Excitation efficiency of a morphology-dependent resonance by a focused Gaussian beam
JOSA A, Vol. 15, Issue 12, pp. 2986-2994 (1998)
http://dx.doi.org/10.1364/JOSAA.15.002986
Acrobat PDF (255 KB)
Abstract
The excitation efficiency of a morphology-dependent resonance (MDR) by an incident beam is defined as the fraction of the beam power channeled into the MDR. The efficiency is calculated for a focused Gaussian beam of arbitrary width incident on either a spherical particle or a cylindrical fiber located at an arbitrary position in the plane of the beam waist. In each case a simple formula for the efficiency is derived by use of the localized approximation for the beam-shape coefficients in the partial-wave expansion of the beam. The physical interpretation of the efficiency formulas is also discussed.
© 1998 Optical Society of America
OCIS Codes
(290.0290) Scattering : Scattering
(290.4020) Scattering : Mie theory
Citation
James A. Lock, "Excitation efficiency of a morphology-dependent resonance by a focused Gaussian beam," J. Opt. Soc. Am. A 15, 2986-2994 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-12-2986
Sort: Year | Journal | Reset
References
- H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981), pp. 208–209.
- H. M. Nussenzveig, “Tunneling effects in diffractive scattering and resonances,” Comments At. Mol. Phys. 4, 175–187 (1989).
- L. G. Guimaraes and H. M. Nussenzveig, “Theory of Mie resonances and ripple fluctuations,” Opt. Commun. 89, 363–369 (1992).
- B. R. Johnson, “Theory of morphology-dependent resonances: shape resonances and width formulas,” J. Opt. Soc. Am. A 10, 343–352 (1993).
- P. R. Conwell, P. W. Barber, and C. K. Rushforth, “Resonant spectra of dielectric spheres,” J. Opt. Soc. Am. A 1, 62–67 (1984).
- P. Chylek, J. D. Pendleton, and R. G. Pinnick, “Internal and near-surface scattered field of a spherical particle at resonant conditions,” Appl. Opt. 24, 3940–3942 (1985).
- P. Chylek, “Partial-wave resonances and the ripple structure in the Mie normalized extinction cross section,” J. Opt. Soc. Am. 66, 285–287 (1976).
- A. Ashkin and J. M. Dziedzic, “Observation of optical resonances of dielectric spheres by light scattering,” Appl. Opt. 20, 1803–1814 (1981).
- T. Baer, “Continuous-wave laser oscillation in a Nd:YAG sphere,” Opt. Lett. 12, 392–394 (1987).
- J.-Z. Zhang, D. H. Leach, and R. K. Chang, “Photon lifetime within a droplet: temporal determination of elastic and stimulated Raman scattering,” Opt. Lett. 13, 270–272 (1988).
- B. Maheu, G. Gréhan, and G. Gouesbet, “Ray localization in Gaussian beams,” Opt. Commun. 70, 259–262 (1989).
- J. P. Barton, D. R. Alexander, and S. A. Schaub, “Internal fields of a spherical particle illuminated by a tightly focused laser beam: focal point positioning effects at resonance,” J. Appl. Phys. 65, 2900–2906 (1989).
- E. E. M. Khaled, S. C. Hill, P. W. Barber, and D. Q. Chowdhury, “Near-resonance excitation of dielectric spheres with plane waves and off-axis Gaussian beams,” Appl. Opt. 31, 1166–1169 (1992).
- E. E. M. Khaled, S. C. Hill, and P. W. Barber, “Internal electric energy in a spherical particle illuminated with a plane wave or off-axis Gaussian beam,” Appl. Opt. 33, 524–532 (1994).
- J. A. Lock, “Improved Gaussian beam-scattering algorithm,” Appl. Opt. 34, 559–570 (1995).
- G. Gouesbet, G. Gréhan, and B. Maheu, “Localized interpretation to compute all the coefficients g_{nm} in the generalized Lorenz–Mie theory,” J. Opt. Soc. Am. A 7, 998–1007 (1990).
- J. A. Lock and G. Gouesbet, “Rigorous justification of the localized approximation to the beam-shape coefficients in generalized Lorenz–Mie theory. I. On-axis beams,” J. Opt. Soc. Am. A 11, 2503–2515 (1994).
- G. Gouesbet and J. A. Lock, “Rigorous justification of the localized approximation to the beam-shape coefficients in generalized Lorenz–Mie theory. II. Off-axis beams,” J. Opt. Soc. Am. A 11, 2516–2525 (1994).
- A. Serpenguzel, S. Arnold, G. Griffel, and J. A. Lock, “Enhanced coupling to microsphere resonances with optical fibers,” J. Opt. Soc. Am. B 14, 790–795 (1997).
- Equation (63) of Ref. 15 giving the optimal beam position for sphere MDR’s, is also valid for cylinder MDR’s since the calculation leading to Eq. (1.1) of C. C. Lam, P. T. Leung, and K. Young, “Explicit asymptotic formulas for the positions, widths, and strengths of resonances in Mie scattering,” J. Opt. Soc. Am. B 9, 1585–1592 (1992), on which the result of Ref. 15 is based, is valid for Bessel functions of both integer order (cylinders) and half-integer order (spheres).
- G. Gouesbet, B. Maheu, and G. Gréhan, “Light scattering from a sphere arbitrarily located in a Gaussian beam, using a Bromwich formulation,” J. Opt. Soc. Am. A 5, 1427–1443 (1988).
- A. Gray and G. B. Mathews, A Treatise on Bessel Functions and Their Applications to Physics (Dover, New York, 1966), p. 36.
- I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic, New York, 1965), p. 718, Eq. (6.633.4).
- H. Kogelnik and T. Li, “Laser beams and resonators,” Appl. Opt. 5, 1550–1567 (1966).
- M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (National Bureau of Standards, Washington, D.C., 1964), p. 378, Eqs. (9.8.1)–(9.8.4) along with the recursion relation of Eq. (9.6.26).
- M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (National Bureau of Standards, Washington, D.C., 1964), p. 375, Eq. (9.6.10).
- M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (National Bureau of Standards, Washington, D.C., 1964), p. 377, Eq. (9.7.1).
- P. Chylek, J. T. Kiehl, and M. K. W. Ko, “Optical levitation and partial wave resonances,” Phys. Rev. A 18, 2229–2233 (1978).
- P. M. Aker, P. A. Moortgat, and J.-X. Zhang, “Morphology-dependent stimulated Raman scattering imaging. 1. Theoretical aspects,” J. Chem. Phys. 105, 7268–7275 (1996).
- C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983), pp. 194–204.
- J. A. Lock, “Morphology-dependent resonances of an infinitely long circular cylinder illuminated by a diagonally incident plane wave or a focused Gaussian beam,” J. Opt. Soc. Am. A 14, 653–661 (1997).
- L. G. Guimaraes, J. P. Rodrigues, and F. de Mendonca, “Analysis of the resonant scattering of light by cylinders at oblique incidence,” Appl. Opt. 36, 8010–8019 (1997).
- J. A. Lock, “Scattering of a diagonally incident focused Gaussian beam by an infinitely long homogeneous circular cylinder,” J. Opt. Soc. Am. A 14, 640–652 (1997).
- Another localized approximation for the beam-shape coefficients for scattering by a cylinder is described in K. F. Ren, G. Gréhan, and G. Gouesbet, “Scattering of a Gaussian beam by an infinite cylinder in the framework of generalized Lorenz–Mie theory: formulation and numerical results,” J. Opt. Soc. Am. A 14, 3014–3025 (1997).
- S. C. Hill and R. E. Benner, “Morphology-dependent resonances,” in Optical Effects Associated with Small Particles, P. W. Barber and R. K. Chang, eds. (World Scientific, Singapore, 1988), pp. 3–61.
- I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic, New York, 1965), p. 307, Eq. (3.323.3).
- M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (National Bureau of Standards, Washington, D.C., 1964), p. 375, Eq. (9.6.9); p. 378, Eq. (9.7.2).
- I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic, New York, 1965), p. 307, Eq. (3.326).
- M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969), pp. 98–99, Figs. 4.1 and 4.2.
- The situation is described clearly in M. Kerker, P. J. McNulty, M. Sculley, H. Chew, and D. D. Cooke, “Raman and fluorescent scattering by molecules embedded in small particles: numerical results for incoherent optical processes,” J. Opt. Soc. Am. 68, 1676–1686 (1978).
- J. J. Sakurai, Advanced Quantum Mechanics (Addison-Wesley, Reading, Mass., 1980), pp. 36–57.
- G. Roll and G. Schweiger, “Resonance shift of obliquely illuminated dielectric cylinders,” Appl. Opt. 37, 5628–5630 (1998).
- H.-B. Lin, J. D. Eversole, A. J. Campillo, and J. P. Barton, “Excitation localization principle for spherical microcavities,” Opt. Lett. (to published).
Cited By |
Alert me when this paper is cited |
OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.
« Previous Article | Next Article »
OSA is a member of CrossRef.