D. S. Marx, D. Psaltis, “Optical diffraction of focused spots and subwavelength structures,” J. Opt. Soc. Am. A 14, 1268–1278 (1997).

[CrossRef]

D. S. Marx, D. Psaltis, “Polarization quadrature measurement of subwavelength diffracting structures,” Appl. Opt. 36, 6434–6440 (1997).

[CrossRef]

O. Mata-Mendez, J. Sumaya-Martinez, “Scattering of TE-polarized waves by a finite grating: giant resonant enhancement of the electric field within the grooves,” J. Opt. Soc. Am. A 14, 2203–2211 (1997).

[CrossRef]

K. Hirayama, E. Glytsis, T. Gaylord, “Rigorous electromagnetic analysis of diffraction by finite-number-of-periods gratings,” J. Opt. Soc. Am. A 14, 907–917 (1997).

[CrossRef]

C. D. Dimitropoulos, A. N. Beris, “An efficient and robust spectral solver for nonseparable elliptic equations,” J. Comput. Phys. 133, 186–191 (1997).

[CrossRef]

J. Bae, T. Okamoto, T. Fujii, K. Mizuno, T. Nozokido, “Experimental demonstration for scanning near-field optical microscopy using a metal micro-slit probe at millimeter wavelengths,” Appl. Phys. Lett. 71, 3581–3583 (1997).

[CrossRef]

G. S. Kino, “Near-field optical storage,” Opt. Photon. News 8(11), 38–39 (1997).

[CrossRef]

M. Mansuripur, G. Sincerbox, “Principles and techniques of optical data storage,” Proc. IEEE 85, 1780–1796 (1997).

[CrossRef]

A. Madrazo, M. Nieto-Vesperinas, “Model near field calculations for optical data storage readout,” Appl. Phys. Lett. 70, 31–33 (1997).

[CrossRef]

C. Girard, A. Dereux, “Near-field optics theories,” Rep. Prog. Phys. 59, 657–699 (1996).

[CrossRef]

J. B. Judkins, C. W. Haggans, R. W. Ziolkowski, “Two-dimensional finite-difference time-domain simulation for rewritable optical disk surface structure design,” Appl. Opt. 35, 2477–2487 (1996).

[CrossRef]
[PubMed]

B. D. Terris, H. J. Mamin, D. Rugar, “Near-field optical data storage,” Appl. Phys. Lett. 68, 141–143 (1996).

[CrossRef]

B.-N. Jiang, J. Wu, L. A. Povinelli, “The origin of spurious solutions in computational electromagnetics,” J. Comput. Phys. 125, 104–123 (1996).

[CrossRef]

M. Ogawa, M. Nakada, R. Katayama, M. Okada, M. Itoh, “Analysis of scattering light from magnetic material with land/groove by three-dimensional boundary element method,” Jpn. J. Appl. Phys. 35, 336–341 (1996).

[CrossRef]

A. Madrazo, M. Nieto-Vesperinas, “Surface structure and polariton interactions in the scattering of electromagnetic wave from a cylinder in front of a conducting grating: theory for the reflection photon scanning tunneling microscope,” J. Opt. Soc. Am. A 13, 785–795 (1996).

[CrossRef]

J. J. Grefet, A. Sentenac, R. Carminati, “Surface profile reconstruction using near-field data,” Opt. Commun. 116, 20–24 (1995).

[CrossRef]

R. E. Gerber, M. Mansuripur, “Dependence of the tracking performance of an optical disk on the direction of the incident-light polarization,” Appl. Opt. 34, 8192–8200 (1995).

[CrossRef]
[PubMed]

J. B. Judkins, R. W. Ziolkowski, “Finite-difference time-domain modeling of nonperfectly conducting metallic thin-film grating,” J. Opt. Soc. Am. A 12, 1974–1983 (1995).

[CrossRef]

D. Courjon, C. Bainier, “Near field microscopy and near field optics,” Rep. Prog. Phys. 57, 989–1028 (1994).

[CrossRef]

B. D. Terris, H. J. Mamin, D. Rugar, W. R. Studenmund, G. S. Kino, “Near-field optical data storage using a solid immersion lens,” Appl. Phys. Lett. 65, 388–390 (1994).

[CrossRef]

K. D. Paulsen, “Finite-element solution of Maxwell’s equations with Helmholtz forms,” J. Opt. Soc. Am. A 11, 1434–1444 (1994).

[CrossRef]

R. Depine, D. Skigin, “Scattering from metallic surfaces having a finite number of rectangular grooves,” J. Opt. Soc. Am. A 11, 2844–2850 (1994).

[CrossRef]

Y.-L. Kok, “Boundary-value solution to electromagnetic scattering by a rectangular groove in a ground plane,” J. Opt. Soc. Am. A 9, 302–311 (1992).

[CrossRef]

E. Betzig, J. K. Trautman, R. Wolfe, E. M. Gyorgy, P. L. Finn, M. H. Kryder, C.-H. Chang, “Near-field magneto-optics and high density data storage,” Appl. Phys. Lett. 61, 142–144 (1992).

[CrossRef]

H. Ooki, “Vector diffraction theory for magnetooptical disc systems,” Optik 89, 15–22 (1991).

T. Kojima, J. Ido, “Boundary-element method analysis of light-beam scattering and the sum and differential signal output by DRAW-type optical disk models,” Electron. Commun. Jpn. Part 2 Electron. 74, 11–19 (1991).

[CrossRef]

Y. Miyazaki, K. Manabe, “Scattered near-field and induced current of a beam wave by pits on optical disks using boundary element analysis,” Radio Sci. 26, 281–289 (1991).

[CrossRef]

P. N. Swarztrauber, R. A. Sweet, “Vector and parallel methods for the direct solution of Poisson’s equation,” J. Comput. Appl. Math. 27, 241–263 (1989).

[CrossRef]

E. Gallopoulos, Y. Saad, “A parallel block cyclic reduction algorithm for the fast solution of elliptic equations,” Parallel Comput. 10, 143–159 (1989).

[CrossRef]

R. L. Higdon, “Numerical absorbing boundary conditions for the wave equation,” Math. Comput. 49, 65–90 (1987).

[CrossRef]

R. L. Higdon, “Absorbing boundary conditions for difference approximations to the multi-dimensional wave equation,” Math. Comput. 47, 437–459 (1986).

Y. Saad, M. H. Schultz, “GMRES: a general minimal residual algorithm for solving nonsymmetric linear systems,” SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput. 7, 856–869 (1986).

[CrossRef]

G. Mur, “Absorbing boundary conditions for the finite-difference approximation of the time-domain electromagnetic-field equations,” IEEE Trans. Electromagn. Compat. EMC-23, 377–382 (1981).

[CrossRef]

B. Engquist, A. Majda, “Absorbing boundary conditions for the numerical simulation of waves,” Math. Comput. 31, 629–651 (1977).

[CrossRef]

P. N. Swarztrauber, “The methods of cyclic reduction, Fourier analysis and the FACR algorithm for the discrete solution of Poisson’s equation on a rectangle,” SIAM (Soc. Ind. Appl. Math.) Rev. 19, 490–501 (1977).

R. A. Sweet, “A cyclic reduction algorithm for solving block tridiagonal systems of arbitrary dimension,” SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 14, 706–720 (1977).

[CrossRef]

P. Concus, G. H. Golub, “Use of fast direct methods for the efficient numerical solution of nonseparable elliptic equations,” SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 10, 1103–1120 (1973).

[CrossRef]

B. L. Buzbee, G. H. Golub, C. W. Nielson, “On direct methods for solving Poisson’s equations,” SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 7, 627–656 (1970).

[CrossRef]

K. S. Yee, “Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media,” IEEE Trans. Antennas Propag. AP-14, 302–307 (1966).

J. Bae, T. Okamoto, T. Fujii, K. Mizuno, T. Nozokido, “Experimental demonstration for scanning near-field optical microscopy using a metal micro-slit probe at millimeter wavelengths,” Appl. Phys. Lett. 71, 3581–3583 (1997).

[CrossRef]

D. Courjon, C. Bainier, “Near field microscopy and near field optics,” Rep. Prog. Phys. 57, 989–1028 (1994).

[CrossRef]

C. D. Dimitropoulos, A. N. Beris, “An efficient and robust spectral solver for nonseparable elliptic equations,” J. Comput. Phys. 133, 186–191 (1997).

[CrossRef]

E. Betzig, J. K. Trautman, R. Wolfe, E. M. Gyorgy, P. L. Finn, M. H. Kryder, C.-H. Chang, “Near-field magneto-optics and high density data storage,” Appl. Phys. Lett. 61, 142–144 (1992).

[CrossRef]

G. Bouwhuis, J. Braat, A. Huijser, J. Pasman, G. van Rosmalen, K. S. Immink, Principles of Optical Disc Systems (Hilger, Bristol, UK, 1985).

G. Bouwhuis, J. Braat, A. Huijser, J. Pasman, G. van Rosmalen, K. S. Immink, Principles of Optical Disc Systems (Hilger, Bristol, UK, 1985).

B. L. Buzbee, G. H. Golub, C. W. Nielson, “On direct methods for solving Poisson’s equations,” SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 7, 627–656 (1970).

[CrossRef]

J. J. Grefet, A. Sentenac, R. Carminati, “Surface profile reconstruction using near-field data,” Opt. Commun. 116, 20–24 (1995).

[CrossRef]

E. Betzig, J. K. Trautman, R. Wolfe, E. M. Gyorgy, P. L. Finn, M. H. Kryder, C.-H. Chang, “Near-field magneto-optics and high density data storage,” Appl. Phys. Lett. 61, 142–144 (1992).

[CrossRef]

P. Concus, G. H. Golub, “Use of fast direct methods for the efficient numerical solution of nonseparable elliptic equations,” SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 10, 1103–1120 (1973).

[CrossRef]

D. Courjon, C. Bainier, “Near field microscopy and near field optics,” Rep. Prog. Phys. 57, 989–1028 (1994).

[CrossRef]

C. Girard, A. Dereux, “Near-field optics theories,” Rep. Prog. Phys. 59, 657–699 (1996).

[CrossRef]

C. D. Dimitropoulos, A. N. Beris, “An efficient and robust spectral solver for nonseparable elliptic equations,” J. Comput. Phys. 133, 186–191 (1997).

[CrossRef]

B. Engquist, A. Majda, “Radiation boundary conditions for acoustic and elastic wave calculations,” Commun. Pure Appl. Math. 32, 313–357 (1979).

[CrossRef]

B. Engquist, A. Majda, “Absorbing boundary conditions for the numerical simulation of waves,” Math. Comput. 31, 629–651 (1977).

[CrossRef]

J. P. Fillard, Near Field Optics and Nanoscopy (World Scientific, Singapore, 1996).

[CrossRef]

E. Betzig, J. K. Trautman, R. Wolfe, E. M. Gyorgy, P. L. Finn, M. H. Kryder, C.-H. Chang, “Near-field magneto-optics and high density data storage,” Appl. Phys. Lett. 61, 142–144 (1992).

[CrossRef]

J. Bae, T. Okamoto, T. Fujii, K. Mizuno, T. Nozokido, “Experimental demonstration for scanning near-field optical microscopy using a metal micro-slit probe at millimeter wavelengths,” Appl. Phys. Lett. 71, 3581–3583 (1997).

[CrossRef]

E. Gallopoulos, Y. Saad, “A parallel block cyclic reduction algorithm for the fast solution of elliptic equations,” Parallel Comput. 10, 143–159 (1989).

[CrossRef]

C. Girard, A. Dereux, “Near-field optics theories,” Rep. Prog. Phys. 59, 657–699 (1996).

[CrossRef]

P. Concus, G. H. Golub, “Use of fast direct methods for the efficient numerical solution of nonseparable elliptic equations,” SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 10, 1103–1120 (1973).

[CrossRef]

B. L. Buzbee, G. H. Golub, C. W. Nielson, “On direct methods for solving Poisson’s equations,” SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 7, 627–656 (1970).

[CrossRef]

J. J. Grefet, A. Sentenac, R. Carminati, “Surface profile reconstruction using near-field data,” Opt. Commun. 116, 20–24 (1995).

[CrossRef]

E. Betzig, J. K. Trautman, R. Wolfe, E. M. Gyorgy, P. L. Finn, M. H. Kryder, C.-H. Chang, “Near-field magneto-optics and high density data storage,” Appl. Phys. Lett. 61, 142–144 (1992).

[CrossRef]

R. L. Higdon, “Numerical absorbing boundary conditions for the wave equation,” Math. Comput. 49, 65–90 (1987).

[CrossRef]

R. L. Higdon, “Absorbing boundary conditions for difference approximations to the multi-dimensional wave equation,” Math. Comput. 47, 437–459 (1986).

G. Bouwhuis, J. Braat, A. Huijser, J. Pasman, G. van Rosmalen, K. S. Immink, Principles of Optical Disc Systems (Hilger, Bristol, UK, 1985).

T. Kojima, J. Ido, “Boundary-element method analysis of light-beam scattering and the sum and differential signal output by DRAW-type optical disk models,” Electron. Commun. Jpn. Part 2 Electron. 74, 11–19 (1991).

[CrossRef]

G. Bouwhuis, J. Braat, A. Huijser, J. Pasman, G. van Rosmalen, K. S. Immink, Principles of Optical Disc Systems (Hilger, Bristol, UK, 1985).

M. Ogawa, M. Nakada, R. Katayama, M. Okada, M. Itoh, “Analysis of scattering light from magnetic material with land/groove by three-dimensional boundary element method,” Jpn. J. Appl. Phys. 35, 336–341 (1996).

[CrossRef]

B.-N. Jiang, J. Wu, L. A. Povinelli, “The origin of spurious solutions in computational electromagnetics,” J. Comput. Phys. 125, 104–123 (1996).

[CrossRef]

M. Ogawa, M. Nakada, R. Katayama, M. Okada, M. Itoh, “Analysis of scattering light from magnetic material with land/groove by three-dimensional boundary element method,” Jpn. J. Appl. Phys. 35, 336–341 (1996).

[CrossRef]

G. S. Kino, “Near-field optical storage,” Opt. Photon. News 8(11), 38–39 (1997).

[CrossRef]

B. D. Terris, H. J. Mamin, D. Rugar, W. R. Studenmund, G. S. Kino, “Near-field optical data storage using a solid immersion lens,” Appl. Phys. Lett. 65, 388–390 (1994).

[CrossRef]

K. Kobayashi, “Vector diffraction modeling: polarization dependence of optical read-out/servo signals,” Jpn. J. Appl. Phys. 32, 3175–3184 (1993).

[CrossRef]

T. Kojima, J. Ido, “Boundary-element method analysis of light-beam scattering and the sum and differential signal output by DRAW-type optical disk models,” Electron. Commun. Jpn. Part 2 Electron. 74, 11–19 (1991).

[CrossRef]

E. Betzig, J. K. Trautman, R. Wolfe, E. M. Gyorgy, P. L. Finn, M. H. Kryder, C.-H. Chang, “Near-field magneto-optics and high density data storage,” Appl. Phys. Lett. 61, 142–144 (1992).

[CrossRef]

B. Engquist, A. Majda, “Radiation boundary conditions for acoustic and elastic wave calculations,” Commun. Pure Appl. Math. 32, 313–357 (1979).

[CrossRef]

B. Engquist, A. Majda, “Absorbing boundary conditions for the numerical simulation of waves,” Math. Comput. 31, 629–651 (1977).

[CrossRef]

B. D. Terris, H. J. Mamin, D. Rugar, “Near-field optical data storage,” Appl. Phys. Lett. 68, 141–143 (1996).

[CrossRef]

B. D. Terris, H. J. Mamin, D. Rugar, W. R. Studenmund, G. S. Kino, “Near-field optical data storage using a solid immersion lens,” Appl. Phys. Lett. 65, 388–390 (1994).

[CrossRef]

Y. Miyazaki, K. Manabe, “Scattered near-field and induced current of a beam wave by pits on optical disks using boundary element analysis,” Radio Sci. 26, 281–289 (1991).

[CrossRef]

M. Mansuripur, G. Sincerbox, “Principles and techniques of optical data storage,” Proc. IEEE 85, 1780–1796 (1997).

[CrossRef]

R. E. Gerber, M. Mansuripur, “Dependence of the tracking performance of an optical disk on the direction of the incident-light polarization,” Appl. Opt. 34, 8192–8200 (1995).

[CrossRef]
[PubMed]

M. Mansuripur, The Physical Principles of Magneto-Optical Recording (Cambridge U. Press, New York, 1995).

[CrossRef]

A. B. Marchant, Optical Recording: A Technical Overview (Addison-Wesley, Reading, Mass., 1990).

Y. Miyazaki, K. Manabe, “Scattered near-field and induced current of a beam wave by pits on optical disks using boundary element analysis,” Radio Sci. 26, 281–289 (1991).

[CrossRef]

J. Bae, T. Okamoto, T. Fujii, K. Mizuno, T. Nozokido, “Experimental demonstration for scanning near-field optical microscopy using a metal micro-slit probe at millimeter wavelengths,” Appl. Phys. Lett. 71, 3581–3583 (1997).

[CrossRef]

M. A. Paesler, P. J. Moyer, Near-Field Optics: Theory, Instrumentation, and Applications (Wiley, New York, 1996).

G. Mur, “Absorbing boundary conditions for the finite-difference approximation of the time-domain electromagnetic-field equations,” IEEE Trans. Electromagn. Compat. EMC-23, 377–382 (1981).

[CrossRef]

M. Ogawa, M. Nakada, R. Katayama, M. Okada, M. Itoh, “Analysis of scattering light from magnetic material with land/groove by three-dimensional boundary element method,” Jpn. J. Appl. Phys. 35, 336–341 (1996).

[CrossRef]

B. L. Buzbee, G. H. Golub, C. W. Nielson, “On direct methods for solving Poisson’s equations,” SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 7, 627–656 (1970).

[CrossRef]

J. Bae, T. Okamoto, T. Fujii, K. Mizuno, T. Nozokido, “Experimental demonstration for scanning near-field optical microscopy using a metal micro-slit probe at millimeter wavelengths,” Appl. Phys. Lett. 71, 3581–3583 (1997).

[CrossRef]

M. Ogawa, M. Nakada, R. Katayama, M. Okada, M. Itoh, “Analysis of scattering light from magnetic material with land/groove by three-dimensional boundary element method,” Jpn. J. Appl. Phys. 35, 336–341 (1996).

[CrossRef]

M. Ogawa, M. Nakada, R. Katayama, M. Okada, M. Itoh, “Analysis of scattering light from magnetic material with land/groove by three-dimensional boundary element method,” Jpn. J. Appl. Phys. 35, 336–341 (1996).

[CrossRef]

J. Bae, T. Okamoto, T. Fujii, K. Mizuno, T. Nozokido, “Experimental demonstration for scanning near-field optical microscopy using a metal micro-slit probe at millimeter wavelengths,” Appl. Phys. Lett. 71, 3581–3583 (1997).

[CrossRef]

H. Ooki, “Vector diffraction theory for magnetooptical disc systems,” Optik 89, 15–22 (1991).

M. A. Paesler, P. J. Moyer, Near-Field Optics: Theory, Instrumentation, and Applications (Wiley, New York, 1996).

G. Bouwhuis, J. Braat, A. Huijser, J. Pasman, G. van Rosmalen, K. S. Immink, Principles of Optical Disc Systems (Hilger, Bristol, UK, 1985).

B.-N. Jiang, J. Wu, L. A. Povinelli, “The origin of spurious solutions in computational electromagnetics,” J. Comput. Phys. 125, 104–123 (1996).

[CrossRef]

B. D. Terris, H. J. Mamin, D. Rugar, “Near-field optical data storage,” Appl. Phys. Lett. 68, 141–143 (1996).

[CrossRef]

B. D. Terris, H. J. Mamin, D. Rugar, W. R. Studenmund, G. S. Kino, “Near-field optical data storage using a solid immersion lens,” Appl. Phys. Lett. 65, 388–390 (1994).

[CrossRef]

E. Gallopoulos, Y. Saad, “A parallel block cyclic reduction algorithm for the fast solution of elliptic equations,” Parallel Comput. 10, 143–159 (1989).

[CrossRef]

Y. Saad, M. H. Schultz, “GMRES: a general minimal residual algorithm for solving nonsymmetric linear systems,” SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput. 7, 856–869 (1986).

[CrossRef]

Y. Saad, M. H. Schultz, “GMRES: a general minimal residual algorithm for solving nonsymmetric linear systems,” SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput. 7, 856–869 (1986).

[CrossRef]

J. J. Grefet, A. Sentenac, R. Carminati, “Surface profile reconstruction using near-field data,” Opt. Commun. 116, 20–24 (1995).

[CrossRef]

O. W. Shih, “Near-field diffraction by a slit in a thick perfectly conducting screen flying above a magneto-optical disk,” J. Appl. Phys. 84, 6485–6498 (1998).

[CrossRef]

M. Mansuripur, G. Sincerbox, “Principles and techniques of optical data storage,” Proc. IEEE 85, 1780–1796 (1997).

[CrossRef]

B. D. Terris, H. J. Mamin, D. Rugar, W. R. Studenmund, G. S. Kino, “Near-field optical data storage using a solid immersion lens,” Appl. Phys. Lett. 65, 388–390 (1994).

[CrossRef]

P. N. Swarztrauber, R. A. Sweet, “Vector and parallel methods for the direct solution of Poisson’s equation,” J. Comput. Appl. Math. 27, 241–263 (1989).

[CrossRef]

P. N. Swarztrauber, “The methods of cyclic reduction, Fourier analysis and the FACR algorithm for the discrete solution of Poisson’s equation on a rectangle,” SIAM (Soc. Ind. Appl. Math.) Rev. 19, 490–501 (1977).

P. N. Swarztrauber, R. A. Sweet, “Vector and parallel methods for the direct solution of Poisson’s equation,” J. Comput. Appl. Math. 27, 241–263 (1989).

[CrossRef]

R. A. Sweet, “A cyclic reduction algorithm for solving block tridiagonal systems of arbitrary dimension,” SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 14, 706–720 (1977).

[CrossRef]

B. D. Terris, H. J. Mamin, D. Rugar, “Near-field optical data storage,” Appl. Phys. Lett. 68, 141–143 (1996).

[CrossRef]

B. D. Terris, H. J. Mamin, D. Rugar, W. R. Studenmund, G. S. Kino, “Near-field optical data storage using a solid immersion lens,” Appl. Phys. Lett. 65, 388–390 (1994).

[CrossRef]

E. Betzig, J. K. Trautman, R. Wolfe, E. M. Gyorgy, P. L. Finn, M. H. Kryder, C.-H. Chang, “Near-field magneto-optics and high density data storage,” Appl. Phys. Lett. 61, 142–144 (1992).

[CrossRef]

G. Bouwhuis, J. Braat, A. Huijser, J. Pasman, G. van Rosmalen, K. S. Immink, Principles of Optical Disc Systems (Hilger, Bristol, UK, 1985).

E. Betzig, J. K. Trautman, R. Wolfe, E. M. Gyorgy, P. L. Finn, M. H. Kryder, C.-H. Chang, “Near-field magneto-optics and high density data storage,” Appl. Phys. Lett. 61, 142–144 (1992).

[CrossRef]

B.-N. Jiang, J. Wu, L. A. Povinelli, “The origin of spurious solutions in computational electromagnetics,” J. Comput. Phys. 125, 104–123 (1996).

[CrossRef]

K. S. Yee, “Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media,” IEEE Trans. Antennas Propag. AP-14, 302–307 (1966).

J. B. Judkins, C. W. Haggans, R. W. Ziolkowski, “Two-dimensional finite-difference time-domain simulation for rewritable optical disk surface structure design,” Appl. Opt. 35, 2477–2487 (1996).

[CrossRef]
[PubMed]

D. S. Marx, D. Psaltis, “Polarization quadrature measurement of subwavelength diffracting structures,” Appl. Opt. 36, 6434–6440 (1997).

[CrossRef]

R. E. Gerber, M. Mansuripur, “Dependence of the tracking performance of an optical disk on the direction of the incident-light polarization,” Appl. Opt. 34, 8192–8200 (1995).

[CrossRef]
[PubMed]

E. Betzig, J. K. Trautman, R. Wolfe, E. M. Gyorgy, P. L. Finn, M. H. Kryder, C.-H. Chang, “Near-field magneto-optics and high density data storage,” Appl. Phys. Lett. 61, 142–144 (1992).

[CrossRef]

J. Bae, T. Okamoto, T. Fujii, K. Mizuno, T. Nozokido, “Experimental demonstration for scanning near-field optical microscopy using a metal micro-slit probe at millimeter wavelengths,” Appl. Phys. Lett. 71, 3581–3583 (1997).

[CrossRef]

A. Madrazo, M. Nieto-Vesperinas, “Model near field calculations for optical data storage readout,” Appl. Phys. Lett. 70, 31–33 (1997).

[CrossRef]

B. D. Terris, H. J. Mamin, D. Rugar, W. R. Studenmund, G. S. Kino, “Near-field optical data storage using a solid immersion lens,” Appl. Phys. Lett. 65, 388–390 (1994).

[CrossRef]

B. D. Terris, H. J. Mamin, D. Rugar, “Near-field optical data storage,” Appl. Phys. Lett. 68, 141–143 (1996).

[CrossRef]

B. Engquist, A. Majda, “Radiation boundary conditions for acoustic and elastic wave calculations,” Commun. Pure Appl. Math. 32, 313–357 (1979).

[CrossRef]

T. Kojima, J. Ido, “Boundary-element method analysis of light-beam scattering and the sum and differential signal output by DRAW-type optical disk models,” Electron. Commun. Jpn. Part 2 Electron. 74, 11–19 (1991).

[CrossRef]

K. S. Yee, “Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media,” IEEE Trans. Antennas Propag. AP-14, 302–307 (1966).

G. Mur, “Absorbing boundary conditions for the finite-difference approximation of the time-domain electromagnetic-field equations,” IEEE Trans. Electromagn. Compat. EMC-23, 377–382 (1981).

[CrossRef]

O. W. Shih, “Near-field diffraction by a slit in a thick perfectly conducting screen flying above a magneto-optical disk,” J. Appl. Phys. 84, 6485–6498 (1998).

[CrossRef]

P. N. Swarztrauber, R. A. Sweet, “Vector and parallel methods for the direct solution of Poisson’s equation,” J. Comput. Appl. Math. 27, 241–263 (1989).

[CrossRef]

C. D. Dimitropoulos, A. N. Beris, “An efficient and robust spectral solver for nonseparable elliptic equations,” J. Comput. Phys. 133, 186–191 (1997).

[CrossRef]

B.-N. Jiang, J. Wu, L. A. Povinelli, “The origin of spurious solutions in computational electromagnetics,” J. Comput. Phys. 125, 104–123 (1996).

[CrossRef]

D. S. Marx, D. Psaltis, “Optical diffraction of focused spots and subwavelength structures,” J. Opt. Soc. Am. A 14, 1268–1278 (1997).

[CrossRef]

K. Hirayama, E. Glytsis, T. Gaylord, “Rigorous electromagnetic analysis of diffraction by finite-number-of-periods gratings,” J. Opt. Soc. Am. A 14, 907–917 (1997).

[CrossRef]

T. Park, H. Eom, K. Yoshitomi, “Analysis of TM scattering from finite rectangular grooves in a conducting plane,” J. Opt. Soc. Am. A 10, 905–911 (1993).

[CrossRef]

O. Mata-Mendez, J. Sumaya-Martinez, “Scattering of TE-polarized waves by a finite grating: giant resonant enhancement of the electric field within the grooves,” J. Opt. Soc. Am. A 14, 2203–2211 (1997).

[CrossRef]

K. D. Paulsen, “Finite-element solution of Maxwell’s equations with Helmholtz forms,” J. Opt. Soc. Am. A 11, 1434–1444 (1994).

[CrossRef]

R. Depine, D. Skigin, “Scattering from metallic surfaces having a finite number of rectangular grooves,” J. Opt. Soc. Am. A 11, 2844–2850 (1994).

[CrossRef]

J. B. Judkins, R. W. Ziolkowski, “Finite-difference time-domain modeling of nonperfectly conducting metallic thin-film grating,” J. Opt. Soc. Am. A 12, 1974–1983 (1995).

[CrossRef]

Y.-L. Kok, “Boundary-value solution to electromagnetic scattering by a rectangular groove in a ground plane,” J. Opt. Soc. Am. A 9, 302–311 (1992).

[CrossRef]

A. Madrazo, M. Nieto-Vesperinas, “Surface structure and polariton interactions in the scattering of electromagnetic wave from a cylinder in front of a conducting grating: theory for the reflection photon scanning tunneling microscope,” J. Opt. Soc. Am. A 13, 785–795 (1996).

[CrossRef]

K. Kobayashi, “Vector diffraction modeling: polarization dependence of optical read-out/servo signals,” Jpn. J. Appl. Phys. 32, 3175–3184 (1993).

[CrossRef]

M. Ogawa, M. Nakada, R. Katayama, M. Okada, M. Itoh, “Analysis of scattering light from magnetic material with land/groove by three-dimensional boundary element method,” Jpn. J. Appl. Phys. 35, 336–341 (1996).

[CrossRef]

B. Engquist, A. Majda, “Absorbing boundary conditions for the numerical simulation of waves,” Math. Comput. 31, 629–651 (1977).

[CrossRef]

R. L. Higdon, “Absorbing boundary conditions for difference approximations to the multi-dimensional wave equation,” Math. Comput. 47, 437–459 (1986).

R. L. Higdon, “Numerical absorbing boundary conditions for the wave equation,” Math. Comput. 49, 65–90 (1987).

[CrossRef]

J. J. Grefet, A. Sentenac, R. Carminati, “Surface profile reconstruction using near-field data,” Opt. Commun. 116, 20–24 (1995).

[CrossRef]

G. S. Kino, “Near-field optical storage,” Opt. Photon. News 8(11), 38–39 (1997).

[CrossRef]

H. Ooki, “Vector diffraction theory for magnetooptical disc systems,” Optik 89, 15–22 (1991).

E. Gallopoulos, Y. Saad, “A parallel block cyclic reduction algorithm for the fast solution of elliptic equations,” Parallel Comput. 10, 143–159 (1989).

[CrossRef]

M. Mansuripur, G. Sincerbox, “Principles and techniques of optical data storage,” Proc. IEEE 85, 1780–1796 (1997).

[CrossRef]

Y. Miyazaki, K. Manabe, “Scattered near-field and induced current of a beam wave by pits on optical disks using boundary element analysis,” Radio Sci. 26, 281–289 (1991).

[CrossRef]

D. Courjon, C. Bainier, “Near field microscopy and near field optics,” Rep. Prog. Phys. 57, 989–1028 (1994).

[CrossRef]

C. Girard, A. Dereux, “Near-field optics theories,” Rep. Prog. Phys. 59, 657–699 (1996).

[CrossRef]

P. Concus, G. H. Golub, “Use of fast direct methods for the efficient numerical solution of nonseparable elliptic equations,” SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 10, 1103–1120 (1973).

[CrossRef]

B. L. Buzbee, G. H. Golub, C. W. Nielson, “On direct methods for solving Poisson’s equations,” SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 7, 627–656 (1970).

[CrossRef]

R. A. Sweet, “A cyclic reduction algorithm for solving block tridiagonal systems of arbitrary dimension,” SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 14, 706–720 (1977).

[CrossRef]

Y. Saad, M. H. Schultz, “GMRES: a general minimal residual algorithm for solving nonsymmetric linear systems,” SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput. 7, 856–869 (1986).

[CrossRef]

P. N. Swarztrauber, “The methods of cyclic reduction, Fourier analysis and the FACR algorithm for the discrete solution of Poisson’s equation on a rectangle,” SIAM (Soc. Ind. Appl. Math.) Rev. 19, 490–501 (1977).

M. A. Paesler, P. J. Moyer, Near-Field Optics: Theory, Instrumentation, and Applications (Wiley, New York, 1996).

J. P. Fillard, Near Field Optics and Nanoscopy (World Scientific, Singapore, 1996).

[CrossRef]

M. W. Kowarz, “Diffraction effects in the near field,” Ph.D. dissertation (University of Rochester, Rochester, N.Y., 1995).

G. Bouwhuis, J. Braat, A. Huijser, J. Pasman, G. van Rosmalen, K. S. Immink, Principles of Optical Disc Systems (Hilger, Bristol, UK, 1985).

A. B. Marchant, Optical Recording: A Technical Overview (Addison-Wesley, Reading, Mass., 1990).

M. Mansuripur, The Physical Principles of Magneto-Optical Recording (Cambridge U. Press, New York, 1995).

[CrossRef]