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EUSO Ray Tracing Program(s) Updating for Fully Polychromatic Sub-program

EUSO General Assembly #3 Huntsville, May 20, 2003. EUSO Ray Tracing Program(s) Updating for Fully Polychromatic Sub-program. Yoshiyuki Takahashi in cooperation with Hillman, Zuccaro, Pitalo, Takizawa, Kawasaki, Sakaki, Dolbeau, Gorodetzky, Plagnol, and C++(Pallavicini). PURPOSE

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EUSO Ray Tracing Program(s) Updating for Fully Polychromatic Sub-program

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  1. EUSO General Assembly #3 Huntsville, May 20, 2003 EUSO Ray Tracing Program(s) Updating for Fully Polychromatic Sub-program Yoshiyuki Takahashi in cooperation with Hillman, Zuccaro, Pitalo, Takizawa, Kawasaki, Sakaki, Dolbeau, Gorodetzky, Plagnol, and C++(Pallavicini)

  2. PURPOSE • Subprogram (RT-Ver-2) characterizes the tracing of rays that enter the EUSO lens and exit onto the Focal Surface (FS).. It is intended to be used in EUSO ESAF simulator. • This new version uses • Mitsubishi PMMA Grade-000 for with diffractive grating. • CYTOP with no grating. The refractive indices at each wavelengths in the NUV region • 300 – 400 nm, and absorption coefficients, for this program are • those provided by Mitsubishi, Asahi Glass, RIKEN and UAH. • This program is based on the UAH-SOMTC polychromatic design (Zuccaro-Pitalo-Hillman-Takahashi-Keys); transferred to non-Code-V ray generator by Y. Takizawa (RIKEN) et al. for ray tracing programming, and finally, to be converted in C++ by Pallavicini.

  3. DEFINITION • Geometry: S1S2S3S4:2.5-m D, S3 EPD 2.3-m (contingency, up to 2.4-m in future) • Lens surfaces of the first lens are called as S1 and S2 for the entrance surface and exit surface, respectively. The nodal point entrance pupil is named S3. The lens surfaces of the second lens 2 are defined as S4 and S5 for entrance surface and exit surface, respectively. • (2) Focal length. The f/# used is 1.0. • (3) Coordinates recorded. • Ray tracing provides the incoming rays to the S1 surface with the given entrance angle (theta_1, Phai_1)) at the lens surface coordinates (x1, y1, z1). Each ray is called for by the air shower event generator in ESAF, or by random numbers for the stand-alone simulation. The exiting rays from the OS hit the FS with angles (theta_3, phai_3) at (x3, y3, z3). The intermediate coordinates (x2, y2, z2) at the entrance pupil plane

  4. 4) Throughput by a separate Lookup-Table. • The program keeps the marginal rays that are lost from the focal • spot due to vignetting. Rays are tracked until they end on the focal surface or the EUSO structure. However, this errant ray tracing is limited to vignetting only. • No losses are in the ray program itself: loss due to scattering and absorption from lens surfaces and structural supports andwithin the bodies of the lenses. • All these losses are delt with by a separate empirical efficiency function given in the lookup table as a function of entrance angle, position and wavelength. This function is normalized to 1 for no loss. For each ray, a random number is used to compared with the efficiency function (0 - 1) to pick up the ray that survives. These rays that should survive are tracked and given to the focal spot.

  5. New update of EUSO Optics Ray Tracing Program(s) for ESAF • Fuly Polychromatic: • (1) PMMA #000 Diffractive: already MADE • (2) CYTOP Aspheric: starts for coding. • Existing Programs used in Phase-A simulations • 357 nm spot/angles used for 337 - 391 nm • (a) Ray Program with PMMA (non-UV) • UAH Optic CODE V + RIKEN Non-Code V • (b) Ray data bank from CODE V (UAH) • SamplingCode made in College de France • Difference of two Programs expected is small for event simulations

  6. Updated EUSO optics PMMA #000 Dif.

  7. CYTOP Polychromatic • 5- 6 mm RMS Diameter • 0 - 30 degs • ~ 40% smaller for aspheric • -> ~ 4 mm RMS Diameter • no diffractive gratings needed

  8. Updating Ray Trace Programs for EUSO ESAF TWO NEW POLYCHROMATIC VERSIONS BE PROVIDED Version 1: Grade #000 PMMA Achromatic Diffractive Version 2: CYTOP Achromatic (Aspheric) (Non-diffractive) Ver.1 produced Ver.2 in process Previous versions can still be used for most simulations

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