Determination of ordinary refractive index profile for a planar waveguide by transmission spectrum analysis

1998 ◽  
Vol 83 (11) ◽  
pp. 5650-5657 ◽  
Author(s):  
Shiuh Chao ◽  
Yun-Chiao Chen ◽  
Huai-Yi Chen
Keyword(s):  
Refractive Index ◽  
Spectrum Analysis ◽  
Transmission Spectrum ◽  
Planar Waveguide ◽  
Refractive Index Profile ◽  
Index Profile ◽  
Transmission Spectrum Analysis

REFRACTIVE INDEX PROFILE RECONSTRUCTION OF PLANAR WAVEGUIDE FROM ITS MODE INTENSITY USING CHARACTERISTIC MATRIX METHOD

2001 ◽  
Vol 10 (02) ◽  
pp. 169-179
Author(s):  
HENRI P. URANUS ◽  
M. O. TJIA
Keyword(s):  
Refractive Index ◽  
Intensity Distribution ◽  
Planar Waveguide ◽  
Nonlinear Least Squares ◽  
Refractive Index Profile ◽  
Characteristic Matrix ◽  
Least Squares Regression ◽  
Index Profile ◽  
Measured Intensity ◽  
Parameter Values

A method is proposed for the reconstruction of refractive index profile of planar waveguide from its fundamental mode intensity profile. The reconstruction is performed by fitting the calculated intensity distribution iteratively with the measured intensity distribution employing nonlinear least-squares regression technique. At each stage of iteration, new trial parameter values are generated and used to form a waveguide model approximated by a multilayer structure with stepwise index distribution, upon which the intensity distribution is then calculated by using the characteristic matrix technique. This method was numerically examined by using samples of either known or unknown analytic expression of the index profile.

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