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  • Received: May. 8, 2020

    Accepted: May. 27, 2020

    Posted: Jul. 24, 2020

    Published Online: Jul. 27, 2020

    The Author Email: Y. F. Chen (yfchen@cc.nctu.edu.tw)

    DOI: 10.3788/COL202018.091404

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    Y. F. Chen, C. C. Lee, C. H. Wang, M. X. Hsieh. Laser transverse modes of spherical resonators: a review [Invited][J]. Chinese Optics Letters, 2020, 18(9): 091404

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Ho=(a1a1+a2a2+1)ωo,(1)

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ψn1,n2(HG)(x˜,y˜)=(2n1+n2n1!n2!π)1/2e(x˜2+y˜2)/2Hn1(x˜)Hn2(y˜),(2)

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J1=(a1a2+a2a1)/2,(3)

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J2=i(a1a2a2a1)/2,(4)

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J3=(a1a1a2a2)/2.(5)

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ψn1,n2(α,β)(x˜,y˜)=eiαJ3eiβJ2ψn1,n2(HG)(x˜,y˜),(6)

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