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Analysis of High Frequency Field in Focal Region Using Maslov’S Method

Thesis Info

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Author

Ghaffar, Abdul

Program

PhD

Institute

Quaid-I-Azam University

City

Islamabad

Province

Islamabad.

Country

Pakistan

Thesis Completing Year

2009

Thesis Completion Status

Completed

Subject

Applied Sciences

Language

English

Link

http://prr.hec.gov.pk/jspui/handle/123456789/394

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676725484218

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Maslov’s method has been used to derive high frequency field expression for differ- ent focusing systems. Derived high frequency field expression is valid around the focal region of focusing systems. Both reflection and transmission based focusing geometries are considered for discussion. Three dimensional Cassegrain and Gregorian systems are considered reflection problems. Hyperbolic lens, hyperboliodal lens, plano-convex lens, inhomogeneous slab and its three dimensional version, that is Wood lens are con- sidered as transmission problems. It is assumed that each focusing system is placed in isotropic, homogeneous medium and observed their focused field around the focal region. Next it is consider that transmitted fields from inhomogeneous slab, Wood lens and plano-convex lens are focused into negative uniaxial crystal. The numerical results for focused fields inside negative uniaxial crystal with several different orientations of the optical axis in the plane of incidence are obtained. Maslov’s method is a systematic procedure for predicting the field in the caus- tic region. It combines the simplicity of ray theory and generality of the transform method and provides remedy of geometrical optics which fails at caustic. Geomet- rical optics field may be recovered from the high frequency field expression, derived using Maslov’s method, for observation points away from the caustic. Field patterns obtained using Malov’s method are compared with those obtained using equivalent current distribution method, Huygens Krichhoff’s integral, and Debye Wolf focusing integral and comparisons are found to be in good agreement.
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پروفیسردُنٹ

پروفیسر دُنٹ

            ماہ گزشتہ کا ایک اہم علمی حادثہ جرمنی کے نامور پروفیسر دُنٹ کی وفات ہے، پروفیسر موصوف فن نفسیات (سائیکولوجی) میں اس وقت استاذ الاساتذہ کا مرتبہ رکھتے تھے، ان کے زمانہ سے پیشتر نفسیات کو عام فلسفہ کی ایک شاخ سمجھا جاتا تھا، دنٹ ہی نے سب سے پہلے یہ بتایا کہ نفسیات بذات خود ایک مستقل فن ہے، جس کے نتائج کی بنیاد قیاس و استدلال پر نہیں بلکہ تجربات و اخبارت پر ہے، چنانچہ سب سے اول انہیں نے نفسیات کے لیے معمل (تجربہ گاہ) قائم کیا، جس میں مادی علوم کے معلموں کی طرح سارا کام تجربات کی مدد سے انجام پانے لگا اور ایک جدید فن نفسیات طبیعی (سائیکو فزکس) کی بنا ڈالی، اس کے علاوہ فلسفہ و اخلاق، منطق وغیرہ پر بھی ان کی گراں پایہ و ضخیم تصانیف ہیں، ابتداً وہ وجود روح کے منکر اور مادیت کے پیرو تھے، لیکن رفتہ رفتہ روح کے قائل اور بالآخر سخت مذہبی آدمی ہوگئے تھے، وفات کے بعد ان کی عمر ۸۸ سال سے متجاوز تھی۔ (سید سليمان ندوی،اکتوبر ۱۹۲۰ء)

 

اسلام ميں حسن اخلاق کی فضيلت اور اہميت

Mannerism deals with inner-self and or how to achieve goals in life. It brings harmony in physical and spiritual attributes of a person. As Prophet Muhammad (PBUH) was an excellent example due to His apparent and spiritual moral values that is why The Holy Quran and Hadith direct the society and individual to follow Him. Islam is based on moral values and wishes for a society where people live at individual and community level is having its basis on moral values and spiritualism depicted by the divine teaching. Islamic system preaches good moral values and indicates ways to get saved from ill-mannered behavior. An individual with good moral values reflects good faith and blessings from Allah. Islam promoted a sense of responsibility and fear of the Day of Judgment with Love to Allah in such a way that all the life of an individual was converted to a prayer. This spirit affected all the aspects of individual and society life. This article guides us to understand those moral values.

Nutritional and Biochemical Evaluation of Vitamin K Enriched Dietary Sources

The present investigation was an effort to explore the health claims of vitamin K enriched dietary sources i.e. cooked spinach and fermented soybean/natto against the menace of vitamin K deficiency. Initially, spinach and soybean were characterized with special reference to vitamin K contents followed by product development and finally bioefficacy study for the management of blood coagulation and vitamin K dependent proteins. The nutritional analysis indicated that spinach has ample amount of moisture followed by protein and fiber whereas soybean contains higher amount of protein and fat contents. The high performance liquid chromatography (HPLC) quantification of vitamin K revealed that phylloquinone was higher in spinach as compared to soybean. Amongst antioxidant extracts, methanolic extracts of spinach and soybean showed higher total phenolic, 2,2-diphenyl-1 picrylhydrazyl (DPPH) scavenging and antioxidant activities. During product development phase, four dietary products i.e. cooked spinach (T 1 ), reconstituted spinach (T 2 ), natto A (T 3 ) and natto B (T 4 ) were formulated. Characterization of soybean based prepared products showed improvement in nutritional status due to fermentation as compared to raw material. In the formulated products, cooked spinach (T 1 ) and natto A (T 3 ) attained higher scores for sensory profile from each category. On the basis of nutritional characterization, vitamin K contents and antioxidant potential, two best products i.e. T 1 and T 3 one from each raw material were selected for efficacy study. Bioevaluation study was carried out involving New Zealand rabbits through two sequential trials for validity of the results. Accordingly, two types of studies were conducted on the basis of different groups of rabbits i.e. study I (normal rabbits) and study II (vitamin K deficient rabbits). Moreover, three different types of dietary sources namely cooked spinach a source of phylloquinone (D 2 ), natto for menaquinone-7 (D 3 ) and synthetic menadione (D 4 ) along with control (D 1 ) were provided to the respective groups. Feed & water intakes and body weights of rabbits varied significantly (p<0.05) with vitamin K dietary sources in study II while these traits behaved non-significantly in study I. The blood coagulation parameters including bleeding, clotting and prothrombin & partial thrombinplastin times and international normalized ratio (INR) were significantly (p<0.05) reduced due to vitamin K enriched dietary sources in vitamin K deficient rabbits (study II) except fibrinogen level that was improved. The serum phylloquinone levels were increased momentously (p<0.05) during study I & II (trial 1) by 23.78, 16.71 & 10.64 and 47.58, 36.42 & 27.71% in D 2 , D 3 & D 4 groups, respectively as compared to control. Similarly, serum menaquinone-7 level was improved in D 2 , D 3 and D 4 groups by 2.59, 17.77 & 1.11 in study I and 12.74, 24.50 & 10.78% in study II (trial 1). The vitamin K dependent proteins i.e. osteocalcin was increased whilst, undercarboxylated osteocalcin (ucOC) and protein induced by vitamin K absence or antagonist-II (PIVKA-II) were decreased due to vitamin K enriched dietary sources. Likewise trend for these traits was noticed in trial 2 of both studies. The liver & kidney functioning tests and hematological values were within normal range. From the present exploration, it is concluded that vitamin K enriched dietary sources containing menaquinone-7 and phylloquinone are effective to improve the serum vitamin K status and ameliorate the coagulation and vitamin K dependent proteins related abnormalities.