,
W. Q.
Wei
,
S. R.
Mirfayzi
,
X. H.
Yuan
,
S.
Kar
,
M.
Borghesi
,
R. J.
Clarke
,
D.
Neely
, and
P.
McKenna
, “
Near-100 MeV protons via a laser-driven transparency-enhanced hybrid acceleration scheme
,”
Nat. Commun.
9
,
724
(
2018
).
18.
T.
Ziegler
,
D.
Albach
,
C.
Bernert
,
S.
Bock
,
F.-E.
Brack
,
T. E.
Cowan
,
N. P.
Dover
,
M.
Garten
,
L.
Gaus
,
R.
Gebhardt
,
I.
Goethel
,
U.
Helbig
,
A.
Irman
,
H.
Kiriyama
,
T.
Kluge
,
A.
Kon
,
S.
Kraft
,
F.
Kroll
,
M.
Loeser
,
J.
Metzkes-Ng
,
M.
Nishiuchi
,
L.
Obst-Huebl
,
T.
Püschel
,
M.
Rehwald
,
H.-P.
Schlenvoigt
,
U.
Schramm
, and
K.
Zeil
, “
Proton beam quality enhancement by spectral phase control of a PW-class laser system
,”
Sci. Rep.
11
,
7338
(
2021
).
19.
P. R.
Bolton
,
M.
Borghesi
,
C.
Brenner
,
D. C.
Carroll
,
C.
De Martinis
,
F.
Fiorini
,
A.
Flacco
,
V.
Floquet
,
J.
Fuchs
,
P.
Gallegos
,
D.
Giove
,
J. S.
Green
,
S.
Green
,
B.
Jones
,
D.
Kirby
,
P.
McKenna
,
D.
Neely
,
F.
Nuesslin
,
R.
Prasad
,
S.
Reinhardt
,
M.
Roth
,
U.
Schramm
,
G. G.
Scott
,
S.
Ter-Avetisyan
,
M.
Tolley
,
G.
Turchetti
, and
J. J.
Wilkens
, “
Instrumentation for diagnostics and control of laser-accelerated proton (ion) beams
,”
Phys. Medica
30
,
255
270
(
2014
).
20.
S.
Kar
,
M.
Borghesi
,
L.
Romagnani
,
S.
Takahashi
,
A.
Zayats
,
V.
Malka
,
S.
Fritzler
, and
A.
Schiavi
, “
Analysis of latent tracks for MeV protons in CR-39
,”
J. Appl. Phys.
101
,
044510
(
2007
).
21.
K.
Harres
,
M.
Schollmeier
,
E.
Brambrink
,
P.
Audebert
,
A.
Blažević
,
K.
Flippo
,
D. C.
Gautier
,
M.
Geißel
,
B. M.
Hegelich
,
F.
Nürnberg
,
J.
Schreiber
,
H.
Wahl
, and
M.
Roth
, “
Development and calibration of a Thomson parabola with microchannel plate for the detection of laser-accelerated MeV ions
,”
Rev. Sci. Instrum.
79
,
093306
(
2008
).
22.
T. W.
Jeong
,
P. K.
Singh
,
C.
Scullion
,
H.
Ahmed
,
K. F.
Kakolee
,
P.
Hadjisolomou
,
A.
Alejo
,
S.
Kar
,
M.
Borghesi
, and
S.
Ter-Avetisyan
, “
Experimental evaluation of the response of micro-channel plate detector to ions with 10s of MeV energies
,”
Rev. Sci. Instrum.
87
,
083301
(
2016
).
23.
A.
McIlvenny
,
D.
Doria
,
L.
Romagnani
,
H.
Ahmed
,
P.
Martin
,
S. D. R.
WIlliamson
,
E. J.
Ditter
,
O.
Ettlinger
,
G. S.
Hicks
,
P.
McKenna
,
Z.
Najmudin
,
D.
Neely
,
S.
Kar
, and
M.
Borghesi
, “
Absolute calibration of microchannel plate detector for carbon ions up to 250 MeV
,”
J. Instrum.
14
,
C04002
(
2019
).
24.
A.
Mančić
,
J.
Fuchs
,
P.
Antici
,
S. A.
Gaillard
, and
P.
Audebert
, “
Absolute calibration of photostimulable image plate detectors used as (0.5–20 MeV) high-energy proton detectors
,”
Rev. Sci. Instrum.
79
,
073301
(
2008
).
25.
T.
Bonnet
,
M.
Comet
,
D.
Denis-Petit
,
F.
Gobet
,
F.
Hannachi
,
M.
Tarisien
,
M.
Versteegen
, and
M. M.
Aleonard
, “
Response functions of Fuji imaging plates to monoenergetic protons in the energy range 0.6–3.2 MeV
,”
Rev. Sci. Instrum.
84
,
013508
(
2013
).
26.
C. G.
Freeman
,
G.
Fiksel
,
C.
Stoeckl
,
N.
Sinenian
,
M. J.
Canfield
,
G. B.
Graeper
,
A. T.
Lombardo
,
C. R.
Stillman
,
S. J.
Padalino
,
C.
Mileham
,
T. C.
Sangster
, and
J. A.
Frenje
, “
Calibration of a Thomson parabola ion spectrometer and Fujifilm imaging plate detectors for protons, deuterons, and alpha particles
,”
Rev. Sci. Instrum
82
,
073301
(
2011
).
27.
S.
Kojima
,
T.
Miyatake
,
S.
Inoue
,
T. H.
Dinh
,
N.
Hasegawa
,
M.
Mori
,
H.
Sakaki
,
M.
Nishiuchi
,
N. P.
Dover
,
Y.
Yamamoto
,
T.
Sasaki
,
F.
Ito
,
K.
Kondo
,
T.
Yamanaka
,
M.
Hashida
,
S.
Sakabe
,
M.
Nishikino
, and
K.
Kondo
, “
Absolute response of a Fuji BAS-TR imaging plate to low-energy protons (<0.2 MeV) and carbon ions (<1 MeV)
,”
Rev. Sci. Instrum.
92
,
033306
(
2021
).
28.
N.
Rabhi
,
D.
Batani
,
G.
Boutoux
,
J.-E.
Ducret
,
K.
Jakubowska
,
I.
Lantuejoul-Thfoin
,
C.
Nauraye
,
A.
Patriarca
,
A.
Saïd
,
A.
Semsoum
,
L.
Serani
,
B.
Thomas
, and
B.
Vauzour
, “
Calibration of imaging plate detectors to mono-energetic protons in the range 1–200 MeV
,”
Rev. Sci. Instrum.
88
,
113301
(
2017
).
29.
I. J.
Paterson
,
R. J.
Clarke
,
N. C.
Woolsey
, and
G.
Gregori
, “
Image plate response for conditions relevant to laser–plasma interaction experiments
,”
Meas. Sci. Technol.
19
,
095301
(
2008
).
30.
A.
Alejo
,
S.
Kar
,
H.
Ahmed
,
A. G.
Krygier
,
D.
Doria
,
R.
Clarke
,
J.
Fernandez
,
R. R.
Freeman
,
J.
Fuchs
,
A.
Green
,
J. S.
Green
,
D.
Jung
,
A.
Kleinschmidt
,
C. L.
Lewis
,
J. T.
Morrison
,
Z.
Najmudin
,
H.
Nakamura
,
G.
Nersisyan
,
P.
Norreys
,
M.
Notley
,
M.
Oliver
,
M.
Roth
,
J. A.
Ruiz
,
L.
Vassura
,
M.
Zepf
, and
M.
Borghesi
, “
Characterisation of deuterium spectra from laser driven multi-species sources by employing differentially filtered image plate detectors in Thomson spectrometers
,”
Rev. Sci. Instrum
85
,
093303
(
2014
).
31.
G.
Boutoux
,
N.
Rabhi
,
D.
Batani
,
A.
Binet
,
J.-E.
Ducret
,
K.
Jakubowska
,
J.-P.
Nègre
,
C.
Reverdin
, and
I.
Thfoin
, “
Study of imaging plate detector sensitivity to 5–18 MeV electrons
,”
Rev. Sci. Instrum.
86
,
113304
(
2015
).
32.
D. O.
Golovin
,
S. R.
Mirfayzi
,
S.
Shokita
,
Y.
Abe
,
Z.
Lan
,
Y.
Arikawa
,
A.
Morace
,
T. A.
Pikuz
, and
A.
Yogo
, “
Calibration of imaging plates sensitivity to high energy photons and ions for laser–plasma interaction sources
,”
J. Instrum.
16
,
T02005
(
2021
).
33.
D.
Doria
,
S.
Kar
,
H.
Ahmed
,
A.
Alejo
,
J.
Fernandez
,
M.
Cerchez
,
R. J.
Gray
,
F.
Hanton
,
D. A.
MacLellan
,
P.
McKenna
,
Z.
Najmudin
,
D.
Neely
,
L.
Romagnani
,
J. A.
Ruiz
,
G.
Sarri
,
C.
Scullion
,
M.
Streeter
,
M.
Swantusch
,
O.
Willi
,
M.
Zepf
, and
M.
Borghesi
, “
Calibration of BAS-TR image plate response to high energy (3–300 MeV) carbon ions
,”
Rev. Sci. Instrum.
86
,
123302
(
2015
).
34.
J.
Strehlow
,
P.
Forestier-Colleoni
,
C.
McGuffey
,
M.
Bailly-Grandvaux
,
T. S.
Daykin
,
E.
McCary
,
J.
Peebles
,
G.
Revet
,
S.
Zhang
,
T.
Ditmire
,
M.
Donovan
,
G.
Dyer
,
J.
Fuchs
,
E. W.
Gaul
,
D. P.
Higginson
,
G. E.
Kemp
,
M.
Martinez
,
H. S.
McLean
,
M.
Spinks
,
H.
Sawada
, and
F. N.
Beg
, “
The response function of Fujifilm BAS-TR imaging plates to laser-accelerated titanium ions
,”
Rev. Sci. Instrum.
90
,
083302
(
2019
).
35.
T.
Bonnet
,
M.
Comet
,
D.
Denis-Petit
,
F.
Gobet
,
F.
Hannachi
,
M.
Tarisien
,
M.
Versteegen
, and
M. M.
Aléonard
, “
Response functions of imaging plates to photons, electrons and 4He particles
,”
Rev. Sci. Instrum.
84
,
103510
(
2013
).
36.
See http://www.srim.org for more information about the Monte Carlo code SRIM (Stopping and Range of Ions in Matter).
37.
J. F.
Ziegler
,
M. D.
Ziegler
, and
J. P.
Biersack
, “
SRIM—The stopping and range of ions in matter
,”
Nucl. Instrum. Methods Phys. Res.B
268
,
1818
1823
(
2010
).
38.
V.
Lelasseux
and
J.
Fuchs
, “
Modelling energy deposition in TR image plate detectors for various ion types
,”
J. Instrum.
15
,
P04002
(
2020
).
39.
M.
Nishiuchi
,
H.
Sakaki
,
N. P.
Dover
,
T.
Miyahara
,
K.
Shiokawa
,
S.
Manabe
,
T.
Miyatake
,
K.
Kondo
,
K.
Kondo
,
Y.
Iwata
,
Y.
Watanabe
, and
K.
Kondo
, “
Ion species discrimination method by linear energy transfer measurement in Fujifilm BAS-SR imaging plate
,”
Rev. Sci. Instrum.
91
,
093305
(
2020
).
40.
J. B.
Birks
, “
Scintillations from organic crystals: Specific fluorescence and relative response to different radiations
,”
Proc. Phys. Soc. A
64
,
874
877
(
1951
).
41.
T.
Dzelzainis
,
G.
Nersisyan
,
D.
Riley
,
L.
Romagnani
,
H.
Ahmed
,
A.
Bigongiari
,
M.
Borghesi
,
D.
Doria
,
B.
Dromey
,
M.
Makita
,
S.
White
,
S.
Kar
,
D.
Marlow
,
B.
Ramakrishna
,
G.
Sarri
,
M.
Zaka-Ul-Islam
,
M.
Zepf
, and
C. L. S.
Lewis
, “
The TARANIS laser: A multi-terawatt system for laser-plasma investigations
,”
Laser Part. Beams
28
,
451
461
(
2010
).
42.
M.
Kanasaki
,
S.
Jinno
,
H.
Sakaki
,
K.
Kondo
,
K.
Oda
,
T.
Yamauchi
, and
Y.
Fukuda
, “
The precise energy spectra measurement of laser-accelerated MeV/n-class high-Z ions and protons using CR-39 detectors
,”
Plasma Phys. Controlled Fusion
58
,
034013
(
2016
).
43.
R.
Prasad
,
D.
Doria
,
S.
Ter-Avetisyan
,
P. S.
Foster
,
K. E.
Quinn
,
L.
Romagnani
,
C. M.
Brenner
,
J. S.
Green
,
P.
Gallegos
,
M. J. V.
Streeter
,
D. C.
Carroll
,
O.
Tresca
,
N.
Dover
,
C. A. J.
Palmer
,
J.
Schreiber
,
D.
Neely
,
Z.
Najmudin
,
P.
McKenna
,
M.
Zepf
, and
M.
Borghesi
, “
Calibration of Thomson parabola-MCP assembly for multi-MeV ion spectroscopy
,”
Nucl. Instrum. Methods Phys. Res., Sect. A
623
,
712
715
(
2010
).
44.
D.
Doria
,
P.
Martin
,
H.
Ahmed
,
A.
Alejo
,
M.
Cerchez
,
S.
Ferguson
,
J.
Fernandez-Tobias
,
J. S.
Green
,
D.
Gwynne
,
F.
Hanton
,
J.
Jarrett
,
D. A.
Maclellan
,
A.
McIlvenny
,
P.
McKenna
,
J. A.
Ruiz
,
M.
Swantusch
,
O.
Willi
,
S.
Zhai
,
M.
Borghesi
, and
S.
Kar
, “
Calibration of BAS-TR image plate response to GeV gold ions
,”
Rev. Sci. Instrum.
93
,
033304
(
2022
).
45.
D.
Jung
,
R.
Hörlein
,
D.
Kiefer
,
S.
Letzring
,
D. C.
Gautier
,
U.
Schramm
,
C.
Hübsch
,
R.
Öhm
,
B. J.
Albright
,
J. C.
Fernandez
,
D.
Habs
, and
B. M.
Hegelich
, “
Development of a high resolution and high dispersion Thomson parabola
,”
Rev. Sci. Instrum
82
,
013306
(
2011
).
46.
S.
Kar
,
P.
Martin
, and
A.
Alejo
, “
Dataset for Absolute calibration of Fujifilm BASTR image plate response to laser driven protons up to 40 MeV
,” Queen's University Belfast (
2022
).
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