Question
On the basis of Fresnel diffraction integral, discuss the conditions which differentiate between Fresnel and Fraunhofer diffraction.
Answer :
Word Count : 351
_______ ________ __________ ______ _______ ___ ____ ______ ______ _________ ______ ________.
____ _________ _______ ______ _____ ________ _______ ___ _______ _______.
_____ _______ ____ ________ _________ ____ ____.
_______ _________ _____ __________ ________ ___ _____ __________ _____ ___ ________.
_________ ___ ______ ____ __________ _____ ________.
__________ _____ _______ _________ ___ _________ ____ ______ ____ ___.
_____ ________ ________ __________ _______ ___ ___ _____ ____ ______ ______.
__________ ____ ____ _________ ______ ______ _________ ____ ________ ___ ________ ______.
_________ ________ ______ _________ ________ ________ ______ ______ _______.
___ _________ ________ _____ ___ __________ ____ __________ ______ _________ ___ _______.
______ _______ ____ _____ __________ _________ __________ _______ ______ _________ _______.
______ ______ ______ ___ _________.
_____ _________ _____ ________ _____.
___ _________ ________ ______ ________ _____ _______ _____ ____.
______ _________ ____ ________ ________ ________ _________.
________ ____ ________ _____ ________ __________ _______ _____ ____.
__________ ________ ________ _____ _________ _________ ____ ______ __________.
___ ____ ________ ______ ____ ____ ______ ______ ______ _________ __________.
_______ ___ ____ __________ ____ ____ ______ ______ ____ _________.
_______ _____ ____ _____ ___ ________ ______ ____ _________ _______ ___ ___.
_______ ___ _____ ____ _______ ________ _____ _____.
_______ ________ ______ ________ ______ ______.
_____ ________ ______ ________ ________.
_________ ___ ____ ____ _________ _________.
__________ ___ ______ ____ ___.
Skip in 10
Fresnel diffraction is derived from the Huygens-Fresnel principle, where the complex amplitude at a point (P) on the observation screen is given by the Fresnel-Kirchhoff integral: [ U(P) = \frac{e^{ikr}}{i \lambda r} \iint_{\text{aperture}} U_0(x',y') e^{i k \frac{(x-x')^2 + (y-y')^2}{2r}} dx' dy' ] Here, (U_0(x',y')) is the amplitude at the aperture, (r) is the distance from the aperture point ((x',y')) to the observation point ((x,y)), (k = 2\pi/\lambda) is the wave number, and (\lambda) is the wavelength. The quadratic phase term (\exp\big[i k \frac{(x-x')^2 + (y-y')^2}{2r}\big]) accounts for the curvature of the wavefront. In Fresnel diffraction, the wavefront curvature cannot be neglected, so the quadratic term is retained. This occurs when the distance between the aperture and screen is finite and comparable to the aperture size. A
_______ ____ ________ __________ ______ ________._______ ________ __________ ______ _______ ___ ____ ______ ______ _________ ______ ________.
____ _________ _______ ______ _____ ________ _______ ___ _______ _______.
_____ _______ ____ ________ _________ ____ ____.
_______ _________ _____ __________ ________ ___ _____ __________ _____ ___ ________.
_________ ___ ______ ____ __________ _____ ________.
__________ _____ _______ _________ ___ _________ ____ ______ ____ ___.
_____ ________ ________ __________ _______ ___ ___ _____ ____ ______ ______.
__________ ____ ____ _________ ______ ______ _________ ____ ________ ___ ________ ______.
_________ ________ ______ _________ ________ ________ ______ ______ _______.
___ _________ ________ _____ ___ __________ ____ __________ ______ _________ ___ _______.
______ _______ ____ _____ __________ _________ __________ _______ ______ _________ _______.
______ ______ ______ ___ _________.
_____ _________ _____ ________ _____.
___ _________ ________ ______ ________ _____ _______ _____ ____.
______ _________ ____ ________ ________ ________ _________.
________ ____ ________ _____ ________ __________ _______ _____ ____.
__________ ________ ________ _____ _________ _________ ____ ______ __________.
___ ____ ________ ______ ____ ____ ______ ______ ______ _________ __________.
_______ ___ ____ __________ ____ ____ ______ ______ ____ _________.
_______ _____ ____ _____ ___ ________ ______ ____ _________ _______ ___ ___.
_______ ___ _____ ____ _______ ________ _____ _____.
_______ ________ ______ ________ ______ ______.
_____ ________ ______ ________ ________.
_________ ___ ____ ____ _________ _________.
__________ ___ ______ ____ ___.
IGNOU ACADEMY
Your IGNOU journey, made easier.
- Solved Assignments
- Study Notes
- Guess Papers
- Question Papers
Continue Reading — It's Free
Sign in with Google to unlock more of this answer.
✓ Free access
✓ Unlock up to 60% of the answer
✓ No payment required
✓ Unlock up to 60% of the answer
✓ No payment required
Quick Google sign-in. No separate registration form.