Page 109 - 《应用声学》2024年第1期

第 43 卷 第 1 期 贺佐潦霜等： 矩形单元声场波函数构造及其应用 105

2.0 5 20
4
1.5 15
Error/% 1.0 Error/% 3 2 Error/% 10

0.5 5
1
0 0 0
1 2 3 4 5 6 7 1 2 3 4 5 6 7 1 2 3 4 5 6 7
n n n
(a) kL=p/4 (b) kL=p/2 (c) kL=p

图 3 矩形域内推波函数不同阶数对应的重建声压误差
Fig. 3 Reconstructed sound pressure errors corresponding to different orders of pushwave function in
rectangular domain

表 1 kL 分别为 π/4、π/2、π 时，3 种波函数与直接积分计算精度对比
Table 1 Comparison of calculation accuracy between three wave functions and direct integration
at kL is π/4、π/2、π
ᄰଌሥѬ ᅾॎ۫ʷᓊॎरฉѦ஝ ᅾॎ۫Я଎ฉѦ஝ ړॎ۫Я଎ฉѦ஝
(
ᅾॎ۫ʷᓊॎरฉѦ஝K ᅾॎ۫Я଎ฉѦ஝ K F ړॎ۫Я଎ฉѦ஝ K F
90° 90° 90°
120° 60° 120° 60° 120° 60°
3T10 ֓ 3T10 ֓ 3T10 ֓
2T10 ֓ 2T10 ֓ 2T10 ֓
150° 30° 150° 30° 150° 30°
kL=p⊳4 1T10 ֓ 1T10 ֓ 1T10 ֓
ܦԍവϙ
180° 0 0° 180° 0 0° 180° 0 0°
210° 330° 210° 330° 210° 330°
300° 300°
240° 240° 300° 240°
270° 270° 270°
Error=0.0024% Error=0.0024% Error=0.1178%
90° 90° 90°
120° 60° 120° 60° 120° 60°
6T10 ֓ 6T10 ֓ 6T10 ֓
150° 4T10 ֓ 30° 150° 4T10 ֓ 30° 150° 4T10 ֓ 30°
2T10 ֓ 2T10 ֓ 2T10 ֓
kL=p⊳2
ܦԍവϙ
180° 0 0° 180° 0 0° 180° 0 0°
210° 330° 210° 330° 210° 330°
240° 300° 240° 300° 240° 300°
270° 270° 270°
Error=0.0035% Error=0.0035% Error=0.3183%
90° 90° 90°
120° 60° 120° 60° 120° 60°
1T10 ֓ 1T10 ֓ 1T10 ֓
150° 30° 150° 30° 150° 30°
0.5T10 ֓ 0.5T10 ֓ 0.5T10 ֓
kL=p 0°
ܦԍവϙ 180° 0 180° 0 0° 180° 0 0°
210° 330° 210° 330° 210° 330°

240° 300° 240° 300° 240° 300°
270° 270° 270°
Error=0.0226% Error=0.0226% Error=1.0550%