### Angular Resolution Calculator :

Enter the angular resolution calculator its Wavelength in nm, Aperture diameter in mm, Resolution in degrees(deg) and you get the calculation in below calculator.

### Angular Resolution Formula :

Angular Resolution formula is the angular resolution and expressed Θ_{(r) } in radians is equal to the constant value 1.22 and multiply the wavelength of light λ_{(nm)} in nano meter and divided by the diameter of lens aperture in d_{(mm)} in millimeter.Hence the Angular Resolution formula can be written as

Θ_{(r)}=1.22 *λ_{(nm)} /d_{(mm)}

Where;

Θ= Angular Resolution and expressed in units radians

Λ= wavelength of light in nano meter

D= diameter of lens aperture in millimeter

### Example: 1

Calculate the Angular Resolution of the lens if the wavelength of light is 200nm and aperture diameter is 40mm?

### Solution :

Given that;

Wavelength of light Λ=200nm

Aperture Diameter =40mm

We know the formula to find out the Angular Resolution is

Θ_{(r)}=1.22 *λ_{(nm)} /d_{(mm)}

Λ=0.0000002nm

D=0.04mm

Convert the wavelength 200nm to meter

200*0.000000001 meter

Wavelength=2.0000000000000000*10^{-07} meter

Convert the diameter =40mm to meter

Diameter =40*0.001meter

Diameter=0.04meter

Resolution =1.22*2000000000000002 *10^{-07}/0.04

Resolution=6.100000 *10^{-06 } radian

### Example: 2

Calculate the Angular Resolution of the lens if the wavelength of light is 80nm and aperture diameter is 20mm?

### Solution :

Given that;

Wavelength of light Λ=80nm

Aperture Diameter =20mm

We know the formula to find out the Angular Resolution is

Θ_{(r)}=1.22 *λ_{(nm)} /d_{(mm)}

Λ=0.0000008nm

D=0.02mm

Convert the wavelength 80nm to meter

80*0.000000001 meter

Wavelength=2*10^{-08} meter

Convert the diameter =20mm to meter

Diameter =20*0.001meter

Diameter=0.02meter

Resolution =1.22*8*10^{-8}/0.02

Resolution=4.880000 *10^{-06 } radian