H. M. Nussenzveig, "The Theory of the Rainbow," Sci. Am. 236, 116–127 (1977).

V. Khare and H. M. Nussenzveig, "Theory of the glory," Phys. Rev. Lett. 38, 1279–1282 (1977).

A. Ashkin and J. M. Dziedzic, "Observation of resonances in the radiation pressure on dielectric spheres," Phys. Rev. Lett. 38, 1351–1354 (1977).

M. V. Berry, "Waves and Thom's Theorem," Adv. Phys. 25, 1–26 (1976).

J. D. Walker, "Multiple rainbows from single drops of water and other liquids," Am. J. Phys. 44, 421–433 (1976).

V. Khare and H. M. Nussenzveig, "Theory of the rainbow," Phys. Rev. Lett. 33, 976–980 (1974).

J. V. Dave, "Scattering of visible light by large water spheres," Appl. Opt. 8, 155–164 (1969).

H. M. Nussenzveig, "High-frequency scattering by a transparent sphere, II. theory of the rainbow and the glory," J. Math. Phys. 10, 125–176 (1969).

H. M. Nussenzveig, "High-Frequency Scattering by a Transparent Sphere. I. Direct Reflection and Transmission," J. Math. Phys. 10, 82–124 (1969).

N. A. Logan, "Survey of Some Early Studies of the Scattering of Plane Waves by a Sphere," Proc. IEEE 53, 773–785 (1965).

H. M. Nussenzveig, "High-Frequency Scattering by an Impenetrable Sphere," Ann. Phys. (N.Y.) 34, 23–95 (1965).

P. Walstra, "Light Scattering by Dielectric Spheres: Data on the Ripple in the Extinction Curve," Proc. Koninki. Nederl. Akad. Wetensch. B 67, 491–499 (1964).

K. W. Ford and J. A. Wheeler, "Semiclassical Description of Scattering," Ann. Phys. (N.Y.) 7, 259–286 (1959).

C. Chester, B. Friedman and F. Ursell, "An Extension of the Method of Steepest Descents," Proc. Camb. Phil. Soc. 53, 599–611 (1957).

J. Bricard, "Contribution à l'Éude des Brouillards Naturels," Ann. Phys. 14, 148–236 (1940).

G. Mie, "Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen", Ann. Phys. (Leipzig) 25, 377–445 (1908).

P. J. Debye, "Das Elektromagnetische Feld um Einen Zylinder und die Theorie des Regenbogens," Physik. Z. 9, 775–778 (1908).

A. Ashkin and J. M. Dziedzic, "Observation of resonances in the radiation pressure on dielectric spheres," Phys. Rev. Lett. 38, 1351–1354 (1977).

M. V. Berry, "Waves and Thom's Theorem," Adv. Phys. 25, 1–26 (1976).

C. B. Boyer, The Rainbow: From Myth to Mathematics (Thomas Yoseloff, New York, 1959).

B. van der Pol and H. Bremmer, "The Diffraction of Electromagnetic Waves from an Electrical Point Source round a Finitely Conducting Sphere, with Applications to Radio-Telegraphy and the Theory of the Rainbow," Phil. Mag. 24, 141–176, 825–864 (1937); 25, 817–837 (1938).

J. Bricard, "Contribution à l'Éude des Brouillards Naturels," Ann. Phys. 14, 148–236 (1940).

C. Chester, B. Friedman and F. Ursell, "An Extension of the Method of Steepest Descents," Proc. Camb. Phil. Soc. 53, 599–611 (1957).

P. J. Debye, "Das Elektromagnetische Feld um Einen Zylinder und die Theorie des Regenbogens," Physik. Z. 9, 775–778 (1908).

A. Ashkin and J. M. Dziedzic, "Observation of resonances in the radiation pressure on dielectric spheres," Phys. Rev. Lett. 38, 1351–1354 (1977).

For the early history of the subject, cf. J. M. Pernter and F. M. Exner, Meteorologische Optik (Braumüller, Vienna, 1910).

V. A. Fock, Diffraction of Radio Waves Around the Earth's Surface (Publishers of the USSR Academy of Sciences, Moscow, 1946).

K. W. Ford and J. A. Wheeler, "Semiclassical Description of Scattering," Ann. Phys. (N.Y.) 7, 259–286 (1959).

W. Franz, Theorie der Beugung Elektromagnetischer Wellen (Springer-Verlag, Berlin, 1957).

C. Chester, B. Friedman and F. Ursell, "An Extension of the Method of Steepest Descents," Proc. Camb. Phil. Soc. 53, 599–611 (1957).

J. B. Keller, "A Geometrical Theory of Diffraction," in Calculus of Variations and its Applications, Proceedings of Symposia in Applied Mathematics, edited by L. M. Graves (McGraw-Hill, New York, 1958), Vol 8.

V. Khare and H. M. Nussenzveig, "Theory of the glory," Phys. Rev. Lett. 38, 1279–1282 (1977).

V. Khare and H. M. Nussenzveig, "Theory of the rainbow," Phys. Rev. Lett. 33, 976–980 (1974).

V. Khare, "Short-Wavelength Scattering of Electromagnetic Waves by a Homogeneous Dielectric Sphere," Ph.D. thesis, University of Rochester (1975) (unpublished).

V. Khare and H. M. Nussenzveig, (unpublished).

V. Khare and H. M. Nussenzveig, "The Theory of the Glory," in Statistical Mechanics and Statistical Methods in Theory and Application, edited by U. Landman (Plenum, New York, 1977), 723–764.

N. A. Logan, "Survey of Some Early Studies of the Scattering of Plane Waves by a Sphere," Proc. IEEE 53, 773–785 (1965).

G. Mie, "Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen", Ann. Phys. (Leipzig) 25, 377–445 (1908).

V. Khare and H. M. Nussenzveig, "Theory of the glory," Phys. Rev. Lett. 38, 1279–1282 (1977).

H. M. Nussenzveig, "The Theory of the Rainbow," Sci. Am. 236, 116–127 (1977).

V. Khare and H. M. Nussenzveig, "Theory of the rainbow," Phys. Rev. Lett. 33, 976–980 (1974).

H. M. Nussenzveig, "High-Frequency Scattering by a Transparent Sphere. I. Direct Reflection and Transmission," J. Math. Phys. 10, 82–124 (1969).

H. M. Nussenzveig, "High-frequency scattering by a transparent sphere, II. theory of the rainbow and the glory," J. Math. Phys. 10, 125–176 (1969).

H. M. Nussenzveig, "High-Frequency Scattering by an Impenetrable Sphere," Ann. Phys. (N.Y.) 34, 23–95 (1965).

V. Khare and H. M. Nussenzveig, (unpublished).

V. Khare and H. M. Nussenzveig, "The Theory of the Glory," in Statistical Mechanics and Statistical Methods in Theory and Application, edited by U. Landman (Plenum, New York, 1977), 723–764.

H. M. Nussenzveig, "Applications of Regge Poles to Short-Wavelength Scattering," in Methods and Problems of Theoretical Physics, edited by J. E. Bowcock (North-Holland, Amsterdam, 1970), p. 203–232.

H. M. Nussenzveig (unpublished).

H. M. Nussenzveig and W. J. Wiscombe, (unpublished).

For the early history of the subject, cf. J. M. Pernter and F. M. Exner, Meteorologische Optik (Braumüller, Vienna, 1910).

B. van der Pol and H. Bremmer, "The Diffraction of Electromagnetic Waves from an Electrical Point Source round a Finitely Conducting Sphere, with Applications to Radio-Telegraphy and the Theory of the Rainbow," Phil. Mag. 24, 141–176, 825–864 (1937); 25, 817–837 (1938).

A. Sommerfeld, Optics (Academic, New York, 1954), p. 247.

C. Chester, B. Friedman and F. Ursell, "An Extension of the Method of Steepest Descents," Proc. Camb. Phil. Soc. 53, 599–611 (1957).

J. D. Walker, "Multiple rainbows from single drops of water and other liquids," Am. J. Phys. 44, 421–433 (1976).

P. Walstra, "Light Scattering by Dielectric Spheres: Data on the Ripple in the Extinction Curve," Proc. Koninki. Nederl. Akad. Wetensch. B 67, 491–499 (1964).

K. W. Ford and J. A. Wheeler, "Semiclassical Description of Scattering," Ann. Phys. (N.Y.) 7, 259–286 (1959).

H. M. Nussenzveig and W. J. Wiscombe, (unpublished).

M. V. Berry, "Waves and Thom's Theorem," Adv. Phys. 25, 1–26 (1976).

J. D. Walker, "Multiple rainbows from single drops of water and other liquids," Am. J. Phys. 44, 421–433 (1976).

J. Bricard, "Contribution à l'Éude des Brouillards Naturels," Ann. Phys. 14, 148–236 (1940).

G. Mie, "Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen", Ann. Phys. (Leipzig) 25, 377–445 (1908).

H. M. Nussenzveig, "High-Frequency Scattering by an Impenetrable Sphere," Ann. Phys. (N.Y.) 34, 23–95 (1965).

K. W. Ford and J. A. Wheeler, "Semiclassical Description of Scattering," Ann. Phys. (N.Y.) 7, 259–286 (1959).

H. M. Nussenzveig, "High-Frequency Scattering by a Transparent Sphere. I. Direct Reflection and Transmission," J. Math. Phys. 10, 82–124 (1969).

H. M. Nussenzveig, "High-frequency scattering by a transparent sphere, II. theory of the rainbow and the glory," J. Math. Phys. 10, 125–176 (1969).

M. J. Saunders, "Near-field backscattering measurements from a microscopic water droplet," J. Opt. Soc. Am. 60, 1359–1365 (1970).

T. S. Fahlen and H. C. Bryant, "Optical back scattering from single water droplets," J. Opt. Soc. Am. 58, 304–310 (1968).

H. C. van de Hulst, "A Theory of the Anti-coronae," J. Opt. Soc. Am. 37, 16–22 (1947).

H. C. Bryant and A. J. Cox, "Mie theory and the glory," J. Opt. Soc. Am. 56, 1529–1532 (1966).

S. T. Shipley and J. A. Weinman, "A numerical study of scattering by large dielectric spheres," J. Opt. Soc. Am. 68, 130–134 (1978).

V. Khare and H. M. Nussenzveig, "Theory of the glory," Phys. Rev. Lett. 38, 1279–1282 (1977).

A. Ashkin and J. M. Dziedzic, "Observation of resonances in the radiation pressure on dielectric spheres," Phys. Rev. Lett. 38, 1351–1354 (1977).

V. Khare and H. M. Nussenzveig, "Theory of the rainbow," Phys. Rev. Lett. 33, 976–980 (1974).

P. J. Debye, "Das Elektromagnetische Feld um Einen Zylinder und die Theorie des Regenbogens," Physik. Z. 9, 775–778 (1908).

C. Chester, B. Friedman and F. Ursell, "An Extension of the Method of Steepest Descents," Proc. Camb. Phil. Soc. 53, 599–611 (1957).

N. A. Logan, "Survey of Some Early Studies of the Scattering of Plane Waves by a Sphere," Proc. IEEE 53, 773–785 (1965).

P. Walstra, "Light Scattering by Dielectric Spheres: Data on the Ripple in the Extinction Curve," Proc. Koninki. Nederl. Akad. Wetensch. B 67, 491–499 (1964).

H. M. Nussenzveig, "The Theory of the Rainbow," Sci. Am. 236, 116–127 (1977).

V. Khare, "Short-Wavelength Scattering of Electromagnetic Waves by a Homogeneous Dielectric Sphere," Ph.D. thesis, University of Rochester (1975) (unpublished).

V. Khare and H. M. Nussenzveig, (unpublished).

For rainbows formed very close to the backward direction there is an additional enhancement factor of θ(β^{1/2}) due to axial focusing (cf. Sec. III).

The contrary statement in Ref. 19 is an uncalled-for editorial insertion.

H. M. Nussenzveig (unpublished).

H. M. Nussenzveig and W. J. Wiscombe, (unpublished).

V. Khare and H. M. Nussenzveig, "The Theory of the Glory," in Statistical Mechanics and Statistical Methods in Theory and Application, edited by U. Landman (Plenum, New York, 1977), 723–764.

For the early history of the subject, cf. J. M. Pernter and F. M. Exner, Meteorologische Optik (Braumüller, Vienna, 1910).

W. Franz, Theorie der Beugung Elektromagnetischer Wellen (Springer-Verlag, Berlin, 1957).

J. B. Keller, "A Geometrical Theory of Diffraction," in Calculus of Variations and its Applications, Proceedings of Symposia in Applied Mathematics, edited by L. M. Graves (McGraw-Hill, New York, 1958), Vol 8.

V. A. Fock, Diffraction of Radio Waves Around the Earth's Surface (Publishers of the USSR Academy of Sciences, Moscow, 1946).

B. van der Pol and H. Bremmer, "The Diffraction of Electromagnetic Waves from an Electrical Point Source round a Finitely Conducting Sphere, with Applications to Radio-Telegraphy and the Theory of the Rainbow," Phil. Mag. 24, 141–176, 825–864 (1937); 25, 817–837 (1938).

A. Sommerfeld, Optics (Academic, New York, 1954), p. 247.

C. B. Boyer, The Rainbow: From Myth to Mathematics (Thomas Yoseloff, New York, 1959).

H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).

H. M. Nussenzveig, "Applications of Regge Poles to Short-Wavelength Scattering," in Methods and Problems of Theoretical Physics, edited by J. E. Bowcock (North-Holland, Amsterdam, 1970), p. 203–232.