TE振荡模在左手材料劈形平面波导中的传输

沈陆发; 谢建平; 王子华

doi:doi:10.3788/LOP55.041302

激光与光电子学进展, 2018, 55 (4): 041302, 网络出版: 2018-09-11

TE振荡模在左手材料劈形平面波导中的传输下载： 959次

Propagation of TE Oscillating Guided Modes in a Taper Slab Waveguide with Metamaterials

沈陆发 ^*谢建平王子华

作者单位

湖州师范学院理学院, 浙江湖州 313000

图 & 表

图 1. 含各向异性左手材料劈形平面波导示意图

Fig. 1. Schematic of taper slab waveguide with anisotropic metamaterials

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图 2. 劈形平面波导斜率对TE0模色散曲线的影响

Fig. 2. Influence of taper slope wavelength on dispersive of TE0 mode

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图 3. 频率对TE0模色散曲线的影响。其中,劈形波导的斜率为0.01,波导其他参数与4.1.1节相同

Fig. 3. Influence of frequency on dispersive of TE0 mode. The tape slope is 0.01 and other waveguide parameters are the same as section 4.1.1

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图 4. 模阶数对TE振荡模色散曲线的影响。劈形波导斜率为0.01,频率为5.0 GHz,波导的其他参数与4.1.1节相同

Fig. 4. Influence of mode order on dispersive of TE oscillating guided modes. The taper slope equals to 0.01 and f=5.0 GHz, besides, other waveguide parameters are the same as section 4.1.1

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图 5. 劈形平面波导斜率对TE0模功率流的影响,波导其他参数与图3相同

Fig. 5. Influence of taper slope on power flow of TE0 mode. The other corresponding waveguide parameters employed are the same as that in Fig. 3

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图 6. 频率对TE0模功率流传输的影响。劈形波导的斜率为0.01,波导其他参数与图3相同

Fig. 6. Influence of frequency on power propagation of TE0 mode. The slope k=0.01 and the other corresponding parameters employed are the same as that in Fig. 3

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图 7. 模阶数对TE振荡模功率流的影响。频率为5.0 GHz,劈形平面波导的斜率为0.01,波导其他参数与4.1.1相同

Fig. 7. Influence of mode order on power propagation of TE oscillating guided modes. The taper slope k is 0.01, frequency is 5.0 GHz, and other waveguideparameters are the same as 4.1.1

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表 1色散曲线拟合的相关参数

Table1. Some parameters for the dispersive curves fitting

f /GHz	m	k	p₁	p₂	p₃	p₄	p₅	p₆	p₇	p₈	p₉
5	0	0.01	8.14×10^-9	-6.00×10^-7	1.84×10^-5	-0.000298	0.00275	-0.01399	0.04034	0.0337	1.915
5	0	0.05	0.003179	-0.04684	0.2872	-0.9325	1.719	-1.749	1.009	0.1685	1.915
5	0	0.1	0.8138	-5.996	18.38	-29.84	27.5	-13.99	4.034	0.337	1.915
5	1	0.01	9.98×10^-10	-2.87×10^-8	4.95×10^-7	-2.54×10^-6	4.51×10^-5	6.61×10^-4	0.0178	0.446	11.2
5	2	0.01	-6.07×10^-6	1.39×10^-5	-1.23×10^-5	7.52×10^-6	5.01×10^-5	0.001292	0.03248	0.8165	20.53
4.5	0	0.01	5.59×10^-10	-1.87×10^-8	3.34×10^-7	2.60×10^-5	2.54×10^-4	0.0002538	0.007474	0.186	4.694
4.8	0	0.01	3.18×10^-9	-1.98×10^-7	5.23×10^-6	-7.30×10^-5	0.0005909	-0.00244	0.01025	0.1007	2.693
5.3	0	0.01	2.91×10^-8	-2.49×10^-6	8.81×10^-5	-0.001644	0.01735	-0.1022	0.3126	-0.3572	1.224

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沈陆发, 谢建平, 王子华. TE振荡模在左手材料劈形平面波导中的传输[J]. 激光与光电子学进展, 2018, 55(4): 041302. Lufa Shen, Jianping Xie, Zihua Wang. Propagation of TE Oscillating Guided Modes in a Taper Slab Waveguide with Metamaterials[J]. Laser & Optoelectronics Progress, 2018, 55(4): 041302.

TE振荡模在左手材料劈形平面波导中的传输下载： 959次

图 1. 含各向异性左手材料劈形平面波导示意图

Fig. 1. Schematic of taper slab waveguide with anisotropic metamaterials

图 2. 劈形平面波导斜率对TE0模色散曲线的影响

Fig. 2. Influence of taper slope wavelength on dispersive of TE0 mode

图 3. 频率对TE0模色散曲线的影响。其中,劈形波导的斜率为0.01,波导其他参数与4.1.1节相同

Fig. 3. Influence of frequency on dispersive of TE0 mode. The tape slope is 0.01 and other waveguide parameters are the same as section 4.1.1

图 4. 模阶数对TE振荡模色散曲线的影响。劈形波导斜率为0.01,频率为5.0 GHz,波导的其他参数与4.1.1节相同

Fig. 4. Influence of mode order on dispersive of TE oscillating guided modes. The taper slope equals to 0.01 and f=5.0 GHz, besides, other waveguide parameters are the same as section 4.1.1

图 5. 劈形平面波导斜率对TE0模功率流的影响,波导其他参数与图3相同

Fig. 5. Influence of taper slope on power flow of TE0 mode. The other corresponding waveguide parameters employed are the same as that in Fig. 3

图 6. 频率对TE0模功率流传输的影响。劈形波导的斜率为0.01,波导其他参数与图3相同

Fig. 6. Influence of frequency on power propagation of TE0 mode. The slope k=0.01 and the other corresponding parameters employed are the same as that in Fig. 3

图 7. 模阶数对TE振荡模功率流的影响。频率为5.0 GHz,劈形平面波导的斜率为0.01,波导其他参数与4.1.1相同

Fig. 7. Influence of mode order on power propagation of TE oscillating guided modes. The taper slope k is 0.01, frequency is 5.0 GHz, and other waveguideparameters are the same as 4.1.1

表 1色散曲线拟合的相关参数

Table1. Some parameters for the dispersive curves fitting

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TE振荡模在左手材料劈形平面波导中的传输 下载： 959次

图 1. 含各向异性左手材料劈形平面波导示意图

Fig. 1. Schematic of taper slab waveguide with anisotropic metamaterials

图 2. 劈形平面波导斜率对TE0模色散曲线的影响

Fig. 2. Influence of taper slope wavelength on dispersive of TE0 mode

图 3. 频率对TE0模色散曲线的影响。其中,劈形波导的斜率为0.01,波导其他参数与4.1.1节相同

Fig. 3. Influence of frequency on dispersive of TE0 mode. The tape slope is 0.01 and other waveguide parameters are the same as section 4.1.1

图 4. 模阶数对TE振荡模色散曲线的影响。劈形波导斜率为0.01,频率为5.0 GHz,波导的其他参数与4.1.1节相同

Fig. 4. Influence of mode order on dispersive of TE oscillating guided modes. The taper slope equals to 0.01 and f=5.0 GHz, besides, other waveguide parameters are the same as section 4.1.1

图 5. 劈形平面波导斜率对TE0模功率流的影响,波导其他参数与图3相同

Fig. 5. Influence of taper slope on power flow of TE0 mode. The other corresponding waveguide parameters employed are the same as that in Fig. 3

图 6. 频率对TE0模功率流传输的影响。劈形波导的斜率为0.01,波导其他参数与图3相同

Fig. 6. Influence of frequency on power propagation of TE0 mode. The slope k=0.01 and the other corresponding parameters employed are the same as that in Fig. 3

图 7. 模阶数对TE振荡模功率流的影响。频率为5.0 GHz,劈形平面波导的斜率为0.01,波导其他参数与4.1.1相同

Fig. 7. Influence of mode order on power propagation of TE oscillating guided modes. The taper slope k is 0.01, frequency is 5.0 GHz, and other waveguideparameters are the same as 4.1.1

表 1色散曲线拟合的相关参数

Table1. Some parameters for the dispersive curves fitting

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TE振荡模在左手材料劈形平面波导中的传输下载： 959次