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ÌØ±ðÇ¿µ÷µÄÊÇ£¬µ±WºÍRÇ÷ÓÚ0ʱ£¬Ê½(5.124)ºÍʽ(5.125)¶¼²»Äܵõ½ÕýÈ·µÄ¼«ÏÞÖµ¡£ÎÄÏ×£Û26£Ý×ܽáÁËÕâЩ½á¹û¡£ÎÄÏ×£Û25£ÝÖвÉÓõķ½·¨¿ÉÒÔÀ©Õ¹µ½ÎÄÏ×£Û27£ÝÖеÄÐí¶àÆäËûÇéÐΣ¬°üÀ¨´øÓÐÆ½ÃæÆ½Ðе缫ºÍ°üÀ¨Õý·½ÐΡ¢¾ØÐκͶà±ßÐεĸ÷ÖÖÐÎ×´µÄÓÐÏÞ·¢ÉäÇøÓò¡£ ¶ÔÓÚͬÖáԲͲ¼äµÄ¿Õ¼äµçºÉÏÞÖÆµçÁ÷£¬µ±µç×Ó´ÓÆäÖÐÒ»¸ö»·×´´øÖз¢Éä³öÀ´Ê±£¬ÎÄÏ×£Û28£Ý¶Ô´Ë½øÐÐÁËÑо¿¡£Ä£ÄâºöÂÔµç×ÓÁ÷µÄ×Դų¡£¬²¢¼Ù¶¨·¢ÉäÌå±íÃæÉϵçÁ÷ÃܶȾùÔÈ¡£¿¼ÂÇÁË»á¾ÛÁ÷(Ñô¼«ÔÚÒõ¼«ÀïÃæ)ºÍ·¢É¢Á÷Á½ÖÖÇé¿ö¡£·¢ÏÖÁ½ÖÖÇé¿ö¿ÉÒÔÓÃͬһ¸ö¾­ÑéÐÞÕýÒò×ÓÀ´ÃèÊö£º I2DILB=1+0.1536RL+0.0183RL2(5.126) ʽÖУ¬RÊÇÍâµç¼«°ë¾¶£¬LÊÇ·¢Éä´ø³¤¶È£¬ILBÊÇÓÃʽ(5.70)¼ÆËãµÄ³¤¶ÈLÉϵĵçÁ÷¡£Ê½(5.126)¶ÔR/r=3ºÍ10(rÊÇÄڵ缫°ë¾¶)ÇÒ0.23ʱ£¬Ê½(5.70)ÖеĦÂÖµ¿ìËÙ½Ó½üÒ»¸ö½¥½üÖµ£» µ±R/r<3ʱ£¬²»ÔÙÊÇÕâÖÖÇé¿ö£¬Ê½(5.126)²»ÔÙÓÐЧ¡£¶ÔÓÚÕâÖÖÇé¿öµÄÀíÂÛ½âÊÍΪÈçÏÂÐÎʽ£º I2DILB=1+4(R-r)¦ÐLF(R/r)(5.127) ʽÖУ¬F(R/r)ÊÇÒ»¸öº¯Êý(²Î¼ûÎÄÏ×£Û27£ÝÖеIJåͼ)£¬¸ù¾Ý»á¾ÛÁ÷ºÍ·¢É¢Á÷µÄ²»Í¬Çé¿ö£¬È¡²»Í¬µÄÖµ¡£ÔÚR/r¡ú1£¬F¡ú1/4µÄ¼«ÏÞÇé¿öÏ£¬¶ÔÓÚR/r>1£¬¸ÃÖµ´óÔ¼ÊÇ»á¾ÛÁ÷ºÍ·¢É¢Á÷µÄƽ¾ùÖµ¡£¿ÉÒÔ¿´³ö£¬µ±L/R>1ʱ£¬¶ÔÓÚR/r=3ºÍ10£¬Ê½(5.126)ºÍʽ(5.127)µÃµ½ÀàËÆ½á¹û¡£µ«ÊÇ£¬µ±R/rÖµ½ÏСʱ£¬Ê½(5.126)²»Ç÷ÏòÓÚËüÔ­±¾Ó¦¸ÃµÄÆ½ÃæÏÞÖÆ£¬Æä½á¹û²»Í¬¡£¶ÔÓÚL/R<1£¬Ã¿ÖÖ·½·¨¶¼²»¾«È·£¬ÒòΪ¶¼Ã»Óп¼ÂÇ·¢Éä´ø±ßÔµµÄÔöÇ¿·¢Éä¡£ ²Î¿¼ÎÄÏ× £Û1£ÝI.Langmuir, ¡®The effect of space charge and residual gases on thermionic currents in high vacuum¡¯, Physical Review, vol.2, pp.450ª²486, 1913. £Û2£ÝS.E.Tsimring,Electron Beams and Microwave Vacuum Electronics.Hoboken, NJ: Wiley,2007. £Û3£ÝR.Vaughan, ¡®A synthesis of the Longo and Eng cathode emission models¡¯,IEEE Transactions on Electron Devices, vol.33, pp.1925ª²1927, 1986. £Û4£ÝC.D.Child, ¡®Discharge from hot CaO¡¯,Physical Review (Series I), vol.32, pp.492ª²511,1911. £Û5£ÝR.J.Umstattd et al., ¡®A simple physical derivation of Childª²Langmuir spaceª²charge limited emission using vacuum capacitance¡¯, American 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