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FMLO: 周波数変調観測と相関推定によるミリ波サブミリ波高効率分光手法 / FMLO 201...

FMLO: 周波数変調観測と相関推定によるミリ波サブミリ波高効率分光手法 / FMLO 2017-05-29

@天文学におけるデータ科学的手法

Akio Taniguchi

May 29, 2017
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  1. FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔ ϛϦ೾αϒϛϦ೾ߴޮ཰෼ޫख๏ ୩ޱڿ੕ - Akio Taniguchi ౦ژେֶఱจֶڭҭݚڀηϯλʔ D3 ాଜ

    ཅҰ (໊ݹ԰େֶ); Տ໺ ޹ଠ࿠ (౦ژେֶ); ৞୩ ਔஉ, ߴڮ ໜ, લ઒ ३ (ࠃཱఱจ୆); ۷ࠐ ࣏ (෋࢜௨/θϩ); ञҪ ߶ (ి௨େ) 2017.05.29 @ ఱจֶʹ͓͚ΔσʔλՊֶతํ๏
  2. FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ Akio Taniguchi / 24 2017.05.29 2 • FMLOͰͷϙΠϯςΟϯά؍ଌͱੑೳධՁ

    • FMLOͰͷϚοϐϯά؍ଌͱੑೳධՁ Commissioning & evaluations of the FMLO Development of the FMLO The FMLO method • ैདྷͷεΠονϯά෼ޫ؍ଌͷ໰୊఺ • FMLO: ૬ؔࡶԻਪఆʹΑΔߴޮ཰ͷ෼ޫ؍ଌ • FMLOͷΩϟϦϒϨʔγϣϯͱ৴߸ॲཧ • FMLOͷ๬ԕڸ (໺ลࢁ45m / ASTE)΁ͷ࣮૷ x2 Contents
  3. Akio Taniguchi / FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ 3 24 2017.05.29 Introduction -

    ఱจֶʹ͓͚Δి೾ (ϛϦ೾αϒϛϦ೾)؍ଌͷҙٛ - 100 GHz 1 THz 10 THz 10 GHz ؍ଌप೾਺ 1 mm 1 cm 100 μm 10 μm 10 cm ؍ଌ೾௕ ηϯν೾ ϛϦ೾ ԕ੺֎ઢ/αϒϛϦ೾ ۙ/தؒ੺֎ઢ ൩ظܕ੕ͷ࣭ྔ์ग़ ௒৽੕࢒֚ ੕ܗ੒ྖҬ ݪ࢝࿭੕ܥԁ൫ ڊେϒϥοΫϗʔϧ ͷߴΤωϧΪʔݱ৅
  4. Akio Taniguchi / FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ 3 24 2017.05.29 Introduction -

    ఱจֶʹ͓͚Δి೾ (ϛϦ೾αϒϛϦ೾)؍ଌͷҙٛ - 100 GHz 1 THz 10 THz 10 GHz ؍ଌप೾਺ 1 mm 1 cm 100 μm 10 μm 10 cm ؍ଌ೾௕ ηϯν೾ ϛϦ೾ ԕ੺֎ઢ/αϒϛϦ೾ ۙ/தؒ੺֎ઢ ॳظӉ஦Ͱ஀ੜɾ੒௕ ͢Δരൃత੕ܗ੒ۜՏ
  5. Akio Taniguchi / FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ 4 24 2017.05.29 Introduction -

    ϛϦ೾αϒϛϦ೾ʹ͓͚Δ୯Ұڸ෼ޫ؍ଌͷҙٛ - • ALMA࣌୅Λܴ͑ͯ·͢·͢ॏཁͱͳΔߴޮ཰, ߴײ౓ͷ෼ޫ؍ଌख๏ • ୯ҰڸଟૉࢠΧϝϥαʔϕΠͰݟ͔ͭͬͨαϒϛϦ೾ۜՏ(SMG)ީิ ఱମͷ, ෼ޫϑΥϩʔΞοϓ؍ଌʹΑΔ੺ํภҠ, ෺ཧྔͷܾఆ • ޿ࢹ໺Λ׆͔ͨۜ͠Տ໘෼ࢠӢαʔϕΠͳͲͷ෼ޫϚοϐϯά؍ଌ • τʔλϧύϫʔͷऔಘʹΑΔ, ׯবܭը૾ͷ஧࣮ੑ (fidelity)ͷ޲্ ALMA (ESO/NAOJ/NRAO) ALMA/ACA 12m TP antennae +30° −30° −20° 0° +20° +10° −10° +30° −30° −20° 0° +20° +10° −10° Galactic Longitude Galactic Latitude 180° 160° 140° 120° 100° 80° 60° 40° 20° 0° 340° 320° 300° 280° 260° 240° 220° 200° 180° 170° 150° 130° 110° 90° 70° 50° 30° 10° 350° 330° 310° 290° 270° 250° 230° 210° 190° Beam S235 Per OB2 Polaris Flare Cam Cepheus Flare W3 G r e a t R i f t NGC7538 Cas A Cyg OB7 Cyg X W51 W44 Aquila Rift R CrA Ophiuchus Lupus Galactic Center G317−4 Coal Sack Carina Nebula Vela Mon R2 Maddalena’s Cloud CMa OB1 Mon OB1 Rosette Gem OB1 S147 S147 CTA-1 S212 λ O r i R g Lacerta Gum Nebula S. Ori Filament Hercules Galactic Latitude Ursa Major 0° +20° 0.0 0.5 1.0 1.5 2.0 FIG. 2.–Velocity-integrated CO map of the Milky Way. The angular resolution is 9´ over most of the map, including the entire Galactic plane, but is lower (15´ or 30´) in some regions out of the plane (see Fig. 1 & Table 1). The sensitivity varies somewhat from region to region, since each component survey was integrated individually using moment masking or clipping in order to display all statistically significant emission but little noise (see §2.2). A dotted line marks the sampling boundaries, given in more detail in Fig. 1. CO Galactic Survey (Dame+01) Figure 1. 20 GHz wide spectral scan at a velocity resolution of 200 km s−1 toward SMM J14009+0252 in the 3 mm window. A CO emission feature is seen at ∼88 GHz (see Figure 2 for a presentation of the CO line at higher spectral resolution). We first scanned the full 3 mm tuning range of EMIR with ∼2 hr of observing for each tuning. The tunings were spaced to provide 500 MHz overlap. Excellent receiver noise temperatures across the band (35–45 K) resulted in typical system temperatures of ∼100 K. The resulting spectrum had an rms noise level of 0.5 mK (≈3.5 mJy) at a velocity resolution of 200 km s−1 but did not show clear evidence for CO line emission. We then increased the integration time for the lower part (<105 GHz) of the 3 mm band until we reached an average rms noise level of 0.2 mK (1.2 mJy). The resulting spectrum, as shown in Figure 1, shows a line at ∼88 GHz. At this stage, the source redshift was still not determined as it was not clear which CO transition was detected in the 3 mm scan. We therefore used the dual-frequency 3/2 mm (E090/ E150) setup of EMIR to search for a second CO transition in the 2 mm band and to increase the signal-to-noise ratio (S/N) of the 3 mm line. In this configuration, each frequency band has an instantaneous, dual-polarization bandwidth of 4 GHz. The 2 mm mixers were tuned to 146.5 GHz, under the assumption that the 3 mm line was the CO(3–2) transition at z = 2.93. At this frequency, the receiver noise temperature was ∼30 K, yielding a system temperature of ∼120 K. SMM J14009+0252 was observed in the dual-frequency setup for ∼5 hr and we clearly detected a second line in the 2 mm band (see Figure 2). Additional 2 mm data were taken in an attempt to observe a third spectra is 160 µK (1.0 mJy) and 180 µK (1.3 mJy) at 3 mm and 2 mm, respectively. Both lines are detected at high significance (9 and 12 σ for the integrated intensities). The line profiles for both lines are very similar and well described by a single Gaussian with a FWHM of 470 km s−1. The parameters derived from Gaussian fits to both line profiles are given in Table 1. The frequencies unambiguously identify the lines as CO(3–2) and CO(5–4) (see our discussion below). Combining the centroids of both lines, we derive a variance-weighted mean redshift for SMM J14009+0252 of z = 2.9344 ± 2 × 10−4. 4. DISCUSSION At first glance, the observed frequencies cannot only be interpreted as CO(3–2) and CO(5–4) at z = 2.93 but also as CO(6–5) and CO(10–9) at z = 6.88 or even CO(9–8) and CO(15–14) at z = 10.80. The CO ladder, however, is not equidistant in frequency which results in small, but significant differences for the frequency separation of the line pairs as a function of rotational quantum number. The frequency separation is 58.577, 58.532, and 58.458 GHz for the CO line pairs at redshifts 2.93, 6.88, and 10.80, respectively. Our observations yield δν = 58.581 ± 0.017 GHz, which identifies the lines as CO(3–2) and CO(5–4) at z = 2.93. Our redshift confirms earlier photometric redshift estimates by Ivison et al. (2000, z > 2.8 based on S450/S850 and 3 < z < 5 based on the whole spectral energy distribution (SED)), Yun & Carilli (2002, z ∼ 3.5 based on the dust SED) and more recently by Hempel et al. (2008, z = 2.8–3 based on optical/IR photometry). With the precise redshift and the observed CO line lumi- nosities in hand, we can estimate the molecular gas content of Figure 2. Spectra of the CO(3–2) (left) and CO(5–4) (right) lines toward SMM J14009+0252. The spectral resolution is 60 km s−1 for both lines. See Table 1 for the fit parameters. CO Blind Redshift Survey (Weiß+09)
  6. Akio Taniguchi / FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ 5 24 2017.05.29 Introduction -

    ैདྷͷϙδγϣϯ/प೾਺εΠον๏ͱͦͷ໰୊఺ - • OFF఺؍ଌʹΑΔ؍ଌޮ཰ ηobs (=ton/ttotal)ͷ௿Լ • OFF఺ΛऔΔͷ͕೉͍ۜ͠Տ໘αʔϕΠͰ΋ෆར • ON-OFF (ON1-ON2)ʹΑΔϕʔεϥΠϯ͏ͶΓͷൃੜ • ઢ෯͕޿͘, ڧ౓ͷऑ͍high-zͷًઢ؍ଌʹ͸ෆར • ON-OFF (ON1-ON2)ʹΑΔϊΠζϨϕϧͷѱԽ • ON఺ͱಉ͡OFF఺ͷ؍ଌ࣌ؒͰ΋√2ഒѱԽ ASTE ON OFF Pon Poff Troom × νobs νobs Proom Psky νobs = TA * Calibration of PSW (chopper wheel) Spectrum
  7. Akio Taniguchi / FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ 5 24 2017.05.29 Introduction -

    ैདྷͷϙδγϣϯ/प೾਺εΠον๏ͱͦͷ໰୊఺ - • OFF఺؍ଌʹΑΔ؍ଌޮ཰ ηobs (=ton/ttotal)ͷ௿Լ • OFF఺ΛऔΔͷ͕೉͍ۜ͠Տ໘αʔϕΠͰ΋ෆར • ON-OFF (ON1-ON2)ʹΑΔϕʔεϥΠϯ͏ͶΓͷൃੜ • ઢ෯͕޿͘, ڧ౓ͷऑ͍high-zͷًઢ؍ଌʹ͸ෆར • ON-OFF (ON1-ON2)ʹΑΔϊΠζϨϕϧͷѱԽ • ON఺ͱಉ͡OFF఺ͷ؍ଌ࣌ؒͰ΋√2ഒѱԽ Φϑ఺
 ๬ԕڸҠಈ
 ͦͷଞ 62% Φϯ఺
 ʢflaggedʣ 25% Φϯ఺
 ʢusedʣ 13% Pon Poff Troom × νobs νobs Proom Psky νobs = TA * Calibration of PSW (chopper wheel) Spectrum
  8. Akio Taniguchi / Observing time (sec) Intensity (K) Time frequency

    (Hz) PSD (K/Hz) ૬ؔࡶԻ ఱମ৴߸ FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ 6 24 2017.05.29 The FMLO method - ࿈ଓ೾Χϝϥ: ૬ؔࡶԻͷ෼཭ʹΑΔߴޮ཰ͷ؍ଌ - • ࿈ଓ೾ଟૉࢠΧϝϥͰ͸͢Ͱʹߴޮ཰ (ηobs =90-100%)ͳ؍ଌʂ • OFF఺ͷ੒෼͸ૉࢠʹڞ௨ʹ߱Γ஫͙ (૬ؔࡶԻ)ͱ͍͏ੑ࣭Λར༻ • ๬ԕڸͷࢹ໺ΛৼΓճ͠, ఱମ৴߸͕ೖࣹ͢ΔૉࢠΛ࣍ʑʹม͑ͳ͕ Β, ΧϝϥͷεφοϓγϣοτΛߴස౓ (~10Hz)ʹऔಘ͢Δ؍ଌख๏ • ఱମ৴߸͸ۭ࣌ؒؒͰߴप೾ଆ΁มௐ (~10 Hz) • ૬ؔࡶԻ͸ҰํͰ௿प೾ଆ (<1 Hz)ͷ੒෼͕୎ӽ (1/f, 1/f2 like) • ओ੒෼෼ੳʹΑͬͯ૬ؔࡶԻ(=෼ࢄ͕େ͖͍)ΛϑΟϧλΞ΢τ(HPF) AzTEC/ASTE (Wilson et al. 2008) Χϝϥ1ૉࢠͷ࣌ܥྻσʔλͱύϫʔεϖΫτϧີ౓(PSD) FFT
  9. Akio Taniguchi / FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ 6 24 2017.05.29 The FMLO

    method - ࿈ଓ೾Χϝϥ: ૬ؔࡶԻͷ෼཭ʹΑΔߴޮ཰ͷ؍ଌ - • ࿈ଓ೾ଟૉࢠΧϝϥͰ͸͢Ͱʹߴޮ཰ (ηobs =90-100%)ͳ؍ଌʂ • OFF఺ͷ੒෼͸ૉࢠʹڞ௨ʹ߱Γ஫͙ (૬ؔࡶԻ)ͱ͍͏ੑ࣭Λར༻ • ๬ԕڸͷࢹ໺ΛৼΓճ͠, ఱମ৴߸͕ೖࣹ͢ΔૉࢠΛ࣍ʑʹม͑ͳ͕ Β, ΧϝϥͷεφοϓγϣοτΛߴස౓ (~10Hz)ʹऔಘ͢Δ؍ଌख๏ • ఱମ৴߸͸ۭ࣌ؒؒͰߴप೾ଆ΁มௐ (~10 Hz) • ૬ؔࡶԻ͸ҰํͰ௿प೾ଆ (<1 Hz)ͷ੒෼͕୎ӽ (1/f, 1/f2 like) • ओ੒෼෼ੳʹΑͬͯ૬ؔࡶԻ(=෼ࢄ͕େ͖͍)ΛϑΟϧλΞ΢τ(HPF) AzTEC/ASTE (Wilson et al. 2008) Χϝϥ1ૉࢠͷ࣌ܥྻσʔλͱύϫʔεϖΫτϧີ౓(PSD) Time frequency (Hz) PSD (K/Hz) Observing time (sec) Intensity (K) ओ੒෼෼ੳ(HPF) FFT
  10. Akio Taniguchi / FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ 6 24 2017.05.29 The FMLO

    method - ࿈ଓ೾Χϝϥ: ૬ؔࡶԻͷ෼཭ʹΑΔߴޮ཰ͷ؍ଌ - • ࿈ଓ೾ଟૉࢠΧϝϥͰ͸͢Ͱʹߴޮ཰ (ηobs =90-100%)ͳ؍ଌʂ • OFF఺ͷ੒෼͸ૉࢠʹڞ௨ʹ߱Γ஫͙ (૬ؔࡶԻ)ͱ͍͏ੑ࣭Λར༻ • ๬ԕڸͷࢹ໺ΛৼΓճ͠, ఱମ৴߸͕ೖࣹ͢ΔૉࢠΛ࣍ʑʹม͑ͳ͕ Β, ΧϝϥͷεφοϓγϣοτΛߴස౓ (~10Hz)ʹऔಘ͢Δ؍ଌख๏ • ఱମ৴߸͸ۭ࣌ؒؒͰߴप೾ଆ΁มௐ (~10 Hz) • ૬ؔࡶԻ͸ҰํͰ௿प೾ଆ (<1 Hz)ͷ੒෼͕୎ӽ (1/f, 1/f2 like) • ओ੒෼෼ੳʹΑͬͯ૬ؔࡶԻ(=෼ࢄ͕େ͖͍)ΛϑΟϧλΞ΢τ(HPF) ݕग़ૉࢠ มௐํ๏ ֓೦ਤ ࿈ଓ೾ଟૉࢠ Χϝϥ Χϝϥͷૉࢠ (Nch=100-10000) ๬ԕڸࢹ໺ΛৼΔ (ۭؒํ޲2࣍ݩ) ෼ޫ؍ଌʁ ෼ޫܭνϟϯωϧ (Nch=4096) ؍ଌप೾਺ΛৼΔ (प೾਺ํ޲1࣍ݩ)
  11. Akio Taniguchi / FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ 7 24 2017.05.29 ෮ௐɾੵ෼ ہ෦ൃৼث(LO)ͷप೾਺Λมௐ(FM)ͤ͞ఱମ৴߸͕ೖࣹ͢Δ෼ޫܭ

    νϟϯωϧΛ࣍ʑͱมԽͤ͞ͳ͕Β, ෼ޫܭग़ྗΛߴස౓(10Hz)ʹऔಘ ͢Δ͜ͱͰ, νϟϯωϧʹڞ௨ʹ߱Γ஫͙૬ؔࡶԻΛ෼཭͢Δ؍ଌख๏ “ ” Frequency-Modulating Local Oscillator (Y. Tamura et al.) The FMLO method - FMLO: ૬ؔࡶԻͷ෼཭ʹΑΔߴޮ཰ͷ"෼ޫ"؍ଌ -
  12. Akio Taniguchi / FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ 7 24 2017.05.29 FMLO؍ଌͷϝϦοτͱϦϛοτ प೾਺εΠον(FSW)؍ଌͱͷൺֱ

    • ؍ଌޮ཰޲্ɿ࣮ޮతʹײ౓͕޲্ • Φϑ఺ෆཁɿۜՏ໘؍ଌʹ͝རӹ • ௿ίετɿେ͖ͳϋʔυ΢ΣΞվमෆཁ • αΠυόϯυ෼཭ɿιϑτ΢ΣΞϕʔε • ࿈ଓ೾؍ଌɿ޿͕ͬͨ੒෼΁ͷײ౓͕ͳ͍ • ஍ٿେؾ෼ࢠɿًઢ͕ࠞೖ͢ΔՄೳੑ • ૬ؔࡶԻͱ͍͏֓೦ɿେؾ์ࣹ͕୎ӽ ͢ΔϛϦ೾/αϒϛϦ೾Ͱ΋࢖༻Մೳ • ײ౓ͷ޲্ɿϥΠϯϑϦʔͳεϖΫτϧ ͔ΒͷϊΠζ͕෇Ճ͠ͳ͍ • ޿؍ଌଳҬɿhigh-zًઢ؍ଌʹ࢖༻Մೳ ෮ௐɾੵ෼ ” The FMLO method - FMLO: ૬ؔࡶԻͷ෼཭ʹΑΔߴޮ཰ͷ"෼ޫ"؍ଌ -
  13. Akio Taniguchi / FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ 8 24 2017.05.29 The FMLO

    method - ؍ଌํ͔ࣜΒղੳख๏·Ͱͷแׅతͳ։ൃ - x2 ؍ଌ ղੳ๏ ཉ͍͠৘ใ • ૬ؔ੒෼ਪఆˠഎܠࡶԻআڈ • ౷ܭख๏: PCA / PPCAͳͲ (ޙड़) • ୯Ұڸप೾਺"มௐ"؍ଌ • ॠؒॠؒͷഎܠࡶԻਪఆ • ैདྷख๏ͱໃ६ͳ͍ ఱମ৴߸εϖΫτϧ
  14. FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ Akio Taniguchi / 24 2017.05.29 9 • FMLOͰͷϙΠϯςΟϯά؍ଌͱੑೳධՁ

    • FMLOͰͷϚοϐϯά؍ଌͱੑೳධՁ Commissioning & evaluations of the FMLO Development of the FMLO The FMLO method • ैདྷͷεΠονϯά෼ޫ؍ଌͷ໰୊఺ • ૬ؔࡶԻͷ෼཭ʹΑΔߴޮ཰ͷ෼ޫ؍ଌ x2 Contents • FMLOͷΩϟϦϒϨʔγϣϯͱ৴߸ॲཧ • FMLOͷ๬ԕڸ (໺ลࢁ45m / ASTE)΁ͷ࣮૷
  15. Akio Taniguchi / FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ 10 24 2017.05.29 Development of

    the FMLO - FMLOͷ৴߸ॲཧ: ղੳͷϑϩʔνϟʔτ - gain correlated noises spectrum revert if estimate is not converged demodulate estimate apply (divide) estimate apply (subtract) estimated gain correlated noises estimated by PPCA raw time series data of ON point gain-corrected time series data cleaned time series data demodulated time series data time νIF
  16. Akio Taniguchi / FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ 11 24 2017.05.29 Development of

    the FMLO - FMLOͷ৴߸ॲཧ: ओ੒෼෼ੳ (PCA)ʹΑΔ૬ؔࡶԻͷਪఆ - ૬ؔࡶԻ ఱମ৴߸ ؍ଌσʔλ D (=෼ޫνϟϯωϧ਺)࣍ݩ্ۭؒͰ෼ࢄ͕େ͖͍੒෼ (ओ੒෼) → ૬ؔࡶԻ εϖΫτϧ ෮ௐ, ੵ෼ ओ੒෼1 ओ੒෼2 D࣍ݩۭؒ ࣌ܥྻσʔλ ΛD࣍ݩۭؒ ্ʹϓϩοτ ্͔Βkݸͷओ ੒෼͔Β࣌ܥྻ σʔλΛ࠶ߏ੒ →૬ؔࡶԻ ෼ޫνϟϯωϧDݸ ࣌ࠁ t Ͱͷ εϖΫτϧ
  17. Akio Taniguchi / FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ 12 24 2017.05.29 Development of

    the FMLO - FMLOͷ৴߸ॲཧ: ओ੒෼෼ੳ (PCA)ʹΑΔ૬ؔࡶԻͷਪఆ - ૬ؔࡶԻ ఱମ৴߸ ؍ଌσʔλ ओ੒෼෼ੳ(ዞҙత) ͜Ε͚ͩͰ͸૬ؔࡶԻͱఱମ৴߸͕ਖ਼͘͠ਪఆ͞Εͳ͍ εϖΫτϧ ෮ௐ, ੵ෼ • ૬ؔࡶԻͷਪఆ͸ओ੒෼෼ੳ1ճͷΈ • ఱମ৴߸͕૬ؔࡶԻͱͯ͠ਪఆ͞Εͯ͠·͏ • ًઢͷڧ౓, ϓϩϑΝΠϧͷ࠶ݱੑ͕ѱ͘ͳΔ • ࢖༻͢Δओ੒෼ͷ਺͸Ϣʔβʔ͕ዞҙతʹࢦఆ • ૬ؔࡶԻʹؚ·ΕΔϞʔυͷ਺Λਪఆ͢ΔͨΊʹ ͸ଟେͳܭࢉྔ͕ैདྷ͸ඞཁͩͬͨ
  18. Akio Taniguchi / FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ 8% 8% 40% 40% 10%

    10% 13 24 2017.05.29 DD-MM-YYYY Development of the FMLO - FMLOͷ৴߸ॲཧ: ओ੒෼෼ੳ (PCA)ʹΑΔ૬ؔࡶԻͷਪఆ - PCAࡁΈ࣌ܥྻσʔλͷڞ෼ࢄߦྻͷධՁ (=૬ؔࡶԻͷ࢒Γ۩߹) ɾɾɾ ෼ޫܭνϟϯωϧ (ch) ෼ޫܭνϟϯωϧ (ch) TA * (K) TA * (K) ͏ͶΓͷऔΕ۩߹ ًઢͷ࠶ݱੑ PCAʹ࢖ͬͨओ੒෼ͷ਺ k ଟ͗͢ গͳ͗͢
  19. Akio Taniguchi / FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ 8% 8% 40% 40% 10%

    10% 13 24 2017.05.29 DD-MM-YYYY Development of the FMLO - FMLOͷ৴߸ॲཧ: ओ੒෼෼ੳ (PCA)ʹΑΔ૬ؔࡶԻͷਪఆ - PCAࡁΈ࣌ܥྻσʔλͷڞ෼ࢄߦྻͷධՁ (=૬ؔࡶԻͷ࢒Γ۩߹) ɾɾɾ ෼ޫܭνϟϯωϧ (ch) ෼ޫܭνϟϯωϧ (ch) TA * (K) TA * (K) ͏ͶΓͷऔΕ۩߹ ًઢͷ࠶ݱੑ PCAʹ࢖ͬͨओ੒෼ͷ਺ k ଟ͗͢ গͳ͗͢ ࠷దͳओ੒෼਺kopt͸͜͜Β΁Μͷ͸ͣ... Ͱ΋ɺ૯౰ͨΓͰௐ΂Δͷ͸͕͔͔࣌ؒΔʂ
  20. Akio Taniguchi / FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ 14 24 2017.05.29 Development of

    the FMLO - FMLOͷ৴߸ॲཧ: ֬཰Ϟσϧ+ओ੒෼෼ੳ (PPCA)ͱ൓෮ਪఆ - ૬ؔࡶԻ ఱମ৴߸ ؍ଌσʔλ ऩଋ൑ఆ(YES) ऩଋ൑ఆ(NO) εϖΫτϧ ૬ؔࡶԻΛ൓෮తʹਪఆ(Chapin+13) ओ੒෼෼ੳ(٬؍త) ֬཰Ϟσϧ ֬཰Ϟσϧ(Tipping+99)Λಋ ೖ͠, ૬ؔࡶԻʹؚ·ΕΔ Ϟʔυͷ਺(=ओ੒෼਺)Λ ٬؍త͔ͭߴ଎ʹܾఆ ओ੒෼෼ੳͷ࠷దԽ
  21. Akio Taniguchi / FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ 15 24 2017.05.29 Development of

    the FMLO - FMLOͷ৴߸ॲཧ: ֬཰Ϟσϧ+ओ੒෼෼ੳ (PPCA)ͱ൓෮ਪఆ - • ૬ؔࡶԻͷਪఆʹ֬཰తͳղऍΛ༩͑, ٬؍తʹධՁ͢Δ͜ͱ͕Ͱ͖Δ • ૯౰ͨΓܭࢉʹൺ΂, ܭࢉྔ͕1έλҎ্গͳͯ͘ࡁΉͨΊ, ൓෮Ϟσϧ ΁૊ΈࠐΜͰ΋ݱ࣮తͳ࣌ؒͰϦμΫγϣϯ͕ՄೳͱͳΔ ૬ؔࡶԻͷਪఆʹ༻͍ͨओ੒෼਺ k ૬ؔࡶԻ෼཭ޙͷڞ෼ࢄͷׂ߹ ૯౰ͨΓܭࢉ ֬཰Ϟσϧ 1.5% TA * (K) ओ੒෼਺ k͕࠷దͳ৔߹ ૬ؔࡶԻ෼཭ޙͷσʔλͷڞ෼ࢄ੒෼ͷׂ߹ (=૬ؔࡶԻͷ࢒Γ۩߹)ΛධՁ
  22. Akio Taniguchi / FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ 16 24 2017.05.29 Development of

    the FMLO - FMLOͷ৴߸ॲཧ: ղੳͷϑϩʔνϟʔτ - gain correlated noises spectrum revert if estimate is not converged demodulate estimate apply (divide) estimate apply (subtract) estimated gain correlated noises estimated by PPCA raw time series data of ON point gain-corrected time series data cleaned time series data demodulated time series data time νIF
  23. FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ Akio Taniguchi / 24 2017.05.29 17 • FMLOͰͷϙΠϯςΟϯά؍ଌͱੑೳධՁ

    • FMLOͰͷϚοϐϯά؍ଌͱੑೳධՁ Commissioning & evaluations of the FMLO Development of the FMLO The FMLO method • ैདྷͷεΠονϯά෼ޫ؍ଌͷ໰୊఺ • ૬ؔࡶԻͷ෼཭ʹΑΔߴޮ཰ͷ෼ޫ؍ଌ x2 Contents • FMLOͷΩϟϦϒϨʔγϣϯͱ৴߸ॲཧ • FMLOͷ๬ԕڸ (໺ลࢁ45m / ASTE)΁ͷ࣮૷
  24. Akio Taniguchi / FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ 18 24 2017.05.29 Commissioning and

    Evaluations of the FMLO - 45m/FMLOͰͷϙΠϯςΟϯά؍ଌ (Band3 / 110 GHz) - 13CO(1-0) CH3CN O3(atmosphere) O3(atmosphere) FMLO-PSW residual spectrum Ori-KL (USB) FMLO spectrum 45m
  25. Akio Taniguchi / FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ 18 24 2017.05.29 Commissioning and

    Evaluations of the FMLO - 45m/FMLOͰͷϙΠϯςΟϯά؍ଌ (Band3 / 110 GHz) - 13CO(1-0) CH3CN O3(atmosphere) O3(atmosphere) FMLO-PSW residual spectrum Ori-KL (USB) FMLO spectrum 45m
  26. Akio Taniguchi / FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ 18 24 2017.05.29 Commissioning and

    Evaluations of the FMLO - 45m/FMLOͰͷϙΠϯςΟϯά؍ଌ (Band3 / 110 GHz) - 13CO(1-0) CH3CN O3(atmosphere) O3(atmosphere) FMLO-PSW residual spectrum Ori-KL (USB) FMLO spectrum 45m • FMLO observing efficiency is 4.6x higher than PSW one • FMLO spectrum is 1.9x deeper than PSW one for fixed observing time • no additional noise from off-point and baseline wiggle
  27. Akio Taniguchi / FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ 19 24 2017.05.29 Commissioning and

    Evaluations of the FMLO - ASTE/FMLOͰͷϙΠϯςΟϯά؍ଌ (Band7 / 345 GHz) - Orion CO(3-2) FMLO spectrum ASTE • FMLO observing efficiency is 2x higher than PSW one • FMLO goes 1.6x deeper than PSW for fixed observing time
  28. Akio Taniguchi / FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ 19 24 2017.05.29 Commissioning and

    Evaluations of the FMLO - ASTE/FMLOͰͷϙΠϯςΟϯά؍ଌ (Band7 / 345 GHz) - Orion CO(3-2) FMLO spectrum ASTE • FMLO observing efficiency is 2x higher than PSW one • FMLO goes 1.6x deeper than PSW for fixed observing time
  29. Akio Taniguchi / FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ 19 24 2017.05.29 Commissioning and

    Evaluations of the FMLO - ASTE/FMLOͰͷϙΠϯςΟϯά؍ଌ (Band7 / 345 GHz) - Orion CO(3-2) FMLO spectrum ASTE • FMLO observing efficiency is 2x higher than PSW one • FMLO goes 1.6x deeper than PSW for fixed observing time
  30. Akio Taniguchi / • FMLO observing efficiency is 1.5x higher

    than PSW one • FMLO mapping is 1.4x deeper than OTF one for fixed observing time • no off-point observation and reducing the effect of scan pattern FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ 20 24 2017.05.29 Commissioning and Evaluations of the FMLO - 45m/FMLOͰͷOrion-KLϚοϐϯά؍ଌ (Band3 / 110 GHz) - Integrated intensity of FMLO mapping Integrated intensity of conventional OTF Residual S/N (residual over noise level) 45m
  31. Akio Taniguchi / FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ 21 24 2017.05.29 Commissioning and

    Evaluations of the FMLO - ASTE/FMLOͰͷOrion-KLϚοϐϯά؍ଌ (Band8 / 492 GHz) - • Verifying FMLO mapping of [CI] (tON~44min, tobs~61min) • Integrated intensity is almost consistent with conventional OTF OTF [CI] (Shimajiri+13) 10 20 30 40 50 (K km/s) FMLO [CI] (preliminary!) ASTE
  32. FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ Akio Taniguchi / 24 2017.05.29 22 Earth ஍ٿେؾًઢ͕ࠞೖ

    ͢Δ͜ͱΛੵۃతʹ׆༻ ͨ͠ɺ஍ٿߴ૚େؾʹର ͢Δ৽ͨͳ؍ଌखஈ High-z ۜՏͷfaint & broadͳ ෼ࢠɾݪࢠΨεͷݕग़΍ɺ GRB࢒ޫʹର͢Δ୹࣌ؒ ͷ෼ޫ؍ଌ(ٵऩઢ୳ࠪ) Galactic Φϑ఺Λ཭Εͨ৔ॴʹऔ Δඞཁ͕͋ΔۜՏ໘ʹ ର͢Δɺߴޮ཰ͳ ޿Ҭ෼ࢠΨε୳ࠪ FMLO ہ෦ൃৼثͷप೾਺Λ มௐ͠ɺ૬ؔࡶԻΛআڈ͢Δ ͜ͱͰߴޮ཰؍ଌΛՄೳʹ͢Δɺ ৽͍͠ϛϦ೾αϒϛϦ೾෼ޫ๏ Future Prospects of the FMLO
  33. FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ Akio Taniguchi / 24 2017.05.29 23 Future Prospects

    of the FMLO ~2016 2017 2018 2019~ • 45m/ASTE΁ͷFMLO౥ࡌ • ৴߸ॲཧͷ։ൃͱࢼݧ • pointing/mapping؍ଌͷ࣮ূ • LMT΁ͷ౥ࡌɾࢼݧ • ෳ਺ૉࢠFMLOͷ࣮ূʁ • େن໛෼ޫܭ޲͚։ൃʁ • ৴߸ॲཧͷߴਫ਼౓Խ • େؾًઢαʔϕΠ • ϕετσʔλͷऔಘ • ౤ߘ࿦จɾ୩ޱD࿦ • 45m/ASTEڞಉར༻ʁ • ALMA TP Array΁ͷԠ༻ʁ
  34. FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ Akio Taniguchi / 24 2017.05.29 23 Future Prospects

    of the FMLO ~2016 2017 2018 2019~ • 45m/ASTE΁ͷFMLO౥ࡌ • ৴߸ॲཧͷ։ൃͱࢼݧ • pointing/mapping؍ଌͷ࣮ূ • LMT΁ͷ౥ࡌɾࢼݧ • ෳ਺ૉࢠFMLOͷ࣮ূʁ • େن໛෼ޫܭ޲͚։ൃʁ • औΓग़͍ͨ͠ͷ͸ओ੒෼"Ҏ֎"ͷ੒෼ • εύʔεੑ͸ظ଴Ͱ͖Δ͕ৗʹೖࣹ͍ͯ͠Δ
 ˠৗʹ֎Ε஋ΛؚΉD࣍ݩσʔλΛͲ͏ѻ͏ʁ • ֎Ε஋Λѻ͑ΔEM๏ + PCA͕༗ޮʁ gain-corrected time series data
  35. FMLO: प೾਺มௐ؍ଌͱ૬ؔਪఆʹΑΔsub/mmߴޮ཰෼ޫख๏ Akio Taniguchi / 24 2017.05.29 24 • FMLOͰͷϙΠϯςΟϯά؍ଌͱੑೳධՁ

    • FMLOͰͷϚοϐϯά؍ଌͱੑೳධՁ Commissioning & evaluations of the FMLO Development of the FMLO The FMLO method • ैདྷͷεΠονϯά෼ޫ؍ଌͷ໰୊఺ • ૬ؔࡶԻͷ෼཭ʹΑΔߴޮ཰ͷ෼ޫ؍ଌ x2 Summary • FMLOͷΩϟϦϒϨʔγϣϯͱ৴߸ॲཧ • FMLOͷ๬ԕڸ (໺ลࢁ45m / ASTE)΁ͷ࣮૷