Huygens' principle and phase shift

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SUMMARY

The amplitude of Huygens' wavelet is defined as the amplitude of the incident wave multiplied by i / λ, as stated in 'Modern Optics' by Guenther on page 335. The derivation of this formula is linked to the expansion of the point source, specifically the exponent of ik|r-r'|, which is commonly referred to as Huygens' elementary wave. For comprehensive understanding of wave phenomena in optics, the classic reference is "Principles of Optics" by Born & Wolf, which provides detailed explanations and clear figures.

PREREQUISITES
  • Understanding of Huygens' principle in wave optics
  • Familiarity with complex numbers in wave equations
  • Knowledge of wave propagation and point sources
  • Basic principles of optics as covered in "Modern Optics" by Guenther
NEXT STEPS
  • Study the derivation of Huygens' wavelet amplitude in optics
  • Read "Principles of Optics" by Born & Wolf for foundational concepts
  • Explore the mathematical formulation of wave expansion techniques
  • Investigate the applications of Huygens' principle in modern optical systems
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Optics students, physicists, and researchers interested in the wave nature of light and the mathematical foundations of optical phenomena.

paweld
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I wonder why the amplitude of Huygens' wavelet is equal to the amplitude of incident wave multimpled by i / \lambda. I found this formula in 'Modern Optics' by Guenther p. 335 unfortunately without proof. Has anyone seen the derivation of this fact.

Could you recommend me some good books in optics about wave nature of light.
 
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Without knowing the formula that you 're referring to, i can tell that terms like these usually appear from the expansion of the point source (exponent of ik|r-r'|, sometimes referred as Huygens elementary wave) over large distances.

The absolute, classic reference for wave phenomena in optics is Born & Wolf. You can find almost everything there. The figures are very nice and clear.
 

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