Carole C. Montarou

Two-wave-plate compensator method for single-point retardation measurements

The two-wave-plate compensator (TWC) technique is introduced for single-point retardation measurements. The TWC method uses a known wave plate together with a wave plate of unknown retardation and produces a linearly polarized output that allows a null of intensity to be detected. The TWC method is compared both theoretically and experimentally with the existing Brace-Köhler and Sénarmont methods. The resolution of the TWC is shown to be 0.02 nm. TWC enables the measurement of a sample retardation with as little as 0.13% error and thus is more accurate than either the Brace-Kohler or the Sénarmont method.

Analysis and design of modified Wollaston prisms

An exact analysis of the working parameters of a modified Wollaston prism is presented. Parameters include the output splitting angle, the retardation, and the location of the plane of the interference fringes (plane of apparent splitting). Results are presented for the entire range of optical axis inclinations and wedge angles. Approximate expressions from the literature are evaluated. An angle of incidence that causes the plane of the interference fringes to be perpendicular to the axis of the optical system is found for each configuration analyzed. This is then applied to the design of modified Wollaston prisms for Nomarski differential interference contrast microscopy.

Two-wave-plate compensator method for full-field retardation measurements

The two-wave-plate compensator (TWC) method is expanded for full-field retardation measurements by use of a polarization microscope. The sample image is projected onto a CCD camera connected to a computer, allowing the retardation to be measured at all pixels. The retardation accuracy of this implementation of the TWC is evaluated to be 0.06 nm. The method is applied to polarization-maintaining fibers and long-period fiber gratings. The measured retardation is in good agreement with the crossed-polarizer images of the fibers. The method achieves a spatial resolution of 0.45 microm and a retardation resolution of 0.07 nm. The full-field TWC method can thus be a useful tool for characterizing and monitoring the fabrication of optical devices.

Algorithm performance in the determination of the refractive-index profile of optical fibers

Three algorithms for computing the refractive-index profile of azimuthally symmetric optical fibers via the inverse Abel transform are compared to determine their relative accuracies. Appropriate values of algorithm parameters are also determined. The direct differentiation algorithm, the iterative algorithm, and the Fourier algorithm are used to calculate the refractive-index profile from simulated measurements of the phase shift of light transmitted transversely through the fiber. The rms error in the calculated index profile is used to quantify the accuracy of each algorithm. The Fourier algorithm is typically the most accurate of the three.

Colorimetry-based retardation measurement method with white-light interference.

A colorimetry-based retardation measurement (CBRM) method is presented. The specimen, between crossed polarizers, is illuminated with a white-light source. The retardation that is due to the birefringence of the specimen produces a white-light interference color. The x, y chromaticity coordinates of the color produced are measured with a spectrophotometer. The resulting x, y values are compared with a retardation x, y database that we obtained by measuring the retardation with an accurate Senarmont compensator and the x, y chromaticity values along the length of a 0-4-order quartz wedge. The technique was validated by the measurement of a variety of retardation plates. The retardation accuracy (mean error) of the CBRM method is shown to be 3.6 nm. The resolution is +/-0.2 nm, and the measurement range is 5-2150 nm. The method substitutes for a polariscope and eliminates errors associated with quarter-wave plates. The CBRM method does not utilize any moving parts and thus is fast and can be automated.

Analysis and design of compact, static Fourier-transform spectrometers

A new, to our knowledge, analytical method is presented to characterize the performance of modified-Wollaston-prism-based compact, static Fourier-transform spectrometers. With the aid of an exact ray-tracing method for birefringent media, the interference of the two wave fronts produced by the beam splitter is computed at an arbitrarily positioned detector array. It is shown that a compact, static Fourier-transform spectrometer employing a single modified Wollaston prism can be designed such that the fringes are perpendicular to the incident beam. The effects of aperture size, coherence of the source, and incidence angle on the resulting interferogram are quantified.

Birefringence Measurement Techniques Applied to Stress Evaluation in Optical Devices

Residual stress affects the reliability and the performance of optical devices. The Two-Waveplate Compensator (TWC) and the Brace-Kohler techniques are implemented for full-field retardation measurements. Stress profiles are computed in various optical fibers.

Two-waveplate compensator for low-level birefringence measurements

Low-level birefringence measurements are of great interest in biology and in optical communications. Optical device performance can be affected by natural and induced birefringence. A new retardation measurement method that allows full-field retardation profiling is presented and compared with existing methods.