| 00:00:00 | Untitled |
| 00:01:47 | Abstract |
| 00:02:24 | Obligatory Opening Quotation (O2Q) |
| 00:03:35 | The giantsMaxwell, Lord Rayleigh (John William Strutt), and Stokes had more than dabbled… Maxwell had set the scene in 1865.….or had he?….. |
| 00:04:39 | Rayleigh – “Rawl-ee" |
| 00:05:29 | Rayleigh |
| 00:06:30 | It had all been done before…. in 1863....Alfred Clebsch "Über die Reflexion an einer Kugelfläche" Journal für Mathematik, Band 61, Heft 3, 195 – 262 (1863) This is before Maxwell! |
| 00:07:43 | No diagrams though…. Only complex math…. |
| 00:08:19 | But… |
| 00:09:27 | Clebsch |
| 00:10:24 | The same fate befell Lorenz…… |
| 00:11:51 | No-one can have these papers can they?! |
| 00:12:09 | Early work |
| 00:13:37 | Debye came afterwards (1909) in the same journal as Mie (Annalen der Physik) |
| 00:14:26 | So what did Debye do differently?After Laven in “The Mie Theory” (Eds. Hergert/Wreidt) |
| 00:15:39 | Mie and Debye (after Laven in “The Mie Theory”) |
| 00:16:40 | So Mie wasn’t even second…. But he did have diagrams! |
| 00:18:04 | So, Gustav, what does it mean to Mie? |
| 00:19:09 | Ph.D (1892) & Biography‘‘On the Fundamental Principle of the Existence of Integrals of Partial Differential Equations’’ |
| 00:20:12 | In Ph.D thesisTranslation by Ulf NobbmannIch bin Ihnen sehr dankbar |
| 00:20:48 | More ‘Lebenslauf’ |
| 00:21:04 | Mie’s letter to the journal |
| 00:22:13 | The journal’s response (Wilhelm Wien) |
| 00:22:53 | The paper – in Annalen der PhysikAnn. Physik, 25, 377 – 445, (1908) |
| 00:23:33 | 2 translations: one into English (1976) and one into American (1978) |
| 00:24:21 | An overview of Mie’s solution |
| 00:25:54 | The scattered intensity as a function of angle |
| 00:27:41 | The argument develops… |
| 00:29:15 | We then need to calculate the intensity functions |
| 00:30:05 | Ah, but what was p and t? |
| 00:31:17 | p and t |
| 00:31:47 | The error |
| 00:32:44 | Harry Bateman (1882 – 1946)“To shake his hand was like grasping a leaf of wilted lettuce” |
| 00:34:05 | OK, back to Mie |
| 00:34:37 | Getting complicated?! Big J…. |
| 00:36:10 | Making waves |
| 00:36:47 | The Mie plot |
| 00:37:55 | Practical computing of am and bm |
| 00:39:03 | Thus… |
| 00:39:10 | And… designating 4 new terms |
| 00:39:46 | Note |
| 00:40:29 | Then… |
| 00:40:39 | How many summations/terms? |
| 00:41:58 | a = 0.1 and a = 20 (Penndorf/Goldberg) |
| 00:42:53 | I said, how many?! |
| 00:43:43 | Summations continued |
| 00:44:58 | Bohren and Huffman – “BHMIE” |
| 00:45:38 | The RI’s Mie used for his (Au) calculations |
| 00:46:00 | Mie’s legacy and novelty (after Horvath) |
| 00:47:14 | The outcome:pictures and predictions! |
| 00:47:51 | Now we can do these calculations on our PC |
| 00:48:59 | The scattering is complex – even for a sphere!Gérard Gouesbet’s team in France |
| 00:48:59 | General form of the plot (p 289; Davis Ed.) |
| 00:49:44 | Theory not universally accepted………. |
| 00:50:43 | Sleeping Beauty… |
| 00:50:57 | But it grew and grew…. Sleeping Beauty |
| 00:51:31 | But we also note… |
| 00:52:01 | The old way The modern way Philip Laven’s MiePlot |
| 00:52:20 | Acknowledgements |
| 00:52:55 | Best references to Mie (the person) and his solution…. |
| 00:54:05 | References |
| 00:54:23 | References |
| 00:54:57 | The T-shirt logos – 2008; © Alan Rawle |
| 00:55:09 | And there’s more… © Alan Rawle |
| 00:55:27 | Thank you! |
| 00:56:13 | Contact Information |
This webinar will highlight the development of light scattering theories in the late 1800's culminating in Mie's classic paper in Ann. Physik. We'll hightlight the editorial exchanges that took place prior to publication.