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Hankel function ÊÇ µÚÒ»bessel function  Jn(x) ºÍµÚ¶þÀàbessel function Yn(x)µÄ×éºÏ
H1(x)=Jn(x) +i Yn(x),  H2(x)=Jn(x) -i Yn(x)¡£ Èç¹û°Ñ  Jn(x) ±ÈÓ÷³ÉË¥¼õµÄcos(x)£¬ÄÇô Yn(x) ¾ÍÊÇË¥¼õµÄsin(x)£¬¶ø H1(x)¾ÍÊÇË¥¼õµÄ exp(ix), H2(x)¾ÍÊÇË¥¼õµÄ exp(-ix)¡£ÔÚÎÞÇîÔ¶´¦£¬nÖ÷ÒªÓ°ÏìÏàλ²î¡£ÔÚx=0 ¸½½ü£¬ Jn(x)ÊÇ
Öùº¯ÊýFourierÕ¹¿ªºó exp(i n theta) Àï r function ºÏÊʵÄÕ¹¿ªº¯Êý£¬ÒòΪÔÚ r=0´¦ Jn(r ) ¡Ø r^n ¡£ËùÒÔ£¬Hankel º¯ÊýÀ´±íʾ¸´ÊýÁ¿Õ¹¿ª±È½ÏºÏÊÊ£¬ÓÈÆäÊÇ Öù×ø±êϵĸ´ÊýÕ¹¿ª¡£¾ÍÏñÆ½Ãæ²¨ÀïµÄ exp(ikx).  

bessel function   »ù±¾ÐÔÖʼû http://en.wikipedia.org/wiki/Bessel_function
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2Â¥: Originally posted by pippi6 at 2013-07-05 16:12:46
Hankel function ÊÇ µÚÒ»bessel function  Jn(x) ºÍµÚ¶þÀàbessel function Yn(x)µÄ×éºÏ
H1(x)=Jn(x) +i Yn(x),  H2(x)=Jn(x) -i Yn(x)¡£ Èç¹û°Ñ  Jn(x) ±ÈÓ÷³ÉË¥¼õµÄcos(x)£¬ÄÇô Yn(x) ¾ÍÊÇË¥¼õµÄsin(x)£¬¶ø H1(x ...

modified bessel function of the second kind and zero orderºÍµÚÒ»ÀàÁã½×hankel functionÖ®¼äÊÇÈçºÎת»»µÄÄØ£¿
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