电子与信息学报
電子與信息學報
전자여신식학보
JOURNAL OF ELECTRONICS & INFORMATION TECHNOLOGY
2013年
12期
3011-3017
,共7页
杨银堂%王凤娟%朱樟明%刘晓贤%丁瑞雪
楊銀堂%王鳳娟%硃樟明%劉曉賢%丁瑞雪
양은당%왕봉연%주장명%류효현%정서설
集成电路%锥型硅通孔%寄生电容%MOS效应%泊松方程
集成電路%錐型硅通孔%寄生電容%MOS效應%泊鬆方程
집성전로%추형규통공%기생전용%MOS효응%박송방정
Integrated circuit%Tapered Through-Silicon-Vias (TSV)%Parasitic capacitance%MOS effect%Poisson’s equation
该文采用求解泊松方程等数学方法,提出了考虑MOS效应的锥型硅通孔(TSV)寄生电容解析模型。基于铜材料TSV,对比了解析模型与Ansoft Q3D参数提取模型,得出在偏置电压为-0.4 V,0.5 V和1.0 V时,对于锥型TSV侧面倾角为75°,80°,85°和90°4种情况,多个参数变化时解析模型最大均方根误差分别为6.12%,4.37%,3.34%和4.84%,忽略MOS效应时,最大均方根误差分别达到210.42%,214.81%,214.52%和211.47%,验证了该解析模型的准确性和考虑MOS效应的必要性。Ansoft HFSS仿真结果表明,考虑MOS效应以后S11的最大减幅大约为19 dB,21S 的最大增幅大约为0.01 dB,锥型TSV的传输性能得到改善。
該文採用求解泊鬆方程等數學方法,提齣瞭攷慮MOS效應的錐型硅通孔(TSV)寄生電容解析模型。基于銅材料TSV,對比瞭解析模型與Ansoft Q3D參數提取模型,得齣在偏置電壓為-0.4 V,0.5 V和1.0 V時,對于錐型TSV側麵傾角為75°,80°,85°和90°4種情況,多箇參數變化時解析模型最大均方根誤差分彆為6.12%,4.37%,3.34%和4.84%,忽略MOS效應時,最大均方根誤差分彆達到210.42%,214.81%,214.52%和211.47%,驗證瞭該解析模型的準確性和攷慮MOS效應的必要性。Ansoft HFSS倣真結果錶明,攷慮MOS效應以後S11的最大減幅大約為19 dB,21S 的最大增幅大約為0.01 dB,錐型TSV的傳輸性能得到改善。
해문채용구해박송방정등수학방법,제출료고필MOS효응적추형규통공(TSV)기생전용해석모형。기우동재료TSV,대비료해석모형여Ansoft Q3D삼수제취모형,득출재편치전압위-0.4 V,0.5 V화1.0 V시,대우추형TSV측면경각위75°,80°,85°화90°4충정황,다개삼수변화시해석모형최대균방근오차분별위6.12%,4.37%,3.34%화4.84%,홀략MOS효응시,최대균방근오차분별체도210.42%,214.81%,214.52%화211.47%,험증료해해석모형적준학성화고필MOS효응적필요성。Ansoft HFSS방진결과표명,고필MOS효응이후S11적최대감폭대약위19 dB,21S 적최대증폭대약위0.01 dB,추형TSV적전수성능득도개선。
An analytical model for the parasitic capacitance of tapered Through-Silicon-Vias (TSV) with MOS effect is proposed by solving Poisson’s equation. A comparison between the analytical model and Ansoft Q3D parameter extraction model is given based on copper TSV. The results show that in the bias voltage of-0.4 V, 0.5 V and 1.0 V, for the tapered TSV slop wall angles of 75°, 80°, 85° and 90°, the maximum Root Mean Square (RMS) errors of analytical model are respectively 6.12%, 4.37%, 3.34%and 4.84%over a wide range of multiple parameters;when MOS effect is ignored, the maximum RMS errors are respectively 210.42%, 214.81%, 214.52%and 211.47%, and it proves that the analytical model is accurate and the consideration of MOS effect is necessary to the analytical model. Taking into account the MOS effect, the maximum damping of 11S and the maximum increase of 21S are about 19 dB and 0.01 dB respectively, simulated by Ansoft HFSS, so the transmission performance of tapered TSV is improved.