대한전자공학회논문지 (Journal of the Korean Institute of Telematics and Electronics)

대한전자공학회 (The Institute of Electronics and Information Engineers)
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위상 공액 공진기의 고유 모드 직교성에 관한 연구

A Study on the Orthogonality Properties of the Eigenmodes of Phase Conjugate Optical Resonator

  • 조제황 (광운대학교 전자공학과) ;
  • 김은수 (광운대학교 전자공학과) ;
  • 양인응 (광운대학교 전자공학과)
  • Cho, Che Hwang (Dept. of Elec. Eng., Kwang Woon Univ.) ;
  • Kim, Eun Soo (Dept. of Elec. Eng., Kwang Woon Univ.) ;
  • Young, In Eung (Dept. of Elec. Eng., Kwang Woon Univ.)
  • 발행 : 1986.03.01
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초록

In this paper, the orthogonal properties of the eigenmodes of optical resonators which have phase conjugate mirrors at both ends are derived. The modes which propagate in resonators are descdribed by the Huygens integral. Then, the eigeneuqation which is needed in order to prove the orthogonality of the eigenmodes of the resonator is obtained from this representation. When the kernel being a part of the eigenequation is Hermitian as in conventional resonators and in optical resonator with only one phase conjugate mirror, one can show that the eigenmodes have essentially biorthogonal relations, which are satisfied the set of modes propagating in one direcdtion around the resonator and the adjoint set of modes propagating in the reversed direction.

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