1. Date of download: 6/1/2016 Copyright © 2016 SPIE. All rights reserved. Simulation of time coherence |γ(τ)| as a function of (a) both r and h and (b) r alone when mode hopping occurs. Figure Legend: From: Observation of mode instability and coherence collapse in a single-frequency polarization-maintaining fiber ring laser Opt. Eng. 2014;53(6):066107. doi:10.1117/1.OE.53.6.066107

2. Date of download: 6/1/2016 Copyright © 2016 SPIE. All rights reserved. (a) Schematic of the erbium-doped fiber ring lasers (EDFRL). (b) Experimental setup for measuring the output longitudinal-mode structure and time coherence of the fiber ring laser. ISO, optical isolator; PD, photodetector; and A/D, analog-to-digital converter (the sampling rate is 400 kHz). The phase generated carrier (PGC) modulation frequency is 12.5 kHz. Figure Legend: From: Observation of mode instability and coherence collapse in a single-frequency polarization-maintaining fiber ring laser Opt. Eng. 2014;53(6):066107. doi:10.1117/1.OE.53.6.066107

3. Date of download: 6/1/2016 Copyright © 2016 SPIE. All rights reserved. Mode stability map scaled by pump coefficient. Figure Legend: From: Observation of mode instability and coherence collapse in a single-frequency polarization-maintaining fiber ring laser Opt. Eng. 2014;53(6):066107. doi:10.1117/1.OE.53.6.066107

4. Date of download: 6/1/2016 Copyright © 2016 SPIE. All rights reserved. Mode hopping accompanied with transient coherence collapse. (a) Waterfall graph of the Fabry-Perot (F-P) scanner output. (b) Interference waveform of the Michelson interferometer. (c) Time series of the fringe visibility. Figure Legend: From: Observation of mode instability and coherence collapse in a single-frequency polarization-maintaining fiber ring laser Opt. Eng. 2014;53(6):066107. doi:10.1117/1.OE.53.6.066107

5. Date of download: 6/1/2016 Copyright © 2016 SPIE. All rights reserved. Static MLM oscillation accompanied with smooth coherence collapse. (a) Waterfall graph of the F-P scanner output. (b) Time series of the fringe visibility. The insets in (b) are partial enlargement. Figure Legend: From: Observation of mode instability and coherence collapse in a single-frequency polarization-maintaining fiber ring laser Opt. Eng. 2014;53(6):066107. doi:10.1117/1.OE.53.6.066107

6. Date of download: 6/1/2016 Copyright © 2016 SPIE. All rights reserved. Chaotic multilongitudinal-mode oscillation accompanied with severe coherence collapse. (a) Waterfall graph of the F-P scanner output. (b) Time series of the fringe visibility. Figure Legend: From: Observation of mode instability and coherence collapse in a single-frequency polarization-maintaining fiber ring laser Opt. Eng. 2014;53(6):066107. doi:10.1117/1.OE.53.6.066107

7. Date of download: 6/1/2016 Copyright © 2016 SPIE. All rights reserved. (a) Interference signal spectra and (b) PGC demodulated phase noise floor when the EDFRL is at different output states. Figure Legend: From: Observation of mode instability and coherence collapse in a single-frequency polarization-maintaining fiber ring laser Opt. Eng. 2014;53(6):066107. doi:10.1117/1.OE.53.6.066107