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Interstellar communication. I. Maximized data rate for lightweight space-probes

  • Michael Hippke (a1)

Recent technological advances could make interstellar travel possible, using ultra-lightweight sails pushed by lasers or solar photon pressure, at speeds of a few per cent the speed of light. Obtaining remote observational data from such probes is not trivial because of their minimal instrumentation (gram scale) and large distances (pc). We derive the optimal communication scheme to maximize the data rate between a remote probe and home-base. The framework requires coronagraphic suppression of the stellar background at the level of 10−9 within a few tenths of an arcsecond of the bright star. Our work includes models for the loss of photons from diffraction, technological limitations, interstellar extinction and atmospheric transmission. Major noise sources are atmospheric, zodiacal, stellar and instrumental. We examine the maximum capacity using the ‘Holevo bound’ which gives an upper limit to the amount of information (bits) that can be encoded through a quantum state (photons), which is a few bits per photon for optimistic signal and noise levels. This allows for data rates of the order of bits per second per Watt from a transmitter of size 1 m at a distance of α Centauri (1.3 pc) to an earth-based large receiving telescope (E-ELT, 39 m). The optimal wavelength for this distance is 300 nm (space-based receiver) to 400 nm (earth-based) and increases with distance, due to extinction, to a maximum of ≈ 3 μm to the centre of the Galaxy at 8 kpc.

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Author for correspondence: Michael Hippke E-mail:
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Agostini, P and Di Mauro, LF (2004) The physics of attosecond light pulses. Reports on Progress in Physics 67, 813855.
Aller, LH (1959) Some aspects of ultraviolet satellite spectroscopy. Publications of the ASP 71, 324.
Aristov, VV and Shabel'nikov, LG (2008) REVIEWS OF TOPICAL PROBLEMS: recent advances in X-ray refractive optics. Physics Uspekhi 51, 5777.
Bekenstein, JD (1981) Universal upper bound on the entropy-to-energy ratio for bounded systems. Physical Review D 23, 287298.
Bernstein, RA, Freedman, WL and Madore, BF (2002) The first detections of the extragalactic background light at 3000, 5500, and 8000 Å. I. Results. ApJ 571, 5684.
Boggess, NW, Mather, JC, Weiss, R, Bennett, CL, Cheng, ES, Dwek, E, Gulkis, S, Hauser, MG, Janssen, MA, Kelsall, T, Meyer, SS, Moseley, SH, Murdock, TL, Shafer, RA, Silverberg, RF, Smoot, GF, Wilkinson, DT and Wright, EL (1992) The COBE mission - Its design and performance two years after launch. ApJ 397, 420429.
Bond, A and Martin, AR (1978) Project daedalus. Journal of the British Interplanetary Society 31, S5S7.
Bradley, J, Dai, ZR, Erni, R, Browning, N, Graham, G, Weber, P, Smith, J, Hutcheon, I, Ishii, H, Bajt, S, Floss, C, Stadermann, F and Sandford, S (2005) An astronomical 2175 Å feature in interplanetary dust particles. Science 307, 244247.
Burrows, DN, Hill, JE, Nousek, JA, Kennea, JA, Wells, A, Osborne, JP, Abbey, AF, Beardmore, A, Mukerjee, K, Short, ADT, Chincarini, G, Campana, S, Citterio, O, Moretti, A, Pagani, C, Tagliaferri, G, Giommi, P, Capalbi, M, Tamburelli, F, Angelini, L, Cusumano, G, Bräuninger, HW, Burkert, W and Hartner, GD (2005) The Swift X-ray Telescope. Space Science Reviews 120, 165195.
Canfield, DE, Poulton, SW and Narbonne, GM (2007) Late-neoproterozoic deep-ocean oxygenation and the rise of animal life. Science 315, 92.
Chitode, JS (2009) Communication Theory, Technical Publication. 2nd edn. Technical Publications.
Cooray, A (2016) Extragalactic background light measurements and applications. Royal Society Open Science 3, 150555.
Coulman, CE, Vernin, J and Fuchs, A (1995) Optical seeing-mechanism of formation of thin turbulent laminae in the atmosphere. ApOpt 34, 5461.
Danjon, A and Couder, A (1935) Lunettes et telescopes - Theorie, conditions d'emploi, description, reglage. Paris: Librairie Scientifique et Technique.
Dias, WS, Alessi, BS, Moitinho, A and Lépine, JRD (2002) New catalogue of optically visible open clusters and candidates. A&A 389, 871873.
Dolgoshein, B, Balagura, V, Buzhan, P, Danilov, M, Filatov, L, Garutti, E, Groll, M, Ilyin, A, Kantserov, V, Kaplin, V, Karakash, A, Kayumov, F, Klemin, S, Korbel, V, Meyer, H, Mizuk, R, Morgunov, V, Novikov, E, Pakhlov, P, Popova, E, Rusinov, V, Sefkow, F, Tarkovsky, E, Tikhomirov, I and Calice/SiPM Collaboration (2006) Status report on silicon photomultiplier development and its applications. Nuclear Instruments and Methods in Physics Research A 563, 368376.
Draine, BT (2003 a) Interstellar dust grains. ARA&A 41, 241289.
Draine, BT (2003 b) Scattering by interstellar dust grains. I. Optical and ultraviolet. ApJ 598, 10171025.
Draine, BT (2003 c) Scattering by interstellar dust grains. II. X-rays. ApJ 598, 10261037.
Duarte, F (2015) Tunable Laser Optics. 2nd edn. CRC Press.
Duarte, FJ (1999) Multiple-prism grating solid-state dye laser oscillator: optimized architecture. ApOpt 38, 63476349.
Dyson, FJ (1965) Death of a project. Science 149, 141144.
Dyson, FJ (1968) Interstellar transport. Physics Today 21, 41.
Einstein, A (1905) Über einen die Erzeugung und Verwandlung des Lichtes betreffenden heuristischen Gesichtspunkt. Annalen der Physik 322, 132148.
Forbes, JD (1842) The Bakerian Lecture: on the transparency of the atmosphere and the law of extinction of the solar rays in passing through it. Philosophical Transactions of the Royal Society of London Series I 132, 225273.
Fosalba, P, Lazarian, A, Prunet, S and Tauber, JA (2002) Dust polarization from starlight data. In Cecchini, S, Cortiglioni, S, Sault, R and Sbarra, C (eds), Astrophysical Polarized Backgrounds, Vol. 609 of American Institute of Physics Conference Series. Melville, NY: American Institute of Physics, pp. 4450.
Fritz, TK, Gillessen, S, Dodds-Eden, K, Lutz, D, Genzel, R, Raab, W, Ott, T, Pfuhl, O, Eisenhauer, F and Yusef-Zadeh, F (2011) Line derived infrared extinction toward the galactic center. ApJ 737, 73.
Giovannetti, V, García-Patrón, R, Cerf, NJ and Holevo, AS (2014) Ultimate classical communication rates of quantum optical channels. Nature Photonics 8, 796800.
Giovannetti, V, Guha, S, Lloyd, S, Maccone, L and Shapiro, JH (2004) Minimum output entropy of bosonic channels: a conjecture. PhRvA 70(3), 032315.
Giovannetti, V, Guha, S, Lloyd, S, Maccone, L, Shapiro, JH and Yuen, HP (2004) Classical capacity of the lossy bosonic channel: the exact solution. Physical Review Letters 92(2), 027902.
Gorenstein, P (2004) Role of diffractive and refractive optics in x-ray astronomy. In Citterio, O and O’Dell, SL (eds), Optics for EUV, X-Ray, and Gamma-Ray Astronomy, Vol. 5168 of Proc. SPIE, pp. 411419. doi: 10.1117/12.506443.
Guha, S and Wilde, MM (2012) Polar coding to achieve the Holevo capacity of a pure-loss optical channel. ArXiv e-prints.
Guharay, A, Nath, D, Pant, P, Pande, B, Russell, JM and Pandey, K (2009) Middle atmospheric thermal structure obtained from Rayleigh lidar and TIMED/SABER observations: a comparative study. Journal of Geophysical Research (Atmospheres) 114, D18105.
Guyon, O, Pluzhnik, EA, Kuchner, MJ, Collins, B and Ridgway, ST (2006) Theoretical limits on extrasolar terrestrial planet detection with coronagraphs. ApJS 167, 8199.
Heller, R and Hippke, M (2017) Deceleration of high-velocity interstellar photon sails into bound orbits at α Centauri. ApJL 835, L32.
Heller, R, Hippke, M and Kervella, P (2017) Optimized trajectories to the nearest stars using lightweight high-velocity photon sails. ArXiv e-prints.
Holevo, AS (1973) Bounds for the quantity of information transmitted by a quantum communication channel. Problemy Peredachi Informatsii 9(3), 311.
Horwath, JS (1996) OSETI: interstellar laser communications link (iLCL): parameters, mechanisms, concepts. In Kingsley, SA and Lemarchand, GA (eds), The Search for Extraterrestrial Intelligence (SETI) in the Optical Spectrum II, Vol. 2704 of Proc. SPIE, pp. 6179.
Howard, A, Horowitz, P, Coldwell, C, Klein, S, Sung, A, Wolff, J, Caruso, J, Latham, D, Papaliolios, C, Stefanik, R and Zajac, J (2000) Optical SETI at Harvard-Smithsonian. In Lemarchand, G and Meech, K (eds), Bioastronomy 99, Vol. 213 of Astronomical Society of the Pacific Conference Series.
Howard, AW, Horowitz, P, Wilkinson, DT, Coldwell, CM, Groth, EJ, Jarosik, N, Latham, DW, Stefanik, RP, Willman, AJ Jr., Wolff, J and Zajac, JM (2004) Search for nanosecond optical pulses from nearby solar-type stars. ApJ 613, 12701284.
International Telecommunication Union (2012) Increasing the information rates of optical communications via coded modulation: a study of transceiver performance.
Jones, HW (1995) Optimum signal modulation for interstellar communication. In Shostak, GS (ed.), Progress in the Search for Extraterrestrial Life, Vol. 74 of Astronomical Society of the Pacific Conference Series. San Francisco, CA: Astronomical Society of the Pacific, p. 369.
Kaushal, H, Jain, V and Kar, S (2017) Free Space Optical Communication. Optical Networks, Springer India.
Kelsall, T, Weiland, JL, Franz, BA, Reach, WT, Arendt, RG, Dwek, E, Freudenreich, HT, Hauser, MG, Moseley, SH, Odegard, NP, Silverberg, RF and Wright, EL (1998) The COBE diffuse infrared background experiment search for the cosmic infrared background. II. Model of the interplanetary dust cloud. ApJ 508, 4473.
Kepler, J (1604) De cometis liballi tres. Frankfurt, Germany.
Kervella, P, Mignard, F, Mérand, A and Thévenin, F (2016) Close stellar conjunctions of α Centauri A and B until 2050 . An m K = 7.8 star may enter the Einstein ring of α Cen A in 2028. A&A 594, A107.
Kessler, T, Hagemann, C, Grebing, C, Legero, T, Sterr, U, Riehle, F, Martin, MJ, Chen, L and Ye, J (2012) A sub-40-mHz-linewidth laser based on a silicon single-crystal optical cavity. Nature Photonics 6, 687692.
Klein, BJ and Degnan, JJ (1974) Optical antenna gain. 1: Transmitting antennas. ApOpt 13, 2134.
Kuiper, GP (1950) The diameter of Pluto. Publications of the ASP 62, 133.
Leinert, C and Mattila, K (1998) Natural optical sky background. In Isobe, S and Hirayama, T (eds), Preserving The Astronomical Windows, Vol. 139 of Astronomical Society of the Pacific Conference Series, p. 17.
Leinert, C, Richter, I, Pitz, E and Planck, B (1981) The zodiacal light from 1.0 to 0.3 A.U. as observed by the HELIOS space probes. A&A 103, 177188.
Levasseur-Regourd, AC and Dumont, R (1980) Absolute photometry of zodiacal light. A&A 84, 277279.
Liu, C-C, Ren, D-Q, Dou, J-P, Zhu, Y-T, Zhang, X, Zhao, G, Wu, Z and Chen, R (2015) A high-contrast coronagraph for direct imaging of Earth-like exoplanets: design and test. Research in Astronomy and Astrophysics 15, 453.
Lord, SD (1992) A new software tool for computing Earth's atmospheric transmission of near- and far-infrared radiation, Technical report.
Lubin, P (2016) A roadmap to interstellar flight. ArXiv e-prints.
Maher, R, Alvarado, A, Lavery, D and Bayvel, P (2016) Increasing the information rates of optical communications via coded modulation: a study of transceiver performance. Scientific Reports 6, 21278.
Maihara, T, Iwamuro, F, Yamashita, T, Hall, DNB, Cowie, LL, Tokunaga, AT and Pickles, A (1993) Observations of the OH airglow emission. Publications of the ASP 105, 940944.
Maiman, TH (1960) Stimulated optical radiation in ruby. Nature 187, 493494.
Mankevich, SK and Orlov, EP (2016) Interstellar laser communication: implementability criterion and optimisation conditions for the addressed signal search and sending. Quantum Electronics 46, 966.
Marshall, WK (1987) Transmitter pointing loss calculation for free-space optical communications link analyses. ApOpt 26, 20552057.
Marsili, F, Verma, VB, Stern, JA, Harrington, S, Lita, AE, Gerrits, T, Vayshenker, I, Baek, B, Shaw, MD, Mirin, RP and Nam, SW (2013) Detecting single infrared photons with 93% system efficiency. Nature Photonics 7, 210214.
Matsuura, S, Matsumoto, T, Matsuhara, H and Noda, M (1995) Rocket-borne observations of the zodiacal light in the near-infrared wavelengths. Icarus 115, 199208.
Maxwell, JC (1873) A Treatise on Electricity and Magnetism, Vol. 2. London: Macmillan & Co.
Maxwell, JC and Harman, PM (1990) The Scientific Letters and Papers of James Clerk Maxwell: 1846-1862, The Scientific Letters and Papers of James Clerk Maxwell. Cambridge: Cambridge University Press.
McJunkin, M, France, K, Schindhelm, E, Herczeg, G, Schneider, PC and Brown, A (2016) Empirically estimated far-UV extinction curves for classical T Tauri stars. ApJ 828, 69.
Meiser, D, Ye, J, Carlson, DR and Holland, MJ (2009) Prospects for a millihertz-linewidth laser. Physical Review Letters 102(16), 163601.
Messerschmitt, DG (2013) End-to-end interstellar communication system design for power efficiency. ArXiv e-prints.
Messerschmitt, DG (2015) Design for minimum energy in interstellar communication. Acta Astronautica 107, 2039.
Milne, P, Lamontagne, M and Freeland, R (2016) Project Icarus: Communications data link designs between Icarus and Earth and between Icarus Spacecraft. Journal of the British Interplanetary Society 69, 278288.
Nyquist, H (1928) Certain topics in telegraph transmission theory. Transactions of the American Institute of Electrical Engineers 47(2), 617624.
Plastino, AR and Muzzio, JC (1992) On the use and abuse of Newton's second law for variable mass problems. Celestial Mechanics and Dynamical Astronomy 53, 227232.
Popkin, G (2017) What it would take to reach the stars. Nature 542, 2022.
Porquet, D, Grosso, N, Predehl, P, Hasinger, G, Yusef-Zadeh, F, Aschenbach, B, Trap, G, Melia, F, Warwick, RS, Goldwurm, A, Bélanger, G, Tanaka, Y, Genzel, R, Dodds-Eden, K, Sakano, M and Ferrando, P (2008) X-ray hiccups from Sagittarius A* observed by XMM-Newton. The second brightest flare and three moderate flares caught in half a day. A&A 488, 549557.
Poudel, A, McDermott, R and Vavilov, MG (2012) Quantum efficiency of a microwave photon detector based on a current-biased Josephson junction. PhRvB 86(17), 174506.
Rayleigh, L (1879) Xxxi. investigations in optics, with special reference to the spectroscope. Philosophical Magazine Series 5 8(49), 261274.
Redding, JL (1967) Interstellar vehicle propelled by terrestrial laser beam. Nature 213, 588589.
Ryter, CE (1996) Interstellar extinction from infrared to X-rays: an overview. Ap&SS 236, 285291.
Salmaso, B, Basso, S, Brizzolari, C, Civitani, M, Ghigo, M, Pareschi, G, Spiga, D, Tagliaferri, G and Vecchi, G (2014) Production of thin glass mirrors by hot slumping for x-ray telescopes: present process and ongoing development. In Advances in Optical and Mechanical Technologies for Telescopes and Instrumentation, Vol. 9151 of Proc. SPIE, p. 91512W.
Schlafly, EF, Meisner, AM, Stutz, AM, Kainulainen, J, Peek, JEG, Tchernyshyov, K, Rix, H-W, Finkbeiner, DP, Covey, KR, Green, GM, Bell, EF, Burgett, WS, Chambers, KC, Draper, PW, Flewelling, H, Hodapp, KW, Kaiser, N, Magnier, EA, Martin, NF, Metcalfe, N, Wainscoat, RJ and Waters, C (2016) The optical-infrared extinction curve and its variation in the milky way. ApJ 821, 78.
Schottky, W (1918) Über spontane Stromschwankungen in verschiedenen Elektrizitätsleitern. Annalen der Physik 362, 541567.
Shannon, CE (1949) Communication in the presence of noise. Proc. Institute of Radio Engineers 37, 1021.
Sherwood, B, Mumma, MJ and Donaldson, BK (1992) Engineering planetary lasers for interstellar communication. In Mendell, WW, Alred, JW, Bell, LS, Cintala, MJ, Crabb, TM, Durrett, RH, Finney, BR, Franklin, HA, French, JR and Greenberg, JS (eds), Lunar Bases and Space Activities of the 21st Century. Houston: NASA Conference Publication 3166.
Smith, MG, Warner, M, Orellana, D, Munizaga, D, Sanhueza, P, Bogglio, H and Cartier, R (2008) Simple Night-Sky Measurements for “GLOBE at Night” in Chile with Sky-Quality Meters (SQMs) and Illustrated with Digital Photography—A Prototype for the IYA. In Gibbs, MG, Barnes, J, Manning, JG and Partridge, B (eds), Preparing for the 2009 International Year of Astronomy: A Hands-On Symposium, Vol. 400 of Astronomical Society of the Pacific Conference Series. San Francisco: Astronomical Society of the Pacific, p. 152.
Sollerman, J, Lundqvist, P, Lindler, D, Chevalier, RA, Fransson, C, Gull, TR, Pun, CSJ and Sonneborn, G (2000) Observations of the Crab Nebula and its pulsar in the far-ultraviolet and in the optical. ApJ 537, 861874.
Spitler, LG, Lee, KJ, Eatough, RP, Kramer, M, Karuppusamy, R, Bassa, CG, Cognard, I, Desvignes, G, Lyne, AG, Stappers, BW, Bower, GC, Cordes, JM, Champion, DJ and Falcke, H (2014) Pulse broadening measurements from the galactic center pulsar J1745-2900. ApJL 780, L3.
Stecher, TP (1965) Interstellar ectinction in the ultraviolet. ApJ 142, 1683.
Stecher, TP (1969) Interstellar extinction in the ultraviolet. II. ApJL 157, L125.
Stecker, FW, Scully, ST and Malkan, MA (2016) An empirical determination of the intergalactic background light from UV to FIR wavelengths using FIR deep galaxy surveys and the gamma-ray opacity of the Universe. ApJ 827, 6.
Takeoka, M and Guha, S (2014) Capacity of optical communication in loss and noise with general quantum Gaussian receivers. PhRvA 89(4), 042309.
Tanguay, J, Yun, S, Kim, HK and Cunningham, IA (2013) The detective quantum efficiency of photon-counting x-ray detectors using cascaded-systems analyses. Medical Physics 40(4), 041913.
Tanguay, J, Yun, S, Kim, HK and Cunningham, IA (2015) Detective quantum efficiency of photon-counting x-ray detectors. Medical Physics 42, 491509.
Tellis, NK and Marcy, GW (2015) A search for optical laser emission using keck HIRES. Publications of the ASP 127, 540.
Tinsley, JN, Molodtsov, MI, Prevedel, R, Wartmann, D, Espigulé-Pons, J, Lauwers, M and Vaziri, A (2016) Direct detection of a single photon by humans. Nature Communications 7, 12172.
Valencic, LA, Clayton, GC and Gordon, KD (2004) Ultraviolet extinction properties in the milky way. ApJ 616, 912924.
Vergely, J-L, Ferrero, RF, Egret, D and Koeppen, J (1998) The interstellar extinction in the solar neighbourhood. I. Statistical approach. A&A 340, 543555.
Whittet, DCB (ed.) (2003) Dust in the galactic environment. In Dust in the Galactic Environment, 2nd ed., 2003 Series in Astronomy and Astrophysics. Bristol: Institute of Physics (IOP) Publishing.
Wilde, MM, Guha, S, Tan, S-H and Lloyd, S (2012) Explicit capacity-achieving receivers for optical communication and quantum reading. ArXiv e-prints.
Wilms, J, Allen, A and McCray, R (2000) On the absorption of X-rays in the interstellar medium. ApJ 542, 914924.
Wong, CH and Vavilov, MG (2015) Quantum efficiency of a microwave photon detector based on a double quantum dot. ArXiv e-prints.
Yuen, HP and Shapiro, JH (1978) Optical communication with two-photon coherent stages. I - Quantum-state propagation and quantum-noise reduction. IEEE Transactions on Information Theory 24, 657668.
Zhao, K, Zhang, Q, Chini, M, Wu, Y, Wang, X and Chang, Z (2012) Tailoring a 67 attosecond pulse through advantageous phase-mismatch. Optics Letters 37, 3891.
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