Holographic grating - can we calculate efficiency for each order?

[Turksen]

Hi,

I'm new to working with gratings. From using the basic grating eqn., I'm able to model the diffraction angles for each order with different angles of incidence upon the grating and I can calculate the dispersion given a broadband source with known minimum and maximum wavelength.

However, I'm unsure how the angle of incidence affects the power going into each order. I think the n=+1 order is usually the most efficient, although is there a dependence upon the incidence angle / diffraction angle for efficiency?

Thanks

 

[Andy Resnick]

Grating efficiency is a complex function of incident polarization and groove shape- I'm not sure there is a underlying analytic theory to start from. To get started, see chapter 9-

http://gratings.newport.com/library/handbook/handbook.asp

and

http://www.opticsinfobase.org/ao/abstract.cfm?uri=ao-16-10-2711

 

[Turksen]

Grating efficiency is a complex function of incident polarization and groove shape- I'm not sure there is a underlying analytic theory to start from. To get started, see chapter 9-

http://gratings.newport.com/library/handbook/handbook.asp

and

http://www.opticsinfobase.org/ao/abstract.cfm?uri=ao-16-10-2711

Thanks, I've seen the handbook already but will check out the paper.

Cheers!

 

[Khashishi]

In the case of some volume phase gratings I've seen, the shape of the grating only allows one order to exist. The higher orders have a larger than 90 degree diffraction angle and therefore don't exist. You might check out: R.E. Bell. Exploring a transmission grating spectrometer. RSI 75 10 (2004)

 

[PJC01]

for your question!

Yes, it is possible to calculate the efficiency for each order of a holographic grating. The efficiency of a diffraction grating is determined by factors such as the grating spacing, the wavelength of light, and the angle of incidence. The efficiency of each order can be calculated using the grating equation, which relates the angle of diffraction to the grating spacing and the wavelength of light. However, the efficiency can also be affected by the polarization of the incident light and the properties of the grating material.

To accurately calculate the efficiency for each order, it is important to consider the angle of incidence and the diffraction angle. As you mentioned, the n=+1 order is usually the most efficient, but this can vary depending on the angle of incidence and the properties of the grating. In general, the efficiency of the higher orders decreases as the angle of incidence increases, while the efficiency of the lower orders decreases as the angle of incidence decreases.

Additionally, the efficiency can also be optimized by adjusting the grating spacing and the angle of incidence. This can be done through rigorous simulations or experimental measurements. Overall, the efficiency of each order can be accurately calculated by considering all the relevant factors and optimizing the grating design for the desired performance.