Topical Workshop on “Scintillation Screens and Optical Technology for Transverse Profile Measurements” Krakow, Poland - April 1 to 3, 2019 Characterization of the spatial frequency response of a scintillator for beam size measurements using Heterodyne Near Field Speckles M. Siano, B. Paroli, M. A. C. Potenza (Universita’ degli Studi di Milano) U. Iriso, C. S. Kamma-Lorger, A. A. Nosych (ALBA-CELLS Synchrotron, Cerdanyola del Valles) S. Mazzoni, F . Roncarolo, G. Trad (CERN, Geneva)
Outline The Heterodyne Near Field Speckle (HNFS) technique The role of the scintillator Recent results at ALBA Conclusions and perspectives ARIES-ADA T opical Workshop – Krakow, Poland – April 1 to 3, 2019 M. Siano
The Heterodyne Near Field Speckle (HNFS) technique ARIES-ADA T opical Workshop – Krakow, Poland – April 1 to 3, 2019 M. Siano
General framework Interferometric beam size measurements Complex Coherence Factor (CCF) : source The Heterodyne * (⃗ r )= ⟨ E (⃗ r ) E r +Δ⃗ r )⟩ _ Near Field μ (Δ⃗ ( e beam) Speckle (HNFS) P 1 P 1 √ ⟨ I (⃗ r )⟩⟨ I (⃗ r +Δ⃗ r )⟩ technique P 2 P 2 The role of the partially coherent scintillator X-ray SR Free-space propagation, Recent results at Van Cittert – Zernike theorem : ALBA FT source intensity radiation Conclusions and perspectives distribution CCF ARIES-ADA T opical Workshop – Krakow, Poland – April 1 to 3, 2019 M. Siano
General framework Interferometric beam size measurements Young’s interferometer r Δ⃗ source The Heterodyne _ Near Field ( e beam) Speckle (HNFS) P 1 technique P 2 The role of the partially coherent scintillator X-ray SR Recent results at ALBA V = I max − I min r )| =| μ (Δ⃗ Conclusions and I max + I min perspectives ARIES-ADA T opical Workshop – Krakow, Poland – April 1 to 3, 2019 M. Siano
Colloids Colloids: a cloud of spherical particles suspended in water, randomly moving and wiggling , generating a stochastic, noisy-like intensity distribution known as speckles. The Heterodyne Near Field Speckle (HNFS) technique The role of the scintillator Recent results at ALBA Conclusions and perspectives ARIES-ADA T opical Workshop – Krakow, Poland – April 1 to 3, 2019 M. Siano
Single-particle scattering k = 2 π λ wavelength λ E s z E 0 The Heterodyne Near Field Speckle (HNFS) instantaneous technique interferogram − 14 s i kr 2 − 17 − 10 τ ≪ τ c ∼ 10 ikz e The role of the 2 z 0 ) e scintillator E s (⃗ r , z )∝ E 0 (⃗ z Recent results at ALBA 2 = | E 0 | 2 + 2 ℜ { E 0 E s 2 * } + | E s | | E s | ≪ | E 0 | I = | E 0 + E s | Conclusions and perspectives heterodyne conditions heterodyne term homodyne term ARIES-ADA T opical Workshop – Krakow, Poland – April 1 to 3, 2019 M. Siano
Single-particle scattering k = 2 π λ wavelength λ E s z E 0 The Heterodyne Near Field Speckle (HNFS) time-integrated technique interferogram i kr 2 ikz e The role of the 2 z 2 0 ) e k Δ r r ) | cos [ 2 z ] ℜ { ⟨ E 0 E s scintillator * ⟩ } ∝ | μ (Δ⃗ E s (⃗ r , z )∝ E 0 (⃗ z Recent results at ALBA Scattering from a single particle : paradigmatic layout to probe coherence between a selected point (the position of Conclusions and perspectives the particle) and all the others ARIES-ADA T opical Workshop – Krakow, Poland – April 1 to 3, 2019 M. Siano
Many-particles scattering i kr 2 ikz e 2 z 0 ) e N E s (⃗ r , z )∝ E 0 (⃗ ∑ i = 1 E s ,i (⃗ r , z ) z * ⟩ } N ℜ { ⟨ E 0 E s * ⟩ } = ∑ i = 1 ℜ { ⟨ E 0 E s ,i The Heterodyne Near Field Speckle (HNFS) technique The role of the scintillator Heterodyne speckles : Recent results at ALBA intensity sum of many equal single-particle Conclusions and interference images perspectives ARIES-ADA T opical Workshop – Krakow, Poland – April 1 to 3, 2019 M. Siano
The power spectrum 2 N > 1 N ≫ 1 | FT | The Heterodyne Near Field Speckle (HNFS) technique 2 zq 2 [ 2 k ] 2 I (⃗ q )= T ( q ) C (⃗ q ) C (⃗ q )= | μ (⃗ q ) | T ( q )= 2sin The role of the scintillator Power spectrum Radiation CCF Recent results at T albot Transfer Function (TTF) ALBA Spatial power spectrum of heterodyne speckles directly Conclusions and provides the interferometric information on 2D transverse perspectives coherence ARIES-ADA T opical Workshop – Krakow, Poland – April 1 to 3, 2019 M. Siano
The spatial master curve P Q q = k ⃗ ⃗ θ r Δ⃗ ⃗ θ q θ = z ⃗ r = z ⃗ z Δ⃗ O k The Heterodyne Spatial scaling Near Field Speckle (HNFS) technique The role of the simulations simulations scintillator λ = 0.1 nm Recent results at ALBA z 1 = 10 cm z 2 = 30 cm Conclusions and CCF perspectives ARIES-ADA T opical Workshop – Krakow, Poland – April 1 to 3, 2019 M. Siano
The role of the scintillator ARIES-ADA T opical Workshop – Krakow, Poland – April 1 to 3, 2019 M. Siano
HNFS @ NCD-SWEET (ALBA) sample scintillator IVU21 Si-111 monochr. λ = 0.1 nm 20X NA=0.4 The Heterodyne z Near Field 33 m Speckle (HNFS) (57 mm 450 mm) → technique scA1300-32gm monochrome The role of the 1296x966 scintillator 3.75x3.75 um 2 SiO 2 , 450 nm, c=10% Recent results at Period 21.3 mm Number of periods 92 ALBA YAG:Ce, 0.1 mm 5.86 mm Gap Beam current 150 mA Photon energy 12.4 KeV Conclusions and 10 -4 Relative bandwidth perspectives SR source size 131x8 um 2 (HxV) ARIES-ADA T opical Workshop – Krakow, Poland – April 1 to 3, 2019 M. Siano
General formulation of HNFS The two-dimensional power spectrum of speckled intensity distribution measured at a distance z from the sample can be expressed as: The Heterodyne I (⃗ q , z )= T ( q, z ) C (⃗ q, z ) H 0 (⃗ q ) S ( q )+ P ( q ) Near Field Speckle (HNFS) technique H (⃗ q ) The role of the scintillator only water T = T albot Transfer Function (TTF) Recent results at C = squared modulus of CCF ALBA H 0 = frequency response (scintillator, optics, CCD, … ) S = particle form factor Conclusions and P = noise contribution perspectives H = Instrumental Transfer Function (ITF) ARIES-ADA T opical Workshop – Krakow, Poland – April 1 to 3, 2019 M. Siano
Measuring the ITF z small ( | Δ⃗ r | < σ coh ) q θ = z ⃗ r ∼⃗ 0 C ∼ 1 r = z ⃗ Δ⃗ Δ⃗ k 57 mm 450 mm The Heterodyne Near Field Speckle (HNFS) technique The role of the scintillator Recent results at ALBA Conclusions and Short distances isotropy → ITF perspectives → Large distances anisotropy → 2D CCF → ARIES-ADA T opical Workshop – Krakow, Poland – April 1 to 3, 2019 M. Siano
Recent results at ALBA ARIES-ADA T opical Workshop – Krakow, Poland – April 1 to 3, 2019 M. Siano
Signal overview vertical ITF signal The Heterodyne Near Field noise Speckle (HNFS) 57 mm technique The role of the scintillator Recent results at ALBA Conclusions and perspectives ARIES-ADA T opical Workshop – Krakow, Poland – April 1 to 3, 2019 M. Siano
Signal overview vertical ITF signal V The Heterodyne Near Field signal H Speckle (HNFS) 57 mm technique noise The role of the scintillator Recent results at ALBA Conclusions and perspectives 200 mm ARIES-ADA T opical Workshop – Krakow, Poland – April 1 to 3, 2019 M. Siano
Reducing T albot oscillations horizontal vertical The Heterodyne Near Field Speckle (HNFS) technique The role of the scintillator Recent results at ALBA Conclusions and perspectives ARIES-ADA T opical Workshop – Krakow, Poland – April 1 to 3, 2019 M. Siano
Coherence and beam size horizontal vertical The Heterodyne Near Field Speckle (HNFS) technique The role of the scintillator Recent results at ALBA +∞ σ coh, x =( 8.1 ± 0.2 ) μ m σ x =( 115 ± 6 ) μ m 2 d Δ r σ coh = ∫ | μ (Δ r )| −∞ Conclusions and perspectives +∞ σ y =( 16 ± 2 ) μ m σ coh, y =( 60 ± 6 ) μ m σ coh = 2 ∫ 0 C (Δ r ) d Δ r ARIES-ADA T opical Workshop – Krakow, Poland – April 1 to 3, 2019 M. Siano
ITF: measurements z small, C=1 2 H ( q )= I ( q )− P ( q ) zq 2 [ 2 k ] T ( q )= 2sin T ( q ) 57 mm The Heterodyne vertical Near Field Speckle (HNFS) horizontal technique The role of the scintillator Recent results at ALBA Conclusions and perspectives ARIES-ADA T opical Workshop – Krakow, Poland – April 1 to 3, 2019 M. Siano
ITF: changing z ver: 57 mm 157 mm → The Heterodyne Near Field Speckle (HNFS) technique The role of the scintillator Recent results at ALBA Conclusions and perspectives ARIES-ADA T opical Workshop – Krakow, Poland – April 1 to 3, 2019 M. Siano
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