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  • Conversion Calculator

Conversion Calculator

Support Conversion Calculator

The APE Conversion Calculator helps to easily evaluate often needed (non)linear equations.

This includes Sum Frequency Generation (SFG), Difference Frequency Generation (DFG), the wavelength relations in an Optical Parametric Oscillator (OPO) as well as in coherent anti-Stokes Raman scattering (CARS) spectroscopy.

The conversion between wavelength, wavenumber, and frequency as well as different characterizations of pulses can be calculated.

The APE Conversion Calculator is available for Android and iOS devices. Check application for device version compatibility.

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Show Calculator Instructions

The APE Calculator works as follows:

The input and output fields for values of a formula are displayed in a row. The input values are entered into the empty fields (no selected radio button above the field), while the output value (selected radio button above the filed) is calculated, as soon as the input values are all entered.

The active radio button may be changed, and this field will become the one being calculated.

Red table elements signify missing or wrong input while green ones mean proper output has been calculated. Yellow fields indicate that boundary conditions of the formula to be calculated have been violated.

To see the underlying formula, move your mouse over the word ‘equation’ positioned at the top left corner of each row.

For the CARS process, two input values are required to calculate two output values.

The output values are freely chosen by check marking the box above the respective field, where two fields only can be chosen, and the third one unchecks automatically.

To change the precision of the displayed values, select the appropriate radio button.

SFM
DFG
OPO
CARS
Wavelength - Wavenumber - Frequency Conversion
Bandwidth Conversion
Conversion of Bandwidth and Pulse Duration for Transform Limited Pulses

The formula for the time bandwidth product (TBWP) can be used in different ways:With the input of a pulse duration and bandwidth, the corresponding TBWP will be calculated.With the input of a time bandwidth product (or choose a Gauss or sech² pulse form from the drop down menu for a minimal TBWP of the respective pulse form), and a bandwidth, the corresponding pulse duration can be calculated (and vice versa).

Dispersion Calculator

When passing through a dispersive material ultrafast pulses suffer from a broadening due to dispersion as shown in figure. The window above allows for the estimation of this effect on transform-limited Gaussian pulses under consideration of second order dispersion (f2) only.The two possible input pulse durations leading to an equal stretched pulse duration travelling through the same distance in a dispersive media are denoted as tin and t'in in the above field, and are calculated when the radio button tin is active.

figure
Propagation of Light
Wavelength Conversion Calculator
SFM
equation
DFG
equation
OPO
equation
CARS
equation
 
 
 
cm-1
equation Wavelength - Wavenumber - Frequency Conversion
vacuum wavelength
λ 
wavenumber
ṽ cm-1
frequency
v 
equation Bandwidth Conversion
wavelength
Δλ 
Δλ 
wavenumber
Δṽ cm-1
Δṽ cm-1
frequency
Δv 
Δv 
equation Conversion of Bandwidth and Pulse Duration for Transform Limited Pulses
Δτ
Δv
Δṽ cm-1
Δλ 
Δλ 

(TBWP)

Minimum TBWP for pulses with
Gauss-shape: 0.44
Sech²-shape: 0.315

The formula for the time bandwidth product (TBWP) can be used in different ways:

With the input of a pulse duration and bandwidth, the corresponding TBWP will be calculated.

With the input of a time bandwidth product (or choose a Gauss or sech² pulse form from the drop down menu for a minimal TBWP of the respective pulse form), and a bandwidth, the corresponding pulse duration can be calculated (and vice versa).
equation Dispersion Calculator

duration of transform limited Gaussian pulse
t'in
t'in  

second order group velocity dispersionof dispersive material
 
  

pulse duration after travelling through dispersive material
 
  
equation Propagation of Light
t - propagation time

x - propagation distance
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