Figure 1

(Color online) Experimental setup and the double slit experiment in free domain. (a) Schematic diagram of experimental setup. (b) Configuration of the experiment in free domain. (c) Wave intensity on the screen from one-slit experiments with the other slit blocked. $(I_1+I_2)∕2$ is also shown. The error bar is comparable with the size of the symbols. (d) The wave intensity on the screen from the two open slits. The distance between two slits is $D=3.0\mathrm{cm}$, the width of the slit $d=0.30\mathrm{cm}$, and the distance of the observation screen from the slit wall is $L=8.0\mathrm{cm}$. The vibration frequency of the source is $f=19.60\mathrm{Hz}$ and the wavelength $\lambda =1.23\mathrm{cm}$. The distance of the source from slit wall is $15.0\mathrm{cm}$. The distance $x$ in the horizontal axis in (c) and (d) is measured from the middle point of the two slits.Reuse & Permissions

Figure 2

(Color online) Double slit experiment in an integrable billiard: the half annulus billiard. (a) Configuration of the experimental setup. The outer semicircular wall has radius $R=20.0\mathrm{cm}$, the inter semidisk has radius $r=13.0\mathrm{cm}$, the distance of the two slits is $D=3.0\mathrm{cm}$, and the width of each slit is $d=0.3\mathrm{cm}$. The distance from the slit wall to the observation screen is $L=8.0\mathrm{cm}$. (b) The wave intensity on screen for $f=19.02\mathrm{Hz}$ and wavelength is $\lambda =1.26\mathrm{cm}$. (c) Same as (b) but for frequency $f=23.76\mathrm{Hz}$ and wavelength $\lambda =1.05\mathrm{cm}$. In both cases, the data shown are averaged over seven and eight measurements when the source positions are moved slightly.Reuse & Permissions

Figure 3

(Color online) Double slit experiment in chaotic billiards. (a) Configuration of the Sinai billiard. Side lengths are $28.5\mathrm{cm}$ (horizontal) and $10.3\mathrm{cm}$ (vertical) for long side and short side, respectively. The radius of the semidisk is $r=8.0\mathrm{cm}$. The slit width $d=0.34\mathrm{cm}$, distance between slit is $3.3\mathrm{cm}$. (b) Wave intensity on the observation screen for a double slit experiment when the vibrating source is in the Sinai billiard. (c) Configuration of the Mickey Mouse billiard. Side length of the triangle is 29.0 and $27.5\mathrm{cm}$, respectively. The radius of the large disk is $R=6.2\mathrm{cm}$ and the smaller ones $r=3.35\mathrm{cm}$. The slit width $d=0.34\mathrm{cm}$ and slit distance is $D=3.0\mathrm{cm}$. (d) Same as (b) but for the case of the Mickey Mouse billiard. In both cases $f=19.6\mathrm{Hz}$ and wavelength $\lambda =1.23\mathrm{cm}$.Reuse & Permissions

Figure 4

(Color online) Wave intensity on the observation screen for a double slit experiment when the vibrating source is in a Mickey Mouse billiard with slit width $d=0.34\mathrm{cm}$ and slit distance $D=3.0\mathrm{cm}$. The frequency satisfies the condition $J_0\left(kD\right)=0$. The frequency for the experiment is (a) $f=19.02\mathrm{Hz}$ and (b) $f=23.76\mathrm{Hz}$. The solid curve is the sum of two intensities from Eq. (5). The experimental data are observed on the screen when both slits are open.Reuse & Permissions