## Abstract

Interference of the 11th- and higher-order rainbows formed by a pendant water drop was studied by use of laser beams of wavelengths 632.8 and 532 nm. Time variations of the corresponding glare-point intensity, due to vibration of the droplet, are in agreement with results of a simple model calculation. Our results are compared with the “non-Debye enhancement” of the 11th-order rainbow reported by Lock and Woodruff.

© 2003 Optical Society of America

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### Equations (9)

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(1)
$${\varphi}_{11}-{\varphi}_{24}={\varphi}_{24}-{\varphi}_{37}={\varphi}_{37}-{\varphi}_{50}=\cdots =\varphi ,$$
(2)
$${\varphi}_{11}-{\varphi}_{37}={\varphi}_{24}-{\varphi}_{50}={\varphi}_{37}-{\varphi}_{63}=\cdots =2\varphi ,$$
(3)
$${\varphi}_{11}-{\varphi}_{50}={\varphi}_{24}-{\varphi}_{63}={\varphi}_{37}-{\varphi}_{76}=\cdots =3\varphi ,$$
(5)
$$\varphi \approx 13\times \frac{2\pi}{\mathrm{\lambda}}\times 2asin\left(\frac{3\times 360\xb0}{2\times 13}\right).$$
(6)
$$I=\sum _{r}^{N}{i}_{r}+\sum _{r\ne s}^{N}\sum _{s}^{N}\sqrt{{i}_{r}{i}_{s}}cos({\varphi}_{r}-{\varphi}_{s}),$$
(7)
$$r,s=11,24,37,\dots ,$$
(8)
$$I=\sum _{r=0}^{N-1}{I}_{r}cosr\varphi ,$$
(9)
$$\varphi =Asin2\pi \mathit{ft},$$