Abstract

A method is proposed, on the basis of the vector electromagnetic theory, for the numerical calculation of the diffraction of a converging electromagnetic wave by a circular aperture by using Borgnis potentials as auxiliary functions. The diffraction problem of vector electromagnetic fields is simplified greatly by solving the scalar Borgnis potentials. The diffractive field is calculated on the basis of the boundary integral equation, taking into consideration the contribution of the field variables on the diffraction screen surface, which is ignored in the Kirchhoff assumption. An example is given to show the effectiveness and suitability of this method and the distinctiveness of the diffractive fields caused by the vector characteristics of the electromagnetic fields.

© 2006 Optical Society of America

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2005 (3)

2004 (1)

T. Nakano, T. Shima, and J. Tominaga, "Readout process analysis of super-RENS disk," in Proc. SPIE 5380, 328-335 (2004).

2003 (1)

2001 (1)

1998 (1)

J. Tominaga, T. Nakano, and N. Atoda, "An approach for recording and readout beyond the diffraction limit with a Sb thin film," Appl. Phys. Lett. 73, 2078-2080 (1998).

1995 (1)

I. Ichimura, K. Osato, F. Maeda, H. Owa, H. Ooki, and G. S. Kino, "High density optical disk system using a solid immersion lens," in Proc. SPIE 2514, 176-181 (1995).

1992 (1)

1987 (1)

1984 (1)

A. S. Dementev and D. P. Domarkene, "Diffraction of converging spherical waves by a circular aperture," Opt. Spectrosc. (USSR) 56, 532-534 (1984).

1981 (1)

Atoda, N.

J. Tominaga, T. Nakano, and N. Atoda, "An approach for recording and readout beyond the diffraction limit with a Sb thin film," Appl. Phys. Lett. 73, 2078-2080 (1998).

Canale, R. P.

S. C. Chapra and R. P. Canale, Numerical Methods for Engineers (Science Press, 2000).

Chapra, S. C.

S. C. Chapra and R. P. Canale, Numerical Methods for Engineers (Science Press, 2000).

Dementev, A. S.

A. S. Dementev and D. P. Domarkene, "Diffraction of converging spherical waves by a circular aperture," Opt. Spectrosc. (USSR) 56, 532-534 (1984).

Domarkene, D. P.

A. S. Dementev and D. P. Domarkene, "Diffraction of converging spherical waves by a circular aperture," Opt. Spectrosc. (USSR) 56, 532-534 (1984).

Erkkila, J. H.

Fan, Z. Z.

Fletcher, D. A.

Garavaglia, M.

Goodson, K. E.

Ichimura, I.

I. Ichimura, K. Osato, F. Maeda, H. Owa, H. Ooki, and G. S. Kino, "High density optical disk system using a solid immersion lens," in Proc. SPIE 2514, 176-181 (1995).

Kino, G. S.

D. A. Fletcher, K. E. Goodson, and G. S. Kino, "Focusing in microlenses close to a wavelength in diameter," Opt. Lett. 26, 399-401 (2001).

I. Ichimura, K. Osato, F. Maeda, H. Owa, H. Ooki, and G. S. Kino, "High density optical disk system using a solid immersion lens," in Proc. SPIE 2514, 176-181 (1995).

Li, D.

K. Zhang and D. Li, Electromagnetic Theory for Microwaves and Optoelectronics (Springer-Verlag, 1998).

Li, Y.

Maeda, F.

I. Ichimura, K. Osato, F. Maeda, H. Owa, H. Ooki, and G. S. Kino, "High density optical disk system using a solid immersion lens," in Proc. SPIE 2514, 176-181 (1995).

Nakano, T.

T. Nakano, T. Shima, and J. Tominaga, "Readout process analysis of super-RENS disk," in Proc. SPIE 5380, 328-335 (2004).

J. Tominaga, T. Nakano, and N. Atoda, "An approach for recording and readout beyond the diffraction limit with a Sb thin film," Appl. Phys. Lett. 73, 2078-2080 (1998).

Ooki, H.

I. Ichimura, K. Osato, F. Maeda, H. Owa, H. Ooki, and G. S. Kino, "High density optical disk system using a solid immersion lens," in Proc. SPIE 2514, 176-181 (1995).

Osato, K.

I. Ichimura, K. Osato, F. Maeda, H. Owa, H. Ooki, and G. S. Kino, "High density optical disk system using a solid immersion lens," in Proc. SPIE 2514, 176-181 (1995).

Owa, H.

I. Ichimura, K. Osato, F. Maeda, H. Owa, H. Ooki, and G. S. Kino, "High density optical disk system using a solid immersion lens," in Proc. SPIE 2514, 176-181 (1995).

Rogers, M. E.

Shima, T.

T. Nakano, T. Shima, and J. Tominaga, "Readout process analysis of super-RENS disk," in Proc. SPIE 5380, 328-335 (2004).

Tang, T. T.

Tominaga, J.

T. Nakano, T. Shima, and J. Tominaga, "Readout process analysis of super-RENS disk," in Proc. SPIE 5380, 328-335 (2004).

J. Tominaga, T. Nakano, and N. Atoda, "An approach for recording and readout beyond the diffraction limit with a Sb thin film," Appl. Phys. Lett. 73, 2078-2080 (1998).

Torroba, R.

Vainstein, A.

A. Vainstein, Electromagnetic Waves (Soviet Radio Press, 1957) (in Russian).

Visser, T. D.

Wang, X. E.

Wiersma, S. H.

Zhang, K.

K. Zhang and D. Li, Electromagnetic Theory for Microwaves and Optoelectronics (Springer-Verlag, 1998).

Appl. Opt. (1)

Appl. Phys. Lett. (1)

J. Tominaga, T. Nakano, and N. Atoda, "An approach for recording and readout beyond the diffraction limit with a Sb thin film," Appl. Phys. Lett. 73, 2078-2080 (1998).

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. A (5)

Opt. Lett. (1)

Opt. Spectrosc. (1)

A. S. Dementev and D. P. Domarkene, "Diffraction of converging spherical waves by a circular aperture," Opt. Spectrosc. (USSR) 56, 532-534 (1984).

Proc. SPIE (2)

I. Ichimura, K. Osato, F. Maeda, H. Owa, H. Ooki, and G. S. Kino, "High density optical disk system using a solid immersion lens," in Proc. SPIE 2514, 176-181 (1995).

T. Nakano, T. Shima, and J. Tominaga, "Readout process analysis of super-RENS disk," in Proc. SPIE 5380, 328-335 (2004).

Other (3)

K. Zhang and D. Li, Electromagnetic Theory for Microwaves and Optoelectronics (Springer-Verlag, 1998).

A. Vainstein, Electromagnetic Waves (Soviet Radio Press, 1957) (in Russian).

S. C. Chapra and R. P. Canale, Numerical Methods for Engineers (Science Press, 2000).

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