How to make high circular polarization on BCS. Takeshi Ohta RCNP, Osaka University, SPring-8

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1 How to make high circular polarization on BCS Takeshi Ohta RCNP, Osaka University, SPring-8

2 Laser Electron Photon at SPring-8 a) SPring-8 SR ring Collision 8 GeV electron Recoil electron g-ray Laser Electron tagging b) laser hutch Laser light Linearly polarized laser beam Polarization ~98% at 2.4 GeV c) experimental hutch

3 LEPS laser system Collision point Prism Paladin 355nm 1/2 Al coated mirror AR coated mirror Mirror, prism, half-wave plate, quarter-wave plate and polarizer is used for adapting to wave length of laser. Reference N. Muramatsu et al. Nucl. Instr. Meth. A737 (214) Pages

4 Amplitude Measurement of linear polarization Collision point Prism Paladin 355nm Photo diode Grid Analyzer 1/ Al coated mirror Measured data 1/ Angle AR coated mirror P l =95% polar plot

5 Amplitude Measurement of circular polarization Collision point Prism Paladin 355nm Photo diode Grid Analyzer 1/2.6 Al coated mirror Measured data 1/4 AR coated mirror polar plot Angle P c =93%

6 Calculation of polarization on BCS Reference A. D Angelo, O. Bartalini, V. Bellini, P. Levi Sandri, D. Moricciani, L. Nicoletti and A. Zucchiatti, Nucl. Instr. Meth. A455 (2).

7 Polarization [%] Polarization [%] Linear and Circular polarization on BCS BCS in SPring-8 BCS in CLS Laser wave length 355nm Laser wave length 1.6 um Electron energy 8 GeV Electron energy 2.9 GeV Maximum BCS energy 2.4 GeV Maximum BCS energy 15 MeV Lin. and CIr. Polarization depend on Energy Lin. pol Cir. pol Energy [GeV] Lin. and CIr. Polarization depend on Energy Lin. pol Cir. pol Energy [MeV] Photon energy by generated BCS is distributed from zero to maximum energy Lin. and Cir. polarization is over 9%.

8 Polarization light Ey Ex Linear polarization (vert. & hori.) Elliptical polarization Circular polarization Inclination elliptical polarization The phase difference and the reflection are affected between Ex and Ey. Especially, this effect is strong less than 2 um of laser wave length.

9 s-wave and p-wave s-wave (senkrecht wave) p-wave (parallel wave) Image from Wikipedia s-wave is vertical to injection plane. p-wave is parallel to injection plane. When the light enter to surface of matter, linear polarization and circular polarization is affected to amplitude and relative phase between Ex and Ey.

10 Description of reflection coefficient r p and r s r p and r s describes reflection coefficient. N 1 and N 2 is matter before and after injection. N 1 and N 2 is expanded refraction index including extinction e.g. N 1 = 1 (air) N 2 = 1.5 (for glass N 2 =.384 -i4.3 (for aluminum

11 Reflectance D= qp-qs [degree] tany = Rp / Rs Effects to circular polarization by glass (n=1.5) mirror 1 Reflectancce in alminum mirror 25 Effects of phase shift (D) and amplitude ratio (tany) on aluminum mirror Rp Rs Brewster angle Injection angle of light Brewster angle =56 deg. Reflectance Rp is zero at this angle Injection angle of light Phase difference is changed at point of Brewster angle This is showed as a explanation. We don t use glass mirror for BCS line.

12 Reflectance D= qp-qs [degree] tany = Rp / Rs Effects to circular polarization by evaporated aluminum mirror Reflectancce in alminum mirror Rp Rs Effects of phase shift (D) and amplitude ratio (tany) on aluminum mirror Injection angle of light Injection angle of light Evapolated aluminum index is n= i at 355 nm Aluminum mirror do not have Brewster angle.

13 Distortion of circular polarization by aluminum mirror Distorted Cirular polarization is distorted at the reflection on the surface of Al or Ag mirror

14 D= qp-qs [degree] tany = Rp / Rs Effects of phase difference (D) and reflection ratio (tany) on alminum mirror Injection angle of light 1 When injection angle is 45 degree Phase difference D is degree Refrection ratio tany is.947 X2 reflect Phase difference D is 323 degree Refrection ratio tany is.894

15 Comparision between measured data and calculation Measured data Measured data and calculation result are not consisted!! I miss other effects? Caluculation

16 Reflectance D= qp-qs [degree] tany = Rp / Rs The case of CLS BCS in CLS Laser wave length Electron energy Maximum BCS energy Reflectancce in alminum mirror Injection angle of light 1.6 um 2.9 GeV 15 MeV R p When injection angle is 45 degree Phase difference D is degree Refrection ratio tany is Note that this calculation guess!! I use the guessing index parameter N=5-5i Effects of phase shift (D) and amplitude ratio (tany) on alminum mirror Injection angle of light Effects by aluminum mirror to circular polarization are very small in the case of CLS

17 Summry Circular polarization is affected at reflection on the surface of aluminum mirror However I calculate the reflection ratio and phase difference, measurement data and calculation are not consist. Nothing to worry about the effects in the case of CLS CLS have a concept of high energy BCS and they use less than 1um wave length laser in future, it is better that they consider about distortion to circular polarization seriously before starting build up.

18 To avoid distortion of circular polarization. Suggestion 1 Collision point Prism Paladin 355nm Photo diode Grid Analyzer 1/4 1/2 Al coated mirror Put the 1/4 mirror inside vacuum chamber. It is difficult to remove or move 1/4 mirror. Is it possible that gas out from 1/4 mirros. AR coated mirror

19 To avoid distortion of circular polarization Suggestion 2 Collision point Prism Paladin 355nm Photo diode Grid Analyzer 1/4 1/2 Al coated Aluminum mirror mirror Put aluminum mirrors instead of AR coated mirrors. Laser light is reflected to vertical direction at aluminum mirrors set to outside vacuum chamber to horizontal direction at mirrors set to inside vacuum chamber.

20 To avoid distortion of circular polarization Suggestion 3 Photo diode Grid Analyzer Paladin 355nm 1/2 1/4 Put the 1/4 mirror inside vacuum chamber. It is difficult to remove or move 1/4 mirror. Is it possible that gas out from 1/4 mirros.

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