A review of commonly used analytical and empirical formulae for predicting sound diffracted by a thin screen

MacDonald, 1915, A class of diffraction problems, Proc Lond Math Soc, 14, 410, 10.1112/plms/s2_14.1.410 Pierce, 1974, Diffraction of sound around corners and over wide barriers, J Acoust Soc Am, 55, 941, 10.1121/1.1914668 Hadden, 1981, Sound diffraction around screens and wedges for arbitrary point-source locations, J Acoust Soc Am, 69, 1266, 10.1121/1.385809 Hadden, 1982, J Acoust Soc Am, 71, 1290, 10.1121/1.387893 Sommerfeld, 1896, Mathematische theorie der diffraktion, Math Ann, 47, 10.1007/BF01447273 Born, 1975 Carslaw, 1899, Some multiform solutions of the partial differential equations of physical mathematics and their applications, Proc London Math Soc, 30, 121 Carslaw, 1920, Diffraction of waves by a wedge of any angle, Proc Lond Math Soc, 18, 1291 Copson, 1946, On an integral equation arising in the theory of diffraction, Quart J Math, 17, 19, 10.1093/qmath/os-17.1.19 Levine, 1948, On the theory of diffraction by an aperture in an infinite plane screen I, Phys Rev, 74, 958, 10.1103/PhysRev.74.958 Levine, 1949, On the theory of diffraction by an aperture in an infinite plane screen. II, Phys Rev, 75, 1423, 10.1103/PhysRev.75.1423 Crighton, 1996 Tolstoy, 1989, Diffraction by a hard truncated wedge and a strip, IEEE J Ocean Eng, 14, 4, 10.1109/48.16815 Tolstoy, 1989, Exact, explicit solutions for diffraction by hard sound barriers and seamounts, J Acoust Soc Am, 85, 661, 10.1121/1.397592 Biot, 1957, Formulation of wave propagation in infinite media by normal coordinates with an application to diffraction, J Acoust Soc Am, 58, 521 Tolstoy, 1973 Medwin, 1981, Shadowing by finite noise barriers, J Acoust Soc Am, 69, 1060, 10.1121/1.385684 Menounou, 2000, Directive line source model: a new model for sound diffracted by half planes and wedges, J Acoust Soc Am, 107, 2973, 10.1121/1.429327 Ouis, 2002, Diffraction by a hard half-plane: useful approximations to an exact formulation, J Sound Vibr, 252, 191, 10.1006/jsvi.2000.3553 Bowman, 1969 Abramowitz, 1970 Hecht, 1998 Rubinowicz, 1971 Embleton, 1980, Line integral theory of barrier attenuation in the presence of the ground, J Acoust Soc Am, 67, 42, 10.1121/1.383787 Jebsen, 1982, On the failure of the Kirchhoff assumption in backscatter, J Acoust Soc Am, 72, 1607, 10.1121/1.388496 Redfearn, 1940, Some acoustical source-observer problems, Philos Mag, 30, 223, 10.1080/14786444008520712 Maekawa, 1968, Noise reducion by screens, Appl Acoust, 1, 157, 10.1016/0003-682X(68)90020-0 Rathe, 1969, Note on two common problems of sound propagation, J Sound Vibr, 10, 472, 10.1016/0022-460X(69)90225-9 Kurze, 1971, Sound attenuation by barriers, Appl Acoust, 4, 35, 10.1016/0003-682X(71)90024-7 Kurze, 1974, Noise reduction by barriers, J Acoust Soc Am, 55, 504, 10.1121/1.1914528 Keller, 1962, The geometrical theory of diffraction, J Opt Soc, 52, 116, 10.1364/JOSA.52.000116 Tatge, 1973, Barrier-wall attenuation with a finite sized source, J Acoust Soc Am, 53, 1317, 10.1121/1.1913472 Yamamoto, 1992, Expressions of Maekawa’s chart for computation, Appl Acoust, 37, 75, 10.1016/0003-682X(92)90012-H Menounou, 2001, A correction to Maekawa’s curve for the insertion loss behind barriers, J Acoust Soc Am, 110, 1828, 10.1121/1.1398050 Isei, 1980, Noise reduction by barriers on finite impedance ground, J Acoust Soc Am, 67, 46, 10.1121/1.383788 Nicolas, 1983, Precise model measurements versus theoretical prediction of barrier insertion loss in presence of the ground, J Acoust Soc Am, 73, 44, 10.1121/1.388722 Embleton, 1996, Tutorial on sound propagation outdoors, J Acoust Soc Am, 100, 31, 10.1121/1.415879 Attenborough, 1988, Review of ground effects on outdooe sound propagation from continuous broadband sources, Appl Acoust, 24, 289, 10.1016/0003-682X(88)90086-2 Lam, 1993, A simple method for accurate prediction of finite barrier insertion loss, J Acoust Soc Am, 93, 1445, 10.1121/1.406863 Li, 1998, Sound propagation from a point source over extended-reaction ground, J Acoust Soc Am, 104, 679, 10.1121/1.423307 L’Espérance, 1989, The insertion loss of finite length barriers on the ground, J Acoust Soc Am, 86, 179, 10.1121/1.398337 Pirinchieva, 1990, Model study of the sound propagation behind barriers of finite length, J Acoust Soc Am, 87, 2109, 10.1121/1.399177 Medwin, 1981, Shadowing by finite noise barriers, J Acoust Soc Am, 69, 1060, 10.1121/1.385684 Muradali, 1998, A study of 2D and 3D barrier insertion loss using improved diffraction-based methods, Appl Acoust, 53, 49, 10.1016/S0003-682X(97)00040-6 Rawlins, 1976, Diffraction of sound by a rigid screen with an absorbent edge, J Sound Vibr, 47, 523, 10.1016/0022-460X(76)90880-4 Isei, 1980, Absorptive noise barrier on finite impedance ground, J Acoust Soc Jpn E, 1, 3, 10.1250/ast.1.3 Fujiwara, 1977, Noise control by barriers, Appl Acoust, 10, 147, 10.1016/0003-682X(77)90022-6 Fujiwara, 1977, Noise control by barriers – Part 2: noise reduction by an absorptive barrier, Appl Acoust, 10, 167, 10.1016/0003-682X(77)90028-7 L’Espérance, 1989, Insertion loss of absorbent barriers on ground, J Acoust Soc Am, 86, 1060, 10.1121/1.398097 Hayek, 1990, Mathematical modeling of absorbent highway noise barriers, Appl Acoust, 31, 77, 10.1016/0003-682X(90)90054-X