Exact Solution of Spatial Chirped Dark Soliton in Metamaterials and Its Propagation Characteristics

Fei Gao; Rongcao Yang; Heping Jia; Jinping Tian

doi:10.3788/AOS201939.0219001

Journals >Acta Optica Sinica >Volume 39 >Issue 2 >Page 0219001 > Article

Acta Optica Sinica
Vol. 39, Issue 2, 0219001 (2019)

Exact Solution of Spatial Chirped Dark Soliton in Metamaterials and Its Propagation Characteristics

Fei Gao^*, Rongcao Yang^*, Heping Jia, and Jinping Tian

Author Affiliations

College of Physics & Electronic Engineering, Shanxi University, Taiyuan, Shanxi 030006, China

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DOI: 10.3788/AOS201939.0219001 Cite this Article Set citation alerts

Fei Gao, Rongcao Yang, Heping Jia, Jinping Tian. Exact Solution of Spatial Chirped Dark Soliton in Metamaterials and Its Propagation Characteristics[J]. Acta Optica Sinica, 2019, 39(2): 0219001 Copy Citation Text

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Fig. 1. C1 and C2 versus normalized frequency ω at ωpm/ωpe=0.8. (a)(b) χp=0 or χm=0; (c)(d) χp≠0 and χm≠0

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$Transmission characteristics of DSI for electrical or magnetic single nonlinear polarization. (a1) Initial profile and distribution of DSI after propagating 50 diffraction lengths when (χp,χm)=(1,0) and ω=0.7; (a2) background amplitude and full width at half maximum of DSI versus normalized frequency when (χp,χm)=(1,0); (a3) spatial chirp when (χp,χm)=(1,0); (b1) initial profile and distribution of DSI after propagating 50 diffraction lengths when (χp,χm)=(0,-1) and ω=0.7; (b2) background amplit$

Fig. 2. Transmission characteristics of DSI for electrical or magnetic single nonlinear polarization. (a1) Initial profile and distribution of DSI after propagating 50 diffraction lengths when (χp,χm)=(1,0) and ω=0.7; (a2) background amplitude and full width at half maximum of DSI versus normalized frequency when (χp,χm)=(1,0); (a3) spatial chirp when (χp,χm)=(1,0); (b1) initial profile and distribution of DSI after propagating 50 diffraction lengths when (χp,χm)=(0,-1) and ω=0.7; (b2) background amplit

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$Transmission characteristics of DSII for electrical or magnetic single nonlinear polarization. (a1) Initial profile and distribution of DSII after propagating 50 diffraction lengths when (χp,χm)=(-1,0) and ω=1.4; (a2) background amplitude and full width at half maximum of DSII versus normalized frequency when (χp,χm)=(-1,0); (a3) spatial chirp when (χp,χm)=(-1,0); (b1) initial profile and distribution of DSII after propagating 50 diffraction lengths when (χp,χm)=(0,-1) and ω=1.4; (b2) background$

Fig. 3. Transmission characteristics of DSII for electrical or magnetic single nonlinear polarization. (a1) Initial profile and distribution of DSII after propagating 50 diffraction lengths when (χp,χm)=(-1,0) and ω=1.4; (a2) background amplitude and full width at half maximum of DSII versus normalized frequency when (χp,χm)=(-1,0); (a3) spatial chirp when (χp,χm)=(-1,0); (b1) initial profile and distribution of DSII after propagating 50 diffraction lengths when (χp,χm)=(0,-1) and ω=1.4; (b2) background

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$Transmission characteristics of DSI for electrical and magnetic double nonlinear polarization. (a1) Initial profile and distribution of DSI after propagating 50 diffraction lengths when (χp,χm)=(1,1) and ω=0.78; (a2) background amplitude and full width at half maximum of DSI versus normalized frequency when (χp,χm)=(1,1); (a3) spatial chirp when (χp,χm)=(1,1); (b1) initial profile and distribution of DSI after propagating 50 diffraction lengths when (χp,χm)=(1,-1) and ω=0.7; (b2) background ampl$

Fig. 4. Transmission characteristics of DSI for electrical and magnetic double nonlinear polarization. (a1) Initial profile and distribution of DSI after propagating 50 diffraction lengths when (χp,χm)=(1,1) and ω=0.78; (a2) background amplitude and full width at half maximum of DSI versus normalized frequency when (χp,χm)=(1,1); (a3) spatial chirp when (χp,χm)=(1,1); (b1) initial profile and distribution of DSI after propagating 50 diffraction lengths when (χp,χm)=(1,-1) and ω=0.7; (b2) background ampl

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$Transmission characteristics of DSII for electrical and magnetic double nonlinear polarization. (a1) Initial profile and distribution of DSII after propagating 50 diffraction lengths when (χp,χm)=(-1,1) and ω=0.78; (a2) background amplitude and full width at half maximum of DSII versus normalized frequency when (χp,χm)=(-1,1); (a3) spatial chirp when (χp,χm)=(-1,1); (b1) initial profile and distribution of DSII after propagating 50 diffraction lengths when (χp,χm)=(-1,-1) and ω=1.4; (b2) backgro$

Fig. 5. Transmission characteristics of DSII for electrical and magnetic double nonlinear polarization. (a1) Initial profile and distribution of DSII after propagating 50 diffraction lengths when (χp,χm)=(-1,1) and ω=0.78; (a2) background amplitude and full width at half maximum of DSII versus normalized frequency when (χp,χm)=(-1,1); (a3) spatial chirp when (χp,χm)=(-1,1); (b1) initial profile and distribution of DSII after propagating 50 diffraction lengths when (χp,χm)=(-1,-1) and ω=1.4; (b2) backgro

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Soliton type	Region of n	Range of ω	(χ_p,χ_m)
DSI	n<0	ω<0.8	(1,0)
	n<0	ω<0.8	(0,-1)
	n<0	ω<0.706 or ω>0.774	(1,1)
	n<0	ω<0.8	(1,-1)
	n<0	0.706<ω<0.774	(-1,-1)
DSII	n>0	ω>1.0	(-1,0)
	n>0	ω>1.0	(0,-1)
	n>0	ω>1.0	(-1,1)
	n>0	ω>1.0	(-1,-1)

Table 1. Existence regions of DSI and DSII in electronic and/or magnetic nonlinear metamaterials

Fei Gao, Rongcao Yang, Heping Jia, Jinping Tian. Exact Solution of Spatial Chirped Dark Soliton in Metamaterials and Its Propagation Characteristics[J]. Acta Optica Sinica, 2019, 39(2): 0219001

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