메뉴 건너뛰기




Volumn 23, Issue 3, 2006, Pages 691-700

Nonparaxial fields with maximum joint spatial-directional localization. I. Scalar case

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; ELECTROMAGNETIC FIELDS; OPTICS;

EID: 33645413208     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.23.000691     Document Type: Article
Times cited : (16)

References (21)
  • 1
    • 0025546679 scopus 로고
    • "New developments in laser resonators"
    • D. A. Holmes, ed., Proc. SPIE
    • A. E. Siegman, "New developments in laser resonators," in Optical Resonators, D. A. Holmes, ed., Proc. SPIE 1224, 2-14 (1990).
    • (1990) Optical Resonators , vol.1224 , pp. 2-14
    • Siegman, A.E.1
  • 2
    • 0028517497 scopus 로고
    • "The best quality optical beam beyond the paraxial approximation"
    • M. A. Porras, "The best quality optical beam beyond the paraxial approximation," Opt. Commun. 111, 338-349 (1994).
    • (1994) Opt. Commun. , vol.111 , pp. 338-349
    • Porras, M.A.1
  • 3
    • 0038639588 scopus 로고    scopus 로고
    • "Uncertainty products for nonparaxial wave fields"
    • M. A. Alonso and G. W. Forbes, "Uncertainty products for nonparaxial wave fields," J. Opt. Soc. Am. A 17, 2391-2402 (2000).
    • (2000) J. Opt. Soc. Am. A , vol.17 , pp. 2391-2402
    • Alonso, M.A.1    Forbes, G.W.2
  • 4
    • 21844517099 scopus 로고
    • "Mean value and uncertainty in optical phase - A simple mechanical analogy"
    • T. Opatrný, "Mean value and uncertainty in optical phase - a simple mechanical analogy," J. Phys. A 27, 7201-7208 (1994).
    • (1994) J. Phys. A , vol.27 , pp. 7201-7208
    • Opatrný, T.1
  • 5
    • 85015471369 scopus 로고    scopus 로고
    • "Measures of spread for periodic distributions and the associated uncertainty relations"
    • G. W. Forbes and M. A. Alonso, "Measures of spread for periodic distributions and the associated uncertainty relations," Am. J. Phys. 69, 340-347 (2001).
    • (2001) Am. J. Phys. , vol.69 , pp. 340-347
    • Forbes, G.W.1    Alonso, M.A.2
  • 6
    • 0000225206 scopus 로고
    • "Minimum uncertainty product, number-phase uncertainty product, and coherent states"
    • R. Jackiw, "Minimum uncertainty product, number-phase uncertainty product, and coherent states," J. Math. Phys. 9, 339-346 (1968).
    • (1968) J. Math. Phys. , vol.9 , pp. 339-346
    • Jackiw, R.1
  • 7
    • 0346268082 scopus 로고
    • "Phase and angle variables in quantum mechanics"
    • P. Carruthers and M. M. Nieto, "Phase and angle variables in quantum mechanics," Rev. Mod. Phys. 40, 411-440 (1968).
    • (1968) Rev. Mod. Phys. , vol.40 , pp. 411-440
    • Carruthers, P.1    Nieto, M.M.2
  • 8
    • 0001333713 scopus 로고
    • "Extended number state basis and number-phase intelligent states of light fields. I. Mapping and operator ordering approach to quantum phase problems"
    • A. Lukš and V. Peřinová, "Extended number state basis and number-phase intelligent states of light fields. I. Mapping and operator ordering approach to quantum phase problems," Czech. J. Phys. 41, 1205-1230 (1991).
    • (1991) Czech. J. Phys. , vol.41 , pp. 1205-1230
    • Lukš, A.1    Peřinová, V.2
  • 9
    • 0010210047 scopus 로고
    • "Number-phase uncertainty relations"
    • T. Opatrný, "Number-phase uncertainty relations," J. Phys. A 28, 6961-6975 (1995).
    • (1995) J. Phys. A , vol.28 , pp. 6961-6975
    • Opatrný, T.1
  • 10
    • 0038759688 scopus 로고    scopus 로고
    • "Uncertainty relations and minimum-uncertainty states for the discrete Fourier transform and the Fourier series"
    • G. W. Forbes, M. A. Alonso, and A. E. Siegman, "Uncertainty relations and minimum-uncertainty states for the discrete Fourier transform and the Fourier series," J. Phys. A 36, 7027-7047 (2003).
    • (2003) J. Phys. A , vol.36 , pp. 7027-7047
    • Forbes, G.W.1    Alonso, M.A.2    Siegman, A.E.3
  • 11
    • 0037630104 scopus 로고
    • "Invariant inner products on spaces of solutions of the Klein-Gordon and Helmholtz equations"
    • S. Steinberg and K. B. Wolf, "Invariant inner products on spaces of solutions of the Klein-Gordon and Helmholtz equations," J. Math. Phys. 22, 1660-1663 (1981).
    • (1981) J. Math. Phys. , vol.22 , pp. 1660-1663
    • Steinberg, S.1    Wolf, K.B.2
  • 12
    • 0037586474 scopus 로고    scopus 로고
    • "Measurement of Helmholtz wave fields"
    • M. A. Alonso, "Measurement of Helmholtz wave fields," J. Opt. Soc. Am. A 17, 1256-1264 (2000).
    • (2000) J. Opt. Soc. Am. A , vol.17 , pp. 1256-1264
    • Alonso, M.A.1
  • 13
    • 84975566414 scopus 로고
    • "Exact solutions for nondiffracting beams"
    • J. Durnin, "Exact solutions for nondiffracting beams," J. Opt. Soc. Am. A 4, 651-654 (1987).
    • (1987) J. Opt. Soc. Am. A , vol.4 , pp. 651-654
    • Durnin, J.1
  • 18
    • 4544352387 scopus 로고    scopus 로고
    • "On the angular-spectrum representation of multipole wavefields"
    • R. Borghi, "On the angular-spectrum representation of multipole wavefields," J. Opt. Soc. Am. A 21, 1805-1810 (2004).
    • (2004) J. Opt. Soc. Am. A , vol.21 , pp. 1805-1810
    • Borghi, R.1
  • 19
    • 0009547192 scopus 로고    scopus 로고
    • "High-aperture beams"
    • C. J. R. Sheppard, "High-aperture beams," J. Opt. Soc. Am. A 18, 1579-1587 (2001).
    • (2001) J. Opt. Soc. Am. A , vol.18 , pp. 1579-1587
    • Sheppard, C.J.R.1
  • 20
    • 84894020774 scopus 로고    scopus 로고
    • "Joint spatial-directional localization features of wave fields focused at a complex point"
    • (to be published)
    • M. Alonso, R. Borghi, and M. Santarsiero, "Joint spatial-directional localization features of wave fields focused at a complex point," J. Opt. Soc. Am. A (to be published).
    • J. Opt. Soc. Am. A
    • Alonso, M.1    Borghi, R.2    Santarsiero, M.3
  • 21
    • 33645401302 scopus 로고    scopus 로고
    • "Nonparaxial fields with maximum joint spatial-directional localization. II. Vectorial case"
    • M. Alonso, R. Borghi, and M. Santarsiero, "Nonparaxial fields with maximum joint spatial-directional localization. II. Vectorial case," J. Opt. Soc. Am. A 23, 701-712 (2006).
    • (2006) J. Opt. Soc. Am. A , vol.23 , pp. 701-712
    • Alonso, M.1    Borghi, R.2    Santarsiero, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.