1. Date of download: 6/23/2016 Copyright © 2016 SPIE. All rights reserved. Shift in resonance wavelength (from 1.55 to 1.548 μm) due to application of pump pulse. Figure Legend: From: Performance of optical microring resonator as multiplexer and all-optical logic shifter in Z-domain Opt. Eng. 2016;55(1):016105. doi:10.1117/1.OE.55.1.016105

2. Date of download: 6/23/2016 Copyright © 2016 SPIE. All rights reserved. Schematic diagram of optical directional coupler. Ei1, Ei2 are the inputs of the coupler, Eo1, Eo2 are outputs of the coupler, C is the through-port transmission coefficient and K is the cross port transmission coefficient. Figure Legend: From: Performance of optical microring resonator as multiplexer and all-optical logic shifter in Z-domain Opt. Eng. 2016;55(1):016105. doi:10.1117/1.OE.55.1.016105

3. Date of download: 6/23/2016 Copyright © 2016 SPIE. All rights reserved. Single OMRR and Z-transform schematic: (a) single OMRR containing two direction couplers; (b) Z-transform schematic of single ring resonator with two optical directional couplers. Figure Legend: From: Performance of optical microring resonator as multiplexer and all-optical logic shifter in Z-domain Opt. Eng. 2016;55(1):016105. doi:10.1117/1.OE.55.1.016105

4. Date of download: 6/23/2016 Copyright © 2016 SPIE. All rights reserved. Schematic representation of 4×1 MUX using two OMRR. It consists of bidirectional optical coupler at the through port and drop port and two unidirectional couplers at ring 1 for the input-ports D1, D3; BC: beam combiner. Figure Legend: From: Performance of optical microring resonator as multiplexer and all-optical logic shifter in Z-domain Opt. Eng. 2016;55(1):016105. doi:10.1117/1.OE.55.1.016105

5. Date of download: 6/23/2016 Copyright © 2016 SPIE. All rights reserved. Z-transform schematic (SFG) of 4×1 MUX using two OMRR. Figure Legend: From: Performance of optical microring resonator as multiplexer and all-optical logic shifter in Z-domain Opt. Eng. 2016;55(1):016105. doi:10.1117/1.OE.55.1.016105

6. Date of download: 6/23/2016 Copyright © 2016 SPIE. All rights reserved. Simulated input waveforms for 4×1 MUX, (a) where D0=1100; D1=0010; D2=1000; D3=0101. (b) Waveform of select line as A=0101; B=0011 and simulated output waveform of 4×1 MUX as X=1011. Figure Legend: From: Performance of optical microring resonator as multiplexer and all-optical logic shifter in Z-domain Opt. Eng. 2016;55(1):016105. doi:10.1117/1.OE.55.1.016105

7. Date of download: 6/23/2016 Copyright © 2016 SPIE. All rights reserved. Schematic representation of 8×1 MUX. It consists of bidirectional optical coupler at through port and drop port and six unidirectional couplers. BC: beam combiner. Figure Legend: From: Performance of optical microring resonator as multiplexer and all-optical logic shifter in Z-domain Opt. Eng. 2016;55(1):016105. doi:10.1117/1.OE.55.1.016105

8. Date of download: 6/23/2016 Copyright © 2016 SPIE. All rights reserved. Z-transform schematic representation (SFG) of 8×1 MUX using three OMRR. Figure Legend: From: Performance of optical microring resonator as multiplexer and all-optical logic shifter in Z-domain Opt. Eng. 2016;55(1):016105. doi:10.1117/1.OE.55.1.016105

9. Date of download: 6/23/2016 Copyright © 2016 SPIE. All rights reserved. Simulated input waveforms for 8×1 MUX, (a) where D0=10100010; D1=01010100; D2=00001111; D3=00010100; D4=00010101; D5=00010010; D6=00100100; D7=10101010. (b) Waveforms of select lines as A=10010011; B=01011001; C=01000111 and simulated output waveform of 8×1 MUX as Y=00101110. Figure Legend: From: Performance of optical microring resonator as multiplexer and all-optical logic shifter in Z-domain Opt. Eng. 2016;55(1):016105. doi:10.1117/1.OE.55.1.016105

10. Date of download: 6/23/2016 Copyright © 2016 SPIE. All rights reserved. Schematic diagram of 8-bit logic shifter circuit using eight 8×1 MUX. Figure Legend: From: Performance of optical microring resonator as multiplexer and all-optical logic shifter in Z-domain Opt. Eng. 2016;55(1):016105. doi:10.1117/1.OE.55.1.016105

11. Date of download: 6/23/2016 Copyright © 2016 SPIE. All rights reserved. Simulated input data and responses: (a) simulated 8-bit input data X(X7X6X5X4X3X2X1X0) as (X=10010001); (b) simulated responses of 8-bit logic shifter circuit at the output (P=P7,P6,P5,P4,P3,P2,P1,P0) according to the combination of select lines (A,B,C). Figure Legend: From: Performance of optical microring resonator as multiplexer and all-optical logic shifter in Z-domain Opt. Eng. 2016;55(1):016105. doi:10.1117/1.OE.55.1.016105

12. Date of download: 6/23/2016 Copyright © 2016 SPIE. All rights reserved. Variations of (a) contrast ratio [χCR(dB)] against the coupling coefficient. (b) Extinction ratio [ξER(dB)], against the coupling coefficient. (c) On–off ratio [τon-off(dB)] against the coupling coefficient. (d) Amplitude modulation [ηAM(dB)] against the coupling coefficient. LS: left shift; RS: right shift. Figure Legend: From: Performance of optical microring resonator as multiplexer and all-optical logic shifter in Z-domain Opt. Eng. 2016;55(1):016105. doi:10.1117/1.OE.55.1.016105