Fig. 1. Schematic diagrams of the proposed arbitrary waveform generation system using a linearly chirped fiber Bragg grating

Fig. 2. Refractive index modulation and reflection spectra of grating varying with refractive index modulation scaling factor M₁ when R_max is set to be 0.9 or 0.95. (a) (c) Index modulations; (b) (d) reflection spectra

Fig. 3. Influence of normalized spectral position of refractive index modulated vertex M₂ on design error. (a) Index modulations; (b) reflection spectra

Fig. 4. Simulation results with different normalized spectral position of refractive index modulated vertex M₂. (a)(c) Index modulations; (b)(d) reflection spectra

Fig. 5. Simulation results with different grating lengths (L=1,2,3,4,5 cm). (a) Index modulations; (b) reflection spectra

Fig. 6. Simulation results with different chirp coefficients (C=0.4,0.5,0.6,0.7,0.8 nm/cm ). (a) Index modulations; (b) reflection spectra

Fig. 7. Simulation results with different index modulation errors. (a) Index modulations; (b) reflection spectra

Fig. 8. Simulation results with different CFBG period errors. (a) Chirp coefficients; (b) reflection spectra

Fig. 9. Simulation results of the CFBGs with trapezoidal-shaped spectra and rectangular-shaped spectra. (a) Index modulation for M₂=1/3; (b) corresponding reflection spectrum for M₂=1/3; (c) index modulations for M₂=0, 1/20, 1/10, 1/5, and 2/5; (d) corresponding reflection spectra for M₂=0, 1/20, 1/10, 1/5, and 2/5

Fig. 10. Simulation results of the CFBG with Gaussian-shaped spectrum. (a) Index modulation; (b) reflection spectrum

Fig. 11. Simulation results of the CFBG with parabolic-shaped spectrum. (a) Index modulation; (b) reflection spectrum

Fig. 12. Simulation setup of proposed arbitrary waveform generation system

Fig. 13. Simulation results of grating reflection spectra and time-domain pulses after frequency-to-time mapping under different number of segments W. (a) Triangular-shaped spectrum with W=100; (b) triangular pulses with W=100; (c) triangular-shaped spectrum with W=500; (d) triangular pulses with W=500

Fig. 14. Simulated reflection spectra with different shapes and the corresponding output pulses. (a)(c)(e)(g)(i) Designed reflection spectra; (b)(d)(f)(h)(j) output pulses after frequency-to-time mapping (black dashed lines are ideal pulses)

Fig. 15. Simulation results with different grating lengths and pulse repetition rates. (a)(b) Parabolic-shaped pulse sequence after frequency-to-time mapping for grating length L=2.5 cm and 8 cm, respectively; (c)(d) parabolic-shaped pulse sequence after frequency-to-time mapping for repetition rate of 0.5 GHz and 2 GHz, respectively (black dashed lines are ideal pulses)