Abstract

A new method based on Maxwell's equations, ABCD ray matrices, and total internal reflection is proposed to theoretically analyze the characteristics of eigenmodes confined in nano-width rectangle resonators. Using this method, mode wavelengths and indices of transverse and longitudinal modes are obtained. Another method based on the finite difference time domain technique and Pad'e approximation is used to numerically calculate resonant wavelengths, mode field distributions and quality factors. The results of two methods show that the resonant wavelengths obtained from both methods are very close, and the maximum relative error is less than 2%. The mode indices of transverse and longitudinal modes obtained agree well with mode field distribution patterns calculated by finite difference time domain techniques.

© 2014 Chinese Optics Letters

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2013 (3)

2012 (2)

2009 (3)

M. A. Zimmler, T. Voss, C. Ronning, and F. Capasso, Appl. Phys. Lett. 94, 241120 (2009).

Q. Yang, X. Jiang, X. Guo, Y. Chen, and L. Tong, Appl. Phys. Lett. 94, 101108 (2009).

Y. Yang, Y. Huang, K. Che, S. Wang, Y.-H. Hu, and Y.Du, IEEE J. Sel. Top. Quantum 15, 879 (2009).

2008 (1)

2006 (2)

2004 (1)

Y. Huang, Q. Lu, W. Guo, and L. Yu, IEEE Proc. Optoelectron. 151, 202 (2004).

2003 (2)

X. Duan, Y. Huang, R. Agarwal, and C. M. Lieber, Nature 421, 241 (2003).

G. T. Paloczi, Y. Huang, A. Yariv, and S. Mookherjea, Opt. Express 11, 2666 (2003).

2002 (1)

Y. Huang, W. Guo, and L. Yan, Chin. Phys. Lett. 19,674 (2002).

2001 (3)

W. Guo, W. Li, and Y. Huang, IEEE Microw. Wirel. Co. 11, 223 (2001).

A. Poon, F. Courvoisier, and R. Chang, Opt. Lett. 26, 632 (2001).

Y. Huang, W. Guo, and Q. Wang, IEEE J. Quantum. Electron. 37, 100 (2001).

2000 (3)

B. Little, S. Chu, W. Pan, and Y. Kokubun, IEEE Photon. Technol. Lett. 12, 32 (2000).

Y. Huang, W. Guo, and Q. Wang, Appl. Phys. Lett. 77, 3511 (2000).

W. Guo, Y. Huang, and Q. Wang, IEEE Photon. Technol. Lett. 12, 813 (2000).

1998 (2)

S. Dey and R. Mittra, IEEE Microw. Guid. Wav. Lett. 8, 415 (1998).

B. E. Little, J. Foresi, G. Steinmeyer, E. Thoen, S. Chu, H. Haus, E. Ippen, L. Kimerling, and W. Greene, IEEE Photon. Technol. Lett. 10, 549 (1998).

1997 (1)

Agarwal, R.

X. Duan, Y. Huang, R. Agarwal, and C. M. Lieber, Nature 421, 241 (2003).

Berneschi, S.

Capasso, F.

M. A. Zimmler, T. Voss, C. Ronning, and F. Capasso, Appl. Phys. Lett. 94, 241120 (2009).

Chang, R.

Che, K.

Y. Yang, Y. Huang, K. Che, S. Wang, Y.-H. Hu, and Y.Du, IEEE J. Sel. Top. Quantum 15, 879 (2009).

Chen, Y.

Q. Yang, X. Jiang, X. Guo, Y. Chen, and L. Tong, Appl. Phys. Lett. 94, 101108 (2009).

Chu, S.

B. Little, S. Chu, W. Pan, and Y. Kokubun, IEEE Photon. Technol. Lett. 12, 32 (2000).

B. E. Little, J. Foresi, G. Steinmeyer, E. Thoen, S. Chu, H. Haus, E. Ippen, L. Kimerling, and W. Greene, IEEE Photon. Technol. Lett. 10, 549 (1998).

Conti, G. Nunzi

Courvoisier, F.

Dey, S.

S. Dey and R. Mittra, IEEE Microw. Guid. Wav. Lett. 8, 415 (1998).

Duan, X.

X. Duan, Y. Huang, R. Agarwal, and C. M. Lieber, Nature 421, 241 (2003).

Feng, G.

Foresi, J.

B. E. Little, J. Foresi, G. Steinmeyer, E. Thoen, S. Chu, H. Haus, E. Ippen, L. Kimerling, and W. Greene, IEEE Photon. Technol. Lett. 10, 549 (1998).

Greene, W.

B. E. Little, J. Foresi, G. Steinmeyer, E. Thoen, S. Chu, H. Haus, E. Ippen, L. Kimerling, and W. Greene, IEEE Photon. Technol. Lett. 10, 549 (1998).

Gu, J.

Guo, W.

Y. Huang, Q. Lu, W. Guo, and L. Yu, IEEE Proc. Optoelectron. 151, 202 (2004).

Y. Huang, W. Guo, and L. Yan, Chin. Phys. Lett. 19,674 (2002).

W. Guo, W. Li, and Y. Huang, IEEE Microw. Wirel. Co. 11, 223 (2001).

Y. Huang, W. Guo, and Q. Wang, IEEE J. Quantum. Electron. 37, 100 (2001).

Y. Huang, W. Guo, and Q. Wang, Appl. Phys. Lett. 77, 3511 (2000).

W. Guo, Y. Huang, and Q. Wang, IEEE Photon. Technol. Lett. 12, 813 (2000).

Guo, X.

Q. Yang, X. Jiang, X. Guo, Y. Chen, and L. Tong, Appl. Phys. Lett. 94, 101108 (2009).

Guo, Z.

Hagness, S.

Haus, H.

B. E. Little, J. Foresi, G. Steinmeyer, E. Thoen, S. Chu, H. Haus, E. Ippen, L. Kimerling, and W. Greene, IEEE Photon. Technol. Lett. 10, 549 (1998).

Ho, S.

Horak, P.

Hu, Y.-H.

Y. Yang, Y. Huang, K. Che, S. Wang, Y.-H. Hu, and Y.Du, IEEE J. Sel. Top. Quantum 15, 879 (2009).

Huang, Y.

Y. Yang, Y. Huang, K. Che, S. Wang, Y.-H. Hu, and Y.Du, IEEE J. Sel. Top. Quantum 15, 879 (2009).

Y. Huang, Q. Lu, W. Guo, and L. Yu, IEEE Proc. Optoelectron. 151, 202 (2004).

G. T. Paloczi, Y. Huang, A. Yariv, and S. Mookherjea, Opt. Express 11, 2666 (2003).

X. Duan, Y. Huang, R. Agarwal, and C. M. Lieber, Nature 421, 241 (2003).

Y. Huang, W. Guo, and L. Yan, Chin. Phys. Lett. 19,674 (2002).

W. Guo, W. Li, and Y. Huang, IEEE Microw. Wirel. Co. 11, 223 (2001).

Y. Huang, W. Guo, and Q. Wang, IEEE J. Quantum. Electron. 37, 100 (2001).

Y. Huang, W. Guo, and Q. Wang, Appl. Phys. Lett. 77, 3511 (2000).

W. Guo, Y. Huang, and Q. Wang, IEEE Photon. Technol. Lett. 12, 813 (2000).

Ippen, E.

B. E. Little, J. Foresi, G. Steinmeyer, E. Thoen, S. Chu, H. Haus, E. Ippen, L. Kimerling, and W. Greene, IEEE Photon. Technol. Lett. 10, 549 (1998).

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Q. Yang, X. Jiang, X. Guo, Y. Chen, and L. Tong, Appl. Phys. Lett. 94, 101108 (2009).

Jiang, Y.

Kimerling, L.

B. E. Little, J. Foresi, G. Steinmeyer, E. Thoen, S. Chu, H. Haus, E. Ippen, L. Kimerling, and W. Greene, IEEE Photon. Technol. Lett. 10, 549 (1998).

Kokubun, Y.

B. Little, S. Chu, W. Pan, and Y. Kokubun, IEEE Photon. Technol. Lett. 12, 32 (2000).

L, W.

Li, M.

Li, W.

W. Guo, W. Li, and Y. Huang, IEEE Microw. Wirel. Co. 11, 223 (2001).

Lieber, C. M.

X. Duan, Y. Huang, R. Agarwal, and C. M. Lieber, Nature 421, 241 (2003).

Little, B.

B. Little, S. Chu, W. Pan, and Y. Kokubun, IEEE Photon. Technol. Lett. 12, 32 (2000).

Little, B. E.

B. E. Little, J. Foresi, G. Steinmeyer, E. Thoen, S. Chu, H. Haus, E. Ippen, L. Kimerling, and W. Greene, IEEE Photon. Technol. Lett. 10, 549 (1998).

Liu, A.

Lu, L.

Lu, Q.

Y. Huang, Q. Lu, W. Guo, and L. Yu, IEEE Proc. Optoelectron. 151, 202 (2004).

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S. Dey and R. Mittra, IEEE Microw. Guid. Wav. Lett. 8, 415 (1998).

Mookherjea, S.

Murugan, G. S.

Paloczi, G. T.

Pan, W.

B. Little, S. Chu, W. Pan, and Y. Kokubun, IEEE Photon. Technol. Lett. 12, 32 (2000).

Panitchob, Y.

Pelli, S.

Poon, A.

Rafizadeh, D.

Ronning, C.

M. A. Zimmler, T. Voss, C. Ronning, and F. Capasso, Appl. Phys. Lett. 94, 241120 (2009).

Song, Y.

Stair, K.

Steinmeyer, G.

B. E. Little, J. Foresi, G. Steinmeyer, E. Thoen, S. Chu, H. Haus, E. Ippen, L. Kimerling, and W. Greene, IEEE Photon. Technol. Lett. 10, 549 (1998).

Taflove, A.

Thoen, E.

B. E. Little, J. Foresi, G. Steinmeyer, E. Thoen, S. Chu, H. Haus, E. Ippen, L. Kimerling, and W. Greene, IEEE Photon. Technol. Lett. 10, 549 (1998).

Tiberio, R.

Tong, L.

Q. Yang, X. Jiang, X. Guo, Y. Chen, and L. Tong, Appl. Phys. Lett. 94, 101108 (2009).

Voss, T.

M. A. Zimmler, T. Voss, C. Ronning, and F. Capasso, Appl. Phys. Lett. 94, 241120 (2009).

Wang, Q.

Y. Huang, W. Guo, and Q. Wang, IEEE J. Quantum. Electron. 37, 100 (2001).

Y. Huang, W. Guo, and Q. Wang, Appl. Phys. Lett. 77, 3511 (2000).

W. Guo, Y. Huang, and Q. Wang, IEEE Photon. Technol. Lett. 12, 813 (2000).

Wang, S.

Y. Yang, Y. Huang, K. Che, S. Wang, Y.-H. Hu, and Y.Du, IEEE J. Sel. Top. Quantum 15, 879 (2009).

Wilkinson, J.

Wu, J. H.

Wysin, G. M.

Xu, F.

Yan, L.

Y. Huang, W. Guo, and L. Yan, Chin. Phys. Lett. 19,674 (2002).

Yan, W.

Yang, C.

G. Feng, C. Yang, and S. Zhou, Nano Lett. 13, 272 (2012).

Yang, L.

Yang, Q.

Q. Yang, X. Jiang, X. Guo, Y. Chen, and L. Tong, Appl. Phys. Lett. 94, 101108 (2009).

Yang, Y.

Y. Yang, Y. Huang, K. Che, S. Wang, Y.-H. Hu, and Y.Du, IEEE J. Sel. Top. Quantum 15, 879 (2009).

Yao, K.

Yariv, A.

Yi, J.

Yin, C.

Yu, B.

Yu, L.

Y. Huang, Q. Lu, W. Guo, and L. Yu, IEEE Proc. Optoelectron. 151, 202 (2004).

Zervas, M.

Zhang, J.

Zhou, S.

Zhu, N.

Zimmler, M. A.

M. A. Zimmler, T. Voss, C. Ronning, and F. Capasso, Appl. Phys. Lett. 94, 241120 (2009).

Appl. Phys. Lett. (3)

M. A. Zimmler, T. Voss, C. Ronning, and F. Capasso, Appl. Phys. Lett. 94, 241120 (2009).

Q. Yang, X. Jiang, X. Guo, Y. Chen, and L. Tong, Appl. Phys. Lett. 94, 101108 (2009).

Y. Huang, W. Guo, and Q. Wang, Appl. Phys. Lett. 77, 3511 (2000).

Chin. Opt. Lett. (3)

Chin. Phys. Lett. (1)

Y. Huang, W. Guo, and L. Yan, Chin. Phys. Lett. 19,674 (2002).

IEEE J. Quantum. Electron. (1)

Y. Huang, W. Guo, and Q. Wang, IEEE J. Quantum. Electron. 37, 100 (2001).

IEEE J. Sel. Top. Quantum (1)

Y. Yang, Y. Huang, K. Che, S. Wang, Y.-H. Hu, and Y.Du, IEEE J. Sel. Top. Quantum 15, 879 (2009).

IEEE Microw. Guid. Wav. Lett. (1)

S. Dey and R. Mittra, IEEE Microw. Guid. Wav. Lett. 8, 415 (1998).

IEEE Microw. Wirel. Co. (1)

W. Guo, W. Li, and Y. Huang, IEEE Microw. Wirel. Co. 11, 223 (2001).

IEEE Photon. Technol. Lett. (3)

W. Guo, Y. Huang, and Q. Wang, IEEE Photon. Technol. Lett. 12, 813 (2000).

B. E. Little, J. Foresi, G. Steinmeyer, E. Thoen, S. Chu, H. Haus, E. Ippen, L. Kimerling, and W. Greene, IEEE Photon. Technol. Lett. 10, 549 (1998).

B. Little, S. Chu, W. Pan, and Y. Kokubun, IEEE Photon. Technol. Lett. 12, 32 (2000).

IEEE Proc. Optoelectron. (1)

Y. Huang, Q. Lu, W. Guo, and L. Yu, IEEE Proc. Optoelectron. 151, 202 (2004).

J. Opt. Soc. Am. B (1)

Nano Lett. (1)

G. Feng, C. Yang, and S. Zhou, Nano Lett. 13, 272 (2012).

Nature (1)

X. Duan, Y. Huang, R. Agarwal, and C. M. Lieber, Nature 421, 241 (2003).

Opt. Express (3)

Opt. Lett. (3)

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