Measurement of dynamic polarization modulation depth utilizing the J1–J4 method of spectrum analysis

A spectrum analysis method for the linear, direct, and self‐consistent measurement of dynamic modulation depth of polarization modulators is presented. This method utilizes the Bessel recurrence relation to determine the modulation depth from the photodetector voltage amplitudes at the fundamental frequency and its next three harmonics. Based on the existing J1–J4 method of dynamic phase‐shift measurement in homodyne interferometry, this method is useful for calibration of polarization modulated ellipsometers. The method is demonstrated through the use of a highly birefringent transparent thin film of piezoelectric polyvinylidene fluoride with indium tin oxide electrodes. The theoretical analysis of the measured noise factor for the particular system configuration predicted a minimum detectable polarization modulation depth of 0.2 rad, and was experimentally verified.

[1]  R. O'handley.  Modified Jones calculus for the analysis of errors in polarization-modulation ellipsometry* , 1973 .

[2]  G. L. Trigg,et al.  Encyclopedia of Applied Physics , 1994 .

[3]  V. Sudarshanam,et al.  Minimum detectable phase shift in spectrum-analysis techniques of optical interferometric vibration detection. , 1992, Applied optics.

[4]  A. Barlow,et al.  Optical-fiber birefringence measurement using a photo-elastic modulator , 1985 .

[5]  D. Das-gupta,et al.  A study of structural and electrical properties of stretched polyvinylidene fluoride films , 1979 .

[6]  R. Azzam,et al.  Ellipsometry and polarized light , 1977 .

[7]  R. O'handley,et al.  A modulated ellipsometer for studying thin film optical properties and surface dynamics , 1973 .

[8]  R. Claus,et al.  Frequency response and phase-shift nonlinearity of a cylindrical PVF/sub 2/-film-based fiber-optic phase modulator , 1993 .

[9]  Lithium Tantalate Light Modulators , 1967 .

[10]  S. Jasperson,et al.  An improved method for high reflectivity ellipsometry based on a new polarization modulation technique [Rev. Sci. Instrum. 40, 95 (1969)] (Errata) , 1969 .

[11]  G. Arfken.  Mathematical Methods for Physicists , 1967 .

[12]  K Srinivasan,et al.  Linear readout of dynamic phase change in a fiber-optic homodyne interferometer. , 1989, Optics letters.

[13]  V. Sudarshanam,et al.  Phase shift nonlinearity at resonance in a piezofilm‐based fiber‐optic phase modulator , 1990 .

[14]  Deepak Uttamchandani,et al.  Modified J(1) ... J(4) method for linear readout of dynamic phase changes in a fiber-optic homodyne interferometer. , 1991, Applied optics.