ngµç×ÓÓÎÏ·ÐÂÎÅÍøÑ¶£¨Í¨Ñ¶Ô±À×ÊÀݼ£©ngµç×ÓÓÎÏ·¹âµçÖÊÁÏÓëÊÖÒÕ¹ú¼ÒÖØµãʵÑéÊÒ¡¢¡¢¡¢ÎïÀíѧԺ¶½¨ÎĽÌÊÚÍŶӷ¢Ã÷ÁËË«²ã³¬¹¹¹âÕ¤¾ßÓÐØÍÆ«ÕñÍØÆËÊôÐÔ£¬£¬ÆÊÎöÁËÁ¬ÐøÓòÔ¼ÊøÌ¬ºÍµ¥Ïòµ¼Ä£¹²ÕñµÈÍØÆË¹âѧģʽÊÇÁ½ÀàÌØÊâµÄØÍÆ«ÕñͼÏñ¡£¡£¡£Í¬Ê±£¬£¬ÍØÆË±£»£»£»¤ÏµķǶԳƷøÉä¿ÉÒÔ±»ÓÃÓÚÏàλ²îÁ¬Ðø¿Éµ÷µÄÏà¹ØÍêÉÆÎüÊÕ¡£¡£¡£¸ÃÊÂÇéΪÃ÷ȷ΢ÄÉÑDz¨³¤½á¹¹ÖзǶԳƷøÉä¹âѧÐÐΪµÄÍØÆËÐÔ×ÓÌṩÁËеÄÊӽǣ¬£¬ÓÐÍûʵÏÖ¹â¿ØºÍ·Ç¶Ô³Æ¶¯Ì¬µ÷ÖÆµÄÐÂÐ͹â×ÓÆ÷¼þ£¬£¬ÔÚ¹âµç̽²â¡¢¡¢¡¢ÈÈ·øÉä¡¢¡¢¡¢micro-LED¿Ø¹â¡¢¡¢¡¢Á¿×Ó·¢ÉäµÈÁìÓò¾ßÓÐÁÉÀ«µÄÓ¦ÓÃÔ¶¾°¡£¡£¡£
·Ç¶Ô³Æ·øÉäÊÇ΢ÄÉÑDz¨³¤½á¹¹£¨È糬¹¹¹âÕ¤¡¢¡¢¡¢¹â×Ó¾§Ì壩³£¼ûµÄ¹âÑ§ÌØÕ÷£¬£¬ËüÌåÏÖΪÏòÉÏ/Ï·øÉ䳡Õñ·ùºÍÏàλµÄ²î±ðÐÔ¡£¡£¡£Ò»·½Ã棬£¬ÉÏÏ·øÉäÕñ·ù²î±ð£¨µ¥Ïò¶È£©ÊÇÓ°Ïì¹âЧʹÓÃÂʵÄÒªº¦£¬£¬ÔÚ¹âѧ΢ǻ¡¢¡¢¡¢Æ¬Éϼ¤¹âÆ÷¡¢¡¢¡¢¹âѧÌìÏßµÈ΢ÄÉÑDz¨³¤¹â×ÓÔª¼þÑо¿ÖлñµÃÆÕ±é¹Ø×¢£»£»£»ÁíÒ»·½Ã棬£¬ÉÏÏ·øÉäÏàλ²îÊÇʵÏÖÏà¹Ø¹âµ÷¿ØµÄÎïÀí»ù´¡£¬£¬ÈçÏà¹ØÎüÊÕ£¬£¬¹â¿Ø¿ª¹ØµÈ¡£¡£¡£Òò´Ë£¬£¬¶Ô·Ç¶Ô³Æ·øÉäÐÐΪµÄÉîÈëÃ÷È·ºÍÎÞаµ÷¿Ø£¬£¬½«¶Ô·Ç¶Ô³Æ¹âµ÷¿ØÓ¦ÓþßÓÐÊ®·ÖÖ÷ÒªµÄÒâÒå¡£¡£¡£
½üÄêÀ´£¬£¬ÒÔ¹â×Ó¾§Ì寽°åΪ´ú±íµÄÖÜÆÚÐÔ΢ÄÉÑDz¨³¤½á¹¹ÖеÄÔ¶³¡Æ«ÕñÎÐÐýÊܵ½ÁËÆÕ±é¹Ø×¢¡£¡£¡£»£»£»ùÓÚÆ«ÕñÎÐÐýµÄͼÏñ£¬£¬Ñо¿ÕßÃÇÕ¹ÏÖÁËÁ¬ÐøÓòÔ¼ÊøÌ¬£¨Bound state in the continuum£¬£¬BIC£©ºÍµ¥Ïòµ¼Ä£¹²Õñ£¨Unidirectional guided resonance£¬£¬UGR£©Á½ÀàÌØÊâ·Ç¶Ô³Æ·øÉä±³ºóµÄÍØÆËÊôÐÔ¡£¡£¡£È»¶ø£¬£¬¹ØÓÚÒ»°ãµÄ·Ç¶Ô³Æ·øÉ䣬£¬¼´í§ÒâµÄµ¥Ïò¶ÈºÍÏàλ²î£¬£¬¶¯Á¿¿Õ¼äÆ«ÕñÎÐÐýµÄͼÏñÄÑÒÔÍêÕûÐÎò£¬£¬¼«´óÏÞÖÆÁ˶ԷǶԳƷøÉäÑÝ»¯¼ÍÂɺ͵÷¿Ø»úÖÆµÄ̽Ë÷¡£¡£¡£
¶½¨ÎĽÌÊÚÍŶÓÔÚÄܹȲ¨µ¼¡¾Nat. Mater. 16, 298 (2017), Nat. Commun. 10, 872 (2019)¡¿¡¢¡¢¡¢½Ç̬΢ǻ¡¾Physical Review Letters 122, 233902 (2019)£¬£¬Natl. Sci. Rev. 10, nwac289 (2023)¡¿µÈǰÆÚÑо¿»ù´¡ÉÏ£¬£¬½«ÍØÆË¹âѧÔÀíÒýÈ볬¹¹¹âÕ¤µÄ·Ç¶Ô³Æ·øÉäÑо¿¡£¡£¡£Ñо¿ÍŶÓÌá³öÁËÒ»°ã·Ç¶Ô³Æ·øÉäµÄØÍÆ«ÕñÎïÀíͼÏñ£¬£¬½«í§Òâ·Ç¶Ô³Æ·øÉäÖðÒ»Ó³Éäµ½ØÍÆ«ÕñµÄ¼¸ºÎ²ÎÁ¿£¨Í¼1£¨a£©£©¡£¡£¡£Á¬ÏµÅÓ¼ÓÀ³Çò£¬£¬Ñо¿ÍŶӷ¢Ã÷BICºÍUGR»®·Ö¶ÔÓ¦ÓÚÇòÐĺÍS2ÖáµÄ¼«µã£¬£¬¶øÒ»°ã·Ç¶Ô³Æ·øÉäÐÐΪÔò¿ÉÒÔÓÉÅÓ¼ÓÀ³ÇòÇòÃæÍêÕûÐÎò£¨Í¼1£¨b£©£©¡£¡£¡£ÒÔË«²ã³¬¹¹¹âդΪÀý£¬£¬Ñо¿ÍŶӽøÒ»²½Ñо¿Á˺ϳɲÎÊý¿Õ¼äkx - ¦¤gÖÐØÍÆ«ÕñÎÐÐýµÄÐγɻúÖÆºÍÑÝ»¯¼ÍÂÉ¡£¡£¡£Ñо¿ÍŶӷ¢Ã÷BICÔÚ²ÎÊý¿Õ¼äÖÐÓÕµ¼ÁË´øÕûÊýÍØÆËºÉµÄØÍÆ«ÕñÎÐÐý£¨Í¼1£¨c£©£©¡£¡£¡£µ±Í»ÆÆ¿Õ¼ä·´ÑݶԳÆÐÔʱ£¬£¬ØÍÆ«ÕñÎÐÐý½«ÆÆËéΪһ¶Ô°ëÕûÊýµÄԲƫÕñµã£¨Í¼1£¨d£©£©£¬£¬ÕâʹµÃÅÓ¼ÓÀ³ÇòÇòÃæ¿ÉÒÔ±»´ó¹æÄ£ÁýÕÖ£¬£¬Óɴ˿ɻùÓÚË«²ã³¬¹¹¹âդʵÏÖ·øÉäµ¥Ïò¶ÈºÍÏàλ²îµÄ×ÔÁ¦µ÷¿Ø¡£¡£¡£½øÒ»²½£¬£¬Ñо¿ÍŶÓÑÝʾÁËÏàλ²îÁ¬Ðø¿Éµ÷µÄÏà¹ØÍêÉÆÎüÊÕÐÂÓ¦Óã¨Í¼1£¨e£©£©¡£¡£¡£Ïà¹ØÍêÉÆÎüÊÕ»úÖÆÄܼ«´óÔöÇ¿ÈõÎüÊÕÖÊÁϵĹâÎüÊÕÄÜÁ¦£¬£¬Ò²±»³ÆÎª·´¼¤¹â¡£¡£¡£Ñо¿ÍŶÓͨ¹ýÀíÂÛÆÊÎöÖ¸³ö·Ç¶Ô³Æ·øÉäµ÷¿Ø¿ÉÒÔÓ¦ÓÃÓÚ¶¨ÖÆ»¯Éè¼ÆÏà¹ØÍêÉÆÎüÊÕÌõ¼þ¡£¡£¡£Ç°ÎĵÄÑо¿ÖУ¬£¬ÍØÆËºÉÊØºãÂɰü¹ÜÁ˲ÎÊý¿Õ¼äÒ»¶ÔԲƫÕñµãÎȹ̱£´æ£¬£¬½ø¶ø°ü¹ÜÁËÏà¹ØÍêÉÆÎüÊÕµÄÈëÉä¹âÏàλ²îÔÚ-¦Ð/2µ½¦Ð/2¹æÄ£ÄÚÁ¬Ðø¿Éµ÷¡£¡£¡£Ñо¿ÍŶÓͨ¹ýÀíÂÛÅÌËãºÍÈ«²¨Ä£ÄâÅú×¢£¬£¬Ïà¹ØÎüÊÕ¾Þϸ¿ÉÒÔͨ¹ýÈëÉä¹âÏàλ²îÎÞаµ÷¿Ø£¬£¬ÇÒ·åÖµ¶ÔÓ¦Ïàλ²î¿ÉÒÔÔÚ-¦Ð/2µ½¦Ð/2ÄÚ¶¨ÖÆ»¯Éè¼Æ£¨Í¼1£¨f£©£©¡£¡£¡£

ͼ1. (a) ÉÏÏ·øÉäÕñ·ùºÍÏàλ²î±ðµÄ·Ç¶Ô³Æ·øÉ䣻£»£»(b) í§Òâ·Ç¶Ô³Æ·øÉäµÄÅÓ¼ÓÀ³ÇòÌåÏÖ£»£»£»(c, d) Í»ÆÆ¿Õ¼ä·´ÑݶԳÆÐÔǰºóµÄØÍÆ«Õñ³¡ÂþÑÜ£»£»£»(e) Ïà¹ØÎüÊÕʾÒâͼ£»£»£»(f) ²î±ð·øÉäÏàλ²îÇéÐÎÏ£¬£¬Ïà¹ØÎüÊÕËæÈëÉä¹âÏàλ²îµÄת±ä¡£¡£¡£
Ïà¹ØÑо¿Ð§¹ûÒÔ¡°Topological Nature of Radiation Asymmetry in Bilayer Metagratings¡±ÎªÌ⣬£¬ÓÚ2024Äê3ÔÂ11ÈÕ½ÒÏþÓÚ¹ú¼ÊÖøÃûÆÚ¿¯¡¶Physical Review Letters¡·¡£¡£¡£ngµç×ÓÓÎϷΪ¸ÃЧ¹ûµÄΨһÊðÃûµ¥Î»£¬£¬ÎïÀíѧԺ²©Ê¿ÉúׯÔóÅôΪµÚÒ»×÷Õߣ¬£¬¶½¨ÎĽÌÊÚΪΨһͨѶ×÷Õß¡£¡£¡£ÎïÀíѧԺ³ÂÏþ¶«¸±½ÌÊÚ¡¢¡¢¡¢ºÎÐÁÌθ±½ÌÊںͲ©Ê¿ÉúÔøºÆÁúҲΪ±¾ÊÂÇé×ö³öÁËÖ÷ҪТ˳¡£¡£¡£¸ÃÊÂÇé»ñµÃÁ˹ú¼Ò×ÔÈ»¿ÆÑ§»ù½ðÖØµãÏîÄ¿¡¢¡¢¡¢¹ú¼ÒÖØµãÑз¢ÍýÏë¡¢¡¢¡¢¹ã¶«Ê¡Ê×Åú׿ԽÇàÄêÍŶÓÏîÄ¿µÄ´óÁ¦Ö§³Ö¡£¡£¡£
ÂÛÎÄÁ´½Ó£ºhttps://journals.aps.org/prl/abstract/10.1103/PhysRevLett.132.113801