Compact Array vs Large Single Dish Telescope - which is more cost-effective -
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1 Compact Array vs Large Single Dish Telescope - which is more cost-effective - Satoru Iguchi National Astronomical Observatory of Japan SOKENDAI [The Graduate University for Advanced Studies] 2015/7/29 NRO-ALMA Science Develop Workshop 1
2 State-of-Art Radio Telescope ALMA Atacama Large Millimeter/submillimeter Array m antennas 4 12-m antennas 12 7-m antennas In total 66 antennas. Aperture area 6600 m 2 91-m diameter Last 66th antenna arrived at AOS on Jun 13, /7/29 NRO-ALMA Science Develop Workshop 2
3 Compact Array - ACA Atacama Compact Array (ACA) ALMA Four 12-m diameter antennas Twelve 7-m diameter antennas Aperture Area: 452 m 2 Aperture Area: 462 m /7/29 NRO-ALMA Science Develop Workshop 3
4 Large Single Dish Telescope Cerro Chajnantor Atacama Telescope (CCAT) Submillimeter Astronomy 25-m diameter antenna Aperture Area: 491 m /7/29 NRO-ALMA Science Develop Workshop 4
5 7-m Array vs CCAT 7-m Array CCAT Diameter 7-m Dish x m Dish Aperture 462 m m 2 Surface Accuracy 20 µm rms (worst) 10 µm rms (EL>30 deg) 4 µm rms (best) 10 µm rms (spec) Offset Pointing Accuracy 0.6 rms 0.35" x (λ/350 µm) rms Angular Resolution 1.7"x (λ/350 µm) 3.5"x (λ/350 µm) Field of View for one-beam 12"x (λ/350 µm) 3.5"x (λ/350 µm) at multi-beam 24"x (λ/350 µm) at 50 pixels 24 = 3.5 * sqrt(50) Quit comparable at camera specifications Of between course, 7-m not applicable! Array and CCAT at heterodyne x 128 pixels receivers at 350 µm! x 54 pixels at 850 µm See CCAT science requirements 2015/7/29 NRO-ALMA Science Develop Workshop 5
6 How do we compare them? Field of View θ FoV ~ 1.2 λ D where λ = observing wavelength [m] D = antenna diameter [m] N bbbb = number of beams in receiver N bbbb rrr Diameter of antenna for Compact Array θ FoV ~ 1.2 λ D N aaa N bbbb N aaa where N aaa = number of antenna for Compact Array rrr 2015/7/29 NRO-ALMA Science Develop Workshop 6
7 How do we compare them? Aperture Area π D 2 2 = N aaa π D/ N aaa 2 where D = antenna diameter [m] N aaa = number of antenna for Compact Array Assumption Sixteen 7-m antennas (sixteen is maximum number of antennas stations in ACA) Estimating the Aperture area of 616 m 2 Then deriving Equivalent diameter of 28 m. These parameters will be used to compare between Compact Array (CA) and Large Single Dish Telescope (SD) /7/29 NRO-ALMA Science Develop Workshop 7
8 Configuration - Assumption Compact Array Diameter (D) 7-m Dish 28-m Dish Number of antenna (N ant ) 16=(D SD /D CA ) 2 1 Aperture 616 m m 2 Surface Accuracy 10 µm rms (EL>30 deg) 10 µm rms Large Single Dish Offset Pointing Accuracy 0.35" (improved as needed) 0.35" x (λ/350 µm) rms Angular Resolution 1.7"x (λ/350 µm) 3.1"x (λ/350 µm) Field of View for one-beam 12.4"x (λ/350 µm) 3.1"x (λ/350 µm) Num. of multi-beam 4 pixels 64 pixels at multi-beam 24.8"x (λ/350 µm) 24.8 = 12.4 * sqrt(4) 24.8"x (λ/350 µm) at 64 pixels 24.8 = 3.1 * sqrt(64) Note: Angular resolution - Compact array is better than Single Dish. That difference is 1.8 times. 2015/7/29 NRO-ALMA Science Develop Workshop 8
9 Instruments - Requirements Compact Array Large Single Dish Number of Bands (N band ) N band N band Number of antenna (N ant ) 16 1 Number of Beams (N beam ) 4 64 Number of IFs (N IF ) 64 = N ant *N beam 64 = N ant *N beam Auto-correlations (dual pol.) 192 = (2pol+1Xpol)*N ant *N beam 192 = 3*N ant *N beam Cross-correlations (dual pol.) 1920= 4*N ant *(N ant -1)/2*N beam Not applicable. Cryo- and Warm- IF Analog and IF Digital processors: required number is the same. Cryogenics system and First cryo-mixer units including the device: number may depend on the N ant. In that case, SD has an advantage in number but may have a challenging in technology to meet the multi-beams. Correlator: CA must have much more materials as compared with SD. 2015/7/29 NRO-ALMA Science Develop Workshop 9
10 Summary Based on Number Compact Array Antennas 16= N ant 1 Cryogenics system and First cryo-mixer units including the device Cryo- & Warm- IF Analog and IF Digital processors Correlator and or Spectrometer 16= N ant 1 Large Single Dish 64 = N ant *N beam 64 = N ant *N beam 2112 = =3*N ant *N beam + 4*N ant *(N ant -1)/2*N beam 192 = 3*N ant *N beam We will extend these numbers to estimate the cost of telescope from next slides. 2015/7/29 NRO-ALMA Science Develop Workshop 10
11 Costs CA and SD Antennas Cryogenics system and First cryo-mixer units including the device Cryo- & Warm- IF Analog and IF Digital processors Correlator and or Spectrometer Compact Array (CA) 16*P CAant = N ant * P CAant =(D SD /D CA ) 2 *P CAant Large Single Dish (LSD) P SDant 16*P CAant vs P SDant Depending on the diameter of antennas! 16= N ant 1 May be balanced, including initial studies. 64 = N ant *N beam 64 = N ant *N beam Well balanced = =3*N ant *N beam + 4*N ant *(N ant -1)/2*N beam 192 = 3*N ant *N beam Correlator cost increases by N 2 ant =(D SD /D CA ) 4 CA needs10 times more than SD, but this cost is too much lower than that of antenna! 2015/7/29 NRO-ALMA Science Develop Workshop 11
12 Antenna - Cost How do we estimate the cost of antennas? Design cost Material costs (may be proportional to Weight) Pre-assembly cost, including the rental cost of area for the temporary assembly before shipping. Transportation cost Assembly, Integration and Verification (AIV) cost Documentation cost 2015/7/29 NRO-ALMA Science Develop Workshop 12
13 Antenna Total Cost CA (7-m D) LSD (28-m D) N ant =(D SD /D CA ) 2 Design cost P dgn F dgn *P dgn F dgn depends on the difficulty level. Material costs P mtrl *N ant P mtrl *(D SD /D CA ) 3 Weight is proportional (maybe, weight) =16*P mtrl = 64*P mtrl to (D SD /D CA ) 3~4. Component costs 16*P cmp F cmp *P cmp Depend on the number. F cmp depends on the difficulty level. Pre-assembly cost P pre-ass P pre-ass *(D SD /D CA ) 2 Depend on the size. = 16*P pre-ass Enough for one antenna. Transportation cost 16*P trans ~64*P trans Depend on the weight and size. AIV cost P AIV *N ant =16*P AIV P AIV *(D SD /D CA ) 2 = Depend on the size and 16*P AIV number of antenna. Documentation cost P doc P doc Same ratio. Construction cost 1 2~4 (=D SD /D CA ) At 7-m CA vs 28-m SD
14 Conclusion Which is more cost-effective? At this moment, Compact Array is more cost-effective, in case that D SD /D CA is not large. Issues In science use cases with heterodyne receivers, the large single-dish telescope has no big advantage as anticipated. However, camera science capabilities in the large single-dish telescope will be very unique in the ALMA era. How do we realize the large single-dish telescopes with low cost and good ideas or new technology? I hope that we will have good discussion tomorrow. 2015/7/29 NRO-ALMA Science Develop Workshop 14
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