Table 2.

Analytical and numerical calculations of the reflection R and transmission T coefficients for the nine different cases. In the analytical case, the coefficients are calculated based on the acoustic impedance of the two media. The numerical calculations are based on the ratios between the pressure amplitudes of the reflected and transmitted waves to the amplitude of the incident wave

Setup						Analytical				Numerical
Medium A			Medium B			Angles		Coefficients		p [MPa]			Coefficients
c [m s −1]	ρ [kg m −3]	Z	c [m s −1]	ρ [kg m −3]	Z	θ i	θ t	T	R	p i	p t	p r	T	R
1500	1000	1.5	2000	1900	3.8	0	0.00	1.43	0.43	1.00	1.43	0.43	1.43	0.43
1500	1000	1.5	1400	600	0.84	0	0.00	0.72	−0.28	1.00	0.72	−0.28	0.72	−0.28
1500	1000	1.5	1200	600	0.72	0	0.00	0.65	−0.35	1.00	0.65	−0.35	0.65	−0.35
1500	1000	1.5	2000	1900	3.8	15	20.19	1.45	0.45	1.00	1.44	0.44	1.44	0.44
1500	1000	1.5	1400	600	0.84	15	13.98	0.72	−0.28	1.00	0.72	−0.28	0.72	−0.28
1500	1000	1.5	1200	600	0.72	15	11.95	0.64	−0.36	1.00	0.65	−0.35	0.65	−0.35
1500	1000	1.5	2000	1900	3.8	30	41.81	1.49	0.49	1.00	1.50	0.49	1.50	0.49
1500	1000	1.5	1400	600	0.84	30	27.82	0.71	−0.29	1.00	0.71	−0.28	0.71	−0.28
1500	1000	1.5	1200	600	0.72	30	23.58	0.62	−0.38	1.00	0.63	−0.37	0.63	−0.37