Enlargement of an extraocular muscle can occur in a number of conditions.
Detection: imaging study (MRI, CT)
Causes of a diffuse enlargement:
(1) acromegaly
(2) amyloidosis
(3) thryoid ophthalmopathy of Graves Disease (thyroid-associated orbitpathy)
(4) infection, including parasitic
(5) trauma
(6) arteriovenous malformation
(7) collagen vascular disease (orbital myositis, sarcoidosis, etc)
(8) pseudotumor
(9) tumor (leukemia, lymphoma, etc)
Causes of a focal enlargement (localized mass-like):
(1) cysticercosis
(2) trichinosis
(3) cyst
(4) primary or metastatic carcinoma