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(Color online) Variation of the beam width parameters
(
f
1
and
f
2
)
with the normalized distance of propagation (ξ) of first and second HGBs: (a) For different orders of n (red, black and blue colors are for n = 1, 2 and 3) with
a
1
=
3
,
a
2
=
2.4
and
ω
p
0
=
0.3
ω
2
. (b) For different values of
a
2
(red, black, and blue colors are for
a
2
=
2
, 2.4, 2.8) with
a
1
=
3
,
n
=
2
and
ω
p
0
=
0.3
ω
2
. (c) For different values of ωp0 (red, black, and blue colors are for
ω
p
0
=
0.2
ω
2
,
0.3
ω
2
, and
0.4
ω
2
) with
a
1
=
3
,
a
2
=
2.4
. and
n
=
2
, respectively, when relativistic and ponderomotive nonlinearities are operative. The solid line represents
f
1
and the dotted line represents
f
2
.
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