Abstract
In the paper, caustics are discussed as ordered forms of focus broadening occurring in concave mirrors. Presented are examples of caustics formed in natural conditions and application of the phenomenon in different fields of science and technology. Against this factual background, the possibility to observe caustics in rooms is pointed out. Special emphasis is put on large rooms of historic character, as such interiors frequently include acoustic mirrors in the form of arched vaults and concave walls. As a case study, the eighteenth-century Whispering Grottoes representing one of attractions of the Oliwa Park in Gdańsk was selected, where the phenomenon of forming a caustic was used intentionally to obtain the desired acoustic effect.
Citations
-
4
CrossRef
-
0
Web of Science
-
4
Scopus
Author (1)
Cite as
Full text
- Publication version
- Accepted or Published Version
- License
- open in new tab
Keywords
Details
- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
-
APPLIED ACOUSTICS
no. 133,
pages 82 - 90,
ISSN: 0003-682X - Language:
- English
- Publication year:
- 2018
- Bibliographic description:
- Kulowski A.: The Caustic in the Acoustics of Historic Interiors// APPLIED ACOUSTICS. -Vol. 133, (2018), s.82-90
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.apacoust.2017.12.008
- Bibliography: test
-
- Strutt JW, Rayleigh Baron. Whispering galleries. In: The theory of sound, vol. II. London -New York: Macmillan and Co., Ltd.; 1896 https://archive.org/details/ theoryofsound02raylrich [30.12.2016] [chapter XIV, § 287]. open in new tab
- Strutt JW, Rayleigh Baron. The problem of the whispering gallery. Philosophical magazine, vol. XX; 1910, p. 1001-4. In: Scientific papers, vol. V. Cambridge: University Press; 1912. p. 1902-10 < https://archive.org/stream/ scientificpapers05rayliala#page/n637/mode/1up > [30.12.2016, Art. 348]. open in new tab
- Raman CV. On whispering galleries. In: Proc. Indian Ass. Cultiv. Sci. 7; 1922. p. 159-72 < http://repository.ias.ac.in/69841/1/69841.pdf > [30.12.2016].
- Sabine WC. Whispering galleries. In: Collected papers on acoustics. Cambridge: Harvard University Press; 1922 [chapter 11] < https://ia902705.us.archive.org/ 22/items/collectedpaperso00sabi/collectedpaperso00sabi.pdf > .
- Schmidt RF. Analytical caustic surfaces. NASA Technical Memorandum 87805. NASA Technical Reports Server; April 1987. < https://ntrs.nasa.gov/archive/nasa/ casi.ntrs.nasa.gov/19880001678.pdf > [20.07.2016].
- Kulowski A. Mirror reflection. In: Akustyka sal. Zalecenia projektowe dla architektów (Acoustics of Halls. Design recommendations for architects, in Polish). Gdańsk: Wydawnictwo Politechniki Gdańskiej; 2011 [chapter 1.4.1].
- Puzyna Cz. Acoustic screens. In: Zwalczanie hałasu w przemyśle -zagadnienia wybrane (Noise Control in Industry -Slected Issues, in Polish). Warszawa: WNT;
- Egan MD. Reflection, diffusion and diffrection. In: Concepts in architectural acoustics. New York: McGraw-Hill Book Company; 1988. p. 89-90.
- Sadowski J. Surfaces directing the first reflection. Sound diffusing elements. In: Akustyka w urbanistyce, architekturze i budownictwie (Acoustics in urban plan- ning, architecture and construction, in Polish). Warszawa: Arkady; 1971 [chapter 18.2.3].
- Kuttruff H. Some remarks on the simulation of sound reflection from curved walls. Acustica 1993;77:176-82.
- EF LENS WORK III. Canon Inc. Lens Products Group; 2006. < http://software. canon-urope.com/files/documents/EF_Lens_Work_Book_10_PL.pdf > [20.07.2016]. open in new tab
- Percell BC. The effect of caustics in acoustics. inverse scattering experiments. PhD dissertation. Houston, Texas: Rice University; 1989. < http://www.caam.rice.edu/ caam/trs/89/TR89-03.pdf > [20.07.2016].
- Beron-Vera FJ, et al. Ray dynamics in a long-range acoustic propagation experi- ment. J Acoust Soc Am 2003;114:1226-42. open in new tab
- McDonald BE, Kuperman WA. Time domain formulation for pulse propagation in- cluding nonlinear behavior at a caustic. J Acoust Soc Am 1987;81:1406-17. open in new tab
- Baraniecki T, et al. System laserowego mikronapawania proszków metali (System for laser microcladding of metal powders, in Polish). Przegląd Spawalnictwa 9/ 2011. < http://www.pspaw.pl/index.php/pspaw/article/viewFile/505/ 510 > [20.07.2016]. open in new tab
- Patela S. Zasada działania, właściwości i parametry światłowodów (Principle of operation, properties and parameters of optical fibers, in Polish); 2013. < http:// www-old.wemif.pwr.wroc.pl/spatela/pdfy/0020.pdf > [20.07.2016].
- Skowron J. Analiza niestandardowych zjawisk mikrosoczewkowania grawita- cyjnego gwiazd Galaktyki. Rozprawa doktorska (Analysis of non-standard phe- nomena of gravitational microlensing of galactic stars. PhD dissertation, in Polish).
- Uniwersytet Warszawski; 2009. < http://www.astrouw.edu.pl/~jskowron/PhD/ thesis/phd.pdf > [20.07.2016].
- Jankowski LJ. Wyznaczanie współczynnika intensywności naprężeń metodami op- tycznymi -materiały pomocnicze (Determination of the stress intensity factor by optical methods, in Polish); 2011. < http://www.biomech.pwr.wroc.pl/wp- content/uploads/2016/09/pdcw14.pdf > [20.07.2016]. open in new tab
- WIKIPEDIA; 2015. < https://en.wikipedia.org/wiki/Caustic_%28optics%29 > [20. 07.2016].
- Kuttruff H. Enclosures with curved walls. In: Room acoustics. London -New York: Spon Press; 2000 [chapter 4.4]. < https://danylastchild07.files.wordpress.com/ 2016/05/room-acoustics-kuttruff.pdf > [12.04.2017]. open in new tab
- Castagnede B, et al. Cuspidal caustic and focusing of acoustical waves generated by a parametric array onto a concave reflecting surface. C. R. Mecanique, 337; 2009 < http://perso.univ-lemans.fr/~vtournat/wa_files/CRCastagnede2009. pdf > [20.07.2016].. open in new tab
- Steward K, Cabrera D. Effect of acoustic environment on the sensitivity of speech transmission index to source directivity. Acoustics 2008, Geelong, Victoria, Australia, Nov. 2008. p. 26-8. < https://www.acoustics.asn.au/conference_ proceedings/AAS2008/papers/p43.pdf > [07.05.2017]. open in new tab
- Rettinger M. Acoustic design and noise control vol. 1. New York: Chemical Publishing Co.; 1977.
- Mormon Tabernacle; 2012. < http://www.engineergirl.org/what_engineers_do/ FunFacts/MormonTabernacle.aspx > [20.07.2016]. open in new tab
- HYPERPHYSICS. Georgia State University. HyperPhysics, Sound and Hearing; 2016. < http://vnsound.tripod.com/snarchi/snarchi_3.html > [20.07.2016]. open in new tab
- Esplin SC. Introduction to The Tabernacle: "An Old and Wonderful Friend". Provo, UT: Religious Studies Center, Brigham Young University; 2007. p. 11-63. < https://rsc.byu.edu/archived/tabernacle-old-and-wonderful-friend/ introduction > [20.07.2016]. open in new tab
- BLOG; 2015. < https://tereska12045.flog.pl/archiwum/albumy/232073/ trojmiasto/ > [20.07.2016].
- WIKIPEDIA; 2016. < https://pl.wikipedia.org/wiki/Park_Oliwski > [20.07.2016]. open in new tab
- BLOG; 2012. < http://rositadearboleas.blogspot.com/2012/06/la-sala-de-los- secretos.html > [20.07.2016]. open in new tab
- Metropolitan Transportation Authority; 2012. < http://www.mta.info/news/ 2012/10/30/whispering-gallery-renovations-complete > [20.07.2016]. open in new tab
- Post-print of: Kulowski A.: The Caustic in the Acoustics of Historic Interiors. APPLIED ACOUSTICS. Vol. 133, (2018), s. 82-90. DOI: 10.1016/j.apacoust.2017.12.008 open in new tab
- Verified by:
- Gdańsk University of Technology
seen 157 times