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Something About Optical Blackhole

Something About Optical Blackhole. Li Li ( 李力 ) Dept. Phys., Fudan Univ. Aiki.Nogard@gmail.com 091229 ED 10min presentation. Introduction. Appl. Phys. Lett. 95 , 041106(2009). Something About Optical Blackhole. Outline. Introduction Begin with Maxwell Equation

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Something About Optical Blackhole

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  1. Something About Optical Blackhole Li Li (李力) Dept. Phys., Fudan Univ. Aiki.Nogard@gmail.com 091229 ED 10min presentation

  2. Introduction Appl. Phys. Lett. 95, 041106(2009)

  3. Something About Optical Blackhole Outline • Introduction • Begin with Maxwell Equation • Mathematica • Comsol

  4. Begin with Maxwell Equation>>Eikonal Function real scalar function of position

  5. Begin with Maxwell Equation>>Play with Good Friends Short Wave Limit

  6. Begin with Maxwell Equation>>Aim at the trajectory Foundmental Equation of Geometrical Optics P φ d s θ o

  7. Begin with Maxwell Equation>>Aim at the trajectory Uniform Medium： n=const. P φ d Straight Line s θ o

  8. Begin with Maxwell Equation>>Spherical Symmetry Bigger n! Appl. Phys. Lett. 95, 041106(2009) P φ d s θ o

  9. Something About Optical Blackhole Outline • Introduction • Begin with Maxwell Equation • Mathematica • Comsol

  10. Mathematica>> Constant Refractive Index WaterBall

  11. Mathematica>>Power Exponent Refractive Index Blackhole

  12. Mathematica>> More Complex Refractive Index Blackhole

  13. Mathematica>> Scattering State

  14. Mathematica>> Other Interesting Path

  15. Something About Optical Blackhole Outline • Introduction • Begin with Maxwell Equation • Mathematica • Comsol

  16. Comsol>>Gaussian Beam

  17. Comsol>>Plane Wave

  18. Something About Optical Blackhole>>Conclusion Conclusion • There are solutions of Maxwell equation in short wavelength to describe geometrical optics. • With designed refractive index(mainly ε), we can control the path of light such as blackhole.

  19. Something About Optical Blackhole>>Thanks! 特别感谢 林志方 教授 王伟华 程恋茜 Prof. Zhifang Lin Weihua Wang Lianxi Cheng

  20. Appendix I >> Derivation relation between S and n Derivation of the eikonal equation =0

  21. Appendix II >> Differential Equation of Optical Path Differential Equation of Optical Path

  22. Appendix III >> Optical Path in Polar Coordinates P φ d s θ o

  23. Appendix IV >> nd=const. P φ d s θ o

  24. Appendix V >> Light Like Bigger n！ Curvature Vector Unit Normal Line Vector n’>n v n’ n s

  25. Appendix VI >> Wow,Comsol! But… • Incident wave • Decay range • Symmetry But…

  26. Appendix VI >> Reflection

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