Transmission gratings operate on the same basic principle of interference via a periodic structure, but instead transmit the diffracted light to allow more compact, lens-based optical designs.
Theory:
The plane transmission grating is a plane-sheet of see-through material on which multiple rulings (opaque) are made which can be obtained with the help of a fine diamond pointer. The combined width of the ruling and a slit in the grating is called as grating element
A plane transmission grating consists of a flat surface with closely spaced parallel slits or rulings. The diffraction pattern produced by a plane transmission grating can be explained using the principles of diffraction.
When light passes through the slits of a transmission grating, it undergoes diffraction. The key aspects of the diffraction pattern can be described by the following equations:
1. Grating Equation:
[tex] \[ m \lambda = d \sin(\theta) \][/tex]
Where:
[tex]( m )[/tex] is the order of diffraction.
[tex]( \lambda ) [/tex]is the wavelength of light.
[tex]( d )[/tex] is the separation between adjacent slits.
[tex]( \theta ) [/tex]is the angle of diffraction.
2. Intensity of Orders:
The intensity of the diffracted orders depends on the phase differences between the waves emerging from different slits. Constructive interference occurs when the path difference is an integer multiple of the wavelength, leading to bright fringes, while destructive interference results in dark fringes.
In summary, the grating equation relates the order of diffraction, wavelength of light, grating spacing, and the angle of diffraction. The resulting diffraction pattern includes bright and dark fringes corresponding to different orders of diffraction.
Answers & Comments
Explanation:
Principle
Transmission gratings operate on the same basic principle of interference via a periodic structure, but instead transmit the diffracted light to allow more compact, lens-based optical designs.
Theory:
The plane transmission grating is a plane-sheet of see-through material on which multiple rulings (opaque) are made which can be obtained with the help of a fine diamond pointer. The combined width of the ruling and a slit in the grating is called as grating element
Keep smiling ❤️✨
Verified answer
[tex]{\huge{\colorbox {lightyellow}{Answer }}}[/tex]
A plane transmission grating consists of a flat surface with closely spaced parallel slits or rulings. The diffraction pattern produced by a plane transmission grating can be explained using the principles of diffraction.
When light passes through the slits of a transmission grating, it undergoes diffraction. The key aspects of the diffraction pattern can be described by the following equations:
1. Grating Equation:
[tex] \[ m \lambda = d \sin(\theta) \][/tex]
Where:
2. Intensity of Orders:
The intensity of the diffracted orders depends on the phase differences between the waves emerging from different slits. Constructive interference occurs when the path difference is an integer multiple of the wavelength, leading to bright fringes, while destructive interference results in dark fringes.
In summary, the grating equation relates the order of diffraction, wavelength of light, grating spacing, and the angle of diffraction. The resulting diffraction pattern includes bright and dark fringes corresponding to different orders of diffraction.
I hope this may helps you!
Can I know your name?