“…There have been several mode analysis methods, which can be categorized into two types, i.e., one includes methods of analysis of the modes of output light based on the information on the modal pattern of an electromagnetic field, such as the prism-coupled mode analysis using an oblique section of an optical fiber 6) and a tapered fiber, 7) m-line observation from fiber Bragg gratings, 8) low-coherence interferometry, [9][10][11][12][13][14] eigen-mode expansion technique, 15) spatial and spectral (S 2 ) imaging, [16][17][18][19][20] and swept wavelength interferometry. 21) The other type includes methods based on longitudinal information like propagation constant and group velocity, such as optical frequency domain reflectometry, [22][23][24] resonator, 25,26) time of flight (ToF) method, 27,28) and optical time domain reflectometry (OTDR) method, 29,30) which can measure the dispersion characteristics and the longitudinal distribution of coupling coefficient. There has been no mode analysis method, however, that can provide a full set of amplitudes, phases, and polarization states of transmitted modes including degenerate modes.…”