IOM 2020, Експеримент — Задача 15

Answer Sheet

Внимание: Бележка към темата

The source is the experimental-round answer sheet with the official answers overlaid in red; the task description with the experiment setup (videos) is not in the archive, and the answer-sheet pictures are available only with the answers drawn on them.

Условие

Q.15 a) What function of the power of the first harmonic should be proportional to the power of the third harmonic theoretically? Write down the formula.

Q.15 b) What function of the second harmonic power should be proportional to the third harmonic power theoretically? Write down the formula.

Q.15 c) The dependence of the third harmonic power on the first harmonic power or the second harmonic power can be expressed as follows, I3ω=A⋅IωBI_{3\omega} = A \cdot I_{\omega}^{B} or I3ω=A⋅I2ωBI_{3\omega} = A \cdot I_{2\omega}^{B}

From the experimental data, calculate the power BB to which you need to raise the power of the first harmonic to get a result proportional to the power of the third harmonic. Also calculate the proportionality factor AA.

Q.15 d) From the experimental data, calculate the power B to which you need to raise the power of the second harmonic to get a result proportional to the power of the third harmonic. Also calculate the proportionality factor A.

Q.15 e) Briefly describe the reason why the experimental dependences of the third harmonic power on the first and second harmonics power do not coincide with the theoretical ones. Write down the answer in English.

Отговори

Решение

Experimental data for second harmonic generation.
KDP 0.5 cmKDP 2.0 cmKDP 4.0 cm
First harmonic Power, WattsSecond harmonic Power, WattsFirst harmonic Power, WattsSecond harmonic Power, WattsFirst harmonic Power, WattsSecond harmonic Power, Watts
110400.80166623.72534131.902
208502.5172017035.3159905.867
4023010.11136980126.11258026.88
7490032.1464740390.22294084.08
9320054.098290056937210240.2
12680097.89108400105054780565.9
147200131.11274001387813501157
165100169.71512001977977301574
171700184.216740023881163002319
17750026971380003224
1530004127
1554004331
Experimental data for third harmonic generation.
First harmonic Power, WattsThird harmonic Power, WattsSecond harmonic Power, WattsThird harmonic Power, Watts
77680.41479.01
129501.5432.830.13
260109.2667.851.41
4089030.771384123.9
5831070.12182217.3
76790110.93000318.9
988302104546557
117900265.54913577.8
137000412.95550678.3
154600502.8
162900685.1
166200676.7

Оригинал в Архива: exp.pdf