## Modeling the temperature dependence of the index of refraction of liquid water in the visible and the near-ultraviolet ranges by a genetic algorithm

Applied Optics, Vol. 38, Issue 1, pp. 11-17 (1999)

http://dx.doi.org/10.1364/AO.38.000011

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### Abstract

A simple formula describing the dependence of the index of refraction of water on wavelength in the visible and the near-UV ranges and at temperature from 0 °C to 100 °C is given. Parameters of the formula were determined by minimization of discrepancies between calculated and experimental data by use of an elite genetic algorithm with adaptive mutations. This algorithm was devised with a particular application in mind, the determination of model parameters. Its superiority over the simple genetic algorithm in locating the global minimum was demonstrated on a family of multiminima test functions for as many as 100 variables.

© 1999 Optical Society of America

**OCIS Codes**

(010.0010) Atmospheric and oceanic optics : Atmospheric and oceanic optics

(010.7340) Atmospheric and oceanic optics : Water

(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology

(120.4530) Instrumentation, measurement, and metrology : Optical constants

(160.0160) Materials : Materials

(160.4760) Materials : Optical properties

**History**

Original Manuscript: June 1, 1998

Revised Manuscript: August 26, 1998

Published: January 1, 1999

**Citation**

Aleksandra B. Djurišić and Božidar V. Stanić, "Modeling the temperature dependence of the index of refraction of liquid water in the visible and the near-ultraviolet ranges by a genetic algorithm," Appl. Opt. **38**, 11-17 (1999)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-38-1-11

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