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CHEM01200604009 Sreejith Kaniyankandy - Homi Bhabha ...

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78<br />

Here E is the electric field of light, <br />

( n)<br />

is the susceptibility of nth nonlinearity and<br />

magnitude decreases for the higher nth order terms. Therefore it is clear from the equation<br />

that harmonic generation is present only when light intensities are very high. For many<br />

crystals used for SHG is seen for light intensities of the order of GW/cm 2 .The second term in<br />

the equation is responsible for second harmonic generation.<br />

Let’s consider the second order term<br />

P<br />

(2) 2<br />

2<br />

<br />

0<br />

E<br />

(2.16)<br />

For an electromagnetic wave E E0 cos( t kr)<br />

,<br />

(2) 2 2 1 (2) 2 (2) 2<br />

P2 0<br />

E0 cos ( tkr) ( <br />

0<br />

E0 0<br />

E0<br />

cos 2( t kr))<br />

(2.17)<br />

2<br />

Additionally harmonic is generated only if the phases of the two waves match. This condition<br />

is given by k( ) k(2 )<br />

. This condition is satisfied in uniaxial birefringent crystals like<br />

BBO that have two different refractive indices n o and n e for the ordinary and the<br />

extraordinary waves where n (2 , ) n ( )<br />

. In our set up we use pulse energy of<br />

e<br />

o<br />

~100μJ/pulse at 800nm which is focused on 0.5mm BBO crystal to generate ~10μJ/pulse of<br />

second harmonic at 400nm.<br />

2. 8. 4. White Light Generation- 450-1100nm Probe<br />

To monitor transients after a pump pulse excitation, we use a probe pulse with<br />

wavelengths ranging from visible to near IR region. This is done by creating white light<br />

using a part of 800nm amplified output. The phenomenon responsible for generation of white<br />

light is self phase modulation. The 800nm pulse with time duration of 50fs and energy of few

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