Wave Optics

Wavelength $$\lambda$$

Frequency $$\nu$$

Wavelength change from vacuum to a material $$\lambda=\frac{\lambda_0}{n}$$

Interfranja $$i$$

Young's Experiment

$$i=\frac{\lambda D}{2ln}$$

$$D$$ slit-screen distance

$$2l$$ slit distance

Fresnel mirrors

$$i=\frac{(r+L)\lambda}{2r\alpha}$$

$$r$$ light source-mirrors distance

$$L$$ mirrors-screen distance

$$\alpha$$ angle between the mirrors

Fresnel Biprism

$$i=\frac{\lambda (D+d)}{2(n-1)Ad}$$

$$A$$ - biprism angle

$$D$$ - biprism-screen distance

$$d$$ - light source-biprism distance

Parallel faces blade

$$\delta =2nd\cos r +\frac{\lambda}{2}$$

$$d$$ thickness of the blade

Optical feather

$$i=\frac{\lambda}{2n\alpha}$$

Newton's rings

$$r_k=\sqrt(\frac{R\lambda}{2n}(k-1)$$

Diffraction

$$k\lambda=\frac{\sin i+\sin\alpha}{n}$$

Displacement of the main maxima when the light source is moved paralel to the gratings

$$x=\frac{Dh}{d}$$

$$D$$-light source-grating distance

$$d$$-grating-screen distance

$$h$$light source displacement

Rezolution of a diffracion grating

$$\frac{\lambda}{\Delta\lambda}=kN$$