1. Muscle, September 20041 Light Scattering predictions. G. Grehan L. Méès, S. Saengkaew, S. Meunier-Guttin-Cluzel

2. Muscle, September 20042 Rainbow: Far field scattering Fluorescence : Internal field

3. Muscle, September 20043 Theories Airy theory (1838): A scalar solution. Could be applied only close of rainbow Lorenz-Mie theory (1890-1908): rigorous solution of Maxwell equations. All the scattering effects are merged. Extension to multilayered spheres. Debye theory (1909): post processing of Lorenz-Mie. The different scattering effects could be separated. Nussenzveig theory (1969) : is “analytical integration” of Debye series, leading to a generalization of Airy. It is clean to have a larger domain of application than Airy

4. Muscle, September 20044 One particleA cloud (section) Rainbow Fluorescence Airy, Lorenz-Mie, Debye, Nussenzveig Global Lorenz-Mie, Debye Internal field Multiple scattering

5. Muscle, September 20045 List of program Internal field and homogeneous sphere : INTGLMT Internal fields+near field : NEARINT 1or 2 beam(s) impinging on a sphere, internal field : 3D2F (3 dimensions) 2D2F (2dimensions) DEBYE internal field : INTDEBYE Far field and homogeneous sphere : DIFFGLMT Far field and multilayered sphere : MCDIFF DEBYE Far field : DIFFDEBYE Far field for pulses : PULSEDIFF

6. Muscle, September 20046 Rainbow far the rainbow angle according with Nussenzveig

7. Muscle, September 20047 Comparison of Lorenz-Mie, Debye, Nussenzveig and Airy predictions for one particle

8. Muscle, September 20048 Rainbow far the rainbow angle according with Nussenzveig

9. Muscle, September 20049 D<=15 Y= -0.2523Z+1.2807 Y= -0.1642Z+1.1722 Y= -0.0946Z+1.0982 Y= -0.0593Z+1.0639 15>D<=35 35>D<=75 75>D<=150 Z is the argument of Airy function

10. Muscle, September 200410 Comparison of Lorenz-Mie, Debye and Nussenzveig predictions for one particle

11. Muscle, September 200411 Comparison of Lorenz-Mie, Debye and Nussenzveig predictions for cloud of particle

12. Muscle, September 200412 Effect of an imagining part of the refractive index maximumRefractive index nk=0.0005139.601.330 nk=0.001139.631.3299 nk=0.025139.581.3298 nk=0.005 ///////

13. Muscle, September 200413 Refractive index at center is n c Refractive index at surface is n s The law is :

14. Muscle, September 200414

15. Muscle, September 200415 b=21.3259 b=-21.3459 b=61.3198 b=-61.3578

16. Muscle, September 200416 2D model Two steps: Excitation by the laser Collection in a given solid angle of the fluorescence

17. Muscle, September 200417 2D model : Excitation map Internal intensity (in log-scale) created by a beam with a beam waist diameter equal to 20 µm, and a wavelength equal to 0.6 µm. The particle is a water droplet with a diameter equal to 100 µm and a complex refractive index equal to 1.33 – 0.0 i. The parameter is the impact location of the beam: (a)  = 50 µm (on the edge of the droplet), (b)  = 30 µm and (c)  = 0 µm (on the symmetry axis of the droplet).

18. Muscle, September 200418 2D model : Detection map

19. Muscle, September 200419 Map of fluorescence emission. The particle is a water droplet of 100 µm on which impinges a laser beam with a diameter equal to 20 µm, and for an impact location equal to 50 µm (Fig. 2a). The parameter is the location of the collecting lens: (a) 0°, (b) 90° and (c) 180°. 2D model : Answer

20. Muscle, September 200420 2D model Diagram of fluorescence for a water droplet of 100 µm. The parameter is the impact location  which runs from 60 µm to –60 µm by steps of 10 µm. The left figure is in linear scale while rigth figure is in logarithm scale.

21. Muscle, September 200421 3D model : Excitation map