Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: First and second order all-optical integrating functions in a photonic
  integrated circuit   We demonstrate all-optical temporal integration of arbitrary optical
waveforms with temporal features as short as ~1.9ps. By using a four-port
micro-ring resonator based on CMOS compatible doped glass technology we perform
the 1st- and 2nd-order cumulative time integral of optical signals over a
bandwidth that exceeds 400GHz. This device has applications for a wide range of
ultra-fast data processing and pulse shaping functions as well as in the field
of optical computing for the real-time analysis of differential equations.

35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
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The categories of this paper are: eess
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org